def calcM5(hardware, system, atmos, title='m5', X=1.0, return_t2_values=False):
"""
Calculate m5 values for all filters in hardware and system.
Prints all values that go into "table 2" of the overview paper.
Returns dictionary of m5 values.
"""
# photParams stores default values for the exposure time, nexp, size of the primary,
# readnoise, gain, platescale, etc.
# See https://github.com/lsst/sims_photUtils/blob/master/python/lsst/sims/photUtils/PhotometricParameters.py
effarea = np.pi * (6.423/2.*100.)**2
photParams_zp = PhotometricParameters(exptime=1, nexp=1, gain=1, effarea=effarea,
readnoise=8.8, othernoise=0, darkcurrent=0.2)
photParams = PhotometricParameters(gain=1.0, effarea=effarea, readnoise=8.8, othernoise=0, darkcurrent=0.2)
photParams_infinity = PhotometricParameters(gain=1.0, readnoise=0, darkcurrent=0,
othernoise=0, effarea=effarea)
# lsstDefaults stores default values for the FWHMeff.
# See https://github.com/lsst/sims_photUtils/blob/master/python/lsst/sims/photUtils/LSSTdefaults.py
lsstDefaults = LSSTdefaults()
darksky = Sed()
darksky.readSED_flambda(os.path.join(getPackageDir('syseng_throughputs'),
'siteProperties', 'darksky.dat'))
flatSed = Sed()
flatSed.setFlatSED()
m5 = {}
Tb = {}
Sb = {}
kAtm = {}
Cm = {}
dCm_infinity = {}
sourceCounts = {}
skyCounts = {}
skyMag = {}
gamma = {}
zpT = {}
FWHMgeom = {}
FWHMeff = {}
for f in system:
zpT[f] = system[f].calcZP_t(photParams_zp)
eff_wavelen = system[f].calcEffWavelen()[1]
FWHMeff[f] = scale_seeing(0.62, eff_wavelen, X)[0]
m5[f] = SignalToNoise.calcM5(darksky, system[f], hardware[f], photParams, FWHMeff=FWHMeff[f])
fNorm = flatSed.calcFluxNorm(m5[f], system[f])
flatSed.multiplyFluxNorm(fNorm)
sourceCounts[f] = flatSed.calcADU(system[f], photParams=photParams)
# Calculate the Skycounts expected in this bandpass.
skyCounts[f] = (darksky.calcADU(hardware[f], photParams=photParams)
* photParams.platescale**2)
# Calculate the sky surface brightness.
skyMag[f] = darksky.calcMag(hardware[f])
# Calculate the gamma value.
gamma[f] = SignalToNoise.calcGamma(system[f], m5[f], photParams)
# Calculate the "Throughput Integral" (this is the hardware + atmosphere)
dwavelen = np.mean(np.diff(system[f].wavelen))
Tb[f] = np.sum(system[f].sb / system[f].wavelen) * dwavelen
# Calculate the "Sigma" 'system integral' (this is the hardware only)
Sb[f] = np.sum(hardware[f].sb / hardware[f].wavelen) * dwavelen
# Calculate km - atmospheric extinction in a particular bandpass
kAtm[f] = -2.5*np.log10(Tb[f] / Sb[f])
# Calculate the Cm and Cm_Infinity values.
# m5 = Cm + 0.5*(msky - 21) + 2.5log10(0.7/FWHMeff) + 1.25log10(t/30) - km(X-1.0)
# Assumes atmosphere used in system throughput is X=1.0
Cm[f] = (m5[f] - 0.5*(skyMag[f] - 21) - 2.5*np.log10(0.7/FWHMeff[f])
- 1.25*np.log10((photParams.exptime*photParams.nexp)/30.0) + kAtm[f]*(X-1.0))
