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shpowerlc.3
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shpowerlc.3
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.\" Automatically generated by Pandoc 3.1.3
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.el \{\
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.TH "shpowerlc" "1" "2021-02-15" "Fortran 95" "SHTOOLS 4.11"
.hy
.SH SHPowerLC
.PP
Compute the power of a complex function for a single spherical harmonic
degree.
.SH Usage
.PP
\f[V]power\f[R] = SHPowerLC (\f[V]cilm\f[R], \f[V]l\f[R])
.SH Parameters
.TP
\f[V]power\f[R] : output, real(dp)
Power of the complex function for spherical harmonic degree \f[V]l\f[R].
.TP
\f[V]cilm\f[R] : input, complex(dp), dimension (2, \f[V]lmaxin\f[R]+1, \f[V]lmaxin\f[R]+1)
The complex spherical harmonics of the complex function.
.TP
\f[V]l\f[R] : input, integer(int32)
The spherical harmonic degree.
This must be less than or equal to \f[V]lmaxin\f[R].
.SH Description
.PP
\f[V]SHPowerLC\f[R] will calculate the power of a complex function
expressed in complex 4-pi normalized spherical harmonics for a single
spherical harmonic degree \f[V]l\f[R].
This is calculated as:
.PP
\f[V]power = Sum_{i=1}\[ha]2 Sum_{m=0}\[ha]l | cilm(i, l+1, m+1) |**2\f[R].
.SH See also
.PP
shpowerdensitylc, shcrosspowerlc, shcrosspowerdensitylc,
shpowerspectrumc, shpowerspectrumdensityc, shcrosspowerspectrumc,
shcrosspowerspectrumdensityc