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mod_lightcurves.f90
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mod_lightcurves.f90
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MODULE MOD_LIGHTCURVES
USE FGSL
USE MOD_INPUT
USE MOD_INITIAL
USE MOD_SELF_ABSORPTION
IMPLICIT NONE
PRIVATE
PUBLIC :: EqTfluxFs
PUBLIC :: EqTfluxRs
PUBLIC :: anglength
PUBLIC :: interpoly
PUBLIC :: interpolyne
PUBLIC :: obsfluxfs
PUBLIC :: obsfluxrs
PUBLIC :: frequencyrs
PUBLIC :: frequencyfs
PUBLIC :: eq_slow_gamma_c
CONTAINS
!***********************************************************************
! FUNCTION EqTfluxFs
! This function is used for FS EMISSION
!
! INPUT:
! -
! -
!
! OUTPUT:
!
! REMINDER:
!***********************************************************************
function EqTfluxFs(te)
IMPLICIT NONE
DOUBLE PRECISION :: EqTfluxFs, te, tedyn
DOUBLE PRECISION :: Ga, MA, THA, Ra
DOUBLE PRECISION :: dtheta,a,cosa,teth,dr,beta,dte,ang,ang1,ang2,Awidth,Alength
DOUBLE PRECISION :: partflux, totalflux, dw, totalw, Ntot, Npart
integer*8 :: thstep,j,k
integer*8 :: one, two, five
!***********************************************************************
one = 1
two = 2
five= 5
EqTfluxFs=0.D0
if( deltaA < thetaj ) then
ang1=0.0
else
ang1 = deltaA - thetaj
end if
ang2=thetaj+deltaA
thstep=500
dtheta=(ang2-ang1)/thstep
do j=1, thstep
a=ang1+dtheta*j
cosa=cos(a)
teth=y(1,1)
do k=1, nstep-1
dr=(10**xx(k+1)-10**xx(k))
beta=sqrt(1.0-1.0/y(2,k)/y(2,k))
dte=(1.0-beta*cosa)*(1.D0+redsh)*dr/beta/c
if( (teth+dte)>te ) then
exit
end if
teth=teth+dte
end do
dte=te-teth
dr=c*beta*dte/(1.0-beta*cosa)/(1.D0+redsh)
Ra=10**xx(k)+dr !/* this is the radius at angle a */
Ga=interpoly(Ra, xx, y, two, k)
Ma=interpoly(Ra, xx, y, five, k)
THa=thetaj !/* this is the jet opening angle */
tedyn=interpoly(Ra, xx, y, one, k)
if( a < (deltaA-THa) ) then
cycle
end if
if( (a-dtheta) < (deltaA-THa)) then
Awidth=a+THa-deltaA
ang=a
Alength=anglength(deltaA,ang,THa)
goto 330
end if
if( (a>(THa+deltaA)) .and. ((a-dtheta) >= (THa+deltaA)) )then
return
endif
if( (a>(THa+deltaA)) .and. ((a-dtheta)<(THa+deltaA)))then
Awidth=THa+deltaA-a+dtheta
ang=THa+deltaA
Alength=anglength(deltaA,ang,THa)
goto 330
end if
Awidth=dtheta
ang=a
Alength=anglength(deltaA,ang,THa)
330 dw=Alength*sin(ang)*Awidth
totalw=2.0*PI*(1.0-cos(THa))
Npart=Ma/Mp*dw/totalw
Ntot=Ma/Mp
partflux=obsfluxFs(tedyn, Ga, Ra, Npart, a, Ntot)
EqTfluxFs=EqTfluxFs+partflux
end do
return
end function EqTfluxFs
!***********************************************************************
! FUNCTION EqTfluxRs
! This function is used for RS EMISSION
!
! INPUT:
! -
! -
!
! OUTPUT:
!
