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	mso-ansi-language:EN-US;
	font-style:italic;}
p.MsoHeading9, li.MsoHeading9, div.MsoHeading9
	{mso-style-noshow:yes;
	mso-style-priority:9;
	mso-style-qformat:yes;
	mso-style-link:"Heading 9 Char";
	mso-style-next:Normal;
	margin:0cm;
	line-height:115%;
	mso-pagination:widow-orphan lines-together;
	page-break-after:avoid;
	mso-outline-level:9;
	font-size:11.0pt;
	font-family:"Arial",sans-serif;
	mso-fareast-font-family:"Times New Roman";
	mso-fareast-theme-font:major-fareast;
	mso-bidi-font-family:"Times New Roman";
	mso-bidi-theme-font:major-bidi;
	color:#272727;
	mso-themecolor:text1;
	mso-themetint:216;
	mso-ansi-language:EN-US;}
p.MsoTitle, li.MsoTitle, div.MsoTitle
	{mso-style-priority:10;
	mso-style-unhide:no;
	mso-style-qformat:yes;
	mso-style-link:"Title Char";
	mso-style-next:Normal;
	margin-top:0cm;
	margin-right:0cm;
	margin-bottom:4.0pt;
	margin-left:0cm;
	mso-add-space:auto;
	mso-pagination:widow-orphan;
	font-size:28.0pt;
	font-family:"Aptos Display",sans-serif;
	mso-ascii-font-family:"Aptos Display";
	mso-ascii-theme-font:major-latin;
	mso-fareast-font-family:"Times New Roman";
	mso-fareast-theme-font:major-fareast;
	mso-hansi-font-family:"Aptos Display";
	mso-hansi-theme-font:major-latin;
	mso-bidi-font-family:"Times New Roman";
	mso-bidi-theme-font:major-bidi;
	letter-spacing:-.5pt;
	mso-font-kerning:14.0pt;
	mso-ansi-language:EN-US;}
p.MsoTitleCxSpFirst, li.MsoTitleCxSpFirst, div.MsoTitleCxSpFirst
	{mso-style-priority:10;
	mso-style-unhide:no;
	mso-style-qformat:yes;
	mso-style-link:"Title Char";
	mso-style-next:Normal;
	mso-style-type:export-only;
	margin:0cm;
	mso-add-space:auto;
	mso-pagination:widow-orphan;
	font-size:28.0pt;
	font-family:"Aptos Display",sans-serif;
	mso-ascii-font-family:"Aptos Display";
	mso-ascii-theme-font:major-latin;
	mso-fareast-font-family:"Times New Roman";
	mso-fareast-theme-font:major-fareast;
	mso-hansi-font-family:"Aptos Display";
	mso-hansi-theme-font:major-latin;
	mso-bidi-font-family:"Times New Roman";
	mso-bidi-theme-font:major-bidi;
	letter-spacing:-.5pt;
	mso-font-kerning:14.0pt;
	mso-ansi-language:EN-US;}
p.MsoTitleCxSpMiddle, li.MsoTitleCxSpMiddle, div.MsoTitleCxSpMiddle
	{mso-style-priority:10;
	mso-style-unhide:no;
	mso-style-qformat:yes;
	mso-style-link:"Title Char";
	mso-style-next:Normal;
	mso-style-type:export-only;
	margin:0cm;
	mso-add-space:auto;
	mso-pagination:widow-orphan;
	font-size:28.0pt;
	font-family:"Aptos Display",sans-serif;
	mso-ascii-font-family:"Aptos Display";
	mso-ascii-theme-font:major-latin;
	mso-fareast-font-family:"Times New Roman";
	mso-fareast-theme-font:major-fareast;
	mso-hansi-font-family:"Aptos Display";
	mso-hansi-theme-font:major-latin;
	mso-bidi-font-family:"Times New Roman";
	mso-bidi-theme-font:major-bidi;
	letter-spacing:-.5pt;
	mso-font-kerning:14.0pt;
	mso-ansi-language:EN-US;}
p.MsoTitleCxSpLast, li.MsoTitleCxSpLast, div.MsoTitleCxSpLast
	{mso-style-priority:10;
	mso-style-unhide:no;
	mso-style-qformat:yes;
	mso-style-link:"Title Char";
	mso-style-next:Normal;
	mso-style-type:export-only;
	margin-top:0cm;
	margin-right:0cm;
	margin-bottom:4.0pt;
	margin-left:0cm;
	mso-add-space:auto;
	mso-pagination:widow-orphan;
	font-size:28.0pt;
	font-family:"Aptos Display",sans-serif;
	mso-ascii-font-family:"Aptos Display";
	mso-ascii-theme-font:major-latin;
	mso-fareast-font-family:"Times New Roman";
	mso-fareast-theme-font:major-fareast;
	mso-hansi-font-family:"Aptos Display";
	mso-hansi-theme-font:major-latin;
	mso-bidi-font-family:"Times New Roman";
	mso-bidi-theme-font:major-bidi;
	letter-spacing:-.5pt;
	mso-font-kerning:14.0pt;
	mso-ansi-language:EN-US;}
p.MsoSubtitle, li.MsoSubtitle, div.MsoSubtitle
	{mso-style-priority:11;
	mso-style-unhide:no;
	mso-style-qformat:yes;
	mso-style-link:"Subtitle Char";
	mso-style-next:Normal;
	margin:0cm;
	line-height:115%;
	mso-pagination:widow-orphan;
	font-size:14.0pt;
	font-family:"Arial",sans-serif;
	mso-fareast-font-family:"Times New Roman";
	mso-fareast-theme-font:major-fareast;
	mso-bidi-font-family:"Times New Roman";
	mso-bidi-theme-font:major-bidi;
	color:#595959;
	mso-themecolor:text1;
	mso-themetint:166;
	letter-spacing:.75pt;
	mso-ansi-language:EN-US;}
p.MsoListParagraph, li.MsoListParagraph, div.MsoListParagraph
	{mso-style-priority:34;
	mso-style-unhide:no;
	mso-style-qformat:yes;
	margin-top:0cm;
	margin-right:0cm;
	margin-bottom:0cm;
	margin-left:36.0pt;
	mso-add-space:auto;
	line-height:115%;
	mso-pagination:widow-orphan;
	font-size:11.0pt;
	font-family:"Arial",sans-serif;
	mso-fareast-font-family:Arial;
	mso-ansi-language:EN-US;}
p.MsoListParagraphCxSpFirst, li.MsoListParagraphCxSpFirst, div.MsoListParagraphCxSpFirst
	{mso-style-priority:34;
	mso-style-unhide:no;
	mso-style-qformat:yes;
	mso-style-type:export-only;
	margin-top:0cm;
	margin-right:0cm;
	margin-bottom:0cm;
	margin-left:36.0pt;
	mso-add-space:auto;
	line-height:115%;
	mso-pagination:widow-orphan;
	font-size:11.0pt;
	font-family:"Arial",sans-serif;
	mso-fareast-font-family:Arial;
	mso-ansi-language:EN-US;}
p.MsoListParagraphCxSpMiddle, li.MsoListParagraphCxSpMiddle, div.MsoListParagraphCxSpMiddle
	{mso-style-priority:34;
	mso-style-unhide:no;
	mso-style-qformat:yes;
	mso-style-type:export-only;
	margin-top:0cm;
	margin-right:0cm;
	margin-bottom:0cm;
	margin-left:36.0pt;
	mso-add-space:auto;
	line-height:115%;
	mso-pagination:widow-orphan;
	font-size:11.0pt;
	font-family:"Arial",sans-serif;
	mso-fareast-font-family:Arial;
	mso-ansi-language:EN-US;}
p.MsoListParagraphCxSpLast, li.MsoListParagraphCxSpLast, div.MsoListParagraphCxSpLast
	{mso-style-priority:34;
	mso-style-unhide:no;
	mso-style-qformat:yes;
	mso-style-type:export-only;
	margin-top:0cm;
	margin-right:0cm;
	margin-bottom:0cm;
	margin-left:36.0pt;
	mso-add-space:auto;
	line-height:115%;
	mso-pagination:widow-orphan;
	font-size:11.0pt;
	font-family:"Arial",sans-serif;
	mso-fareast-font-family:Arial;
	mso-ansi-language:EN-US;}
p.MsoQuote, li.MsoQuote, div.MsoQuote
	{mso-style-priority:29;
	mso-style-unhide:no;
	mso-style-qformat:yes;
	mso-style-link:"Quote Char";
	mso-style-next:Normal;
	margin-top:8.0pt;
	margin-right:0cm;
	margin-bottom:0cm;
	margin-left:0cm;
	text-align:center;
	line-height:115%;
	mso-pagination:widow-orphan;
	font-size:11.0pt;
	font-family:"Arial",sans-serif;
	mso-fareast-font-family:Arial;
	color:#404040;
	mso-themecolor:text1;
	mso-themetint:191;
	mso-ansi-language:EN-US;
	font-style:italic;}
p.MsoIntenseQuote, li.MsoIntenseQuote, div.MsoIntenseQuote
	{mso-style-priority:30;
	mso-style-unhide:no;
	mso-style-qformat:yes;
	mso-style-link:"Intense Quote Char";
	mso-style-next:Normal;
	margin-top:18.0pt;
	margin-right:43.2pt;
	margin-bottom:18.0pt;
	margin-left:43.2pt;
	text-align:center;
	line-height:115%;
	mso-pagination:widow-orphan;
	border:none;
	mso-border-top-alt:solid #0F4761 .5pt;
	mso-border-top-themecolor:accent1;
	mso-border-top-themeshade:191;
	mso-border-bottom-alt:solid #0F4761 .5pt;
	mso-border-bottom-themecolor:accent1;
	mso-border-bottom-themeshade:191;
	padding:0cm;
	mso-padding-alt:10.0pt 0cm 10.0pt 0cm;
	font-size:11.0pt;
	font-family:"Arial",sans-serif;
	mso-fareast-font-family:Arial;
	color:#0F4761;
