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fs.py
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fs.py
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# -*- coding: utf-8 -*-
"""
Created on Thu Dec 7 21:28:54 2017
@author: leiwh
"""
#-----------Scientific Library-------
import math
import numpy as np
import scipy.optimize
#-----------My Library---------
#Credit: Weihua Lei
try:
from . import cgs,astro,grb
except ImportError:
import cgs,astro,grb
def FS_flux(time_obs,nu_obs,**Z):
log_obs_time = np.log10(time_obs)
#-------Unpack parameters
for key,value in Z.items():
if key == 'z': # Redshift
z = value
elif key == 'k': # Medium density profile index
k = value
elif key == 'SSC': # SSC
# if value == 1:
# SSC = 'Yes'
# else:
# SSC = 'No'
SSC = value
elif key == 'XIC': # EIC
# if value == 1:
# XIC = 'Yes'
# else:
# XIC = 'No'
XIC = value
elif key == 'E0': # Isotropic-equivalent energy in 10^52 erg
E52 = value/1.0e52
elif key == 'Gamma0': # Initial bulk Lorentz factor
Gm0 = value
elif key == 'theta_j': # Jet opening angle
theta_j = value
elif key == 'theta_obs': # Viewing angle in deg
theta_obs = value
elif key == 'n18': # CNM density at 10^18cm
n18 = value
elif key == 'p': # Electron energy distribution index
p = value
elif key == 'epsilon_e': # Fraction of the shock energy into electrons
epsilon_e = value
elif key == 'epsilon_B': # Fraction of the shock energy in magnetic field
epsilon_B = value
#==============Forward shock=====================
#-------Input parameters: independent of model
zi=z
D28=astro.LUD(zi)/1.e28
# k=0.
n_dj=0.
t_djs=0.
t_dje=0.
Lj50=0.
q=0.1
t_ej=1000.
t_ejp=2000.
t_ejf=5000.
mytime=1.*cgs.day
# Band={'X-ray': 1e18,'Optical': 1e15,'Radio': 1e9, 'GeV': 2.4e23}
# Time={'input':tday, 'adjust':10.0**lgtday}
Dynmodel={'analytical': 1,'differential': 2}
with_SSC={'Yes':1, 'No':0}
with_jetbreak={'Yes':1, 'No':0}
Tunits = {'Second': 1.0, 'Day': cgs.day}
Nuunits= {'Hz': 1.0, 'keV': cgs.keV2Hz}
dynamic_model='differential'
# Band_mode='X-ray'
# v=Band[Band_mode]
vlist=list(dict.fromkeys(list(nu_obs)))
Funit=1.
time_unit='Second'
nu_unit='Hz'
jet_break='Yes'
inj_model='No'
Smooth='No'
# SSC = 'Yes'
# XIC = 'Yes'
# #-------refresh output parameters for jet
# t_dec=1.0
# t_Sed=1.0
# t_jet=1.0
# t_col=1.0
# t_min=1.0
# t_colmin=1.0
# nu_a=1.0
# nu_min=1.0
# nu_cool=1.0
#-------Input for jet
n1=n18
pp=p
inum=500
# inumv=500
# inump=20
#-------Initialize the time, gamma, Fv arries in Log space
t=np.logspace(-4., 3.0,inum)
to=np.logspace(-4., 3.0,inum) # t_observe
Rt=np.logspace(14.0,21.0,inum) # original value: 14. to 21.
