def alpha(freq,
T,
P,
X,
X_dict,
otherPar,
units='dBperkm',
path='./',
verbose=False):
"""Piece-wise quadratic frequency interpolation and extrapolation to orton_H2.tables.
Interpolation in T is interptype ('cubic')
Extrapolation in T is based on:
down = nexp (=4) extrapolation in Temperature
up = h2_jj matched at the nearest tabulated point.
freq is a list of frequencies (must be a list)
T and P are scalars in K and bars
X is a list of the mixing ratios constituents at X_dict
otherPar['h2state'] = 'e' or 'n' (h2states)
Units either 'dBperkm' or 'invcm'
Need to have otherPar['newset']=True whenever the frequencies change"""
newset = otherPar['h2newset']
h2state = otherPar['h2state']
interpType = 'cubic'
if len(Ttab) == 0 or newset:
readInputFiles(freq, path, verbose)
h2state = h2state.lower()
P_h2 = P * X[X_dict['H2']]
P_he = P * X[X_dict['HE']]
try:
P_ch4 = P * X[X_dict['CH4']]
except keyError:
P_ch4 = 0.0
alpha_h2 = []
if T < Ttab[0]: ### extrapolate down in T with quartic
nearest = 0
nexp = 4.0
indi = [nearest, nearest + 1]
X1 = Ttab[indi[0]]
X21n = Ttab[indi[1]]**nexp - Ttab[indi[0]]**nexp
for ii in range(len(freq)):
v = []
for jj in indi:
Tjj = Ttab[jj]
#h2-h2
xx = h2tableList['eh2h2'] + h2stateList[h2state]
ah2near = h2vab[xx, ii, jj]
#h2-he
xx = h2tableList['eh2he'] + h2stateList[h2state]
ahenear = h2vab[xx, ii, jj]
#h2-ch4
xx = h2tableList['eh2ch4'] + h2stateList[h2state]
ach4near = h2vab[xx, ii, jj]
#total
a = (P_h2 / atm2bar) * (
ah2near * P_h2 / atm2bar + ahenear * P_he / atm2bar +
ach4near * P_ch4 / atm2bar) * (T0 / Tjj)**2
v.append(a)
Y1 = v[indi[0]]
Y21 = v[indi[1]] - v[indi[0]]
AQ = -1.0 * Y21 / X21n
CQ = Y1 + AQ * (X1**nexp)
a = CQ - AQ * (T**nexp)
alpha_h2.append(a)
elif T > Ttab[-1]: ### extrapolate up in T using Joiner
nearest = -1
Tnear = Ttab[nearest]
jjnear = h2_jj.alpha(freq, Tnear, P, X, X_dict, otherPar)
jj = h2_jj.alpha(freq, T, P, X, X_dict, otherPar)
for ii in range(len(freq)):
#h2-h2
xx = h2tableList['eh2h2'] + h2stateList[h2state]
ah2near = h2vab[xx, ii, nearest]
#h2-he
xx = h2tableList['eh2he'] + h2stateList[h2state]
ahenear = h2vab[xx, ii, nearest]
#h2-ch4
xx = h2tableList['eh2ch4'] + h2stateList[h2state]
ach4near = h2vab[xx, ii, nearest]
#total
anear = (P_h2 / atm2bar) * (
ah2near * P_h2 / atm2bar + ahenear * P_he / atm2bar +
ach4near * P_ch4 / atm2bar) * (T0 / Tnear)**2
a = jj[ii] * (anear / jjnear[ii])
alpha_h2.append(a)
else: ### within range of Orton's tables
for ii in range(len(freq)):
#h2-h2
xx = h2tableList['eh2h2'] + h2stateList[h2state]
fv = interp1d(Ttab, h2vab[xx, ii], kind=interpType)
ah2 = fv(T)
#h2-he
xx = h2tableList['eh2he'] + h2stateList[h2state]
fv = interp1d(Ttab, h2vab[xx, ii], kind=interpType)
ahe = fv(T)
#h2-ch4
xx = h2tableList['eh2ch4'] + h2stateList[h2state]
fv = interp1d(Ttab, h2vab[xx, ii], kind=interpType)
ach4 = fv(T)
#total
a = (P_h2 / atm2bar) * (ah2 * P_h2 / atm2bar + ahe * P_he / atm2bar
+ ach4 * P_ch4 / atm2bar) * (T0 / T)**2
alpha_h2.append(a)
if units == 'dBperkm':
for ii, a in enumerate(alpha_h2):
alpha_h2[ii] = a * 434294.5
elif units != 'invcm':
print 'Assuming units are in invcm...not ' + units
return alpha_h2
def alpha(freq,T,P,X,X_dict,otherPar,units='dBperkm',path='./',verbose=False):
"""Piece-wise quadratic frequency interpolation and extrapolation to orton_H2.tables.