	mso-themecolor:accent1;
	mso-themeshade:191;
	mso-ansi-language:EN-US;
	font-style:italic;}
span.MsoIntenseEmphasis
	{mso-style-priority:21;
	mso-style-unhide:no;
	mso-style-qformat:yes;
	color:#0F4761;
	mso-themecolor:accent1;
	mso-themeshade:191;
	font-style:italic;}
span.MsoIntenseReference
	{mso-style-priority:32;
	mso-style-unhide:no;
	mso-style-qformat:yes;
	font-variant:small-caps;
	color:#0F4761;
	mso-themecolor:accent1;
	mso-themeshade:191;
	letter-spacing:.25pt;
	font-weight:bold;}
span.Heading1Char
	{mso-style-name:"Heading 1 Char";
	mso-style-priority:9;
	mso-style-unhide:no;
	mso-style-locked:yes;
	mso-style-link:"Heading 1";
	mso-ansi-font-size:20.0pt;
	mso-bidi-font-size:20.0pt;
	font-family:"Aptos Display",sans-serif;
	mso-ascii-font-family:"Aptos Display";
	mso-ascii-theme-font:major-latin;
	mso-fareast-font-family:"Times New Roman";
	mso-fareast-theme-font:major-fareast;
	mso-hansi-font-family:"Aptos Display";
	mso-hansi-theme-font:major-latin;
	mso-bidi-font-family:"Times New Roman";
	mso-bidi-theme-font:major-bidi;
	color:#0F4761;
	mso-themecolor:accent1;
	mso-themeshade:191;}
span.Heading2Char
	{mso-style-name:"Heading 2 Char";
	mso-style-priority:9;
	mso-style-unhide:no;
	mso-style-locked:yes;
	mso-style-link:"Heading 2";
	mso-ansi-font-size:16.0pt;
	mso-bidi-font-size:16.0pt;
	font-family:"Aptos Display",sans-serif;
	mso-ascii-font-family:"Aptos Display";
	mso-ascii-theme-font:major-latin;
	mso-fareast-font-family:"Times New Roman";
	mso-fareast-theme-font:major-fareast;
	mso-hansi-font-family:"Aptos Display";
	mso-hansi-theme-font:major-latin;
	mso-bidi-font-family:"Times New Roman";
	mso-bidi-theme-font:major-bidi;
	color:#0F4761;
	mso-themecolor:accent1;
	mso-themeshade:191;}
span.Heading3Char
	{mso-style-name:"Heading 3 Char";
	mso-style-noshow:yes;
	mso-style-priority:9;
	mso-style-unhide:no;
	mso-style-locked:yes;
	mso-style-link:"Heading 3";
	mso-ansi-font-size:14.0pt;
	mso-bidi-font-size:14.0pt;
	font-family:"Times New Roman",serif;
	mso-fareast-font-family:"Times New Roman";
	mso-fareast-theme-font:major-fareast;
	mso-bidi-font-family:"Times New Roman";
	mso-bidi-theme-font:major-bidi;
	color:#0F4761;
	mso-themecolor:accent1;
	mso-themeshade:191;}
span.Heading4Char
	{mso-style-name:"Heading 4 Char";
	mso-style-noshow:yes;
	mso-style-priority:9;
	mso-style-unhide:no;
	mso-style-locked:yes;
	mso-style-link:"Heading 4";
	font-family:"Times New Roman",serif;
	mso-fareast-font-family:"Times New Roman";
	mso-fareast-theme-font:major-fareast;
	mso-bidi-font-family:"Times New Roman";
	mso-bidi-theme-font:major-bidi;
	color:#0F4761;
	mso-themecolor:accent1;
	mso-themeshade:191;
	font-style:italic;}
span.Heading5Char
	{mso-style-name:"Heading 5 Char";
	mso-style-noshow:yes;
	mso-style-priority:9;
	mso-style-unhide:no;
	mso-style-locked:yes;
	mso-style-link:"Heading 5";
	font-family:"Times New Roman",serif;
	mso-fareast-font-family:"Times New Roman";
	mso-fareast-theme-font:major-fareast;
	mso-bidi-font-family:"Times New Roman";
	mso-bidi-theme-font:major-bidi;
	color:#0F4761;
	mso-themecolor:accent1;
	mso-themeshade:191;}
span.Heading6Char
	{mso-style-name:"Heading 6 Char";
	mso-style-noshow:yes;
	mso-style-priority:9;
	mso-style-unhide:no;
	mso-style-locked:yes;
	mso-style-link:"Heading 6";
	font-family:"Times New Roman",serif;
	mso-fareast-font-family:"Times New Roman";
	mso-fareast-theme-font:major-fareast;
	mso-bidi-font-family:"Times New Roman";
	mso-bidi-theme-font:major-bidi;
	color:#595959;
	mso-themecolor:text1;
	mso-themetint:166;
	font-style:italic;}
span.Heading7Char
	{mso-style-name:"Heading 7 Char";
	mso-style-noshow:yes;
	mso-style-priority:9;
	mso-style-unhide:no;
	mso-style-locked:yes;
	mso-style-link:"Heading 7";
	font-family:"Times New Roman",serif;
	mso-fareast-font-family:"Times New Roman";
	mso-fareast-theme-font:major-fareast;
	mso-bidi-font-family:"Times New Roman";
	mso-bidi-theme-font:major-bidi;
	color:#595959;
	mso-themecolor:text1;
	mso-themetint:166;}
span.Heading8Char
	{mso-style-name:"Heading 8 Char";
	mso-style-noshow:yes;
	mso-style-priority:9;
	mso-style-unhide:no;
	mso-style-locked:yes;
	mso-style-link:"Heading 8";
	font-family:"Times New Roman",serif;
	mso-fareast-font-family:"Times New Roman";
	mso-fareast-theme-font:major-fareast;
	mso-bidi-font-family:"Times New Roman";
	mso-bidi-theme-font:major-bidi;
	color:#272727;
	mso-themecolor:text1;
	mso-themetint:216;
	font-style:italic;}
span.Heading9Char
	{mso-style-name:"Heading 9 Char";
	mso-style-noshow:yes;
	mso-style-priority:9;
	mso-style-unhide:no;
	mso-style-locked:yes;
	mso-style-link:"Heading 9";
	font-family:"Times New Roman",serif;
	mso-fareast-font-family:"Times New Roman";
	mso-fareast-theme-font:major-fareast;
	mso-bidi-font-family:"Times New Roman";
	mso-bidi-theme-font:major-bidi;
	color:#272727;
	mso-themecolor:text1;
	mso-themetint:216;}
span.TitleChar
	{mso-style-name:"Title Char";
	mso-style-priority:10;
	mso-style-unhide:no;
	mso-style-locked:yes;
	mso-style-link:Title;
	mso-ansi-font-size:28.0pt;
	mso-bidi-font-size:28.0pt;
	font-family:"Aptos Display",sans-serif;
	mso-ascii-font-family:"Aptos Display";
	mso-ascii-theme-font:major-latin;
	mso-fareast-font-family:"Times New Roman";
	mso-fareast-theme-font:major-fareast;
	mso-hansi-font-family:"Aptos Display";
	mso-hansi-theme-font:major-latin;
	mso-bidi-font-family:"Times New Roman";
	mso-bidi-theme-font:major-bidi;
	letter-spacing:-.5pt;
	mso-font-kerning:14.0pt;}
span.SubtitleChar
	{mso-style-name:"Subtitle Char";
	mso-style-priority:11;
	mso-style-unhide:no;
	mso-style-locked:yes;
	mso-style-link:Subtitle;
	mso-ansi-font-size:14.0pt;
	mso-bidi-font-size:14.0pt;
	font-family:"Times New Roman",serif;
	mso-fareast-font-family:"Times New Roman";
	mso-fareast-theme-font:major-fareast;
	mso-bidi-font-family:"Times New Roman";
	mso-bidi-theme-font:major-bidi;
	color:#595959;
	mso-themecolor:text1;
	mso-themetint:166;
	letter-spacing:.75pt;}
span.QuoteChar
	{mso-style-name:"Quote Char";
	mso-style-priority:29;
	mso-style-unhide:no;
	mso-style-locked:yes;
	mso-style-link:Quote;
	color:#404040;
	mso-themecolor:text1;
	mso-themetint:191;
	font-style:italic;}
span.IntenseQuoteChar
	{mso-style-name:"Intense Quote Char";
	mso-style-priority:30;
	mso-style-unhide:no;
	mso-style-locked:yes;
	mso-style-link:"Intense Quote";
	color:#0F4761;
	mso-themecolor:accent1;
	mso-themeshade:191;
	font-style:italic;}
span.SpellE
	{mso-style-name:"";
	mso-spl-e:yes;}
span.GramE
	{mso-style-name:"";
	mso-gram-e:yes;}
.MsoChpDefault
	{mso-style-type:export-only;
	mso-default-props:yes;
	mso-ascii-font-family:Aptos;
	mso-ascii-theme-font:minor-latin;
	mso-fareast-font-family:Aptos;
	mso-fareast-theme-font:minor-latin;
	mso-hansi-font-family:Aptos;
	mso-hansi-theme-font:minor-latin;
	mso-bidi-font-family:"Times New Roman";
	mso-bidi-theme-font:minor-bidi;
	mso-fareast-language:EN-US;}
.MsoPapDefault
	{mso-style-type:export-only;
	margin-bottom:8.0pt;
	line-height:115%;}
@page WordSection1
	{size:595.3pt 841.9pt;
	margin:72.0pt 72.0pt 72.0pt 72.0pt;
	mso-header-margin:35.4pt;
	mso-footer-margin:35.4pt;
	mso-paper-source:0;}
div.WordSection1
	{page:WordSection1;}
 /* List Definitions */
 @list l0