Gmt=np.logspace(2.,-5.,inum)
# Coolingt=np.zeros((inum,6))
para=np.zeros((inum,19))
lgt=np.logspace(-4., 3.0,inum)
lgFv=np.logspace(1.,6.,inum)*np.ones((len(vlist),inum))
lgFv_SSC=np.logspace(1.,6.,inum)*np.ones((len(vlist),inum))
# lgNu=np.logspace(7.,30.,inumv)
# lgFnu=np.logspace(1.,6.,inumv)
# lgFnu_SSC=np.logspace(1.,6.,inumv)
#-------Initialize critical parameters
# lgNua=np.logspace(-4.,3.0,inump)
# lgNum=np.logspace(-4.,3.0,inump)
# lgNuc=np.logspace(-4.,3.0,inump)
# lgFluxa=np.logspace(-4.,3.0,inump)
# lgFluxm=np.logspace(-4.,3.0,inump)
# lgFluxc=np.logspace(-4.,3.0,inump)
# lgtdec=np.logspace(-4.,3.0,inump)
# lgFluxdec=np.logspace(-4.,3.0,inump)
# lgtSed=np.logspace(-4.,3.0,inump)
# lgFluxSed=np.logspace(-4.,3.0,inump)
#-------start calculation
# Gm0=self.Gamma0
Gmt[1]=Gm0
R0=Rt[1]
Eiso=1.e52 *E52
t[0]=0.
t[1]=R0/(2.*Gm0**2.0*cgs.c*cgs.day)
to[0]=0.
to[1]=t[1]
# if (lgtday<math.log(t[1],10)):
# lgtday=math.log(t[1],10)
# Rdec=(3.*Eiso/(Gm0**2* cgs.c**2 *4.*cgs.pi*n*cgs.mp))**(1/3.)
#-------jet, LoS, view angle
# self.theta_obs=theta_obs_j
thetaj=theta_j/cgs.deg
thetaobs=theta_obs/cgs.deg
fb=(1.-np.cos(thetaj))*2.*cgs.pi/(4.*cgs.pi)
if (theta_obs <= theta_j):
theta_view=0.
else:
theta_view=(thetaobs - thetaj)
m0=1.e-5
dm=0.0
#-------true jet energy: E_j=E_iso*f_b
Ej=Eiso*fb
Mej0=Ej/((Gm0-1.)*cgs.c**2.0)
epsilon_rad=0.0
beta=1.0
vm0=0.0
vc0=0.0
fview=1.
fj=1.
dE=0.0
dva=0.0
dvai=0.0
# m0=2.*cgs.pi*R0**3.*(1.-math.cos(theta_j))*n*cgs.mp/3.
for i in range(1,inum):
ni=n18*(Rt[i]/1.e18)**(-k)
n1=ni
if (i==1):
Gmt[i]=Gm0
beta=np.sqrt(1.-1/Gmt[i]**2.0)
fview=(1.-beta)/(1.-beta*np.cos(theta_view) )
t[i]=R0/(2.*Gm0**2.0*cgs.c) *(1.+zi)
mt=m0
else:
dR=Rt[i]-Rt[i-1]
dm=2.*cgs.pi*Rt[i]**2.*(1.-np.cos(thetaj))*n1*cgs.mp*dR
mt=mt+dm
if (Dynmodel[dynamic_model]==1):
#-------------------if (dynamic_model=="analytical")
Gmt[i] = grb.Gammat(Gm0,n1, Eiso, Rt[i],R0)
else:
#-------------------if (dynamic_model=="differential")
# dm=2.*cgs.pi*Rt[i]**2.*(1.-math.cos(theta_j))*n*cgs.mp*dR
tj=t[i-1]
if (inj_model == 'No'):
dE=0.
