Compute the cross-power of two real functions for a single spherical harmonic degree.
Usage
cpower = SHCrossPowerL (cilm1, cilm2, l)
Parameters
cpower: output, real(dp)- The cross power of the two functions for spherical harmonic degree
l. cilm1: input, real(dp), dimension (2,lmaxin1+1,lmaxin1+1)- The spherical harmonic coefficients of the first function.
cilm2: input, real(dp), dimension (2,lmaxin2+1,lmaxin2+1)- The spherical harmonic coefficients of the second function.
l: input, integer(int32)- The spherical harmonic degree. This must be less than or equal to the minimum of
lmaxin1andlmaxin2.
Description
SHCrossPowerL will calculate the cross-power of two functions expressed in 4-pi normalized spherical harmonics for a single spherical harmonic degree l. This is explicitly calculated as:
cpower = Sum_{i=1}^2 Sum_{m=0}^l cilm1(i, l+1, m+1) * cilm2(i, l+1, m+1).
See also
shpowerl, shpowerdensityl, shcrosspowerdensityl, shpowerspectrum, shpowerspectrumdensity, shcrosspowerspectrum, shcrosspowerspectrumdensity, shadmitcorr
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