# Calculate Cm_Infinity by setting readout noise to zero.
m5inf = SignalToNoise.calcM5(darksky, system[f], hardware[f], photParams_infinity,
FWHMeff=FWHMeff[f])
Cm_infinity = (m5inf - 0.5*(skyMag[f] - 21) - 2.5*np.log10(0.7/FWHMeff[f])
- 1.25*np.log10((photParams.exptime*photParams.nexp)/30.0) + kAtm[f]*(X-1.0))
dCm_infinity[f] = Cm_infinity - Cm[f]
print('Filter FWHMeff FWHMgeom SkyMag SkyCounts Zp_t Tb Sb kAtm Gamma Cm dCm_infinity m5 SourceCounts')
for f in ('u', 'g' ,'r', 'i', 'z', 'y'):
FWHMgeom[f] = SignalToNoise.FWHMeff2FWHMgeom(FWHMeff[f])
print('%s %.2f %.2f %.2f %.1f %.2f %.3f %.3f %.4f %.6f %.2f %.2f %.2f %.2f'\
% (f, FWHMeff[f], FWHMgeom[f],
skyMag[f], skyCounts[f], zpT[f], Tb[f], Sb[f], kAtm[f],
gamma[f], Cm[f], dCm_infinity[f], m5[f], sourceCounts[f]))
for f in filterlist:
m5_cm = Cm[f] + 0.5*(skyMag[f] - 21.0) + 2.5*np.log10(0.7/FWHMeff[f]) - kAtm[f]*(X-1.0)
if m5_cm - m5[f] > 0.001:
raise ValueError('Cm calculation for %s band is incorrect! m5_cm != m5_snr' %f)
if return_t2_values:
return {'FWHMeff': FWHMeff, 'FWHMgeom': FWHMgeom, 'skyMag': skyMag, 'skycounts': skyCounts,
'zpT': zpT, 'Tb': Tb, 'Sb': Sb, 'kAtm': kAtm,
'gamma': gamma, 'Cm': Cm, 'dCm_infinity': dCm_infinity,
'm5': m5, 'sourceCounts': sourceCounts}
# Show what these look like individually (add sky & m5 limits on throughput curves)
plt.figure()
for f in filterlist:
plt.plot(system[f].wavelen, system[f].sb, color=filtercolors[f], linewidth=2, label=f)
plt.plot(atmos.wavelen, atmos.sb, 'k:', label='X=1.0')
plt.legend(loc='center right', fontsize='smaller')
plt.xlim(300, 1100)
plt.ylim(0, 1)
plt.xlabel('Wavelength (nm)')
plt.ylabel('Throughput')
plt.title('System Throughputs')
plt.grid(True)
plt.savefig('../plots/throughputs.png', format='png')
plt.figure()
ax = plt.gca()
# Add dark sky
ax2 = ax.twinx()
plt.sca(ax2)
skyab = np.zeros(len(darksky.fnu))
condition = np.where(darksky.fnu > 0)
skyab[condition] = -2.5*np.log10(darksky.fnu[condition]) - darksky.zp
ax2.plot(darksky.wavelen, skyab,
'k-', linewidth=0.8, label='Dark sky mags')
ax2.set_ylabel('AB mags')
ax2.set_ylim(24, 14)
plt.sca(ax)
# end of dark sky
handles = []
for f in filterlist:
plt.plot(system[f].wavelen, system[f].sb, color=filtercolors[f], linewidth=2)
myline = mlines.Line2D([], [], color=filtercolors[f], linestyle='-', linewidth=2,
label = '%s: m5 %.1f (sky %.1f)' %(f, m5[f], skyMag[f]))
handles.append(myline)
plt.plot(atmos.wavelen, atmos.sb, 'k:', label='Atmosphere, X=1.0')
# Add legend for dark sky.
myline = mlines.Line2D([], [], color='k', linestyle='-', label='Dark sky AB mags/arcsec^2')
handles.append(myline)
# end of dark sky legend line
plt.legend(loc=(0.01, 0.69), handles=handles, fancybox=True, numpoints=1, fontsize='small')
plt.ylim(0, 1)
plt.xlim(300, 1100)
plt.xlabel('Wavelength (nm)')
plt.ylabel('Fractional Throughput Response')
plt.title('System total response curves %s' %(title))
plt.savefig('../plots/system+sky' + title + '.png', format='png', dpi=600)
return m5
def calcM5(hardware, system, atmos, title='m5'):
"""
Calculate m5 values for all filters in hardware and system.
Prints all values that go into "table 2" of the overview paper.
Returns dictionary of m5 values.
"""
# photParams stores default values for the exposure time, nexp, size of the primary,
# readnoise, gain, platescale, etc.
# See https://github.com/lsst/sims_photUtils/blob/master/python/lsst/sims/photUtils/PhotometricParameters.py
photParams = PhotometricParameters(gain=1)
photParams_infinity = PhotometricParameters(readnoise=0, darkcurrent=0,
othernoise=0, gain=1)
# lsstDefaults stores default values for the FWHMeff.
# See https://github.com/lsst/sims_photUtils/blob/master/python/lsst/sims/photUtils/LSSTdefaults.py
lsstDefaults = LSSTdefaults()
darksky = Sed()
darksky.readSED_flambda(os.path.join('../siteProperties', 'darksky.dat'))
flatSed = Sed()
flatSed.setFlatSED()
m5 = {}
Tb = {}
Sb = {}
kAtm = {}
Cm = {}
dCm_infinity = {}
sourceCounts = {}
skyCounts = {}
skyMag = {}
gamma = {}
for f in system:
m5[f] = SignalToNoise.calcM5(darksky, system[f], hardware[f], photParams,
FWHMeff=lsstDefaults.FWHMeff(f))
fNorm = flatSed.calcFluxNorm(m5[f], system[f])
flatSed.multiplyFluxNorm(fNorm)
sourceCounts[f] = flatSed.calcADU(system[f], photParams=photParams)