	{mso-list-id:648634942;
	mso-list-template-ids:1889308676;}
@list l0:level1
	{mso-level-number-format:bullet;
	mso-level-text:●;
	mso-level-tab-stop:none;
	mso-level-number-position:left;
	text-indent:-18.0pt;
	mso-ascii-font-family:"Noto Sans Symbols";
	mso-fareast-font-family:"Noto Sans Symbols";
	mso-hansi-font-family:"Noto Sans Symbols";
	mso-bidi-font-family:"Noto Sans Symbols";}
@list l0:level2
	{mso-level-number-format:bullet;
	mso-level-text:o;
	mso-level-tab-stop:none;
	mso-level-number-position:left;
	text-indent:-18.0pt;
	mso-ascii-font-family:"Courier New";
	mso-fareast-font-family:"Courier New";
	mso-hansi-font-family:"Courier New";
	mso-bidi-font-family:"Courier New";}
@list l0:level3
	{mso-level-number-format:bullet;
	mso-level-text:▪;
	mso-level-tab-stop:none;
	mso-level-number-position:left;
	text-indent:-18.0pt;
	mso-ascii-font-family:"Noto Sans Symbols";
	mso-fareast-font-family:"Noto Sans Symbols";
	mso-hansi-font-family:"Noto Sans Symbols";
	mso-bidi-font-family:"Noto Sans Symbols";}
@list l0:level4
	{mso-level-number-format:bullet;
	mso-level-text:●;
	mso-level-tab-stop:none;
	mso-level-number-position:left;
	text-indent:-18.0pt;
	mso-ascii-font-family:"Noto Sans Symbols";
	mso-fareast-font-family:"Noto Sans Symbols";
	mso-hansi-font-family:"Noto Sans Symbols";
	mso-bidi-font-family:"Noto Sans Symbols";}
@list l0:level5
	{mso-level-number-format:bullet;
	mso-level-text:o;
	mso-level-tab-stop:none;
	mso-level-number-position:left;
	text-indent:-18.0pt;
	mso-ascii-font-family:"Courier New";
	mso-fareast-font-family:"Courier New";
	mso-hansi-font-family:"Courier New";
	mso-bidi-font-family:"Courier New";}
@list l0:level6
	{mso-level-number-format:bullet;
	mso-level-text:▪;
	mso-level-tab-stop:none;
	mso-level-number-position:left;
	text-indent:-18.0pt;
	mso-ascii-font-family:"Noto Sans Symbols";
	mso-fareast-font-family:"Noto Sans Symbols";
	mso-hansi-font-family:"Noto Sans Symbols";
	mso-bidi-font-family:"Noto Sans Symbols";}
@list l0:level7
	{mso-level-number-format:bullet;
	mso-level-text:●;
	mso-level-tab-stop:none;
	mso-level-number-position:left;
	text-indent:-18.0pt;
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<body lang=en-PL style='tab-interval:36.0pt;word-wrap:break-word'>

<div class=WordSection1>

<h1><span lang=EN-US>Freeman-Durden 3 components decomposition<o:p></o:p></span></h1>

<h2><span lang=EN-US>Description<o:p></o:p></span></h2>

<p class=MsoNormal style='text-align:justify;text-indent:14.2pt'><span
lang=EN-US>There is currently a great deal of interest in the use of
polarimetry for radar remote sensing. In this context, an important objective
is to extract physical information from the observed scattering of microwaves
by surface and volume structures. The most important observable measured by
such radar systems is the 3x3 coherency matrix [<i style='mso-bidi-font-style:
normal'>T3</i>]. This matrix accounts for local variations in the scattering
matrix and is the lowest order operator suitable to extract polarimetric
parameters for distributed scatterers in the presence of additive (system)
and/or multiplicative (speckle) noise.<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify;text-indent:14.2pt'><span
lang=EN-US>Many targets of interest in radar remote sensing require a
multivariate statistical description due to the combination of coherent speckle
noise and random vector scattering effects from surface and volume. For such
targets, it is of interest to generate the concept of an average or dominant
scattering mechanism for the purposes of classification or inversion of
scattering data. This averaging process leads to the concept of the «&nbsp;<i
style='mso-bidi-font-style:normal'>distributed target</i>&nbsp;» which has its
own structure, in opposition to the stationary target or «&nbsp;<i
style='mso-bidi-font-style:normal'>pure single target</i>&nbsp;».<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify;text-indent:14.2pt'><span
lang=EN-US>Target Decomposition theorems are aimed at providing such an
interpretation based on sensible physical constraints such as the average
target being invariant to changes in wave polarization basis.<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify;text-indent:14.2pt'><span
lang=EN-US>Target Decomposition theorems were first formalized by J.R. Huynen
but have their roots in the work of Chandrasekhar on light scattering by small
anisotropic particles. Since this original work, there have been many other
proposed decompositions. We classify four main types of <span class=GramE>theorem</span>:
<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:32.2pt;text-align:justify;text-indent:
-18.0pt;line-height:normal;mso-list:l4 level1 lfo4;border:none;mso-padding-alt:
31.0pt 31.0pt 31.0pt 31.0pt;mso-border-shadow:yes'><![if !supportLists]><span
lang=EN-US style='color:black'><span style='mso-list:Ignore'>1.<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span
lang=EN-US style='color:black'>Those employing coherent decomposition of the
scattering matrix (Krogager, Cameron).<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:32.2pt;text-align:justify;text-indent:
-18.0pt;line-height:normal;mso-list:l4 level1 lfo4;border:none;mso-padding-alt:
31.0pt 31.0pt 31.0pt 31.0pt;mso-border-shadow:yes'><![if !supportLists]><span
lang=EN-US style='color:black'><span style='mso-list:Ignore'>2.<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span
lang=EN-US style='color:black'>Those based on the dichotomy of the Kennaugh
matrix (<span class=SpellE>Huynen</span>, Barnes).<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:32.2pt;text-align:justify;text-indent:
-18.0pt;line-height:normal;mso-list:l4 level1 lfo4;border:none;mso-padding-alt:
31.0pt 31.0pt 31.0pt 31.0pt;mso-border-shadow:yes'><![if !supportLists]><span
lang=EN-US style='color:black'><span style='mso-list:Ignore'>3.<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span
lang=EN-US style='color:black'>Those based on a “model-based” decomposition of
the covariance or the coherency matrix (Freeman and Durden, Dong).<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:32.2pt;text-align:justify;text-indent:
-18.0pt;line-height:normal;mso-list:l4 level1 lfo4;border:none;mso-padding-alt:
31.0pt 31.0pt 31.0pt 31.0pt;mso-border-shadow:yes'><![if !supportLists]><span
lang=EN-US style='color:black'><span style='mso-list:Ignore'>4.<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span
lang=EN-US style='color:black'>Those using an eigenvector / eigenvalues
analysis of the covariance or coherency matrix (Cloude, VanZyl, Cloude and
Pottier).<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify;text-indent:14.2pt'><span
lang=EN-US><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify;text-indent:14.2pt;line-height:
normal;border:none;mso-padding-alt:31.0pt 31.0pt 31.0pt 31.0pt;mso-border-shadow:
yes'><span lang=EN-US style='color:black'>The <b style='mso-bidi-font-weight:
normal'>Freeman-Durden 3 components decomposition</b> is a technique for
fitting a physically based, three-component scattering mechanism model to the
polarimetric SAR observations without utilizing any ground truth measurements.
