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!hydrogen.f90, calculations of balmer and paschen densities and temperatures
!(C) Roger Wesson
module mod_hydrogen
use mod_types
use mod_globals
implicit none
real(kind=dp), dimension(:,:,:,:), allocatable :: hidata
real(kind=dp), dimension(:), allocatable :: temperatures
integer :: ntemps, ndens, nlevs
contains
subroutine read_hydrogen
!get Case B emissivities from file, values are from Storey and Hummer 1995.
implicit none
character(len=1) :: junk
character(len=20), dimension(8) :: invar
integer :: i,j,k,l !counters
!debugging
#ifdef CO
print *,"subroutine: read_hydrogen"
#endif
open (unit=357, file=trim(PREFIX)//"/share/neat/RHi.dat")
read (357,*) junk !first line is a comment
read (357,"(I3,I3)") ntemps, ndens !second line has number of temperatures and densities
nlevs=25 ! maximum number of levels shown in intrat data file
!allocate the emissivities array, dimensions are temperature, density, level 1, level 2
allocate(hidata(ntemps, ndens, nlevs, nlevs))
allocate(temperatures(ntemps))
hidata(:,:,:,:)=0.d0
!now, loop through the temperatures and densities and read in the emissivities
do i=1,ntemps
do j=1,ndens
read (357,*) invar(1:6) !line at top of each block has density, charge, temperature, case, maximum level calculated and maximum level displayed
if (j.eq.1) then
read(invar(3),"(E9.2)") temperatures(i) ! get the temperatures for later use in interpolating
endif
do k=nlevs,1,-1
do l=1,k-1
read (357,"(E10.3)", advance="no") hidata(i,j,k,l)
enddo
enddo
enddo
enddo
close (357)
end subroutine read_hydrogen
subroutine balmer_densities(linelist,H_Balmer,medtemp,density)
implicit none
integer, dimension(3:40), intent(in) :: H_Balmer
type(line), dimension(:), intent(in) :: linelist
real(kind=dp), dimension(10:25) :: ratios,densities
real(kind=dp), dimension(:,:,:), allocatable :: searcharray
real(kind=dp) :: density, interp_t, weight
real(kind=dp), intent(in) :: medtemp
integer :: i,j !counters
real(kind=dp) :: r1, r2
integer :: H ! temporary, which line to look at
!debugging
#ifdef CO
print *,"subroutine: balmer_densities"
#endif
density=0.d0
weight=0.d0
!H_Balmer indexing is such that entry 3 contains H3, etc
!allocate arrays to store values, high order lines (n>10) only
where (H_balmer(10:25) .gt. 0)
ratios = linelist(H_balmer(10:25))%int_dered/linelist(H_Balmer(4))%int_dered
elsewhere
ratios = 0.d0
endwhere
densities=0.d0
!allocate the search array. emissivities array has dimensions of temperature, density, level 1, level 2
!search array just has dimensions of density, level 1, level 2
allocate(searcharray(size(hidata,2),size(hidata,3),size(hidata,4)))
!now find the temperature
do i=1,ntemps
if (medtemp .lt. temperatures(i)) then
exit
endif
enddo
if (i>ntemps) i=ntemps ! because in do i=1,10, final value of i is 11
!interpolate linearly between temperatures to get line ratios with density at specified temperature
!if temperature is outside data limits, it is just set to the limit
!lower limit is 500K, upper is 30000K
if (medtemp .lt. temperatures(1) .or. medtemp .gt. temperatures(size(temperatures))) then
searcharray(:,:,:)=hidata(i,:,:,:)
else
interp_t=(medtemp-temperatures(i-1))/(temperatures(i)-temperatures(i-1))
searcharray(:,:,:)=hidata(i-1,:,:,:)+interp_t*(hidata(i,:,:,:)-hidata(i,:,:,:))
endif
!now go through H_Balmer from 10 to 25, calculate the density for each line ratio, store it
!intrat data only goes up to n=25
do H=10,25
if (H_Balmer(H) .gt. 0) then !line is present, calculate a density
if (ratios(H) .lt. (searcharray(1,H,2)/searcharray(1,4,2))) then
densities(H) = 2.
elseif (ratios(H) .gt. (searcharray(ndens,H,2)/searcharray(ndens,4,2))) then
densities(H) = 8.