# Calculate the Skycounts expected in this bandpass.
skyCounts[f] = (darksky.calcADU(hardware[f], photParams=photParams)
* photParams.platescale**2)
# Calculate the sky surface brightness.
skyMag[f] = darksky.calcMag(hardware[f])
# Calculate the gamma value.
gamma[f] = SignalToNoise.calcGamma(system[f], m5[f], photParams)
# Calculate the "Throughput Integral" (this is the hardware + atmosphere)
dwavelen = np.mean(np.diff(system[f].wavelen))
Tb[f] = np.sum(system[f].sb / system[f].wavelen) * dwavelen
# Calculate the "Sigma" 'system integral' (this is the hardware only)
Sb[f] = np.sum(hardware[f].sb / hardware[f].wavelen) * dwavelen
# Calculate km - atmospheric extinction in a particular bandpass
kAtm[f] = -2.5*np.log10(Tb[f] / Sb[f])
# Calculate the Cm and Cm_Infinity values.
# m5 = Cm + 0.5*(msky - 21) + 2.5log10(0.7/FWHMeff) + 1.25log10(t/30) - km(X-1.0)
# Exptime should be 30 seconds and X=1.0
exptime = photParams.exptime * photParams.nexp
if exptime != 30.0:
print "Whoa, exposure time was not as expected - got %s not 30 seconds. Please edit Cm calculation." %(exptime)
# Assumes atmosphere used in system throughput is X=1.0
X = 1.0
Cm[f] = (m5[f] - 0.5*(skyMag[f] - 21) - 2.5*np.log10(0.7/lsstDefaults.FWHMeff(f)))
# Calculate Cm_Infinity by setting readout noise to zero.
m5inf = SignalToNoise.calcM5(darksky, system[f], hardware[f], photParams_infinity,
FWHMeff=lsstDefaults.FWHMeff(f))
Cm_infinity = (m5inf - 0.5*(skyMag[f] - 21)
- 2.5*np.log10(0.7/lsstDefaults.FWHMeff(f)))
dCm_infinity[f] = Cm_infinity - Cm[f]
print title
print 'Filter FWHMeff FWHMgeom SkyMag SkyCounts Tb Sb kAtm Gamma Cm dCm_infinity m5 SourceCounts'
for f in ('u', 'g' ,'r', 'i', 'z', 'y'):
print '%s %.2f %.2f %.2f %.1f %.3f %.3f %.4f %.6f %.2f %.2f %.2f %.2f'\
%(f, lsstDefaults.FWHMeff(f),
SignalToNoise.FWHMeff2FWHMgeom(lsstDefaults.FWHMeff(f)),
skyMag[f], skyCounts[f], Tb[f], Sb[f], kAtm[f],
gamma[f], Cm[f], dCm_infinity[f], m5[f], sourceCounts[f])
# Show what these look like individually (add sky & m5 limits on throughput curves)
plt.figure()
for f in filterlist:
plt.plot(system[f].wavelen, system[f].sb, color=filtercolors[f], linewidth=2, label=f)
plt.plot(atmosphere.wavelen, atmosphere.sb, 'k:', label='X=1.0')
plt.legend(loc='center right', fontsize='smaller')
plt.xlim(300, 1100)
plt.ylim(0, 1)
plt.xlabel('Wavelength (nm)')
plt.ylabel('Throughput')
plt.title('System Throughputs')
plt.grid(True)
plt.figure()
ax = plt.gca()
# Add dark sky
ax2 = ax.twinx()
plt.sca(ax2)
skyab = -2.5*np.log10(darksky.fnu) - darksky.zp
ax2.plot(darksky.wavelen, skyab,
'k-', linewidth=0.8, label='Dark sky mags')
ax2.set_ylabel('AB mags')
ax2.set_ylim(24, 14)
plt.sca(ax)
# end of dark sky
handles = []
for f in filterlist:
plt.plot(system[f].wavelen, system[f].sb, color=filtercolors[f], linewidth=2)
myline = mlines.Line2D([], [], color=filtercolors[f], linestyle='-', linewidth=2,
label = '%s: m5 %.1f (sky %.1f)' %(f, m5[f], skyMag[f]))
handles.append(myline)
plt.plot(atmos.wavelen, atmos.sb, 'k:', label='Atmosphere, X=1.0')