The mechanisms are canopy scatter from a cloud of randomly oriented dipoles, even-
or double-bounce scatter from a pair of orthogonal surfaces with different
dielectric constants, and Bragg scatter from a moderately rough surface. This
composite scattering model is used to describe the polarimetric backscatter
from naturally occurring scatterers.<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify;text-indent:14.2pt;line-height:
normal;border:none;mso-padding-alt:31.0pt 31.0pt 31.0pt 31.0pt;mso-border-shadow:
yes'><span lang=EN-US style='color:black'>To summarize, this decomposition
models the 3x3 covariance matrix </span><sub><span lang=EN-US style='font-size:
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  <v:f eqn="prod @2 1 2"/>
  <v:f eqn="prod @3 21600 pixelWidth"/>
  <v:f eqn="prod @3 21600 pixelHeight"/>
  <v:f eqn="sum @0 0 1"/>
  <v:f eqn="prod @6 1 2"/>
  <v:f eqn="prod @7 21600 pixelWidth"/>
  <v:f eqn="sum @8 21600 0"/>
  <v:f eqn="prod @7 21600 pixelHeight"/>
  <v:f eqn="sum @10 21600 0"/>
 </v:formulas>
 <v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/>
 <o:lock v:ext="edit" aspectratio="t"/>
</v:shapetype><v:shape id="_x0000_i1055" type="#_x0000_t75" alt="" style='width:28pt;
 height:21pt;mso-width-percent:0;mso-height-percent:0;mso-width-percent:0;
 mso-height-percent:0' o:ole="">
 <v:imagedata src="Freeman_theory.fld/image001.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=28 height=21
src="Freeman_theory.fld/image002.png" v:shapes="_x0000_i1055"><![endif]></span><!--[if gte mso 9]><xml>
 <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1055"
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 </o:OLEObject>
</xml><![endif]--></span></sub><span lang=EN-US style='color:black'><span
style='mso-spacerun:yes'> </span>as the contribution of three scattering
mechanisms<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:50.2pt;text-align:justify;text-indent:
-18.0pt;line-height:normal;mso-list:l2 level1 lfo2;border:none;mso-padding-alt:
31.0pt 31.0pt 31.0pt 31.0pt;mso-border-shadow:yes'><![if !supportLists]><span
lang=EN-US style='font-family:"Noto Sans Symbols";mso-fareast-font-family:"Noto Sans Symbols";
mso-bidi-font-family:"Noto Sans Symbols";color:black'><span style='mso-list:
Ignore'>●<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span lang=EN-US style='color:black'>Volume
scattering where a canopy scatterer is modeled as a set of randomly oriented
dipoles.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:50.2pt;text-align:justify;text-indent:
-18.0pt;line-height:normal;mso-list:l2 level1 lfo2;border:none;mso-padding-alt:
31.0pt 31.0pt 31.0pt 31.0pt;mso-border-shadow:yes'><![if !supportLists]><span
lang=EN-US style='font-family:"Noto Sans Symbols";mso-fareast-font-family:"Noto Sans Symbols";
mso-bidi-font-family:"Noto Sans Symbols";color:black'><span style='mso-list:
Ignore'>●<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span lang=EN-US style='color:black'>Double-bounce
scattering modeled by a dihedral corner reflector.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:50.2pt;text-align:justify;text-indent:
-18.0pt;line-height:normal;mso-list:l2 level1 lfo2;border:none;mso-padding-alt:
31.0pt 31.0pt 31.0pt 31.0pt;mso-border-shadow:yes'><![if !supportLists]><span
lang=EN-US style='font-family:"Noto Sans Symbols";mso-fareast-font-family:"Noto Sans Symbols";
mso-bidi-font-family:"Noto Sans Symbols";color:black'><span style='mso-list:
Ignore'>●<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span lang=EN-US style='color:black'>Surface or
single-bounce scattering modeled by a first-order Bragg surface scatterer.<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify;text-indent:14.2pt;line-height:
normal;border:none;mso-padding-alt:31.0pt 31.0pt 31.0pt 31.0pt;mso-border-shadow:
yes'><span lang=EN-US style='color:black'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify;text-indent:14.2pt;line-height:
normal;border:none;mso-padding-alt:31.0pt 31.0pt 31.0pt 31.0pt;mso-border-shadow:
yes'><span lang=EN-US style='color:black'>The volume scattering from a forest
canopy is modeled as the contribution from an ensemble of randomly oriented
thin dipoles. The scattering matrix of an elementary dipole, expressed in the
orthogonal linear (<span class=SpellE>h,v</span>) basis, when horizontally
oriented, has the expression</span><sub><span lang=EN-US style='font-size:18.0pt;
color:black'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="_x0000_i1054"
 type="#_x0000_t75" alt="" style='width:83pt;height:35pt;mso-width-percent:0;
 mso-height-percent:0;mso-width-percent:0;mso-height-percent:0' o:ole="">
 <v:imagedata src="Freeman_theory.fld/image003.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=83 height=35
src="Freeman_theory.fld/image004.png" v:shapes="_x0000_i1054"><![endif]></span><!--[if gte mso 9]><xml>
 <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1054"
  DrawAspect="Content" ObjectID="_1822135205">
 </o:OLEObject>
</xml><![endif]--></span></sub><span lang=EN-US style='color:black'> that
reduces to </span><sub><span lang=EN-US style='font-size:18.0pt;color:black'><span
style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="_x0000_i1053" type="#_x0000_t75"
 alt="" style='width:69pt;height:35pt;mso-width-percent:0;mso-height-percent:0;
 mso-width-percent:0;mso-height-percent:0' o:ole="">
 <v:imagedata src="Freeman_theory.fld/image005.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=69 height=35
src="Freeman_theory.fld/image006.png" v:shapes="_x0000_i1053"><![endif]></span><!--[if gte mso 9]><xml>
 <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1053"
  DrawAspect="Content" ObjectID="_1822135206">
 </o:OLEObject>
</xml><![endif]--></span></sub><span lang=EN-US style='color:black'><span
style='mso-spacerun:yes'> </span>in the case of thin dipole.<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify;text-indent:14.2pt;line-height:
normal;border:none;mso-padding-alt:31.0pt 31.0pt 31.0pt 31.0pt;mso-border-shadow:
yes'><span lang=EN-US style='color:black'>Considering a set of randomly
oriented dipoles, characterized by the previous scattering matrix and oriented
according to a uniform phase distribution, the covariance matrix </span><sub><span
lang=EN-US style='font-size:18.0pt;color:black'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
 id="_x0000_i1052" type="#_x0000_t75" alt="" style='width:44pt;height:21pt;
 mso-width-percent:0;mso-height-percent:0;mso-width-percent:0;
 mso-height-percent:0' o:ole="">
 <v:imagedata src="Freeman_theory.fld/image007.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=44 height=21
src="Freeman_theory.fld/image008.png" v:shapes="_x0000_i1052"><![endif]></span><!--[if gte mso 9]><xml>
 <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1052"
  DrawAspect="Content" ObjectID="_1822135207">
 </o:OLEObject>
</xml><![endif]--></span></sub><span lang=EN-US style='color:black'><span
style='mso-spacerun:yes'> </span>of the ensemble of thin dipoles can be modeled
by </span><sub><span lang=EN-US style='font-size:18.0pt;color:black'><span
style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="_x0000_i1051" type="#_x0000_t75"
 alt="" style='width:123pt;height:58pt;mso-width-percent:0;
 mso-height-percent:0;mso-width-percent:0;mso-height-percent:0' o:ole="">
 <v:imagedata src="Freeman_theory.fld/image009.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=123 height=58
src="Freeman_theory.fld/image010.png" v:shapes="_x0000_i1051"><![endif]></span><!--[if gte mso 9]><xml>
 <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1051"
  DrawAspect="Content" ObjectID="_1822135208">
 </o:OLEObject>
</xml><![endif]--></span></sub><span lang=EN-US style='color:black'><span
style='mso-spacerun:yes'> </span>where <span class=SpellE><b style='mso-bidi-font-weight:
normal'><i style='mso-bidi-font-style:normal'>f<sub>v</sub></i></b></span>
corresponds to the contribution of the volume scattering component. <o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify;text-indent:14.2pt;line-height:
normal;border:none;mso-padding-alt:31.0pt 31.0pt 31.0pt 31.0pt;mso-border-shadow:
yes'><span lang=EN-US style='color:black'>The covariance matrix </span><sub><span
lang=EN-US style='font-size:18.0pt;color:black'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
 id="_x0000_i1050" type="#_x0000_t75" alt="" style='width:44pt;height:21pt;
 mso-width-percent:0;mso-height-percent:0;mso-width-percent:0;
 mso-height-percent:0' o:ole="">
 <v:imagedata src="Freeman_theory.fld/image007.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=44 height=21
src="Freeman_theory.fld/image008.png" v:shapes="_x0000_i1050"><![endif]></span><!--[if gte mso 9]><xml>
 <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1050"
  DrawAspect="Content" ObjectID="_1822135209">
 </o:OLEObject>
</xml><![endif]--></span></sub><span lang=EN-US style='color:black'><span
style='mso-spacerun:yes'> </span>presents rank 3, thus, the volume scattering
cannot be characterized by a single scattering matrix of a pure target.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-top:6.0pt;margin-right:0cm;margin-bottom:6.0pt;
