dFnu_to_dEnu

zdm.cosmology.dFnu_to_dEnu(z, alpha=0, bandwidth=1000000000.0)[source]

Compute the Jacobian dE/dF for fluence-to-energy transformations.

Useful for converting “per fluence” statistics to “per energy” statistics. This is the derivative of energy with respect to fluence at fixed z.

Parameters:
  • z (float or array_like) – Redshift.

  • alpha (float, optional) – Spectral index where F_nu ~ nu^(-alpha). Default is 0.

  • bandwidth (float, optional) – Observation bandwidth in Hz. Default is 1e9.

Returns:

Jacobian dE/dF for the transformation.

Return type:

float or ndarray