! REMINDER:
!***********************************************************************
function EqTfluxRs(te)
IMPLICIT NONE
DOUBLE PRECISION :: EqTfluxRs, te,tedyn
DOUBLE PRECISION :: Ga, MA, THA, Ra, E3a, N3a, Fca
DOUBLE PRECISION :: dtheta,a,cosa,teth,dr,beta,dte,ang,ang1,ang2,Awidth,Alength
DOUBLE PRECISION :: partflux, totalflux, dw, totalw, Ntot, Npart
integer*8 :: thstep,j,k
integer*8 :: six, three, four
!***********************************************************************
six=6
three=3
four=4
EqTfluxRs=0.D0
if( deltaA < thetaj ) then
ang1=0.0
else
ang1 = deltaA - thetaj
end if
ang2=thetaj+deltaA
thstep=500
dtheta=(ang2-ang1)/thstep
do j=1, thstep
a=ang1+dtheta*j
cosa=cos(a)
teth=y(3,1) !-gam4*wid*(1-cosa)*(1.D0+redsh)/c/2.D0/gam4/gam4
do k=1, nstep-1
dr=10**xx(k+1)-10**xx(k)
beta=sqrt(1.0-1.0/y(4,k)/y(4,k))
dte=(1.0-beta*cosa)*(1.D0+redsh)*dr/beta/c
if( (teth+dte)>te ) then
exit
end if
teth=teth+dte
end do
dte=te-teth
dr=c*beta*dte/(1.0-beta*cosa)/(1.D0+redsh)
Ra=10**xx(k)+dr !/* this is the radius at angle a */
Ma = interpoly(Ra, xx, y, six, k)
Ga = interpoly(Ra, xx, y, four, k)
N3a= interpolyne(Ra, xx, n3, k)
E3a= interpolyne(Ra, xx, e3, k)
Fca= interpolyne(Ra, xx, fc_dump, k) !QC
THa=thetaj !/* this is the jet opening angle */
tedyn=interpoly(Ra, xx, y, three, k)
if( a < (deltaA-THa) ) then
cycle
end if
if( (a-dtheta) < (deltaA-THa)) then
Awidth=a+THa-deltaA
ang=a
Alength=anglength(deltaA,ang,THa)
goto 330
end if
if( (a>(THa+deltaA)) .and. ((a-dtheta) >= (THa+deltaA)) )then
return
endif
if( (a>(THa+deltaA)) .and. ((a-dtheta)<(THa+deltaA)))then
Awidth=THa+deltaA-a+dtheta
ang=THa+deltaA
Alength=anglength(deltaA,ang,THa)
goto 330
end if
Awidth=dtheta
ang=a
Alength=anglength(deltaA,ang,THa)
330 dw=Alength*sin(ang)*Awidth
totalw=2.0*PI*(1.0-cos(THa))
Npart=Ma/Mp*dw/totalw
Ntot=Ma/Mp
partflux=obsfluxRs(tedyn, Ga, Ra, Npart, a, N3a, E3a, Ntot, Fca)
EqTfluxRs=EqTfluxRs+partflux
end do
return
end function EqTfluxRs
!***********************************************************************
! FUNCTION interpolyne
! This function is used for RING ANGLE
!
! INPUT:
! -
! -
!
! OUTPUT:
!
! REMINDER:
!***********************************************************************
function anglength(deltA,THobs,alphA)
IMPLICIT NONE
DOUBLE PRECISION :: deltA, THobs, alphA
DOUBLE PRECISION :: temp, x1, x2, anglength
!***********************************************************************
if( THobs >= (deltA+alphA)) then
anglength=0.0
return
end if
if( THobs <= (deltA-alphA)) then
anglength=0.0
return
end if
if( (deltA<alphA) .and. (THobs <= (alphA-deltA))) then
anglength=2.0*PI
return
end if
x1=cos(alphA)-cos(deltA)*cos(THobs)
x2=sin(deltA)*sin(THobs)
temp=x1/x2
anglength=acos(temp)*2.0
return
end function anglength
!***********************************************************************
! FUNCTION interpoly
! This function is used for INTERPOLATING OF GAM2,M2,M3
!
! INPUT:
! - x :
! - xx :
! - y :
! - k :
!
! OUTPUT:
!
