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