SciPy

darkhistory.electrons.ics.nonrel_diff_terms.diff_expansion

darkhistory.electrons.ics.nonrel_diff_terms.diff_expansion(beta, photeng, T, as_pairs=False)

Computes the expansion for small beta and photeng/T.

This term is used in the beta expansion method for computing the nonrelativistic ICS spectrum.

Parameters:
beta : ndarray

Velocity of the electron.

photeng : ndarray

Secondary photon energy.

T : float

CMB temperature

as_pairs : bool, optional

If true, treats eleceng and photeng as a paired list: produces eleceng.size == photeng.size values. Otherwise, gets the spectrum at each photeng for each eleceng, returning an array of length eleceng.size*photeng.size.

Returns:
tuple of ndarray

The result of the expansion and the error. Note that the error is a significant overestimate, given by the beta**6 term, when the error should be O(beta**8).

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