Compute the power of a real function for a single spherical harmonic degree.
Usage
power
= SHPowerL (cilm
, l
)
Parameters
power
: output, real(dp)- Power of the function for a single spherical harmonic degree
l
. cilm
: input, real(dp), dimension (2,lmaxin
+1,lmaxin
+1)- The spherical harmonic coefficients of the function.
l
: input, integer(int32)- The spherical harmonic degree. This must be less than or equal to
lmaxin
.
Description
SHPowerL
will calculate the power of a function expressed in real 4-pi normalized spherical harmonics for a single degree l
. This is explicitly calculated as:
power = Sum_{i=1}^2 Sum_{m=0}^l cilm(i, l+1, m+1)**2
.
See also
shpowerdensityl, shcrosspowerl, shcrosspowerdensityl, shpowerspectrum, shpowerspectrumdensity, shcrosspowerspectrum, shcrosspowerspectrumdensity, shadmitcorr
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