# Add legend for dark sky.
myline = mlines.Line2D([], [], color='k', linestyle='-', label='Dark sky AB mags/arcsec^2')
handles.append(myline)
# end of dark sky legend line
plt.legend(loc=(0.01, 0.69), handles=handles, fancybox=True, numpoints=1, fontsize='small')
plt.ylim(0, 1)
plt.xlim(300, 1100)
plt.xlabel('Wavelength (nm)')
plt.ylabel('Fractional Throughput Response')
plt.title('System total response curves %s' %(title))
return m5
def calcM5s(hardware, system, atmos, title='m5'):
photParams = PhotometricParameters()
lsstDefaults = LSSTdefaults()
darksky = Sed()
darksky.readSED_flambda(os.path.join(os.getenv('SYSENG_THROUGHPUTS_DIR'), 'siteProperties', 'darksky.dat'))
flatSed = Sed()
flatSed.setFlatSED()
m5 = {}
sourceCounts = {}
skyCounts = {}
skyMag = {}
gamma = {}
for f in system:
m5[f] = SignalToNoise.calcM5(darksky, system[f], hardware[f], photParams, seeing=lsstDefaults.seeing(f))
fNorm = flatSed.calcFluxNorm(m5[f], system[f])
flatSed.multiplyFluxNorm(fNorm)
sourceCounts[f] = flatSed.calcADU(system[f], photParams=photParams)
# Calculate the Skycounts expected in this bandpass.
skyCounts[f] = darksky.calcADU(hardware[f], photParams=photParams) * photParams.platescale**2
# Calculate the sky surface brightness.
skyMag[f] = darksky.calcMag(hardware[f])
# Calculate the gamma value.
gamma[f] = SignalToNoise.calcGamma(system[f], m5[f], photParams)
print title
print 'Filter m5 SourceCounts SkyCounts SkyMag Gamma'
for f in ('u', 'g' ,'r', 'i', 'z', 'y'):
print '%s %.2f %.1f %.2f %.2f %.6f' %(f, m5[f], sourceCounts[f], skyCounts[f], skyMag[f], gamma[f])
# Show what these look like individually (add sky & m5 limits on throughput curves)
plt.figure()
ax = plt.gca()
# Add dark sky
ax2 = ax.twinx()
plt.sca(ax2)
skyab = -2.5*np.log10(darksky.fnu) - darksky.zp
ax2.plot(darksky.wavelen, skyab,
'k-', linewidth=0.8, label='Dark sky mags')
ax2.set_ylabel('AB mags')
ax2.set_ylim(24, 10)
plt.sca(ax)
# end of dark sky
handles = []
for f in filterlist:
plt.plot(system[f].wavelen, system[f].sb, color=filtercolors[f], linewidth=2)
myline = mlines.Line2D([], [], color=filtercolors[f], linestyle='-', linewidth=2,
label = '%s: m5 %.1f (sky %.1f)' %(f, m5[f], skyMag[f]))
handles.append(myline)
plt.plot(atmos.wavelen, atmos.sb, 'k:', label='Atmosphere, X=1.2')
# Add legend for dark sky.
myline = mlines.Line2D([], [], color='k', linestyle='-', label='Dark sky AB mags')
handles.append(myline)
# end of dark sky legend line
plt.legend(loc=(0.01, 0.69), handles=handles, fancybox=True, numpoints=1, fontsize='small')
plt.ylim(0, 1)
plt.xlim(300, 1100)
plt.xlabel('Wavelength (nm)')
plt.ylabel('Fractional Throughput Response')
if title == 'Vendor combo':
title = ''
plt.title('System total response curves %s' %(title))
if title == '':
plt.savefig('throughputs.pdf', format='pdf', dpi=600)
return m5
def calcM5(hardware, system, atmos, title="m5"):
effarea = np.pi * (6.423 / 2.0 * 100.0) ** 2
photParams = PhotometricParameters(effarea=effarea)
lsstDefaults = LSSTdefaults()
darksky = Sed()
darksky.readSED_flambda(os.path.join("../siteProperties", "darksky.dat"))
flatSed = Sed()
flatSed.setFlatSED()
m5 = {}
sourceCounts = {}
skyCounts = {}
skyMag = {}
gamma = {}
for f in system:
m5[f] = SignalToNoise.calcM5(darksky, system[f], hardware[f], photParams, FWHMeff=lsstDefaults.FWHMeff(f))
fNorm = flatSed.calcFluxNorm(m5[f], system[f])
flatSed.multiplyFluxNorm(fNorm)
sourceCounts[f] = flatSed.calcADU(system[f], photParams=photParams)
# Calculate the Skycounts expected in this bandpass.
skyCounts[f] = darksky.calcADU(hardware[f], photParams=photParams) * photParams.platescale ** 2
# Calculate the sky surface brightness.
skyMag[f] = darksky.calcMag(hardware[f])
