def levelPops(lam0In, logNStage, chiL, logUw, gwL, numDeps, temp):
""" Returns depth distribution of occupation numbers in lower level of b-b transition,
// Input parameters:
// lam0 - line centre wavelength in nm
// logNStage - log_e density of absorbers in relevent ion stage (cm^-3)
// logFlu - log_10 oscillator strength (unitless)
// chiL - energy of lower atomic E-level of b-b transition in eV
// Also needs atsmopheric structure information:
// numDeps
// temp structure """
c = Useful.c()
logC = Useful.logC()
k = Useful.k()
logK = Useful.logK()
logH = Useful.logH()
logEe = Useful.logEe()
logMe = Useful.logMe()
ln10 = math.log(10.0)
logE = math.log10(math.e)
#// for debug output
log2pi = math.log(2.0 * math.pi)
log2 = math.log(2.0)
#//double logNl = logNlIn * ln10; // Convert to base e
#// Parition functions passed in are 2-element vectore with remperature-dependent base 10 log Us
#// Convert to natural logs:
#double thisLogUw, Ttheta;
thisLogUw = 0.0 # //default initialization
#logUw = [ 0.0 for i in range(5) ]
logE10 = math.log(10.0)
#print("log10UwStage ", log10UwStage)
#for kk in range(len(logUw)):
# logUw[kk] = logE10*log10UwStage[kk] #// lburns new loop
logGwL = math.log(gwL)
#//System.out.println("chiL before: " + chiL);
#// If we need to subtract chiI from chiL, do so *before* converting to tiny numbers in ergs!
#////For testing with Ca II lines using gS3 internal line list only:
#//boolean ionized = true;
#//if (ionized) {
#// //System.out.println("ionized, doing chiL - chiI: " + ionized);
#// // chiL = chiL - chiI;
#// chiL = chiL - 6.113;
#// }
#// //
#//Log of line-center wavelength in cm
logLam0 = math.log(lam0In) #// * 1.0e-7);
#// energy of b-b transition
logTransE = logH + logC - logLam0 #//ergs
if (chiL <= 0.0):
chiL = 1.0e-49
logChiL = math.log(
chiL) + Useful.logEv() #// Convert lower E-level from eV to ergs
logBoltzFacL = logChiL - Useful.logK(
) #// Pre-factor for exponent of excitation Boltzmann factor
boltzFacL = math.exp(logBoltzFacL)
boltzFacGround = 0.0 / k #//I know - its zero, but let's do it this way anyway'
#// return a 1D numDeps array of logarithmic number densities
#// level population of lower level of bb transition (could be in either stage I or II!)
logNums = [0.0 for i in range(numDeps)]
#double num, logNum, expFac;
for id in range(numDeps):
#//Determine temperature dependenet partition functions Uw:
#Ttheta = 5040.0 / temp[0][id]
#//NEW Determine temperature dependent partition functions Uw: lburns
thisTemp = temp[0][id]
"""
if (Ttheta >= 1.0):
thisLogUw = logUw[0]
if (Ttheta <= 0.5):
thisLogUw = logUw[1]
if (Ttheta > 0.5 and Ttheta < 1.0):
thisLogUw = ( logUw[1] * (Ttheta - 0.5)/(1.0 - 0.5) ) \
+ ( logUw[0] * (1.0 - Ttheta)/(1.0 - 0.5) )
"""
if (thisTemp >= 10000):
thisLogUw = logUw[4]
if (thisTemp <= 130):
thisLogUw = logUw[0]
if (thisTemp > 130 and thisTemp <= 500):
thisLogUw = logUw[1] * (thisTemp - 130)/(500 - 130) \
+ logUw[0] * (500 - thisTemp)/(500 - 130)
if (thisTemp > 500 and thisTemp <= 3000):
thisLogUw = logUw[2] * (thisTemp - 500)/(3000 - 500) \
+ logUw[1] * (3000 - thisTemp)/(3000 - 500)
if (thisTemp > 3000 and thisTemp <= 8000):
thisLogUw = logUw[3] * (thisTemp - 3000)/(8000 - 3000) \
+ logUw[2] * (8000 - thisTemp)/(8000 - 3000)
if (thisTemp > 8000 and thisTemp < 10000):
thisLogUw = logUw[4] * (thisTemp - 8000)/(10000 - 8000) \
+ logUw[3] * (10000 - thisTemp)/(10000 - 8000)
#print("logUw ", logUw, " thisLogUw ", thisLogUw)
#//System.out.println("LevPops: ionized branch taken, ionized = " + ionized);
#// Take stat weight of ground state as partition function:
logNums[id] = logNStage[id] - boltzFacL / temp[0][
id] + logGwL - thisLogUw #// lower level of b-b transition
#print("LevelPopsServer.stagePops id ", id, " logNStage[id] ", logNStage[id], " boltzFacL ", boltzFacL, " temp[0][id] ", temp[0][id], " logGwL ", logGwL, " thisLogUw ", thisLogUw, " logNums[id] ", logNums[id]);
