Compute the power of a real function for a single spherical harmonic degree.
power
= SHPowerL (cilm
, l
)
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
.
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
.
shpowerdensityl, shcrosspowerl, shcrosspowerdensityl, shpowerspectrum, shpowerspectrumdensity, shcrosspowerspectrum, shcrosspowerspectrumdensity, shadmitcorr