! REMINDER:
!***********************************************************************
function interpoly(x, xx, y, iX, k)
IMPLICIT NONE
DOUBLE PRECISION :: x, y(nvar, nstep), interpoly, xx(nstep)
INTEGER*8 :: i, k, iX
DOUBLE PRECISION :: A0, A1, A2
!***********************************************************************
i = k
if( k==1 )then
k=k+1
end if
A0 = (x-10**xx(k))*(x-10**xx(k+1))/(10**xx(k-1)-10**xx(k))/ &
(10**xx(k-1)-10**xx(k+1))
A1 = (x-10**xx(k-1))*(x-10**xx(k+1))/(10**xx(k)-10**xx(k-1))/ &
(10**xx(k)-10**xx(k+1))
A2 = (x-10**xx(k-1))*(x-10**xx(k))/(10**xx(k+1)-10**xx(k-1))/ &
(10**xx(k+1)-10**xx(k))
interpoly = A0*y(iX,k-1)+A1*y(iX,k)+A2*y(iX,k+1)
!print*,'t3(1)',y(3,1)
!print*,'t3(2)',y(3,2)
!print*,'t3(3)',y(3,3)
!print*,'iX, k', iX,k
!print*,'A0,A1,A2',A0,A1,A2
!print*,'y(iX,k-1),y(iX,k),y(iX,k+1)',y(iX,k-1),y(iX,k),y(iX,k+1)
!print*,'interpoly',interpoly
return
k = i
end function interpoly
!***********************************************************************
! FUNCTION interpolyne
! This function is used to INTERPOLATING N3,E3
!
! INPUT:
! - x :
! - xx :
! - y :
! - k :
!
! OUTPUT:
!
! REMINDER:
!***********************************************************************
function interpolyne(x, xx, y, k)
IMPLICIT NONE
DOUBLE PRECISION :: x, y(nstep), interpolyne, xx(nstep)
INTEGER*8 :: i, k, iX
DOUBLE PRECISION :: A0, A1, A2
!***********************************************************************
i = k
if( k==1 )then
k=k+1
end if
A0 = (x-10**xx(k))*(x-10**xx(k+1))/(10**xx(k-1)-10**xx(k))/ &
(10**xx(k-1)-10**xx(k+1))
A1 = (x-10**xx(k-1))*(x-10**xx(k+1))/(10**xx(k)-10**xx(k-1))/ &
(10**xx(k)-10**xx(k+1))
A2 = (x-10**xx(k-1))*(x-10**xx(k))/(10**xx(k+1)-10**xx(k-1))/ &
(10**xx(k+1)-10**xx(k))
interpolyne = A0*y(k-1)+A1*y(k)+A2*y(k+1)
return
k = i
end function interpolyne
!***********************************************************************
! FUNCTION obsfluxfs
! This
!
! INPUT:
! - te :
! - gam :
! - Ra :
! - Npart :
! - ang :
! - Ntot:
!
! OUTPUT:
!
! REMINDER:
!***********************************************************************
function obsfluxfs(te, gam2, Ra, Npart, ang, Ntot)
IMPLICIT NONE
DOUBLE PRECISION :: obsfluxfs, te, gam2, Ra, ang, Npart, Ntot
DOUBLE PRECISION :: trans, beta
DOUBLE PRECISION :: gm, gc, Pmax, Fmax, LamorFre, Bp, Fnu
DOUBLE PRECISION :: nuc, num, nua, nu
DOUBLE PRECISION :: gc_syn, YY, epsilon_rad !For Compton Effect
DOUBLE PRECISION :: dgec, Y, eta, gec2
DOUBLE PRECISION :: hgam, hgam1, hgam0, e2, p2,n2, th
integer(fgsl_int) :: i,l, j
!***********************************************************************
! Accurate adiabatic index hgam2 is through iteration:
hgam = 5./3
hgam0 = 5./3
do j = 1,100
n2 = (hgam*gam2+1.0)/(hgam-1.0)*en1(Ra)
e2 = (gam2-1.0)*n2*mp*c*c
p2 = (hgam-1.0)*e2
th = p2/(n2*mp*c*c)
if (th>2e-3)then
hgam = 1.0+th/(3.0*th+fgsl_sf_bessel_kcn(1,1./th)/fgsl_sf_bessel_kcn(2,1./th)-1.0)
if ((hgam >5./3).or.(hgam<4./3)) then
hgam = 4./3
endif
else
hgam = 5./3
endif
if (abs(hgam-hgam0)<1e-12)then
MAX_ITERATIONS = j
exit
endif
hgam0 = hgam
end do
!----End Adiabatic Index ------
beta = dsqrt(1.D0-1.D0/gam2/gam2)
trans= gam2*(1.D0-beta*cos(ang))
gm = epsefs*(gam2-1.D0)*mp/me*(p-2.0)/(p-1.0)+1.D0
Bp = sqrt(8.D0*pi*epsBfs*e2)
gc = 6.0D0*pi*me*c*(1.D0+redsh)/(sigmaT*gam2*Bp*Bp*te)
LamorFre= e*Bp/(2.D0*pi*me*c)
nu = obsFre*trans*(1.D0+redsh) !ÓîÖæµ±µØϵµÄƵÂÊ
num = 3.D0*gm*gm*LamorFre/2.D0
nuc = 3.D0*gc*gc*LamorFre/2.D0
nua = nu_absorb(Ra, n2, Bp, gm, gc, Ntot)
Pmax = sqrt(3.0)*e**3.0*Bp/(me*c**2.0)*1.2 !*0.918
Fmax = (1.D0+redsh)*Npart*Pmax/(4.D0*pi*D28**2.D0*1.D56)/trans**3.D0
!-----------------------Compton Effect-------------------------------
!----------------------Two method is 'ok'-----------------------------
epse=epsefs
epsB=epsBfs
gc_syn = gc
gamma_sync = gc_syn !for module 'compton'
gamma_m = gm !