margin-left:0cm;text-align:justify;text-indent:14.2pt'><span lang=EN-US>The
second component of the <b style='mso-bidi-font-weight:normal'>Freeman-Durden 3
components decomposition</b> corresponds to the double-bounce scattering. In
this case, a generalized corner reflector is employed to model the scattering
process. The <span class=SpellE>diplane</span> itself is not considered
metallic. Hence, we consider that the vertical surface has reflection
coefficients <span class=SpellE><b style='mso-bidi-font-weight:normal'><i
style='mso-bidi-font-style:normal'>R<sub>th</sub></i></b></span> and <span
class=SpellE><b style='mso-bidi-font-weight:normal'><i style='mso-bidi-font-style:
normal'>R<sub>tv</sub></i></b></span> for the horizontal and the vertical
polarizations, whereas the horizontal one presents the coefficients <span
class=SpellE><b style='mso-bidi-font-weight:normal'><i style='mso-bidi-font-style:
normal'>R<sub>gh</sub></i></b></span> and <span class=SpellE><b
style='mso-bidi-font-weight:normal'><i style='mso-bidi-font-style:normal'>R<sub>gv</sub></i></b></span>
for the same polarizations. Additionally, two phase components for the
horizontal and the vertical polarizations are considered, i.e., </span><sub><span
lang=EN-US style='font-size:18.0pt;line-height:115%'><span style='mso-no-proof:
yes'><!--[if gte vml 1]><v:shape id="_x0000_i1049" type="#_x0000_t75" alt=""
 style='width:22pt;height:15pt;mso-width-percent:0;mso-height-percent:0;
 mso-width-percent:0;mso-height-percent:0' o:ole="">
 <v:imagedata src="Freeman_theory.fld/image011.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=22 height=15
src="Freeman_theory.fld/image012.png" v:shapes="_x0000_i1049"><![endif]></span><!--[if gte mso 9]><xml>
 <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1049"
  DrawAspect="Content" ObjectID="_1822135210">
 </o:OLEObject>
</xml><![endif]--></span></sub><span lang=EN-US><span
style='mso-spacerun:yes'> </span>and </span><sub><span lang=EN-US
style='font-size:18.0pt;line-height:115%'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
 id="_x0000_i1048" type="#_x0000_t75" alt="" style='width:22pt;height:15pt;
 mso-width-percent:0;mso-height-percent:0;mso-width-percent:0;
 mso-height-percent:0' o:ole="">
 <v:imagedata src="Freeman_theory.fld/image013.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=22 height=15
src="Freeman_theory.fld/image014.png" v:shapes="_x0000_i1048"><![endif]></span><!--[if gte mso 9]><xml>
 <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1048"
  DrawAspect="Content" ObjectID="_1822135211">
 </o:OLEObject>
</xml><![endif]--></span></sub><span lang=EN-US>, respectively. The complex
phase terms </span><sub><span lang=EN-US style='font-size:18.0pt;line-height:
115%'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="_x0000_i1047"
 type="#_x0000_t75" alt="" style='width:14pt;height:21pt;mso-width-percent:0;
 mso-height-percent:0;mso-width-percent:0;mso-height-percent:0' o:ole="">
 <v:imagedata src="Freeman_theory.fld/image015.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=14 height=21
src="Freeman_theory.fld/image016.png" v:shapes="_x0000_i1047"><![endif]></span><!--[if gte mso 9]><xml>
 <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1047"
  DrawAspect="Content" ObjectID="_1822135212">
 </o:OLEObject>
</xml><![endif]--></span></sub><span lang=EN-US><span
style='mso-spacerun:yes'> </span>and </span><sub><span lang=EN-US
style='font-size:18.0pt;line-height:115%'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
 id="_x0000_i1046" type="#_x0000_t75" alt="" style='width:14pt;height:21pt;
 mso-width-percent:0;mso-height-percent:0;mso-width-percent:0;
 mso-height-percent:0' o:ole="">
 <v:imagedata src="Freeman_theory.fld/image017.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=14 height=21
src="Freeman_theory.fld/image018.png" v:shapes="_x0000_i1046"><![endif]></span><!--[if gte mso 9]><xml>
 <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1046"
  DrawAspect="Content" ObjectID="_1822135213">
 </o:OLEObject>
</xml><![endif]--></span></sub><span lang=EN-US><span
style='mso-spacerun:yes'> </span>account for any attenuation or phase change
effect. Hence, the scattering matrix of the generalized dihedral is </span><sub><span
lang=EN-US style='font-size:18.0pt;line-height:115%'><span style='mso-no-proof:
yes'><!--[if gte vml 1]><v:shape id="_x0000_i1045" type="#_x0000_t75" alt=""
 style='width:159pt;height:47pt;mso-width-percent:0;mso-height-percent:0;
 mso-width-percent:0;mso-height-percent:0' o:ole="">
 <v:imagedata src="Freeman_theory.fld/image019.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=159 height=47
src="Freeman_theory.fld/image020.png" v:shapes="_x0000_i1045"><![endif]></span><!--[if gte mso 9]><xml>
 <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1045"
  DrawAspect="Content" ObjectID="_1822135214">
 </o:OLEObject>
</xml><![endif]--></span></sub><span lang=EN-US><span
style='mso-spacerun:yes'> </span>which gives rise to the covariance matrix of
the double-bounce scattering component. After normalization respect to the <span
class=SpellE><b style='mso-bidi-font-weight:normal'><i style='mso-bidi-font-style:
normal'>S<sub>vv</sub></i></b></span> component, this covariance matrix can be
written following </span><sub><span lang=EN-US style='font-size:18.0pt;
line-height:115%'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
 id="_x0000_i1044" type="#_x0000_t75" alt="" style='width:119pt;height:65pt;
 mso-width-percent:0;mso-height-percent:0;mso-width-percent:0;
 mso-height-percent:0' o:ole="">
 <v:imagedata src="Freeman_theory.fld/image021.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=119 height=65
src="Freeman_theory.fld/image022.png" v:shapes="_x0000_i1044"><![endif]></span><!--[if gte mso 9]><xml>
 <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1044"
  DrawAspect="Content" ObjectID="_1822135215">
 </o:OLEObject>
</xml><![endif]--></span></sub><span lang=EN-US><span
style='mso-spacerun:yes'> </span>where </span><sub><span lang=EN-US
style='font-size:18.0pt;line-height:115%'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
 id="_x0000_i1043" type="#_x0000_t75" alt="" style='width:97pt;height:37pt;
 mso-width-percent:0;mso-height-percent:0;mso-width-percent:0;
 mso-height-percent:0' o:ole="">
 <v:imagedata src="Freeman_theory.fld/image023.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=97 height=37
src="Freeman_theory.fld/image024.png" v:shapes="_x0000_i1043"><![endif]></span><!--[if gte mso 9]><xml>
 <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1043"
  DrawAspect="Content" ObjectID="_1822135216">
 </o:OLEObject>
</xml><![endif]--></span></sub><span lang=EN-US><span
style='mso-spacerun:yes'> </span>and where </span><sub><span lang=EN-US
style='font-size:18.0pt;line-height:115%'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
 id="_x0000_i1042" type="#_x0000_t75" alt="" style='width:71pt;height:22pt;
 mso-width-percent:0;mso-height-percent:0;mso-width-percent:0;
 mso-height-percent:0' o:ole="">
 <v:imagedata src="Freeman_theory.fld/image025.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=71 height=22
src="Freeman_theory.fld/image026.png" v:shapes="_x0000_i1042"><![endif]></span><!--[if gte mso 9]><xml>
 <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1042"
  DrawAspect="Content" ObjectID="_1822135217">
 </o:OLEObject>
</xml><![endif]--></span></sub><span lang=EN-US>corresponds to the contribution
of the double-bounce scattering to the <b style='mso-bidi-font-weight:normal'>|<i
style='mso-bidi-font-style:normal'>S<sub>vv</sub></i>|<sup>2</sup></b>
component. <o:p></o:p></span></p>

<p class=MsoNormal style='margin-top:6.0pt;margin-right:0cm;margin-bottom:6.0pt;
margin-left:0cm;text-align:justify;text-indent:14.2pt'><span lang=EN-US>The
third component of the <b style='mso-bidi-font-weight:normal'>Freeman-Durden 3
components decomposition</b> consists of a first-order Brag surface scatterer
modeling surface scattering. The scattering mechanism is represented by the
scattering matrix </span><sub><span lang=EN-US style='font-size:18.0pt;
line-height:115%'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
 id="_x0000_i1041" type="#_x0000_t75" alt="" style='width:83pt;height:35pt;
 mso-width-percent:0;mso-height-percent:0;mso-width-percent:0;
 mso-height-percent:0' o:ole="">
 <v:imagedata src="Freeman_theory.fld/image003.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=83 height=35
src="Freeman_theory.fld/image004.png" v:shapes="_x0000_i1041"><![endif]></span><!--[if gte mso 9]><xml>
 <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1041"
  DrawAspect="Content" ObjectID="_1822135218">
 </o:OLEObject>
</xml><![endif]--></span></sub><span lang=EN-US>. Consequently, the covariance
matrix corresponding to this scattering component is </span><sub><span
lang=EN-US style='font-size:18.0pt;line-height:115%'><span style='mso-no-proof:
yes'><!--[if gte vml 1]><v:shape id="_x0000_i1040" type="#_x0000_t75" alt=""
 style='width:123pt;height:65pt;mso-width-percent:0;mso-height-percent:0;
 mso-width-percent:0;mso-height-percent:0' o:ole="">
