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<?xml version="1.0" encoding="UTF-8"?>
<simulation xmds-version="2">
<testing>
<xsil_file name="fibre_with_correlation_function.xsil" expected="fibre_with_correlation_function_expected.xsil" absolute_tolerance="5e-5" relative_tolerance="1e-3" />
</testing>
<name>fibre_with_correlation_function</name>
<author>Unknown author</author>
<description>
Example fibre noise simulation
</description>
<geometry>
<propagation_dimension> t </propagation_dimension>
<transverse_dimensions>
<dimension name="x" lattice="64" domain="(-5, 5)" aliases="xp" />
</transverse_dimensions>
</geometry>
<features>
<auto_vectorise />
<benchmark />
<bing />
<globals>
<![CDATA[
const real ggamma = 1.0;
const real beta = sqrt(4.0*M_PI*ggamma/10.0);
]]>
</globals>
</features>
<vector name="main" initial_basis="x" type="complex">
<components>phi</components>
<initialisation>
<![CDATA[
phi = 0.0;
]]>
</initialisation>
</vector>
<noise_vector name="noise" kind="wiener" type="complex" method="solirte" seed="293485">
<components>n_1</components>
</noise_vector>
<sequence>
<integrate algorithm="SI" interval="2.5" steps="200000" tolerance="1e-6">
<samples>50 1 1</samples>
<operators>
<operator kind="ex" constant="yes">
<operator_names>L</operator_names>
<![CDATA[
L = -i*kx*kx;
]]>
</operator>
<integration_vectors>main</integration_vectors>
<dependencies>noise</dependencies>
<![CDATA[
dphi_dt = L[phi] - ggamma*phi + beta*n_1;
]]>
</operators>
</integrate>
</sequence>
<output format="binary">
<sampling_group basis="kx" initial_sample="yes">
<moments>pow_dens</moments>
<dependencies>main</dependencies>
<![CDATA[
pow_dens = mod2(phi);
]]>
</sampling_group>
<sampling_group basis="x xp" initial_sample="no">
<moments>g1 g2</moments>
<dependencies>main</dependencies>
<![CDATA[
g1 = abs(conj(phi) * phi(x => xp));
g2 = mod2(phi) * mod2(phi(x => xp));
]]>
</sampling_group>
<sampling_group basis="kx kxp" initial_sample="no">
<moments>g1 g2 g2minus</moments>
<dependencies>main</dependencies>
<![CDATA[
g1 = abs(conj(phi) * phi(kx => kxp));
g2 = mod2(phi) * mod2(phi(kx => kxp));
g2minus = mod2(phi) * mod2(phi(kx => -kxp));
]]>
</sampling_group>
</output>
</simulation>
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