# Calculate the gamma value.
gamma[f] = SignalToNoise.calcGamma(system[f], m5[f], photParams)
print title
print "Filter m5 SourceCounts SkyCounts SkyMag Gamma"
for f in ("u", "g", "r", "i", "z", "y"):
print "%s %.2f %.1f %.2f %.2f %.6f" % (f, m5[f], sourceCounts[f], skyCounts[f], skyMag[f], gamma[f])
# Show what these look like individually (add sky & m5 limits on throughput curves)
plt.figure()
ax = plt.gca()
# Add dark sky
ax2 = ax.twinx()
plt.sca(ax2)
skyab = -2.5 * np.log10(darksky.fnu) - darksky.zp
ax2.plot(darksky.wavelen, skyab, "k-", linewidth=0.8, label="Dark sky mags")
ax2.set_ylabel("AB mags")
ax2.set_ylim(24, 14)
plt.sca(ax)
# end of dark sky
handles = []
for f in filterlist:
plt.plot(system[f].wavelen, system[f].sb, color=filtercolors[f], linewidth=2)
myline = mlines.Line2D(
[],
[],
color=filtercolors[f],
linestyle="-",
linewidth=2,
label="%s: m5 %.1f (sky %.1f)" % (f, m5[f], skyMag[f]),
)
handles.append(myline)
plt.plot(atmos.wavelen, atmos.sb, "k:", label="Atmosphere, X=1.0 with aerosols")
# Add legend for dark sky.
myline = mlines.Line2D([], [], color="k", linestyle="-", label="Dark sky AB mags")
handles.append(myline)
# end of dark sky legend line
plt.legend(loc=(0.01, 0.69), handles=handles, fancybox=True, numpoints=1, fontsize="small")
plt.ylim(0, 1)
plt.xlim(300, 1100)
plt.xlabel("Wavelength (nm)")
plt.ylabel("Fractional Throughput Response")
if title == "Vendor combo":
title = ""
plt.title("System total response curves %s" % (title))
plt.savefig("../plots/system+sky" + title + ".png", format="png", dpi=600)
return m5
def calcM5(hardware, system, atmos, title='m5'):
"""
Calculate m5 values for all filters in hardware and system.
Prints all values that go into "table 2" of the overview paper.
Returns dictionary of m5 values.
"""
# photParams stores default values for the exposure time, nexp, size of the primary,
# readnoise, gain, platescale, etc.
# See https://github.com/lsst/sims_photUtils/blob/master/python/lsst/sims/photUtils/PhotometricParameters.py
effarea = np.pi * (6.423 / 2. * 100.)**2
photParams_zp = PhotometricParameters(exptime=1,
nexp=1,
gain=1,
effarea=effarea,
readnoise=8.8,
othernoise=0,
darkcurrent=0.2)
photParams = PhotometricParameters(gain=1.0,
effarea=effarea,
readnoise=8.8,
othernoise=0,
darkcurrent=0.2)
photParams_infinity = PhotometricParameters(gain=1.0,
readnoise=0,
darkcurrent=0,
othernoise=0,
effarea=effarea)
# lsstDefaults stores default values for the FWHMeff.
# See https://github.com/lsst/sims_photUtils/blob/master/python/lsst/sims/photUtils/LSSTdefaults.py
lsstDefaults = LSSTdefaults()
darksky = Sed()
darksky.readSED_flambda(os.path.join('../siteProperties', 'darksky.dat'))
flatSed = Sed()
flatSed.setFlatSED()
m5 = {}
Tb = {}
Sb = {}
kAtm = {}
Cm = {}
dCm_infinity = {}
sourceCounts = {}
skyCounts = {}
skyMag = {}
gamma = {}
for f in system:
m5[f] = SignalToNoise.calcM5(darksky,
system[f],
hardware[f],
photParams,
FWHMeff=lsstDefaults.FWHMeff(f))
fNorm = flatSed.calcFluxNorm(m5[f], system[f])
flatSed.multiplyFluxNorm(fNorm)
sourceCounts[f] = flatSed.calcADU(system[f], photParams=photParams)
# Calculate the Skycounts expected in this bandpass.
skyCounts[f] = (darksky.calcADU(hardware[f], photParams=photParams) *
photParams.platescale**2)
# Calculate the sky surface brightness.
skyMag[f] = darksky.calcMag(hardware[f])
# Calculate the gamma value.
gamma[f] = SignalToNoise.calcGamma(system[f], m5[f], photParams)
# Calculate the "Throughput Integral" (this is the hardware + atmosphere)
dwavelen = np.mean(np.diff(system[f].wavelen))
Tb[f] = np.sum(system[f].sb / system[f].wavelen) * dwavelen
# Calculate the "Sigma" 'system integral' (this is the hardware only)
Sb[f] = np.sum(hardware[f].sb / hardware[f].wavelen) * dwavelen
# Calculate km - atmospheric extinction in a particular bandpass
kAtm[f] = -2.5 * np.log10(Tb[f] / Sb[f])