elif ((tj > t_ej) and (tj< t_ejf)):
ts=t_ej
if (inj_model == 'fallback'):
tp=t_ejp
s=0.5
Lj=fb*Lj50*1.e50 *(0.5*((tj-ts)/(tp-ts))**(-0.5*s) + 0.5*((tj-ts)/(tp-ts))**(q*s) )**(-1./s)
else:
Lj=fb*Lj50*1.e50* (tj/ts)**(-q)
dE=(1.-beta)/beta/cgs.c/cgs.c/cgs.c * Lj*dR
dGm=-((Gmt[i-1]**2.-1.)*dm - dE)/(Mej0+mt*epsilon_rad+2.*(1.-epsilon_rad)*Gmt[i-1]*mt)
Gmt[i]=Gmt[i-1]+dGm
beta=np.sqrt(1.-1/Gmt[i]**2.0)
dtb=dR/(beta*cgs.c)
dt=dtb/Gmt[i]/(Gmt[i]+np.sqrt(Gmt[i]**2.0-1.0)) *(1.+zi)
#---------------effect of on-axis and off-axis
fview=(1.-beta)/(1.-beta*math.cos(theta_view) )
t[i]=t[i-1]+dt #central engine time
GM21=Gmt[i]
ti=t[i]/fview #off-viewer's time
to[i]=ti
Ri=Rt[i]
lgt[i]=np.log10(ti/Tunits[time_unit])
#-----------add density-jump
if (n_dj>0.) and (ti>=t_djs) and (ti<=t_dje):
n1=n_dj
else:
n1=ni
# #-----------t_dec and t_Sed-------------------
# # if ((mt-dm)*(Gmt[i-1]-1) <= Mej0) and (mt*(Gmt[i]-1) > Mej0):
# if ((mt-dm)*Gm0 <= Mej0) and (mt*Gm0 > Mej0):
# # print("### Deceleration:", Rt[i-1], grb.Rdec(Gm0,n1,Eiso), ti/Tunits[time_unit])
# t_dec=ti/Tunits[time_unit]
# if ((mt-dm) *cgs.c**2 <= Eiso*fb) and (mt*cgs.c**2 > Eiso*fb):
# Rsed0=grb.Rsed(n1,Eiso*fb)
# # if (Rt[i-1] <= Rsed0) and (Rt[i] > Rsed0):
# # print("### Sedov:", Rt[i-1], Rsed0, ti/Tunits[time_unit], Gmt[i])
# t_Sed=ti/Tunits[time_unit]
#-----------Internal energy---------
ei=grb.e2(GM21,n1)
n2=grb.n2_c(GM21,n1)
#-----------B field at comoving frame-------
Bc=grb.Bco2(epsilon_B,ei)
#-----------Max Lorentz factor-------
gm_Max = grb.gamma_Max(Bc)
#-----------Minimum Lorentz factor-------
gm_m=grb.gamma_m2(epsilon_e,GM21,pp,gm_Max)
gm_m0=gm_m
#-----------Cooling Lorentez factor
gm_c=grb.gamma_c(Bc,GM21,ti*fview,zi)
gm_c0=gm_c
#----------For deep Newtonian Phase----
#Introduce a factor fDN due to deep Newtonian
#See Sironi & Giannios, 2013, ApJ, 778, 107
gm_syn = 1.
fDN = 1.
if (gm_m0 <= gm_c0):
if (gm_m0 < gm_syn):
gm_m=gm_syn
fDN = gm_m0/gm_syn
if (pp > 3.):
fDN = (gm_m0/gm_syn)**((-1.+pp)/2.)
else:
if (gm_c0 < gm_syn):
gm_c0=gm_syn
fDN=gm_c0
# fDN_n = ((gm_syn_n -1.)/(gm_m_c -1.))**(1.-2.)
#-----------Y-parameter for SSC without K-N correction
UB = Bc**2. /(8.*cgs.pi)
# Coolingt[i,0]=ti/Tunits[self.time_unit]
# Coolingt[i,2]=UB
Y_SSC = 0.
Uph=1.
if SSC == 'Yes':
if gm_c <= gm_m:
eta_e = 1.
else:
eta_e = (gm_c/gm_m)**(2.-pp)
ratio_epsilon = epsilon_e/epsilon_B
Y_SSC = (-1. + math.sqrt(1.+4.* eta_e* ratio_epsilon))/2.
# Coolingt[i,4]=UB* Y_SSC
Uph=UB* Y_SSC
# Coolingt[i,5]=Y_SSC
#-----------IC cooling of electrons by X-ray photons from internal shock, see Kumar et al. 2013
if (XIC == 'Yes'):
#---------------X-ray flux from interal shock
#Lx = 5.e46 # X-ray flux for SwJ1644+57
#Lx = 10**48.2318 * t_n[i]**(-1.4)
#Lx = 10**48.5 * (t_n[i]/cgs.day)**(-1.4)
td_ce=t[i]/cgs.day #central engine time in unit of day
if td_ce < 20.:
#if t_n[i]/cgs.day < 5.:
#Lx = 50.* 4. *10**46
#else:
Lx = 4. *10**46
#print(t_n[i]/cgs.day, ', R= ',Ri_n, ', B=', Bc_n, 'n=', n1_n)
else:
Lx = 4. *10**46 * (td_ce /20.)**(-5/3.)