epsilon_rad = 1.D0
YY = (dsqrt(1.D0+4.D0*epsilon_rad*epse/epsB)-1.0)/2.0D0
gc = gc_syn/(1.D0+YY)
if( gc_syn<gm .or. gc<gm )then
gc = gc
else
gc = zbrent(eq_slow_gamma_c,1.D0,gamma_sync,1.D-8)
end if
IF (ICS.EQV..TRUE.) THEN
nuc = 1.5D0*gc*gc*LamorFre
ELSE
nuc = 1.5D0*gc_syn*gc_syn*LamorFre
ENDIF
!--------------------µüŽú·œ·š,Ö»Ðè×¢ÊÍÈ¥µôŒŽ¿ÉÓÃ----------------------------
! gc = gc_syn
! dgec = 1.0
! do while(dgec.ge.0.0001)
! if(gm.le.gc)then
! eta = (gc/gm)**(2.-p)
! else
! eta = 1.0
! endif
! Y = (sqrt(1.+4.*eta*epsefs/epsBfs)-1.)/2.
! gec2 = gc
! gc = gc_syn/(1+Y)
! dgec = abs(gc-gec2)/gc
! end do
! nuc=1.5D0*gc*gc*LamorFre
!--------------------------------------------------------------------
if( (num>=nuc) .and. (nuc>=nua) )then
!fast cooling, nu_a < nu_c < nu_m
if(nu < nua)then
Fnu = (nua/nuc)**(1.D0/3.D0)*(nu/nua)**2.D0
elseif(nu < nuc)then
Fnu = (nu/nuc)**(1.D0/3.D0)
elseif(nu < num)then
Fnu = (nu/nuc)**(-0.5D0)
else
Fnu = (num/nuc)**(-0.5D0)*(nu/num)**(-p/2.D0)
endif
elseif((num >= nua) .and. (nua >= nuc))then
! fast cooling, nu_c < nu_a < nu_m
if(nu < nuc)then
Fnu = (nuc/nua)**(2.5D0)*(nu/nuc)**2.D0
elseif(nu < nua)then
Fnu = (nu/nua)**(2.5D0)
elseif(nu < num)then
Fnu = (nu/nua)**(-0.5D0)
else
Fnu = (num/nua)**(-0.5D0)*(nu/num)**(-p/2.D0)
endif
Fnu = Fnu*(nua/nuc)**(-0.5D0)
elseif((nua >= num) .and. (num >= nuc))then
! fast cooling, nu_c < nu_m < nu_a
if(nu < nuc)then
Fnu = (nuc/nua)**(2.5D0)*(nu/nuc)**2.D0
elseif(nu < nua)then
Fnu = (nu/nua)**(2.5D0)
else
Fnu = (nu/nua)**(-p/2.D0)
endif
Fnu = Fnu*(num/nuc)**(-0.5D0)*(nua/num)**(-p/2.D0)
elseif((nua <= num) .and. (num <= nuc))then
! slow cooling, nu_a < nu_m < nu_c
if(nu < nua)then
Fnu = (nua/num)**(1.D0/3.D0)*(nu/nua)**2.D0
elseif(nu < num)then
Fnu = (nu/num)**(1.D0/3.D0)
elseif(nu < nuc)then
Fnu = (nu/num)**(-(p-1.D0)/2.D0)
else
Fnu = (nuc/num)**(-(p-1.D0)/2.D0) &
*(nu/nuc)**(-p/2.D0)
endif
elseif((num <= nua) .and. (nua <= nuc))then
! slow cooling, nu_m < nu_a < nu_c
if(nu < num)then
Fnu = (num/nua)**(2.5D0)*(nu/num)**2.D0
elseif(nu < nua)then
Fnu = (nu/nua)**(2.5D0)
elseif(nu < nuc)then
Fnu = (nu/nua)**(-(p-1.D0)/2.D0)
else
Fnu = (nuc/nua)**(-(p-1.D0)/2.D0) &
*(nu/nuc)**(-p/2.D0)
endif
Fnu = Fnu*(nua/num)**(-(p-1.D0)/2.D0)
elseif((num <= nuc) .and. (nuc <= nua))then
! slow cooling, nu_m < nu_c < nu_a
if(nu < nuc)then
Fnu = (num/nua)**(2.5D0)*(nu/num)**2.D0
elseif(nu < nua)then
Fnu = (nu/nua)**(2.5D0)
else
Fnu = (nu/nua)**(-p/2.D0)
endif
Fnu = Fnu*(nuc/num)**(-(p-1.D0)/2.D0) &
*(nua/nuc)**(-p/2.D0)
else
print*,'In subroutine emission, I find something impossible you should see it youself!'
