SHTOOLS --- Tools for working with spherical harmonics

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SHCrossPowerLC

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

Usage

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

Returns

cpower : complex
Cross power of the two complex functions for spherical harmonic degree l.

Parameters

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

Description

SHCrossPowerLC will calculate the spectral cross-power of two complex functions expressed in complex spherical harmonics for a single spherical harmonic degree l. This is calculated as:

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

See also

shpowerlc, shpowerdensitylc, shcrosspowerdensitylc, shpowerspectrumc, shpowerspectrumdensityc, shcrosspowerspectrumc, shcrosspowerspectrumdensityc

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