#---------------Comoving frame magnetic energy density and IC photons from interal shock
Ux = Lx/(16.*cgs.pi* GM21**2. * Ri**2. *cgs.c)
# UB_n = Bc_n**2. /(8.*cgs.pi)
Y_XIC = Ux/UB
# Coolingt_n[i,0]=t_n[i]/Tunits[self.time_unit]
# Coolingt[i,1]=Ux
# Coolingt_n[i,2]=UB_n
# Coolingt[i,3]=Y_XIC
#gm_c_n=grb.gamma_c(Bc_n,GM21_n,ti_n,zi) /(1. + Y_n)
# #---------------Include the coorections due to the K-N cross-section
# betax = 0.7
# nux = 10.* 1.e-3 *(1.+zi)/GM21
# rex = (cgs.mecc2MeV/nux)**(1.-betax)
# Cx = Y_XIC* rex
# def fkn(ge):
# return Cx* ge**betax + ge* (1.+ Y_SSC) -gm_c
# if Cx >= (gm_c -1.):
# gm_c_kn =1.
# else:
# #gm_c_n_kn = scipy.optimize.newton(fkn,1.)
# gm_c_kn = scipy.optimize.brenth(fkn,1., gm_c)
# #gm_c_n_kn = gm_c_n/(1.+ Y_n* rex)
# #print(gm_c_n_kn)
# gm_c = gm_c_kn
# else:
# gm_c = gm_c/(1.+ Y_SSC)
#-----------v_Max, v_m, v_c, v_a----------
vMax = grb.nu_gme(GM21,gm_Max, Bc,zi)
vm=grb.nu_gme(GM21,gm_m, Bc,zi)
vc=grb.nu_gme(GM21,gm_c, Bc,zi)
va=grb.nu_aB(Bc,pp,n1,vm,vc,GM21,Ri,zi)
# print('t=',t_n[i]/cgs.day, ', vMax=',vMax_n,', vm=', vm_n, ', vc=',vc_n)
# vat[i,0]=np.log10(ti/Tunits[self.time_unit])
# vat[i,1]=np.log10(va*fview)
# vat[i,2]=np.log10(vm*fview)
# vat[i,3]=np.log10(vc*fview)
# vat[i,4]=np.log10(vMax*fview)
# #-----------t_min, t_col and t_colmin, t_jet
if (i>1):
# if ((v - vm) * (v - vm0) <= 0.0 ):
# # print("### time for vm cross:", Rt[i-1], ti/Tunits[self.time_unit])
# t_min=ti/Tunits[time_unit]
# if ((v - vc) * (v - vc0) <= 0.0 ):
# # print("### time for vc cross:", Rt[i-1], ti/Tunits[self.time_unit])
# t_col=ti/Tunits[time_unit]
if ((vc - vm) * (vc0 - vm0) <= 0.0 ):
# # print("### time for vc=vm:", Rt[i-1], ti/Tunits[self.time_unit])
# t_colmin=ti/Tunits[time_unit]
#-----------dva is introduced for smooth connectiong of va during vm vc transition
# c0= 2.8071453296870878e-09
# cnugm=3.575013703788261e-07
# Cg1=4.*GM21*n1*(pp-1.)*gm_m**(pp-1.)
# va1= ((c0/Bc)*(pp+2.)/(pp+2./3.)*Cg1*(cnugm/Bc)**(-5./3.)*gm_m**(-(pp+2./3.)) *Ri/GM21)**(3./5.) *GM21/(1.+zi)
# Cg2=4.*GM21*n1*gm_c
# va2= ((c0/Bc)*(2+2.)/(2+2./3.)*Cg2*(cnugm/Bc)**(-5./3.)*gm_c**(-(2+2./3.)) *Ri/GM21)**(3./5.) *GM21/(1.+zi)
# dva=va1/va2
va1=(pp+2.)/(pp+2./3.)*(pp-1.)
va2=(2+2.)/(2+2./3.)
dva=(va1/va2)**(3/5.)