 <v:imagedata src="Freeman_theory.fld/image027.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=123 height=65
src="Freeman_theory.fld/image028.png" v:shapes="_x0000_i1040"><![endif]></span><!--[if gte mso 9]><xml>
 <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1040"
  DrawAspect="Content" ObjectID="_1822135219">
 </o:OLEObject>
</xml><![endif]--></span></sub><span lang=EN-US><span
style='mso-spacerun:yes'> </span>where </span><sub><span lang=EN-US
style='font-size:18.0pt;line-height:115%'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
 id="_x0000_i1039" type="#_x0000_t75" alt="" style='width:47pt;height:22pt;
 mso-width-percent:0;mso-height-percent:0;mso-width-percent:0;
 mso-height-percent:0' o:ole="">
 <v:imagedata src="Freeman_theory.fld/image029.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=47 height=22
src="Freeman_theory.fld/image030.png" v:shapes="_x0000_i1039"><![endif]></span><!--[if gte mso 9]><xml>
 <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1039"
  DrawAspect="Content" ObjectID="_1822135220">
 </o:OLEObject>
</xml><![endif]--></span></sub><span lang=EN-US>corresponds to the contribution
of the double-bounce scattering to the <b style='mso-bidi-font-weight:normal'>|<i
style='mso-bidi-font-style:normal'>S<sub>vv</sub></i>|<sup>2</sup></b>
component and where </span><sub><span lang=EN-US style='font-size:18.0pt;
line-height:115%'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
 id="_x0000_i1038" type="#_x0000_t75" alt="" style='width:37pt;height:37pt;
 mso-width-percent:0;mso-height-percent:0;mso-width-percent:0;
 mso-height-percent:0' o:ole="">
 <v:imagedata src="Freeman_theory.fld/image031.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=37 height=37
src="Freeman_theory.fld/image032.png" v:shapes="_x0000_i1038"><![endif]></span><!--[if gte mso 9]><xml>
 <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1038"
  DrawAspect="Content" ObjectID="_1822135221">
 </o:OLEObject>
</xml><![endif]--></span></sub><span lang=EN-US>.<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify;text-indent:14.2pt;line-height:
normal;border:none;mso-padding-alt:31.0pt 31.0pt 31.0pt 31.0pt;mso-border-shadow:
yes'><span lang=EN-US style='color:black'>Assuming that the volume,
double-bounce, and surface scatter components are uncorrelated, the total
second-order statistics are the sum of the above statistics for the individual
mechanisms. Thus, the model for the total backscatter is: <o:p></o:p></span></p>

<p class=MsoNormal align=center style='text-align:center;line-height:normal;
border:none;mso-padding-alt:31.0pt 31.0pt 31.0pt 31.0pt;mso-border-shadow:yes'><sub><span
lang=EN-US style='font-size:18.0pt;color:black'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
 id="_x0000_i1037" type="#_x0000_t75" alt="" style='width:414pt;height:106pt;
 mso-width-percent:0;mso-height-percent:0;mso-width-percent:0;
 mso-height-percent:0' o:ole="">
 <v:imagedata src="Freeman_theory.fld/image033.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=414 height=106
src="Freeman_theory.fld/image034.png" v:shapes="_x0000_i1037"><![endif]></span><!--[if gte mso 9]><xml>
 <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1037"
  DrawAspect="Content" ObjectID="_1822135222">
 </o:OLEObject>
</xml><![endif]--></span></sub><span lang=EN-US style='color:black'><o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify;text-indent:14.2pt;line-height:
normal;border:none;mso-padding-alt:31.0pt 31.0pt 31.0pt 31.0pt;mso-border-shadow:
yes'><span lang=EN-US style='color:black'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify;text-indent:14.2pt'><span
lang=EN-US>This model gives four equations in five unknowns. However, the
volume contribution </span><sub><span lang=EN-US style='font-size:18.0pt;
line-height:115%'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
 id="_x0000_i1036" type="#_x0000_t75" alt="" style='width:82pt;height:31pt;
 mso-width-percent:0;mso-height-percent:0;mso-width-percent:0;
 mso-height-percent:0' o:ole="">
 <v:imagedata src="Freeman_theory.fld/image035.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=82 height=31
src="Freeman_theory.fld/image036.png" v:shapes="_x0000_i1036"><![endif]></span><!--[if gte mso 9]><xml>
 <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1036"
  DrawAspect="Content" ObjectID="_1822135223">
 </o:OLEObject>
</xml><![endif]--></span></sub><span lang=EN-US><span
style='mso-spacerun:yes'> </span>can then be subtracted off the <b
style='mso-bidi-font-weight:normal'>|<i style='mso-bidi-font-style:normal'>S<sub>HH</sub></i>|<sup>2</sup></b>,
<b style='mso-bidi-font-weight:normal'>|<i style='mso-bidi-font-style:normal'>S<sub>VV</sub></i>|<sup>2</sup></b>
and <b style='mso-bidi-font-weight:normal'><i style='mso-bidi-font-style:normal'>S<sub>HH</sub>S<sub>VV</sub></i><sup>*</sup></b>
terms, leaving three equations in four unknowns: </span><sub><span lang=EN-US
style='font-size:18.0pt;line-height:115%'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
 id="_x0000_i1035" type="#_x0000_t75" alt="" style='width:139pt;height:1in;
 mso-width-percent:0;mso-height-percent:0;mso-width-percent:0;
 mso-height-percent:0' o:ole="">
 <v:imagedata src="Freeman_theory.fld/image037.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=139 height=72
src="Freeman_theory.fld/image038.png" v:shapes="_x0000_i1035"><![endif]></span><!--[if gte mso 9]><xml>
 <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1035"
  DrawAspect="Content" ObjectID="_1822135224">
 </o:OLEObject>
</xml><![endif]--></span></sub><span lang=EN-US><o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify;text-indent:14.2pt'><span
lang=EN-US>In general, a solution can be found if one of the unknowns is fixed.
According to van Zyl, based on the sign of the real part of </span><sub><span
lang=EN-US style='font-size:18.0pt;line-height:115%'><span style='mso-no-proof:
yes'><!--[if gte vml 1]><v:shape id="_x0000_i1034" type="#_x0000_t75" alt=""
 style='width:55pt;height:21pt;mso-width-percent:0;mso-height-percent:0;
 mso-width-percent:0;mso-height-percent:0' o:ole="">
 <v:imagedata src="Freeman_theory.fld/image039.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=55 height=21
src="Freeman_theory.fld/image040.png" v:shapes="_x0000_i1034"><![endif]></span><!--[if gte mso 9]><xml>
 <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1034"
  DrawAspect="Content" ObjectID="_1822135225">
 </o:OLEObject>
</xml><![endif]--></span></sub><span lang=EN-US>, double-bounce or surface
scatter is considered as the dominant contribution in the residual. <o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:50.2pt;text-align:justify;text-indent:
-18.0pt;line-height:normal;mso-list:l1 level1 lfo3;border:none;mso-padding-alt:
31.0pt 31.0pt 31.0pt 31.0pt;mso-border-shadow:yes'><![if !supportLists]><span
lang=EN-US style='font-family:"Noto Sans Symbols";mso-fareast-font-family:"Noto Sans Symbols";
mso-bidi-font-family:"Noto Sans Symbols";color:black'><span style='mso-list:
Ignore'>●<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span lang=EN-US style='color:black'>If </span><sub><span
lang=EN-US style='font-size:18.0pt;color:black'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
 id="_x0000_i1033" type="#_x0000_t75" alt="" style='width:97pt;height:23pt;
 mso-width-percent:0;mso-height-percent:0;mso-width-percent:0;
 mso-height-percent:0' o:ole="">
 <v:imagedata src="Freeman_theory.fld/image041.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=97 height=23
src="Freeman_theory.fld/image042.png" v:shapes="_x0000_i1033"><![endif]></span><!--[if gte mso 9]><xml>
 <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1033"
  DrawAspect="Content" ObjectID="_1822135226">
 </o:OLEObject>
</xml><![endif]--></span></sub><span lang=EN-US style='color:black'>, the
surface scatter is considered as dominant and the parameter </span><b
style='mso-bidi-font-weight:normal'><i style='mso-bidi-font-style:normal'><span
lang=EN-US style='font-family:"Noto Sans Symbols";mso-fareast-font-family:"Noto Sans Symbols";
mso-bidi-font-family:"Noto Sans Symbols";color:black'>α</span></i></b><span
lang=EN-US style='color:black'> is fixed with: </span><b style='mso-bidi-font-weight:
normal'><i style='mso-bidi-font-style:normal'><span lang=EN-US
style='font-family:"Noto Sans Symbols";mso-fareast-font-family:"Noto Sans Symbols";
mso-bidi-font-family:"Noto Sans Symbols";color:black'>α </span><span
lang=EN-US style='color:black'>= -1</span></i></b><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='color:black'>. <o:p></o:p></span></i></p>

<p class=MsoNormal style='margin-left:50.2pt;text-align:justify;text-indent:
-18.0pt;line-height:normal;mso-list:l1 level1 lfo3;border:none;mso-padding-alt:
31.0pt 31.0pt 31.0pt 31.0pt;mso-border-shadow:yes'><![if !supportLists]><span
lang=EN-US style='font-family:"Noto Sans Symbols";mso-fareast-font-family:"Noto Sans Symbols";
mso-bidi-font-family:"Noto Sans Symbols";color:black'><span style='mso-list:
Ignore'>●<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span lang=EN-US style='color:black'>If </span><sub><span
lang=EN-US style='font-size:18.0pt;color:black'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