print*, 'nu_a:', nua, ' nu_c:', nuc, ' nu_m:', num
pause
endif
obsfluxfs = Fnu*Fmax
return
end function obsfluxfs
!***********************************************************************
! FUNCTION obsfluxrs
! This
!
! INPUT:
! - te :
! - gam :
! - Ra :
! - Npart :
! - ang :
! - n3D : n3
! - e3D : e3
! - Ntot:
! - fc
!
! OUTPUT:
!
! REMINDER:
!***********************************************************************
function obsfluxrs(te, gam, Ra, Npart, ang, n3D, e3D, Ntot, fc)
IMPLICIT NONE
DOUBLE PRECISION :: obsfluxrs, te, gam, Ra, ang, Ntot, n3D, e3D, Fnu, Npart
DOUBLE PRECISION :: trans, beta
DOUBLE PRECISION :: gm, gc, Pmax, LamorFre, ep, Bp, nu
DOUBLE PRECISION :: BpT, LamorFreT, nu_m3T, nu_c3T, nu_cut
DOUBLE PRECISION :: gc_syn, YY, epsilon_rad !For Compton Effect
DOUBLE PRECISION :: hgam, hgam0, p3, th, fc
integer(fgsl_int) :: i,l, j
!***********************************************************************
! Accurate adiabatic index hgam obtained by iteration
hgam = 5./3
hgam0 = 5./3
do j = 1,100
p3 = (hgam-1.0)*e3D*fc
th = p3/(n3D*mp*c*c)
if (th>2e-3)then
hgam = 1.0+th/(3.0*th+fgsl_sf_bessel_kcn(1,1./th)/fgsl_sf_bessel_kcn(2,1./th)-1.0)
if ((hgam >5./3).or.(hgam<4./3)) then
hgam = 4./3
endif
else
hgam = 5./3
endif
if (abs(hgam-hgam0)<1e-12)then
MAX_ITERATIONS = j
exit
endif
hgam0 = hgam
end do
!----End Adiabatic Index ------
if (sigma > 0.) then
epsBrs = (hgam-1.)*(fc-1.0)
endif
beta = dsqrt(1.D0-1.D0/gam/gam)
trans= gam*(1.D0-beta*cos(ang))
gm = epsers*e3D/(n3D*me*c*c)*(p-2.D0)/(p-1.D0)+1.D0
Bp = sqrt(8.D0*pi*epsBrs*e3D)
gc = 6.0D0*pi*me*c/(sigmaT*gam*Bp*Bp*te)
!print*,' pi, me, c, sigmaT, gam, Bp, te',pi, me, c, sigmaT, gam, Bp, te
LamorFre= e*Bp/(2.D0*pi*me*c)
nu=obsFre*trans*(1.D0+redsh)
num = 1.5D0*gm*gm*LamorFre
nuc = 1.5D0*gc*gc*LamorFre
!print*,'3 Ra, n3D, Bp, gm, gc, Ntot',Ra, n3D, Bp, gm, gc, Ntot
nua = nu_absorb(Ra, n3D, Bp, gm, gc, Ntot)
!print*,'nua',nua
Pmax= (1.D0+redsh)*me*c*c*sigmaT*Bp/(3.D0*e)
Fmax= Npart*Pmax/(4.D0*pi*D28**2*1.D56)/trans**3.D0
!---------------------------Compton Effect----------------------------
epse=epsers
epsB=epsBrs
gc_syn = gc
gamma_sync = gc_syn !for module 'compton'
gamma_m = gm !