# print("### the ratio of va when vc=vm:",dva)
if (dva != 0.0):
# dvai=dva*(ti/self.t_colmin)**(-1.)
dvai=dva
# print(dvai)
if (vc< vm):
va=va*dvai
else:
va=va/dvai
gm_a=(va*(2.*cgs.pi *cgs.me *cgs.c)*(1.+zi)/(GM21 *cgs.qe *Bc))**0.5
#-----------replace vm0 and vc0 for next loop
vm0=vm
vc0=vc
#-----------Jet break time: t_jet
if (with_jetbreak[jet_break]==1):
if (thetaj < (1./GM21) ):
if (fj == 1.):
# print("### jet break time:", ti/Tunits[self.time_unit])
t_jet=ti/Tunits[time_unit]
fj=thetaj**2. /(1./GM21**2.)
#-----------Corrections on off-axis jet for flux, see Salafia et al. 2016, arXiv:1601.03735
# if (thetaj<1./GM21):
# thetaj = 1./GM21
# thetajs=thetaj-1/GM21
# if (thetaobs <= thetajs):
# fviewF=1.
# elif ((thetaobs > thetajs) and (thetaobs <= thetaj)):
# fviewF = 1. - GM21*(thetaobs-thetajs)/2.
# else:
# fviewF=0.5* fview**(3.-np.sqrt(2.)*thetaj**(1/3.))
#-----------Pvm and Fvm
Pvm=grb.Pvmax(GM21,Bc)
for l,v in enumerate(vlist):
#-----------Corrections on flux due to jet break effect
Ne=mt/cgs.mp*2./(1.-math.cos(thetaj))
Fvm=(1+zi)*Ne*Pvm/(4.*cgs.pi*(D28*1e28)**2.)*fj*fDN/cgs.uJy
Fvm_IC=1.
fviewF=fview**3.
# Fvti=fview**3. *grb.Fv(v/fview,va,vm,vc,Fvm,pp) *Funit
if (Smooth=='Yes'):
Fvti=fviewF *grb.Fv(v/fview,va,vm,vc,Fvm,pp) *Funit
else:
Fvti=fviewF *grb.Fv_sbpl(v/fview,va,vm,vc,Fvm,pp) *Funit
if (v/fview>=vMax):
if (v/fview/vMax > 300.):
Fvti=Fvti*np.exp(-300.+1.)
else:
Fvti=Fvti*np.exp(-v/fview/vMax+1.)
#
lgFv[l][i]=np.log10(Fvti)
# Fvt[i,0]=lgt[i]
# Fvt[i,1]=lgFv[i]
# LC[i,0]=lgt[i]
# LC[i,1]=lgFv[i]
if (with_SSC[SSC]==1):
Fvm_IC = grb.Fvmax_IC(Fvm, n1, Ri)
# Fvt_IC_n = fview_n**3. *grb.FvIC_simp(v/fview_n,gm_m_n, gm_c_n, vm_n, vc_n, Fvm_IC_n, pp_n) *Funit
# Fvt_IC = fview**3. *grb.FvIC(v/fview,gm_a,gm_m, gm_c, va,vm, vc, vMax, Fvm_IC, GM21,pp) *Funit
Fvt_IC = fviewF *grb.FvIC(v/fview,gm_a,gm_m, gm_c, va,vm, vc, vMax, Fvm_IC, GM21,pp) *Funit
lgFv_SSC[l][i] = np.log10(Fvt_IC)
