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shpowerdensityl.1
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shpowerdensityl.1
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.\" Automatically generated by Pandoc 2.7.3
.\"
.TH "shpowerdensityl" "1" "2019-09-17" "Fortran 95" "SHTOOLS 4.5"
.hy
.SH SHPowerDensityL
.PP
Compute the power spectral density of a real function for a single
spherical harmonic degree.
.SH Usage
.PP
\f[C]psd\f[R] = SHPowerDensityL (\f[C]cilm\f[R], \f[C]l\f[R])
.SH Parameters
.TP
.B \f[C]psd\f[R] : output, real(dp)
Power spectral density of the function for the spherical harmonic degree
\f[C]l\f[R].
.TP
.B \f[C]cilm\f[R] : input, real(dp), dimension (2, \f[C]lmaxin\f[R]+1, \f[C]lmaxin\f[R]+1)
The function expressed in real spherical harmonics.
.TP
.B \f[C]l\f[R] : input, integer
The spherical harmonic degree.
This must be less than or equal to \f[C]lmaxin\f[R].
.SH Description
.PP
\f[C]SHPowerDensityL\f[R] will calculate the power spectral density of a
function expressed in real 4-pi normalized spherical harmonics for a
single degree \f[C]l\f[R].
This is explicitly calculated as:
.PP
\f[C]psd = Sum_{i=1}\[ha]2 Sum_{m=0}\[ha]l cilm(i, l+1, m+1)**2 / (2l + 1)\f[R].
.SH See also
.PP
shpowerl, shcrosspowerl, shcrosspowerdensityl, shpowerspectrum,
shpowerspectrumdensity, shcrosspowerspectrum,
shcrosspowerspectrumdensity, shadmitcorr