def double_beta_dust_FGB_Model(units='K_CMB'):
H_OVER_K = constants.h * 1e9 / constants.k
# Conversion factor at frequency nu
K_RJ2K_CMB = ('(expm1(h_over_k * nu / Tcmb)**2'
'/ (exp(h_over_k * nu / Tcmb) * (h_over_k * nu / Tcmb)**2))')
K_RJ2K_CMB = K_RJ2K_CMB.replace('Tcmb', str(Planck15.Tcmb(0).value))
K_RJ2K_CMB = K_RJ2K_CMB.replace('h_over_k', str(H_OVER_K))
K_RJ2K_CMB_NU0 = K_RJ2K_CMB + ' / ' + K_RJ2K_CMB.replace('nu', 'nu0')
analytic_expr1 = (
'(exp(nu0 / temp * h_over_k) - 1)'
'/ (exp(nu / temp * h_over_k) - 1)'
'* (nu / nu0)**(1 + beta_d0) * (nu0 / nubreak)**(beta_d0-beta_d1) * (1-(0.5 + 0.5*tanh((nu-nubreak)*500)))'
) #' * (1-heaviside(nu-nubreak ,0.5))')
analytic_expr2 = (
'(exp(nu0 / temp * h_over_k) - 1)'
'/ (exp(nu / temp * h_over_k) - 1)'
'* (nu / nu0)**(1 + beta_d1) * (0.5 + 0.5*tanh((nu-nubreak)*500))'
) #' * heaviside(nu-nubreak,0.5)')
#analytic_expr = (analytic_expr1 + ' + ' + analytic_expr2)
if 'K_CMB' in units:
#analytic_expr += ' * ' + K_RJ2K_CMB_NU0
#pass
analytic_expr = analytic_expr1 + ' * ' + K_RJ2K_CMB_NU0 + ' + ' + analytic_expr2 + ' * ' + K_RJ2K_CMB_NU0
elif 'K_RJ' in units:
#pass
analytic_expr = (analytic_expr1 + ' + ' + analytic_expr2)
else:
raise ValueError("Unsupported units: %s" % units)
return analytic_expr
def __init__(self, units='uK_CMB'):
# Prepare the analytic expression
x_nu = '(nu * h_over_k / Tcmb)'
analytic_expr = 'Tcmb * (x_nu * (exp(x_nu) + 1) / expm1(x_nu) - 4)'
analytic_expr = analytic_expr.replace('x_nu', x_nu)
if 'K_CMB' in units:
pass
elif 'K_RJ' in units:
analytic_expr += ' / ' + K_RJ2K_CMB
else:
raise ValueError("Unsupported units: %s" % units)
if units[0] == 'u':
analytic_expr = '1e6 * ' + analytic_expr
elif units[0] == 'm':
analytic_expr = '1e3 * ' + analytic_expr
kwargs = dict(Tcmb=Planck15.Tcmb(0).value, h_over_k=H_OVER_K)
super(ThermalSZ, self).__init__(analytic_expr, **kwargs)
def double_beta_dust_FGB_Model():
H_OVER_K = constants.h * 1e9 / constants.k
# Conversion factor at frequency nu
K_RJ2K_CMB = ('(expm1(h_over_k * nu / Tcmb)**2'
'/ (exp(h_over_k * nu / Tcmb) * (h_over_k * nu / Tcmb)**2))')
K_RJ2K_CMB = K_RJ2K_CMB.replace('Tcmb', str(Planck15.Tcmb(0).value))
K_RJ2K_CMB = K_RJ2K_CMB.replace('h_over_k', str(H_OVER_K))
K_RJ2K_CMB_NU0 = K_RJ2K_CMB + ' / ' + K_RJ2K_CMB.replace('nu', 'nu0')
analytic_expr1 = ('(exp(nu0 / temp * h_over_k) -1)'
'/ (exp(nu / temp * h_over_k) - 1)'
'* (nu / nu0)**(1 + beta_d0) * (nu0 / nubreak)**(beta_d0-beta_d1) * '+K_RJ2K_CMB_NU0 + '* (1-heaviside(nu-nubreak,0.5))')
analytic_expr2 = ('(exp(nu0 / temp * h_over_k) -1)'
'/ (exp(nu / temp * h_over_k) - 1)'
'* (nu / nu0)**(1 + beta_d1) * '+K_RJ2K_CMB_NU0 + '* heaviside(nu-nubreak,0.5)')
analytic_expr = analytic_expr1 + ' + ' + analytic_expr2
return analytic_expr
'Dust',
'Synchrotron',
'ModifiedBlackBody',
'PowerLaw',
'FreeFree',
]
lambdify = lambda x, y: sympy.lambdify(x, y, 'numpy')
H_OVER_K = constants.h * 1e9 / constants.k
# Conversion factor at frequency nu
K_RJ2K_CMB = ('(expm1(h_over_k * nu / Tcmb)**2'
'/ (exp(h_over_k * nu / Tcmb) * (h_over_k * nu / Tcmb)**2))')
K_RJ2K_CMB = K_RJ2K_CMB.replace('Tcmb', str(Planck15.Tcmb(0).value))
K_RJ2K_CMB = K_RJ2K_CMB.replace('h_over_k', str(H_OVER_K))
# Conversion factor at frequency nu divided by the one at frequency nu0
K_RJ2K_CMB_NU0 = K_RJ2K_CMB + ' / ' + K_RJ2K_CMB.replace('nu', 'nu0')
def bandpass_integration(f):
''' Decorator for bandpass integration
Parameters
----------
f: callable
Function to evaluate an SED. Its first argument must be a frequency
array. The other positional or keyword arguments are arbitrary.