epsilon_rad = 1.D0
YY = (dsqrt(1.D0+4.D0*epsilon_rad*epse/epsB)-1.0)/2.0D0
gc = gc_syn/(1.D0+YY)
if( gc_syn<gm .or. gc<gm )then
gc = gc
else
gc = zbrent(eq_slow_gamma_c,1.D0,gamma_sync,1.D-8)
end if
IF (ICS.EQV..TRUE.) THEN
nuc = 1.5D0*gc*gc*LamorFre
ELSE
nuc = 1.5D0*gc_syn*gc_syn*LamorFre
ENDIF
!---------------------------------------------------------------------
!ÒÔϵÄÓïŸäÊÇŽÓKobayashiÎÄÕÂÖÐÀŽµÄ£¬ÊµŒÊÉϲ¢ÎÞ±ØÒª£¬·Ž¶ø»áʹµÃÇúÏß±äµÃ²»¹â»¬£¡
! BpT = sqrt(8.D0*pi*epsBrs*e3(ncross))
! LamorFreT = e*BpT/(2.D0*pi*me*c)
! nu_m3T=(epsers*e3(ncross)/(n3(ncross)*me*c*c)*(p-2.D0)/ &
! (p-1.D0)+1.D0)**2*LamorFreT
! nu_c3T=(6.0D0*pi*me*c/(sigmaT*y(4,ncross)*BpT*BpT*y(3,ncross)))**2*&
! LamorFreT
! if( Ra>=10**xx(ncross) )then
! nu_cut = nu_c3T*num/nu_m3T
! nuc = min(nuc, nu_cut)
! if( nuc<nua )nua=nuc
! if( nuc<num )num=nuc
! end if
!---------------------------------------------------------------------
if( (num>=nuc) .and. (nuc>=nua) )then
!fast cooling, nu_a < nu_c < nu_m
if(nu < nua)then
Fnu = (nua/nuc)**(1.D0/3.D0)*(nu/nua)**2.D0
elseif(nu < nuc)then
Fnu = (nu/nuc)**(1.D0/3.D0)
elseif(nu < num)then
Fnu = (nu/nuc)**(-0.5D0)
else
Fnu = (num/nuc)**(-0.5D0)*(nu/num)**(-p/2.D0)
endif
elseif((num >= nua) .and. (nua >= nuc))then
! fast cooling, nu_c < nu_a < nu_m
if(nu < nuc)then
Fnu = (nuc/nua)**(2.5D0)*(nu/nuc)**2.D0
elseif(nu < nua)then
Fnu = (nu/nua)**(2.5D0)
elseif(nu < num)then
Fnu = (nu/nua)**(-0.5D0)
else
Fnu = (num/nua)**(-0.5D0)*(nu/num)**(-p/2.D0)
endif
Fnu = Fnu*(nua/nuc)**(-0.5D0)
elseif((nua >= num) .and. (num >= nuc))then
! fast cooling, nu_c < nu_m < nu_a
if(nu < nuc)then
Fnu = (nuc/nua)**(2.5D0)*(nu/nuc)**2.D0
elseif(nu < nua)then
Fnu = (nu/nua)**(2.5D0)
else
Fnu = (nu/nua)**(-p/2.D0)
endif
Fnu = Fnu*(num/nuc)**(-0.5D0)*(nua/num)**(-p/2.D0)
elseif((nua <= num) .and. (num <= nuc))then
! slow cooling, nu_a < nu_m < nu_c
if(nu < nua)then
Fnu = (nua/num)**(1.D0/3.D0)*(nu/nua)**2.D0
elseif(nu < num)then
Fnu = (nu/num)**(1.D0/3.D0)
elseif(nu < nuc)then
Fnu = (nu/num)**(-(p-1.D0)/2.D0)
else
Fnu = (nuc/num)**(-(p-1.D0)/2.D0) &
*(nu/nuc)**(-p/2.D0)
endif
elseif((num <= nua) .and. (nua <= nuc))then
! slow cooling, nu_m < nu_a < nu_c
if(nu < num)then
Fnu = (num/nua)**(2.5D0)*(nu/num)**2.D0
elseif(nu < nua)then
Fnu = (nu/nua)**(2.5D0)
elseif(nu < nuc)then
Fnu = (nu/nua)**(-(p-1.D0)/2.D0)
else
Fnu = (nuc/nua)**(-(p-1.D0)/2.D0) &
*(nu/nuc)**(-p/2.D0)
endif
Fnu = Fnu*(nua/num)**(-(p-1.D0)/2.D0)
elseif((num <= nuc) .and. (nuc <= nua))then
! slow cooling, nu_m < nu_c < nu_a
if(nu < nuc)then
Fnu = (num/nua)**(2.5D0)*(nu/num)**2.D0
elseif(nu < nua)then
Fnu = (nu/nua)**(2.5D0)
else
Fnu = (nu/nua)**(-p/2.D0)
endif
Fnu = Fnu*(nuc/num)**(-(p-1.D0)/2.D0) &
*(nua/nuc)**(-p/2.D0)
else
print*,'In subroutine emission, I find something impossible, you should see it youself!'