#// System.out.println("LevelPops: id, logNums[0][id], logNums[1][id], logNums[2][id], logNums[3][id]: " + id + " "
#// + Math.exp(logNums[0][id]) + " "
#// + Math.exp(logNums[1][id]) + " "
#// + Math.exp(logNums[2][id]) + " "
#// + Math.exp(logNums[3][id]));
#//System.out.println("LevelPops: id, logNums[0][id], logNums[1][id], logNums[2][id], logNums[3][id], logNums[4][id]: " + id + " "
#// + logE * (logNums[0][id]) + " "
#// + logE * (logNums[1][id]) + " "
#// + logE * (logNums[2][id]) + " "
# // + logE * (logNums[3][id]) + " "
#// + logE * (logNums[4][id]) );
#//System.out.println("LevelPops: id, logIonFracI, logIonFracII: " + id + " " + logE*logIonFracI + " " + logE*logIonFracII
#// + "logNum, logNumI, logNums[0][id], logNums[1][id] "
#// + logE*logNum + " " + logE*logNumI + " " + logE*logNums[0][id] + " " + logE*logNums[1][id]);
#//System.out.println("LevelPops: id, logIonFracI: " + id + " " + logE*logIonFracI
#// + "logNums[0][id], boltzFacL/temp[0][id], logNums[2][id]: "
#// + logNums[0][id] + " " + boltzFacL/temp[0][id] + " " + logNums[2][id]);
#//id loop
#stop
return logNums
def jolaKap(jolaLogNums, dfBydw, jolaPoints, numDeps, temp, rho):
log10E = math.log10(math.e)
nm2cm = 1.0e-7
numPoints = len(jolaPoints)
logKappaJola = [[0.0 for i in range(numDeps)] for j in range(numPoints)]
#//Initialize this carefully:
for iD in range(numDeps):
for iW in range(numPoints):
logKappaJola[iW][iD] = -999.0
#double stimEmExp, stimEmLogExp, stimEmLogExpHelp, stimEm;
#double freq, lastFreq, w, lastW, deltaW, thisDeltaF;
logSigma = -999.0
logFreq = Useful.logC() - math.log(nm2cm * jolaPoints[0])
logW = 0.0 - math.log(nm2cm * jolaPoints[0]) #//if w is waveno in cm^-1
#//lastFreq = Math.exp(logFreq)
lastW = math.exp(logW)
#//try accumulating oscillator strenth, f, across band - assumes f = 0 at first (largest) lambda- ??
thisF = 0.0
#//If f is cumulative in wavenumber, then we have to make the wavenumber loop the inner one even if it
#//means re-calculating depth-independent quantities each time:
for iD in range(numDeps):
thisF = 0.0 #//re-set accumulator
#//loop in order of *increasing* wavenumber
#for (int iW = numPoints-1; iW >=1; iW--){
for iW in range(numPoints - 1, 1, -1):
#//df/dv is a differential oscillator strength in *frequency* space:
logFreq = Useful.logC() - math.log(nm2cm * jolaPoints[iW])
freq = math.exp(logFreq)
logW = 0.0 - math.log(
nm2cm * jolaPoints[iW]) #//if w is waveno in cm^-1
w = math.exp(logW) #//if w is waveno in cm^-1
#//System.out.println("w " + w);
#//deltaW = Math.abs(freq - lastFreq);
deltaW = abs(w - lastW)
#//For LTE stimulated emission correction:
stimEmLogExpHelp = Useful.logH() + logFreq - Useful.logK()
#// for (int iD = 0; iD < numDeps; iD++){
thisDeltaF = deltaW * dfBydw[iW][iD]
if (thisDeltaF > 0.0):
#thisF += thisDeltaF #//cumulative version
thisF = thisDeltaF
#//non-cumulative version
logSigma = math.log(thisF) + math.log(
math.pi) + 2.0 * Useful.logEe() - Useful.logMe(
) - Useful.logC()
else:
logSigma = -999.0
#// LTE stimulated emission correction:
stimEmLogExp = stimEmLogExpHelp - temp[1][iD]
stimEmExp = -1.0 * math.exp(stimEmLogExp)
stimEm = (1.0 - math.exp(stimEmExp))
#//extinction coefficient in cm^2 g^-1:
logKappaJola[iW][iD] = logSigma + jolaLogNums[iD] - rho[1][
iD] + math.log(stimEm)
#//logKappaJola[iW][iD] = -999.0;
#//if (iD%10 == 1){
#//System.out.println("iD " + iD + " iW " + iW + " logFreq " + log10E*logFreq + " logW " + log10E*logW + " logStimEm " + log10E*Math.log(stimEm));
#//System.out.println("iD " + iD + " iW " + iW + " thisDeltaF " + thisDeltaF + " logSigma " + log10E*logSigma + " jolaLogNums " + log10E*jolaLogNums[iD] + " rho " + log10E*rho[1][iD] + " logKappaJola " + log10E*logKappaJola[iW][iD]);
#//}
#// } //iD loop - depths
lastFreq = freq
#} //iW loop - wavelength
#} //iD loop - depths
return logKappaJola
def lineKap(lam0In, logNums, logFluIn, linePoints, lineProf, numDeps, zScale,
tauRos, temp, rho, logFudgeTune):
logE10 = math.log(10.0) #//natural log of 10
c = Useful.c()