else !search for the value
do j=1,ndens-1
r1=searcharray(j,H,2)/searcharray(j,4,2)
r2=searcharray(j+1,H,2)/searcharray(j+1,4,2)
if (ratios(H) .gt. r1 .and. ratios(H) .lt. r2) then
densities(H)=j+1+(ratios(H)-r1)/(r2-r1)
endif
enddo
endif
endif
enddo
!now we have an array with all the densities implied by the ratios. Derive a flux weighted value
do i=10,25
if (densities(i).gt.2.d0) then
density=density+linelist(H_Balmer(i))%weight*densities(i)
weight=weight+linelist(H_Balmer(i))%weight
endif
enddo
if (weight .gt. 0.d0) then
density=10**(density/weight)
else
density=0.d0
endif
!check if lower limit, Storey and Hummer go down to 100cm-3
if (density .lt. 100. .and. density .ne. 0.d0) then
density = 100.d0
endif
!deallocate search array
deallocate(searcharray)
end subroutine balmer_densities
subroutine paschen_densities(linelist,H_Paschen,medtemp,density)
! computed using ratios of Paschen lines to Hbeta
! will change to P9, checking if it is observed
implicit none
integer, dimension(4:39),intent(in) :: H_Paschen
type(line), dimension(:), intent(in) :: linelist
real(kind=dp), dimension(10:25) :: ratios,densities
real(kind=dp), dimension(:,:,:), allocatable :: searcharray
real(kind=dp) :: density, interp_t, weight
real(kind=dp), intent(in) :: medtemp
integer :: i,j !counters
real(kind=dp) :: r1, r2
integer :: H ! temporary, which line to look at
!debugging
#ifdef CO
print *,"subroutine: paschendensities"
#endif
density=0.d0
weight=0.d0
!H_Paschen indexing is such that entry 4 contains P4, etc
!allocate arrays to store values, high order lines (n>10) only
!todo: this will be wrong if spectrum is not normalised to Hb=100
!should check for this
where (H_paschen(10:25) .gt. 0)
ratios = linelist(H_paschen(10:25))%int_dered/100.d0
elsewhere
ratios = 0.d0
endwhere
densities=0.d0
!allocate the search array. emissivities array has dimensions of temperature, density, level 1, level 2
!search array just has dimensions of density, level 1, level 2
allocate(searcharray(size(hidata,2),size(hidata,3),size(hidata,4)))
!now find the temperature
do i=1,ntemps
if (medtemp .lt. temperatures(i)) then
exit
endif
enddo
if (i>ntemps) i=ntemps ! because in do i=1,10, final value of i is 11
!interpolate linearly between temperatures to get line ratios with density at specified temperature
!if temperature is outside data limits, it is just set to the limit
!lower limit is 500K, upper is 30000K
if (medtemp .lt. temperatures(1) .or. medtemp .gt. temperatures(size(temperatures))) then
searcharray(:,:,:)=hidata(i,:,:,:)
else
interp_t=(medtemp-temperatures(i-1))/(temperatures(i)-temperatures(i-1))
searcharray(:,:,:)=hidata(i-1,:,:,:)+interp_t*(hidata(i,:,:,:)-hidata(i,:,:,:))
endif
!now go through H_Paschen from 10 to 25, calculate the density for each line ratio, store it
!intrat data only goes up to n=25
do H=10,25
if (H_Paschen(H) .gt. 0) then !line is present, calculate a density
if (ratios(H) .lt. (searcharray(1,H,3)/searcharray(1,4,2))) then
densities(H) = 2.
elseif (ratios(H) .gt. (searcharray(ndens,H,3)/searcharray(ndens,4,2))) then
densities(H) = 8.
else !search for the value
do j=1,ndens-1
r1=searcharray(j,H,3)/searcharray(j,4,2)
r2=searcharray(j+1,H,3)/searcharray(j+1,4,2)
if (ratios(H) .gt. r1 .and. ratios(H) .lt. r2) then
densities(H)=j+1+(ratios(H)-r1)/(r2-r1)
endif
enddo
endif
endif
enddo
!now we have an array with all the densities implied by the ratios. Derive a flux weighted value
do i=10,25
if (densities(i).gt.2.d0) then
density=density+linelist(H_Paschen(i))%weight*densities(i)
weight=weight+linelist(H_Paschen(i))%weight
endif
enddo
if (weight .gt. 0.d0) then
density=10**(density/weight)
else
density=0.d0
endif
!check if lower limit, Storey and Hummer go down to 100cm-3
if (density .lt. 100. .and. density .ne. 0.d0) then
density = 100.d0
endif
!deallocate search array
deallocate(searcharray)
end subroutine paschen_densities
end module mod_hydrogen
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