 id="_x0000_i1032" type="#_x0000_t75" alt="" style='width:97pt;height:23pt;
 mso-width-percent:0;mso-height-percent:0;mso-width-percent:0;
 mso-height-percent:0' o:ole="">
 <v:imagedata src="Freeman_theory.fld/image043.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=97 height=23
src="Freeman_theory.fld/image044.png" v:shapes="_x0000_i1032"><![endif]></span><!--[if gte mso 9]><xml>
 <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1032"
  DrawAspect="Content" ObjectID="_1822135227">
 </o:OLEObject>
</xml><![endif]--></span></sub><span lang=EN-US style='color:black'>, the
double bounce scatter is considered as dominant and the parameter </span><b
style='mso-bidi-font-weight:normal'><i style='mso-bidi-font-style:normal'><span
lang=EN-US style='font-family:"Noto Sans Symbols";mso-fareast-font-family:"Noto Sans Symbols";
mso-bidi-font-family:"Noto Sans Symbols";color:black'>β</span></i></b><span
lang=EN-US style='color:black'> is fixed with: </span><b style='mso-bidi-font-weight:
normal'><i style='mso-bidi-font-style:normal'><span lang=EN-US
style='font-family:"Noto Sans Symbols";mso-fareast-font-family:"Noto Sans Symbols";
mso-bidi-font-family:"Noto Sans Symbols";color:black'>β </span><span
lang=EN-US style='color:black'>= +1</span></i></b><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='color:black'>.</span></i><span lang=EN-US
style='color:black'><o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify;text-indent:14.2pt'><span
lang=EN-US>Then the contribution <span class=SpellE><b style='mso-bidi-font-weight:
normal'><i style='mso-bidi-font-style:normal'>f<sub>S</sub></i></b></span> and <span
class=SpellE><b style='mso-bidi-font-weight:normal'><i style='mso-bidi-font-style:
normal'>f<sub>D</sub></i></b></span><b style='mso-bidi-font-weight:normal'> </b>and
the parameters </span><span class=GramE><b style='mso-bidi-font-weight:normal'><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-family:"Noto Sans Symbols";
mso-fareast-font-family:"Noto Sans Symbols";mso-bidi-font-family:"Noto Sans Symbols"'>α
</span></i></b><span lang=EN-US><span style='mso-spacerun:yes'> </span>or</span></span><span
lang=EN-US> </span><b style='mso-bidi-font-weight:normal'><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-family:"Noto Sans Symbols";mso-fareast-font-family:
"Noto Sans Symbols";mso-bidi-font-family:"Noto Sans Symbols"'>β</span></i></b><span
lang=EN-US> can be estimated from the residual radar measurements. Finally, the
contribution of each scattering mechanism can be estimated to the span,
following </span><sub><span lang=EN-US style='font-size:18.0pt;line-height:
115%'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="_x0000_i1031"
 type="#_x0000_t75" alt="" style='width:229pt;height:22pt;mso-width-percent:0;
 mso-height-percent:0;mso-width-percent:0;mso-height-percent:0' o:ole="">
 <v:imagedata src="Freeman_theory.fld/image045.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=229 height=22
src="Freeman_theory.fld/image046.png" v:shapes="_x0000_i1031"><![endif]></span><!--[if gte mso 9]><xml>
 <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1031"
  DrawAspect="Content" ObjectID="_1822135228">
 </o:OLEObject>
</xml><![endif]--></span></sub><span lang=EN-US><span
style='mso-spacerun:yes'> </span>with: <o:p></o:p></span></p>

<p class=MsoNormal align=center style='text-align:center;text-indent:14.2pt'><sub><span
lang=EN-US style='font-size:18.0pt;line-height:115%'><span style='mso-no-proof:
yes'><!--[if gte vml 1]><v:shape id="_x0000_i1030" type="#_x0000_t75" alt=""
 style='width:87pt;height:73pt;mso-width-percent:0;mso-height-percent:0;
 mso-width-percent:0;mso-height-percent:0' o:ole="">
 <v:imagedata src="Freeman_theory.fld/image047.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=87 height=73
src="Freeman_theory.fld/image048.png" v:shapes="_x0000_i1030"><![endif]></span><!--[if gte mso 9]><xml>
 <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1030"
  DrawAspect="Content" ObjectID="_1822135229">
 </o:OLEObject>
</xml><![endif]--></span></sub><span lang=EN-US><o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span lang=EN-US><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify;text-indent:14.2pt;line-height:
normal;border:none;mso-padding-alt:31.0pt 31.0pt 31.0pt 31.0pt;mso-border-shadow:
yes'><span lang=EN-US style='color:black'>The term <span class=SpellE><b
style='mso-bidi-font-weight:normal'><i style='mso-bidi-font-style:normal'>f<sub>v</sub></i></b></span>
corresponds to the contribution of the volume scattering of the final
covariance matrix </span><sub><span lang=EN-US style='font-size:18.0pt;
color:black'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="_x0000_i1029"
 type="#_x0000_t75" alt="" style='width:28pt;height:21pt;mso-width-percent:0;
 mso-height-percent:0;mso-width-percent:0;mso-height-percent:0' o:ole="">
 <v:imagedata src="Freeman_theory.fld/image001.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=28 height=21
src="Freeman_theory.fld/image002.png" v:shapes="_x0000_i1029"><![endif]></span><!--[if gte mso 9]><xml>
 <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1029"
  DrawAspect="Content" ObjectID="_1822135230">
 </o:OLEObject>
</xml><![endif]--></span></sub><span lang=EN-US style='color:black'>. Hence,
the scattered power by this component can be written as follows </span><sub><span
lang=EN-US style='font-size:18.0pt;color:black'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
 id="_x0000_i1028" type="#_x0000_t75" alt="" style='width:50pt;height:31pt;
 mso-width-percent:0;mso-height-percent:0;mso-width-percent:0;
 mso-height-percent:0' o:ole="">
 <v:imagedata src="Freeman_theory.fld/image049.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=50 height=31
src="Freeman_theory.fld/image050.png" v:shapes="_x0000_i1028"><![endif]></span><!--[if gte mso 9]><xml>
 <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1028"
  DrawAspect="Content" ObjectID="_1822135231">
 </o:OLEObject>
</xml><![endif]--></span></sub><span lang=EN-US style='color:black'><o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify;text-indent:14.2pt;line-height:
normal;border:none;mso-padding-alt:31.0pt 31.0pt 31.0pt 31.0pt;mso-border-shadow:
yes'><span lang=EN-US style='color:black'>It can be concluded that the power
scattered by the double-bounce component of the final covariance matrix </span><sub><span
lang=EN-US style='font-size:18.0pt;color:black'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
 id="_x0000_i1027" type="#_x0000_t75" alt="" style='width:28pt;height:21pt;
 mso-width-percent:0;mso-height-percent:0;mso-width-percent:0;
 mso-height-percent:0' o:ole="">
 <v:imagedata src="Freeman_theory.fld/image001.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=28 height=21
src="Freeman_theory.fld/image002.png" v:shapes="_x0000_i1027"><![endif]></span><!--[if gte mso 9]><xml>
 <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1027"
  DrawAspect="Content" ObjectID="_1822135232">
 </o:OLEObject>
</xml><![endif]--></span></sub><span lang=EN-US style='color:black'><span
style='mso-spacerun:yes'> </span>has the expression </span><sub><span
lang=EN-US style='font-size:18.0pt;color:black'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
 id="_x0000_i1026" type="#_x0000_t75" alt="" style='width:86pt;height:31pt;
 mso-width-percent:0;mso-height-percent:0;mso-width-percent:0;
 mso-height-percent:0' o:ole="">
 <v:imagedata src="Freeman_theory.fld/image051.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=86 height=31
src="Freeman_theory.fld/image052.png" v:shapes="_x0000_i1026"><![endif]></span><!--[if gte mso 9]><xml>
 <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1026"
  DrawAspect="Content" ObjectID="_1822135233">
 </o:OLEObject>
</xml><![endif]--></span></sub><span lang=EN-US style='color:black'><span
style='mso-spacerun:yes'> </span>and the power scattered by the surface-like
component is </span><sub><span lang=EN-US style='font-size:18.0pt;color:black'><span
style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="_x0000_i1025" type="#_x0000_t75"
 alt="" style='width:88pt;height:31pt;mso-width-percent:0;mso-height-percent:0;
 mso-width-percent:0;mso-height-percent:0' o:ole="">
 <v:imagedata src="Freeman_theory.fld/image053.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=88 height=31
src="Freeman_theory.fld/image054.png" v:shapes="_x0000_i1025"><![endif]></span><!--[if gte mso 9]><xml>
 <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1025"
  DrawAspect="Content" ObjectID="_1822135234">
 </o:OLEObject>
</xml><![endif]--></span></sub><span lang=EN-US style='color:black'><o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span lang=EN-US><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify;text-indent:14.2pt;line-height:
normal;border:none;mso-padding-alt:31.0pt 31.0pt 31.0pt 31.0pt;mso-border-shadow:
yes'><span lang=EN-US style='color:black'>The following figure presents the
scheme employed to invert the <b style='mso-bidi-font-weight:normal'>Freeman-Durden
3 components decomposition</b>.<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify;text-indent:14.2pt;line-height:
normal;border:none;mso-padding-alt:31.0pt 31.0pt 31.0pt 31.0pt;mso-border-shadow:
yes'><span lang=EN-US style='color:black'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal align=center style='text-align:center;text-indent:14.2pt;
line-height:normal;border:none;mso-padding-alt:31.0pt 31.0pt 31.0pt 31.0pt;
mso-border-shadow:yes'><i style='mso-bidi-font-style:normal'><span lang=EN-US
style='font-size:12.0pt'><span style='mso-tab-count:1'>       </span><o:p></o:p></span></i></p>

<h2><span lang=EN-US>References<o:p></o:p></span></h2>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><u><span lang=EN-US style='font-variant:small-caps'>Books:<o:p></o:p></span></u></b></p>

<p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent:
-18.0pt;mso-list:l3 level1 lfo1;border:none;mso-padding-alt:31.0pt 31.0pt 31.0pt 31.0pt;
mso-border-shadow:yes'><![if !supportLists]><span lang=EN-US style='font-family:
"Noto Sans Symbols";mso-fareast-font-family:"Noto Sans Symbols";mso-bidi-font-family:
"Noto Sans Symbols";color:black'><span style='mso-list:Ignore'>●<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><b
style='mso-bidi-font-weight:normal'><span lang=EN-US style='color:black'>Jong-Sen
LEE – Eric POTTIER, </span></b><i style='mso-bidi-font-style:normal'><span
lang=EN-US style='color:black'>Polarimetric Radar Imaging: From basics to
applications, </span></i><span lang=EN-US style='color:black'>CRC Press; 1st
ed., February 2009, pp 422, ISBN: 978-1420054972 <o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent:
-18.0pt;mso-list:l3 level1 lfo1;border:none;mso-padding-alt:31.0pt 31.0pt 31.0pt 31.0pt;
mso-border-shadow:yes'><![if !supportLists]><span lang=EN-US style='font-family:
"Noto Sans Symbols";mso-fareast-font-family:"Noto Sans Symbols";mso-bidi-font-family:
"Noto Sans Symbols";color:black'><span style='mso-list:Ignore'>●<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><b
style='mso-bidi-font-weight:normal'><span lang=EN-US style='color:black'>Shane
R. CLOUDE,</span></b><i style='mso-bidi-font-style:normal'><span lang=EN-US
style='color:black'> <span class=SpellE>Polarisation</span>: Applications in
Remote Sensing</span></i><span lang=EN-US style='color:black'>, Oxford
University Press, October 2009, pp 352, ISBN: 978-0199569731<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent:
-18.0pt;mso-list:l3 level1 lfo1;border:none;mso-padding-alt:31.0pt 31.0pt 31.0pt 31.0pt;
mso-border-shadow:yes'><![if !supportLists]><span lang=EN-US style='font-family:
"Noto Sans Symbols";mso-fareast-font-family:"Noto Sans Symbols";mso-bidi-font-family:
"Noto Sans Symbols";color:black'><span style='mso-list:Ignore'>●<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><b
style='mso-bidi-font-weight:normal'><span lang=EN-US style='color:black'>Charles
ELACHI – Jakob J. VAN ZYL,</span></b><i style='mso-bidi-font-style:normal'><span
lang=EN-US style='color:black'> Introduction <span class=GramE>To</span> <span
class=GramE>The</span> Physics and Techniques of Remote Sensing, </span></i><span
lang=EN-US style='color:black'>Wiley-<span class=SpellE>Interscience</span>;
2nd edition (July 31, 2007), ISBN-10 0-471-47569-6, ISBN-13 978-0471475699<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent:
-18.0pt;mso-list:l3 level1 lfo1;border:none;mso-padding-alt:31.0pt 31.0pt 31.0pt 31.0pt;
mso-border-shadow:yes'><![if !supportLists]><span lang=EN-US style='font-family:
"Noto Sans Symbols";mso-fareast-font-family:"Noto Sans Symbols";mso-bidi-font-family:
"Noto Sans Symbols";color:black'><span style='mso-list:Ignore'>●<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><b
style='mso-bidi-font-weight:normal'><span lang=EN-US style='color:black'>Harold
MOTT<i style='mso-bidi-font-style:normal'>, </i></span></b><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='color:black'>Remote Sensing with Polarimetric
Radar, </span></i><span lang=EN-US style='color:black'>Wiley-IEEE Press; 1st
edition (January 2, 2007), ISBN-10 0-470-07476-0, ISBN-13 978-0470074763<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent:
-18.0pt;mso-list:l3 level1 lfo1;border:none;mso-padding-alt:31.0pt 31.0pt 31.0pt 31.0pt;
mso-border-shadow:yes'><![if !supportLists]><span lang=EN-US style='font-family:
"Noto Sans Symbols";mso-fareast-font-family:"Noto Sans Symbols";mso-bidi-font-family:
"Noto Sans Symbols";color:black'><span style='mso-list:Ignore'>●<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><b
style='mso-bidi-font-weight:normal'><span lang=EN-US style='color:black'>Jakob
J. VAN ZYL – <span class=SpellE>Yunjin</span> KIM<i style='mso-bidi-font-style:
normal'>,</i> </span></b><i style='mso-bidi-font-style:normal'><span
lang=EN-US style='color:black'>Synthetic Aperture Radar Polarimetry, </span></i><span
lang=EN-US style='color:black'>Wiley; 1st edition (October 14, 2011), ISBN-10
1-118-11511-2, ISBN-13 978-1118115114<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent:
-18.0pt;mso-list:l3 level1 lfo1;border:none;mso-padding-alt:31.0pt 31.0pt 31.0pt 31.0pt;
mso-border-shadow:yes'><![if !supportLists]><span lang=EN-US style='font-family:
"Noto Sans Symbols";mso-fareast-font-family:"Noto Sans Symbols";mso-bidi-font-family:
"Noto Sans Symbols";color:black'><span style='mso-list:Ignore'>●<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><b
style='mso-bidi-font-weight:normal'><span lang=EN-US style='color:black'>Yoshio
Yamaguchi</span></b><span lang=EN-US style='color:black'>, <i style='mso-bidi-font-style:
normal'>Polarimetric SAR <span class=GramE>Imaging :</span> Theory and
Applications</i>, CRC Press; 1st ed., August 2020, pp 350, ISBN: 978-1003049753<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent:
-18.0pt;mso-list:l3 level1 lfo1;border:none;mso-padding-alt:31.0pt 31.0pt 31.0pt 31.0pt;
mso-border-shadow:yes'><![if !supportLists]><span lang=EN-US style='font-family:
"Noto Sans Symbols";mso-fareast-font-family:"Noto Sans Symbols";mso-bidi-font-family:
"Noto Sans Symbols";color:black'><span style='mso-list:Ignore'>●<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><b
style='mso-bidi-font-weight:normal'><span lang=EN-US style='color:black'>Irena
HAJNSEK – Yves-Louis DESNOS </span></b><span lang=EN-US style='color:black'>(editors)<b
style='mso-bidi-font-weight:normal'>, </b><i style='mso-bidi-font-style:normal'>Polarimetric
Synthetic Aperture <span class=GramE>Radar :</span> Principles and
applications, </i>Springer; 1st edition (Marsh 30, 2021), ISBN
978-3-030-56502-2<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span lang=EN-US><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><u><span lang=EN-US style='font-variant:small-caps'>Journals:<o:p></o:p></span></u></b></p>

<p class=MsoNormal style='text-align:justify'><span lang=EN-US><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent:
-18.0pt;line-height:normal;mso-list:l0 level1 lfo5;border:none;mso-padding-alt:
31.0pt 31.0pt 31.0pt 31.0pt;mso-border-shadow:yes'><![if !supportLists]><span
lang=EN-US style='font-family:"Noto Sans Symbols";mso-fareast-font-family:"Noto Sans Symbols";
mso-bidi-font-family:"Noto Sans Symbols";color:black'><span style='mso-list:
Ignore'>●<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span
lang=EN-US style='color:black'>Freeman A. and Durden S.</span></b><span
lang=EN-US style='color:black'>, “A three-component scattering model to
describe polarimetric SAR data,” in Proc. SPIE Conf. Radar Polarimetry, vol.
SPIE-1748, pp. 213-225, San Diego, CA, July 1992.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent:
-18.0pt;line-height:normal;mso-list:l0 level1 lfo5;border:none;mso-padding-alt:
31.0pt 31.0pt 31.0pt 31.0pt;mso-border-shadow:yes'><![if !supportLists]><span
lang=EN-US style='font-family:"Noto Sans Symbols";mso-fareast-font-family:"Noto Sans Symbols";
mso-bidi-font-family:"Noto Sans Symbols";color:black'><span style='mso-list:
Ignore'>●<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span
lang=EN-US style='color:black'>Freeman A. and Durden S.</span></b><span
lang=EN-US style='color:black'>, “A Three-Component Scattering Model for
Polarimetric SAR Data”, IEEE Trans. <span class=SpellE>Geosci</span>. Remote
Sens., vol. 36, no. 3, May 1998.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent:
-18.0pt;line-height:normal;mso-list:l0 level1 lfo5;border:none;mso-padding-alt:
31.0pt 31.0pt 31.0pt 31.0pt;mso-border-shadow:yes'><![if !supportLists]><span
lang=EN-US style='font-family:"Noto Sans Symbols";mso-fareast-font-family:"Noto Sans Symbols";
mso-bidi-font-family:"Noto Sans Symbols";color:black'><span style='mso-list:
Ignore'>●<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span
lang=EN-US style='color:black'>Krogager E. and Freeman A.</span></b><span
lang=EN-US style='color:black'>, “Three component <span class=GramE>break-downs</span>
of scattering matrices for radar target identification and classification”, in
Proc. PIERS '94, <span class=SpellE>Noordwijk</span>, The Netherlands, July
1994.<o:p></o:p></span></p>

<p class=MsoNormal><span lang=EN-US><o:p>&nbsp;</o:p></span></p>

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