logC = Useful.logC()
k = Useful.k()
logK = Useful.logK()
logH = Useful.logH()
logEe = Useful.logEe()
logMe = Useful.logMe()
ln10 = math.log(10.0)
logE = math.log10(math.e) #// for debug output
log2pi = math.log(2.0 * math.pi)
log2 = math.log(2.0)
lam0 = lam0In #// * 1.0E-7; //nm to cm
logLam0 = math.log(lam0)
#//double logNl = logNlIn * ln10; // Convert to base e
logFlu = logFluIn * ln10 #// Convert to base e
logKScale = math.log10(zScale)
#//chiI = chiI * Useful.eV; // Convert lower E-level from eV to ergs
#//double boltzFacI = chiI / k; // Pre-factor for exponent of excitation Boltzmann factor
#//double logSahaFac = log2 + (3.0/2.0) * ( log2pi + logMe + logK - 2.0*logH);
#//chiL = chiL * Useful.eV; // Convert lower E-level from eV to ergs
#//double boltzFac = chiL / k; // Pre-factor for exponent of excitation Boltzmann factor
numPoints = len(linePoints[0])
#//System.out.println("LineKappa: numPoints: " + numPoints);
#double logPreFac;
#//This converts f_lu to a volume extinction coefficient per particle - Rutten, p. 23
logPreFac = logFlu + math.log(math.pi) + 2.0 * logEe - logMe - logC
#//System.out.println("LINEKAPPA: logPreFac " + logPreFac);
#//Assume wavelength, lambda, is constant throughout line profile for purpose
#// of computing the stimulated emission correction
#double logExpFac;
logExpFac = logH + logC - logK - logLam0
#//System.out.println("LINEKAPPA: logExpFac " + logExpFac);
#// int refRhoIndx = TauPoint.tauPoint(numDeps, tauRos, 1.0);
#// double refLogRho = rho[1][refRhoIndx];
#//System.out.println("LINEKAPPA: refRhoIndx, refRho " + refRhoIndx + " " + logE*refRho);
#// return a 2D numPoints x numDeps array of monochromatic *LINE* extinction line profiles
logKappaL = [[0.0 for i in range(numDeps)] for j in range(numPoints)]
#double num, logNum, logExpFac2, expFac, stimEm, logStimEm, logSaha, saha, logIonFrac;
#double logNe;
for id in range(numDeps):
logExpFac2 = logExpFac - temp[1][id]
expFac = -1.0 * math.exp(logExpFac2)
stimEm = 1.0 - math.exp(expFac)
logStimEm = math.log(stimEm)
logNum = logNums[id]
#//if (id == refRhoIndx) {
#// System.out.println("LINEKAPPA: logStimEm " + logE*logStimEm);
#//}
for il in range(numPoints):
#// From Radiative Transfer in Stellar Atmospheres (Rutten), p.31
#// This is a *volume* co-efficient ("alpha_lambda") in cm^-1:
logKappaL[il][id] = logPreFac + logStimEm + logNum + math.log(
lineProf[il][id])
#//if (id == 36) {
#// System.out.println("il " + il + " logNum " + logE*logNum + " Math.log(lineProf[il][id]) " + logE*Math.log(lineProf[il][id]));
#//// //System.out.println("logPreFac " + logPreFac + " logStimEm " + logStimEm);
#//}
#//System.out.println("LINEKAPPA: id, il " + id + " " + il + " logKappaL " + logE * logKappaL[il][id]);
#//Convert to mass co-efficient in g/cm^2:
#// This direct approach won't work - is not consistent with fake Kramer's law scaling of Kapp_Ros with g instead of rho
logKappaL[il][id] = logKappaL[il][id] - rho[1][id]
#//Try something:
#//
#// **********************
#// Opacity problem #2
#//
#//Line opacity needs to be enhanced by same factor as the conitnuum opacity
#// - related to Opacity problem #1 (logFudgeTune in GrayStarServer3.java) - ??
#//
logKappaL[il][id] = logKappaL[il][id] + logE10 * logFudgeTune
#//if (id == 12) {
#// System.out.println("LINEKAPPA: id, il " + id + " " + il + " logKappaL " + logE * logKappaL[il][id]
#// + " logPreFac " + logE*logPreFac + " logStimEm " + logE*logStimEm + " logNum " + logE*logNum
#// + " log(lineProf[il]) " + logE*Math.log(lineProf[il][id]) + " rho[1][id] " + logE * rho[1][id]);
#// }
#//if (id == refRhoIndx-45) {
#// System.out.println("LINEKAPPA: id, il " + id + " " + il + " logKappaL " + logE*logKappaL[il][id]
#// + " logPreFac " + logE*logPreFac + " logStimEm " + logE*logStimEm + " logNum " + logE*logNum + " logRho " + logE*rho[1][id]
#// + " log(lineProf[1]) " + logE*Math.log(lineProf[1][il]) );
#//}
#} // il - lambda loop
#} // id - depth loop
return logKappaL