# Calculate the Cm and Cm_Infinity values.
# m5 = Cm + 0.5*(msky - 21) + 2.5log10(0.7/FWHMeff) + 1.25log10(t/30) - km(X-1.0)
# Exptime should be 30 seconds and X=1.0
exptime = photParams.exptime * photParams.nexp
if exptime != 30.0:
print "Whoa, exposure time was not as expected - got %s not 30 seconds. Please edit Cm calculation." % (
exptime)
# Assumes atmosphere used in system throughput is X=1.0
X = 1.0
Cm[f] = (m5[f] - 0.5 * (skyMag[f] - 21) -
2.5 * np.log10(0.7 / lsstDefaults.FWHMeff(f)))
# Calculate Cm_Infinity by setting readout noise to zero.
m5inf = SignalToNoise.calcM5(darksky,
system[f],
hardware[f],
photParams_infinity,
FWHMeff=lsstDefaults.FWHMeff(f))
Cm_infinity = (m5inf - 0.5 * (skyMag[f] - 21) -
2.5 * np.log10(0.7 / lsstDefaults.FWHMeff(f)))
dCm_infinity[f] = Cm_infinity - Cm[f]
print title
print 'Filter FWHMeff FWHMgeom SkyMag SkyCounts Tb Sb kAtm Gamma Cm dCm_infinity m5 SourceCounts'
for f in ('u', 'g', 'r', 'i', 'z', 'y'):
print '%s %.2f %.2f %.2f %.1f %.3f %.3f %.4f %.6f %.2f %.2f %.2f %.2f'\
%(f, lsstDefaults.FWHMeff(f),
SignalToNoise.FWHMeff2FWHMgeom(lsstDefaults.FWHMeff(f)),
skyMag[f], skyCounts[f], Tb[f], Sb[f], kAtm[f],
gamma[f], Cm[f], dCm_infinity[f], m5[f], sourceCounts[f])
# Show what these look like individually (add sky & m5 limits on throughput curves)
plt.figure()
for f in filterlist:
plt.plot(system[f].wavelen,
system[f].sb,
color=filtercolors[f],
linewidth=2,
label=f)
plt.plot(atmosphere.wavelen, atmosphere.sb, 'k:', label='X=1.0')
plt.legend(loc='center right', fontsize='smaller')
plt.xlim(300, 1100)
plt.ylim(0, 1)
plt.xlabel('Wavelength (nm)')
plt.ylabel('Throughput')
plt.title('System Throughputs')
plt.grid(True)
plt.figure()
ax = plt.gca()
# Add dark sky
ax2 = ax.twinx()
plt.sca(ax2)
skyab = -2.5 * np.log10(darksky.fnu) - darksky.zp
ax2.plot(darksky.wavelen,
skyab,
'k-',
linewidth=0.8,
label='Dark sky mags')
ax2.set_ylabel('AB mags')
ax2.set_ylim(24, 14)
plt.sca(ax)
# end of dark sky
handles = []
for f in filterlist:
plt.plot(system[f].wavelen,
system[f].sb,
color=filtercolors[f],
linewidth=2)
myline = mlines.Line2D([], [],
color=filtercolors[f],
linestyle='-',
linewidth=2,
label='%s: m5 %.1f (sky %.1f)' %
(f, m5[f], skyMag[f]))
handles.append(myline)
plt.plot(atmos.wavelen, atmos.sb, 'k:', label='Atmosphere, X=1.0')
# Add legend for dark sky.
myline = mlines.Line2D([], [],
color='k',
linestyle='-',
label='Dark sky AB mags/arcsec^2')
handles.append(myline)
# end of dark sky legend line
plt.legend(loc=(0.01, 0.69),
handles=handles,
fancybox=True,
numpoints=1,
fontsize='small')
plt.ylim(0, 1)
plt.xlim(300, 1100)
plt.xlabel('Wavelength (nm)')
plt.ylabel('Fractional Throughput Response')
plt.title('System total response curves %s' % (title))
return m5
def calcM5(hardware, system, atmos, title='m5'):
effarea = np.pi * (6.423/2.0*100.)**2
photParams = PhotometricParameters(effarea = effarea)
lsstDefaults = LSSTdefaults()
darksky = Sed()
darksky.readSED_flambda(os.path.join('../siteProperties', 'darksky.dat'))
flatSed = Sed()
flatSed.setFlatSED()
m5 = {}
sourceCounts = {}
skyCounts = {}
skyMag = {}
gamma = {}
for f in system:
m5[f] = SignalToNoise.calcM5(darksky, system[f], hardware[f], photParams, FWHMeff=lsstDefaults.FWHMeff(f))
fNorm = flatSed.calcFluxNorm(m5[f], system[f])
flatSed.multiplyFluxNorm(fNorm)
sourceCounts[f] = flatSed.calcADU(system[f], photParams=photParams)
# Calculate the Skycounts expected in this bandpass.
skyCounts[f] = darksky.calcADU(hardware[f], photParams=photParams) * photParams.platescale**2
# Calculate the sky surface brightness.
skyMag[f] = darksky.calcMag(hardware[f])