Interpolation in T is interptype ('cubic')
Extrapolation in T is based on:
down = nexp (=4) extrapolation in Temperature
up = h2_jj matched at the nearest tabulated point.
freq is a list of frequencies (must be a list)
T and P are scalars in K and bars
X is a list of the mixing ratios constituents at X_dict
otherPar['h2state'] = 'e' or 'n' (h2states)
Units either 'dBperkm' or 'invcm'
Need to have otherPar['newset']=True whenever the frequencies change"""
newset = otherPar['h2newset']
h2state = otherPar['h2state']
interpType = 'cubic'
if len(Ttab)==0 or newset:
readInputFiles(freq,path,verbose)
h2state = h2state.lower()
P_h2 = P*X[X_dict['H2']]
P_he = P*X[X_dict['HE']]
try:
P_ch4 = P*X[X_dict['CH4']]
except keyError:
P_ch4 = 0.0
alpha_h2 = []
if T < Ttab[0]: ### extrapolate down in T with quartic
nearest = 0
nexp = 4.0
indi = [nearest,nearest+1]
X1 = Ttab[indi[0]]
X21n= Ttab[indi[1]]**nexp - Ttab[indi[0]]**nexp
for ii in range(len(freq)):
v = []
for jj in indi:
Tjj = Ttab[jj]
#h2-h2
xx = h2tableList['eh2h2'] + h2stateList[h2state]
ah2near = h2vab[xx,ii,jj]
#h2-he
xx = h2tableList['eh2he'] + h2stateList[h2state]
ahenear = h2vab[xx,ii,jj]
#h2-ch4
xx = h2tableList['eh2ch4'] + h2stateList[h2state]
ach4near = h2vab[xx,ii,jj]
#total
a = (P_h2/atm2bar)*(ah2near*P_h2/atm2bar + ahenear*P_he/atm2bar + ach4near*P_ch4/atm2bar)*(T0/Tjj)**2
v.append(a)
Y1 = v[indi[0]]
Y21 = v[indi[1]] - v[indi[0]]
AQ = -1.0*Y21/X21n
CQ = Y1 + AQ*(X1**nexp)
a = CQ - AQ*(T**nexp)
alpha_h2.append(a)
elif T > Ttab[-1]: ### extrapolate up in T using Joiner
nearest = -1
Tnear = Ttab[nearest]
jjnear = h2_jj.alpha(freq,Tnear,P,X,X_dict)
jj = h2_jj.alpha(freq,T,P,X,X_dict)
for ii in range(len(freq)):
#h2-h2
xx = h2tableList['eh2h2'] + h2stateList[h2state]
ah2near = h2vab[xx,ii,nearest]
#h2-he
xx = h2tableList['eh2he'] + h2stateList[h2state]
ahenear = h2vab[xx,ii,nearest]
#h2-ch4
xx = h2tableList['eh2ch4'] + h2stateList[h2state]
ach4near = h2vab[xx,ii,nearest]
#total
anear = (P_h2/atm2bar)*(ah2near*P_h2/atm2bar + ahenear*P_he/atm2bar + ach4near*P_ch4/atm2bar)*(T0/Tnear)**2
a = jj[ii]*(anear/jjnear[ii])
alpha_h2.append(a)
else: ### within range of Orton's tables
for ii in range(len(freq)):
#h2-h2
xx = h2tableList['eh2h2'] + h2stateList[h2state]
fv = interp1d(Ttab,h2vab[xx,ii],kind=interpType)
ah2 = fv(T)
#h2-he
xx = h2tableList['eh2he'] + h2stateList[h2state]
fv = interp1d(Ttab,h2vab[xx,ii],kind=interpType)
ahe = fv(T)
#h2-ch4
xx = h2tableList['eh2ch4'] + h2stateList[h2state]
fv = interp1d(Ttab,h2vab[xx,ii],kind=interpType)
ach4 = fv(T)
#total
a = (P_h2/atm2bar)*(ah2*P_h2/atm2bar + ahe*P_he/atm2bar + ach4*P_ch4/atm2bar)*(T0/T)**2
alpha_h2.append(a)
if units=='dBperkm':
for ii,a in enumerate(alpha_h2):
alpha_h2[ii] = a*434294.5
elif units != 'invcm':
print 'Assuming units are in invcm...not '+units
return alpha_h2
JJCMP = True
if JJCMP:
plt.figure(100)
f = []
for i in range(300):
f.append(float(i)/3.0+0.1)
P = 10.0
X_ch4 = 3.3E-5
X_he = 0.1
X_h2 = 1.0 - (X_ch4+X_he)
X_dict={'H2':0,'HE':1,'CH4':2}
X=[X_h2,X_he,X_ch4]
Tease = [30.0,100.0,300.0,600.0]
for T in Tease:
a = h2_jj.alpha(f,T,P,X,X_dict)
s = 'joiner %.0f K' % (T)
plt.semilogy(f,a,'--',label=s)
if T==Tease[0]:
otherPar['newset'] = True
else:
otherPar['newset'] = False
a = h2_orton.alpha(f,T,P,X,X_dict,otherPar,verbose=verbosity)
s = 'orton (e) %.0f K' % (T)
plt.semilogy(f,a,label=s)
a = h2_orton.alpha(f,T,P,X,X_dict,otherPar,verbose=verbosity)
s = 'orton (n) %.0f K' % (T)
plt.semilogy(f,a)
##import h2_orton_linear
##a = h2_orton_linear.alpha(f,T,P,X,X_dict,h2_state='e',newset=True,verbose=verbosity)