# LC[i,2]=lgFv_SSC[i]
# #---------------Table for critical time
# if ((t_dec <= to[i]/Tunits[time_unit]) and (t_dec > to[i-1]/Tunits[time_unit])):
# for j in range(0,inump):
# lgtdec[j]=np.log10(t_dec)
# lgFluxdec[j]=lgFv[i]-j/2.
# # lgFluxdec_n[j]=np.log10(fview_n**3. *Fvm_n)-j/2.
# if ((t_Sed <= to[i]/Tunits[time_unit]) and (t_Sed > to[i-1]/Tunits[time_unit])):
# for j in range(0,inump):
# lgtSed[j]=np.log10(t_Sed)
# lgFluxSed[j]=lgFv[i]-j/2.
# #---------------Spectrum----------------------------
# # mytime=Time[self.Time_mode]
# if( (to[i]/cgs.day) >= mytime) and ( (to[i-1]/cgs.day) < mytime):
# nu_a=va/Nuunits[nu_unit] *fview
# nu_min=vm/Nuunits[nu_unit] *fview
# nu_cool=vc/Nuunits[nu_unit] *fview
# #---------------Spectral index
# dv = 1.05
# # Fvtip = fview**3. *grb.Fv(dv* v/fview,va,vm,vc,Fvm,pp) *Funit
# if (Smooth=='Yes'):
# Fvtip=fviewF *grb.Fv(dv* v/fview,va,vm,vc,Fvm,pp) *Funit
# else:
# Fvtip=fviewF *grb.Fv_sbpl(dv* v/fview,va,vm,vc,Fvm,pp) *Funit
# # dF_n = grb.Fv(1.01* v/fview_n,va_n,vm_n,vc_n,Fvm_n,pp_n)/grb.Fv(0.99* v/fview_n,va_n,vm_n,vc_n,Fvm_n,pp_n)
# # dv_n = 1.01/0.99
# dF = Fvtip/Fvti
# lgdF = math.log(dF,10)
# lgdv = math.log(dv,10)
# # print("###[Spec Index]:",lgdF/lgdv)
# #---------------Table for critical syncrotron frequecies
# # Fvva=fview**3. *grb.Fv(va,va,vm,vc,Fvm,pp)
# # Fvvm=fview**3. *grb.Fv(vm,va,vm,vc,Fvm,pp)
# # Fvvc=fview**3. *grb.Fv(vc,va,vm,vc,Fvm,pp)
# if (Smooth=='Yes'):
# Fvva=fviewF *grb.Fv(va,va,vm,vc,Fvm,pp)
# Fvvm=fviewF *grb.Fv(vm,va,vm,vc,Fvm,pp)
# Fvvc=fviewF *grb.Fv(vc,va,vm,vc,Fvm,pp)
# else:
# Fvva=fviewF *grb.Fv_sbpl(va,va,vm,vc,Fvm,pp)
# Fvvm=fviewF *grb.Fv_sbpl(vm,va,vm,vc,Fvm,pp)
# Fvvc=fviewF *grb.Fv_sbpl(vc,va,vm,vc,Fvm,pp)
# for j in range(0,inump):
# lgNua[j]=np.log10(nu_a)
# lgNum[j]=np.log10(nu_min)
# lgNuc[j]=np.log10(nu_cool)
# lgFluxa[j]=np.log10(Fvva)-j/2.
# lgFluxm[j]=np.log10(Fvvm)-j/2.
# lgFluxc[j]=np.log10(Fvvc)-j/2.
# for j in range(1, inumv):
# vj=lgNu[j]
# # Fvtj=fview**3. *grb.Fv(vj/fview,va,vm,vc,Fvm,pp)
# if (Smooth=='Yes'):
# Fvtj=fviewF *grb.Fv(vj/fview,va,vm,vc,Fvm,pp)
# else:
# Fvtj=fviewF *grb.Fv_sbpl(vj/fview,va,vm,vc,Fvm,pp)
# if (vj/fview>=vMax):
# if (vj/fview/vMax > 300.):
# Fvtj=Fvtj*np.exp(-300.+1.)