# Calculate the gamma value.
gamma[f] = SignalToNoise.calcGamma(system[f], m5[f], photParams)
print title
print 'Filter m5 SourceCounts SkyCounts SkyMag Gamma'
for f in ('u', 'g' ,'r', 'i', 'z', 'y'):
print '%s %.2f %.1f %.2f %.2f %.6f' %(f, m5[f], sourceCounts[f], skyCounts[f], skyMag[f], gamma[f])
# Show what these look like individually (add sky & m5 limits on throughput curves)
plt.figure()
ax = plt.gca()
# Add dark sky
ax2 = ax.twinx()
plt.sca(ax2)
skyab = -2.5*np.log10(darksky.fnu) - darksky.zp
ax2.plot(darksky.wavelen, skyab,
'k-', linewidth=0.8, label='Dark sky mags')
ax2.set_ylabel('AB mags')
ax2.set_ylim(24, 14)
plt.sca(ax)
# end of dark sky
handles = []
for f in filterlist:
plt.plot(system[f].wavelen, system[f].sb, color=filtercolors[f], linewidth=2)
myline = mlines.Line2D([], [], color=filtercolors[f], linestyle='-', linewidth=2,
label = '%s: m5 %.1f (sky %.1f)' %(f, m5[f], skyMag[f]))
handles.append(myline)
plt.plot(atmos.wavelen, atmos.sb, 'k:', label='Atmosphere, X=1.0 with aerosols')
# Add legend for dark sky.
myline = mlines.Line2D([], [], color='k', linestyle='-', label='Dark sky AB mags')
handles.append(myline)
# end of dark sky legend line
plt.legend(loc=(0.01, 0.69), handles=handles, fancybox=True, numpoints=1, fontsize='small')
plt.ylim(0, 1)
plt.xlim(300, 1100)
plt.xlabel('Wavelength (nm)')
plt.ylabel('Fractional Throughput Response')
if title == 'Vendor combo':
title = ''
plt.title('System total response curves %s' %(title))
plt.savefig('../plots/system+sky' + title + '.png', format='png', dpi=600)
return m5
def calcM5(hardware, system, atmos, title='m5', return_t2_values=False):
"""
Calculate m5 values for all filters in hardware and system.
Prints all values that go into "table 2" of the overview paper.
Returns dictionary of m5 values.
"""
# photParams stores default values for the exposure time, nexp, size of the primary,
# readnoise, gain, platescale, etc.
# See https://github.com/lsst/sims_photUtils/blob/master/python/lsst/sims/photUtils/PhotometricParameters.py
effarea = np.pi * (6.423/2.*100.)**2
photParams_zp = PhotometricParameters(exptime=1, nexp=1, gain=1, effarea=effarea,
readnoise=8.8, othernoise=0, darkcurrent=0.2)
photParams = PhotometricParameters(gain=1.0, effarea=effarea, readnoise=8.8, othernoise=0, darkcurrent=0.2)
photParams_infinity = PhotometricParameters(gain=1.0, readnoise=0, darkcurrent=0,
othernoise=0, effarea=effarea)
# lsstDefaults stores default values for the FWHMeff.
# See https://github.com/lsst/sims_photUtils/blob/master/python/lsst/sims/photUtils/LSSTdefaults.py
lsstDefaults = LSSTdefaults()
darksky = Sed()
darksky.readSED_flambda(os.path.join(getPackageDir('syseng_throughputs'),
'siteProperties', 'darksky.dat'))
flatSed = Sed()
flatSed.setFlatSED()
m5 = {}
Tb = {}
Sb = {}
kAtm = {}
Cm = {}
dCm_infinity = {}
sourceCounts = {}
skyCounts = {}
skyMag = {}
gamma = {}
zpT = {}
FWHMgeom = {}
FWHMeff = {}
for f in system:
zpT[f] = system[f].calcZP_t(photParams_zp)
m5[f] = SignalToNoise.calcM5(darksky, system[f], hardware[f], photParams, FWHMeff=lsstDefaults.FWHMeff(f))
fNorm = flatSed.calcFluxNorm(m5[f], system[f])
flatSed.multiplyFluxNorm(fNorm)
sourceCounts[f] = flatSed.calcADU(system[f], photParams=photParams)
# Calculate the Skycounts expected in this bandpass.
skyCounts[f] = (darksky.calcADU(hardware[f], photParams=photParams)
* photParams.platescale**2)
# Calculate the sky surface brightness.
skyMag[f] = darksky.calcMag(hardware[f])
# Calculate the gamma value.
gamma[f] = SignalToNoise.calcGamma(system[f], m5[f], photParams)
# Calculate the "Throughput Integral" (this is the hardware + atmosphere)
dwavelen = np.mean(np.diff(system[f].wavelen))
Tb[f] = np.sum(system[f].sb / system[f].wavelen) * dwavelen
# Calculate the "Sigma" 'system integral' (this is the hardware only)
Sb[f] = np.sum(hardware[f].sb / hardware[f].wavelen) * dwavelen
# Calculate km - atmospheric extinction in a particular bandpass
kAtm[f] = -2.5*np.log10(Tb[f] / Sb[f])
