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SHCrossPowerLC
Compute the cross-power of two complex functions for a single spherical harmonic degree.
Usage
cpower = SHCrossPowerLC (cilm1, cilm2, l)
Parameters
cpower: output, complex*16- Cross power of the two complex functions for spherical harmonic degree
l. cilm1: input, complex*16, dimension (2,lmaxin1+1,lmaxin1+1)- The first complex function expressed in complex spherical harmonics.
cilm2: input, complex*16, dimension (2,lmaxin2+1,lmaxin2+1)- The second complex function expressed in complex spherical harmonics.
l: input, integer- The spherical harmonic degree. This must be less than or equal to the minimum of
lmaxin1andlmaxin2.
Description
SHCrossPowerLC will calculate the spectral cross-power of two complex functions expressed in complex 4-pi normalized spherical harmonics for a single spherical harmonic degree l. This is calculated as:
cpower = Sum_{i=1}^2 Sum_{m=0}^l cilm1(i, l+1, m+1) * conjg[cilm2(i, l+1, m+1)].
See also
shpowerlc, shpowerdensitylc, shcrosspowerdensitylc, shpowerspectrumc, shpowerspectrumdensityc, shcrosspowerspectrumc, shcrosspowerspectrumdensityc
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