# else:
# Fvtj=Fvtj*np.exp(-vj/fview/vMax+1.)
# # vmax=grb.nu_Max(GM21,zi)
# # Fvtj=grb.Fv_simp(vj,vm,vc,vmax, Fvm,pp)
# lgNu[j]=np.log10(vj/Nuunits[nu_unit])
# lgFnu[j]=np.log10(Fvtj)
# # lgvFluxv[j]=np.log10(vj*Fvtj)
# # Fvv[j,0]=lgNuv[j]
# # Fvv[j,1]=lgFluxv[j]
# # Spec[j,0]=lgNuv[j]
# # Spec[j,1]=lgFluxv[j]
# # Spec[j,2]=lgvFluxv[j]
# if (with_SSC[SSC]==1):
# # Fvtj_IC= fview_n**3. *grb.FvIC_simp(vj_n/fview_n,gm_m_n, gm_c_n, vm_n, vc_n, Fvm_IC_n, pp_n)
# # Fvtj_IC =fview**3. *grb.FvIC(vj/fview,gm_a, gm_m, gm_c,va,vm, vc, vMax, Fvm_IC, GM21, pp)
# Fvtj_IC =fviewF *grb.FvIC(vj/fview,gm_a, gm_m, gm_c,va,vm, vc, vMax, Fvm_IC, GM21, pp)
# lgFnu_SSC[j]=np.log10(Fvtj_IC)
# # lgvFluxv_SSC[j]=np.log10(vj*Fvtj_IC)
# # Spec[j,3]=lgFluxv_SSC[j]
# # Spec[j,4]=lgvFluxv_SSC[j]
#---------------Parameters-----------
para[i,0]=ti/Tunits[time_unit]
para[i,1]=Ri
para[i,2]=GM21
para[i,3]=beta
para[i,4]=n2
para[i,5]=ei
para[i,6]=Bc
para[i,7]=Uph
para[i,8]=UB
para[i,9]=gm_a
para[i,10]=gm_m
para[i,11]=gm_c
para[i,12]=gm_Max
para[i,13]=va*fview
para[i,14]=vm*fview
para[i,15]=vc*fview
para[i,16]=vMax*fview
para[i,17]=Fvm
para[i,18]=Fvm_IC
#-----------small correction
Gmt[0]=Gmt[1]
lgt[0]=lgt[2]
lgFv[:,0]=lgFv[:,2]
# lgNu[0]=lgNu[2]
# lgFnu[0]=lgFnu[2]
lgt[1]=lgt[2]
lgFv[:,1]=lgFv[:,2]
# lgNu[1]=lgNu[2]
# lgFnu[1]=lgFnu[2]
lgFv_SSC[:,0]=lgFv_SSC[:,2]
# lgFnu_SSC[0]=lgFnu_SSC[2]
lgFv_SSC[:,1]=lgFv_SSC[:,2]
# lgFnu_SSC[1]=lgFnu_SSC[2]
for j in range(0,19):
para[0,j]=para[1,j]
#-------transfer data to global
paralist=para
# lgLC=np.column_stack((lgt,lgFv.T))
# lgSpec=np.column_stack((lgNu,lgFnu))
# lgLC_SSC=np.column_stack((lgt,lgFv_SSC.T))
# lgSpec_SSC=np.column_stack((lgNu,lgFnu_SSC))
#================end of Forward shock==================
if SSC=='Yes':
lgFv = np.log10(np.power(10.0,lgFv-3.0)+np.power(10.0,lgFv_SSC-3.0)) # convert unit to "mJy"
else:
lgFv = lgFv-3.0 # convert unit to "mJy"
#--------Estimate the flux of obs_time (add by fsy)
estimate_model_log_flux = np.zeros(len(log_obs_time))
for i,t in enumerate(log_obs_time):
for iline in range(len(vlist)):
if nu_obs[i] == vlist[iline]:
vline = iline
break
model_log_time = lgt
estimate_model_log_flux[i] = np.interp(t,model_log_time,lgFv[vline],left=-99.0,right=99.0)
return 10**estimate_model_log_flux