# Calculate the Cm and Cm_Infinity values.
# m5 = Cm + 0.5*(msky - 21) + 2.5log10(0.7/FWHMeff) + 1.25log10(t/30) - km(X-1.0)
# Assumes atmosphere used in system throughput is X=1.0
X = 1.0
Cm[f] = (m5[f] - 0.5*(skyMag[f] - 21) - 2.5*np.log10(0.7/lsstDefaults.FWHMeff(f))
- 1.25*np.log10((photParams.exptime*photParams.nexp)/30.0) + kAtm[f]*(X-1.0))
# Calculate Cm_Infinity by setting readout noise to zero.
m5inf = SignalToNoise.calcM5(darksky, system[f], hardware[f], photParams_infinity,
FWHMeff=lsstDefaults.FWHMeff(f))
Cm_infinity = (m5inf - 0.5*(skyMag[f] - 21) - 2.5*np.log10(0.7/lsstDefaults.FWHMeff(f))
- 1.25*np.log10((photParams.exptime*photParams.nexp)/30.0) + kAtm[f]*(X-1.0))
dCm_infinity[f] = Cm_infinity - Cm[f]
print 'Filter FWHMeff FWHMgeom SkyMag SkyCounts Zp_t Tb Sb kAtm Gamma Cm dCm_infinity m5 SourceCounts'
for f in ('u', 'g' ,'r', 'i', 'z', 'y'):
FWHMeff[f] = lsstDefaults.FWHMeff(f)
FWHMgeom[f] = SignalToNoise.FWHMeff2FWHMgeom(lsstDefaults.FWHMeff(f))
print '%s %.2f %.2f %.2f %.1f %.2f %.3f %.3f %.4f %.6f %.2f %.2f %.2f %.2f'\
% (f, FWHMeff[f], FWHMgeom[f],
skyMag[f], skyCounts[f], zpT[f], Tb[f], Sb[f], kAtm[f],
gamma[f], Cm[f], dCm_infinity[f], m5[f], sourceCounts[f])
if return_t2_values:
return {'FHWMeff': FWHMeff, 'FWHMgeom': FWHMgeom, 'skyMag': skyMag, 'skycounts': skyCounts,
'zpT': zpT, 'Tb': Tb, 'Sb': Sb, 'kAtm': kAtm,
'gamma': gamma, 'Cm': Cm, 'dCm_infinity': dCm_infinity,
'm5': m5, 'sourceCounts': sourceCounts}
for f in filterlist:
m5_cm = Cm[f] + 0.5*(skyMag[f] - 21.0) + 2.5*np.log10(0.7/lsstDefaults.FWHMeff(f))
if m5_cm - m5[f] > 0.001:
raise ValueError('Cm calculation for %s band is incorrect! m5_cm != m5_snr' %f)
# Show what these look like individually (add sky & m5 limits on throughput curves)
plt.figure()
for f in filterlist:
plt.plot(system[f].wavelen, system[f].sb, color=filtercolors[f], linewidth=2, label=f)
plt.plot(atmosphere.wavelen, atmosphere.sb, 'k:', label='X=1.0')
plt.legend(loc='center right', fontsize='smaller')
plt.xlim(300, 1100)
plt.ylim(0, 1)
plt.xlabel('Wavelength (nm)')
plt.ylabel('Throughput')
plt.title('System Throughputs')
plt.grid(True)
plt.savefig('../plots/throughputs.png', format='png')
plt.figure()
ax = plt.gca()
# Add dark sky
ax2 = ax.twinx()
plt.sca(ax2)
skyab = np.zeros(len(darksky.fnu))
condition = np.where(darksky.fnu > 0)
skyab[condition] = -2.5*np.log10(darksky.fnu[condition]) - darksky.zp
ax2.plot(darksky.wavelen, skyab,
'k-', linewidth=0.8, label='Dark sky mags')
ax2.set_ylabel('AB mags')
ax2.set_ylim(24, 14)
plt.sca(ax)
# end of dark sky
handles = []
for f in filterlist:
plt.plot(system[f].wavelen, system[f].sb, color=filtercolors[f], linewidth=2)
myline = mlines.Line2D([], [], color=filtercolors[f], linestyle='-', linewidth=2,
label = '%s: m5 %.1f (sky %.1f)' %(f, m5[f], skyMag[f]))
handles.append(myline)
plt.plot(atmos.wavelen, atmos.sb, 'k:', label='Atmosphere, X=1.0')
# Add legend for dark sky.
myline = mlines.Line2D([], [], color='k', linestyle='-', label='Dark sky AB mags/arcsec^2')
handles.append(myline)
# end of dark sky legend line
plt.legend(loc=(0.01, 0.69), handles=handles, fancybox=True, numpoints=1, fontsize='small')
plt.ylim(0, 1)
plt.xlim(300, 1100)
plt.xlabel('Wavelength (nm)')
plt.ylabel('Fractional Throughput Response')
plt.title('System total response curves %s' %(title))
plt.savefig('../plots/system+sky' + title + '.png', format='png', dpi=600)
return m5