print*, 'nu_a:', nua, ' nu_c:', nuc, ' nu_m:', num
pause
endif
obsfluxrs = Fnu*Fmax
return
end function obsfluxrs
!***********************************************************************
! Subroutine frequencyrs
! This subroutine computes RS frequency
!
! INPUT:
! - te :
! - gam :
! - R :
! - Ntot :
! - k
!
! OUTPUT:
!
! REMINDER:
!***********************************************************************
subroutine frequencyrs(te, gam, R, Ntot, k)
IMPLICIT NONE
DOUBLE PRECISION :: te, gam, R, Ntot, nn
DOUBLE PRECISION :: num, nuc, gm, gc,ee, B, trans, Pmax, hgam, nua, gmax, numax
DOUBLE PRECISION :: BpT, LamorFreT, nu_m3T, nu_c3T, nu_cut, LamorFre
DOUBLE PRECISION :: gc_syn, YY, epsilon_rad !For Compton Effect
INTEGER*8 :: k
!***********************************************************************
ee = e3(k)
nn = n3(k)
trans=gam*(1.D0-sqrt(1.D0-1.D0/gam/gam))*(1+redsh)
B = sqrt(8.D0*pi*ee*epsBrs)
gm = epsers*ee/(nn*me*c*c)*(p-2.D0)/(p-1.D0)+1.D0
gc = 6.0D0*pi*me*c*(1.D0+redsh)/(sigmaT*gam*B*B*te)
LamorFre= e*B/(2.D0*pi*me*c)
gmax = 1.D8/sqrt(B)
num= gm**2.D0*3.D0*e*B/(4.D0*pi*me*c)
nuc= gc**2.D0*3.D0*e*B/(4.D0*pi*me*c)
numax=gmax**2.D0*3.D0*e*B/(4.D0*pi*me*c)
nua = nu_absorb(R, nn, B, gm, gc, Ntot)
Pmax= me*c*c*sigmaT*B/(3.D0*e)*0.7
epse=epsers
epsB=epsBrs
! if( R>=10**xx(ncross) )then
! BpT = sqrt(8.D0*pi*epsBrs*e3(ncross))
! LamorFreT = e*BpT/(2.D0*pi*me*c)
! nu_m3T=(epsers*e3(ncross)/(n3(ncross)*me*c*c)*(p-2.D0)/(p-1.D0)+ &
! 1.D0)**2*LamorFreT
! nu_c3T=(6.0D0*pi*me*c/(sigmaT*y(4,ncross)*BpT*BpT*y(3,ncross) &
! ))**2*LamorFreT
! nu_cut = nu_c3T*num/nu_m3T
! nuc = min(nuc, nu_cut)
! if( nuc<nua )nua=nuc
! if( nuc<num )num=nuc
! gc = sqrt(nuc/1.5D0/gc/gc)
! gm = sqrt(num/1.5D0/gm/gm)
! end if
gc_syn = gc
gamma_sync = gc_syn !for module 'compton'
gamma_m = gm !
