SHTOOLS --- Tools for working with spherical harmonics

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SHCrossPowerL

Compute the cross-power of two real functions for a single spherical harmonic degree.

Usage

cpower = pyshtools.SHCrossPowerL (cilm1, cilm2, l)

Returns

cpower : float
The cross power of the two functions for spherical harmonic degree l.

Parameters

cilm1 : float, dimension (2, lmaxin1+1, lmaxin1+1)
The spherical harmonic coefficients of the first function.
cilm2 : float, dimension (2, lmaxin2+1, lmaxin2+1)
The spherical harmonic coefficients of the second function.
l : integer
The spherical harmonic degree. This must be less than or equal to the minimum of lmaxin1 and lmaxin2.

Description

SHCrossPowerL will calculate the cross-power of two functions for a single spherical harmonic degree l. This is explicitly calculated as:

cpower = Sum_{i=0}^1 Sum_{m=0}^l cilm1[i, l, m] * cilm2[i, l, m].

See also

shpowerl, shpowerdensityl, shcrosspowerdensityl, shpowerspectrum, shpowerspectrumdensity, shcrosspowerspectrum, shcrosspowerspectrumdensity, shadmitcorr

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