epsilon_rad = 1.D0
YY = (dsqrt(1.D0+4.D0*epsilon_rad*epse/epsB)-1.0)/2.0D0
gc = gc_syn/(1.D0+YY)
if( gc_syn<gm .or. gc<gm )then
gc = gc
else
gc = zbrent(eq_slow_gamma_c,1.D0,gamma_sync,1.D-8)
end if
IF (ICS.EQV..TRUE.) THEN
nuc = 1.5D0*gc*gc*LamorFre
ELSE
nuc = 1.5D0*gc_syn*gc_syn*LamorFre
ENDIF
! if( R>=10**xx(ncross-1) )then
! BpT = sqrt(8.D0*pi*epsBrs*e3(ncross))
! LamorFreT = e*BpT/(2.D0*pi*me*c)
! nu_m3T=(epsers*e3(ncross)/(n3(ncross)*me*c*c)*(p-2.D0)/(p-1.D0)+ &
! 1.D0)**2*LamorFreT
! nu_c3T=(6.0D0*pi*me*c/(sigmaT*y(4,ncross)*BpT*BpT*y(3,ncross) &
! ))**2*LamorFreT
! nu_cut = nu_c3T*num/nu_m3T
! nuc = min(nuc, nu_cut)
! if( nuc<nua )nua=nuc
! if( nuc<num )num=nuc
! end if
! write(200,*)log10(te),gam,R,log10(Ntot),gm,gc,gmax,num,nuc,nua,numax,Pmax
write(outunit,*)te,gam,R,Ntot*mp,gm,gc,gmax,num,nuc,nua,numax,Pmax,B
end subroutine frequencyrs
!***********************************************************************
! Subroutine frequencyfs
! This subroutine computes FS frequency
!
! INPUT:
! - te :
! - gam :
! - R :
! - Ntot :
!
! OUTPUT:
!
! REMINDER:
!***********************************************************************
subroutine frequencyfs(te, gam, R, Ntot, ee, nn)
IMPLICIT NONE
DOUBLE PRECISION :: te, gam, R, Ntot, nn
DOUBLE PRECISION :: num, nuc, gm, gc,ee, B, trans, Pmax
DOUBLE PRECISION :: nua, LamorFre, gmax, numax
DOUBLE PRECISION :: gc_syn, YY, epsilon_rad !For Compton Effect
!***********************************************************************
trans=gam*(1.D0-sqrt(1.D0-1.D0/gam/gam))*(1+redsh)
B = sqrt(8.D0*pi*ee*epsBfs)
gm = (gam-1.0D0)*epsefs*(p-2.0)*mp/((p-1.0)*me)+1.0
gc = 6.0D0*pi*me*c*(1.D0+redsh)/(sigmaT*gam*B*B*te)
gmax= 1.D8/sqrt(B)
LamorFre= e*B/(2.D0*pi*me*c)
num= gm**2.D0*3.D0*e*B/(4.D0*pi*me*c)
nuc= gc**2.D0*3.D0*e*B/(4.D0*pi*me*c)
numax=gmax**2.D0*3.D0*e*B/(4.D0*pi*me*c)
nua = nu_absorb(R, nn, B, gm, gc, Ntot)
Pmax= me*c*c*sigmaT*B/(3.D0*e)*0.7
epse=epsefs
epsB=epsBfs
gc_syn = gc
gamma_sync = gc_syn !for module 'compton'
gamma_m = gm !
epsilon_rad = 1.D0
YY = (dsqrt(1.D0+4.D0*epsilon_rad*epse/epsB)-1.0)/2.0D0
gc = gc_syn/(1.D0+YY)
if( gc_syn<gm .or. gc<gm )then
gc = gc
else
gc = zbrent(eq_slow_gamma_c,1.D0,gamma_sync,1.D-8)
end if
IF (ICS.EQV..TRUE.) THEN
nuc = 1.5D0*gc*gc*LamorFre
ELSE
nuc = 1.5D0*gc_syn*gc_syn*LamorFre
ENDIF
write(outunit,*)te,gam,R,Ntot*mp,gm,gc,gmax,num,nuc,nua,numax,Pmax,B
end subroutine frequencyfs
!***********************************************************************
! FUNCTION EqTfluxFs
! This function is used for
!
! INPUT:
! -
! -
!
! OUTPUT:
!
! REMINDER:
!***********************************************************************
function eq_slow_gamma_c(gamma)
IMPLICIT NONE
DOUBLE PRECISION :: eq_slow_gamma_c,gamma
!***********************************************************************
eq_slow_gamma_c = epse/epsB*(gamma/gamma_m)**(4.D0-p)&
+gamma*gamma_sync/gamma_m/gamma_m-(gamma_sync/gamma_m)**2.D0
end function eq_slow_gamma_c
END MODULE MOD_LIGHTCURVES