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shcrosspowerlc.1
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shcrosspowerlc.1
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.\" Automatically generated by Pandoc 2.0.3
.\"
.TH "shcrosspowerlc" "1" "2016\-12\-15" "Fortran 95" "SHTOOLS 4.1"
.hy
.SH SHCrossPowerLC
.PP
Compute the cross\-power of two complex functions for a single spherical
harmonic degree.
.SH Usage
.PP
\f[C]cpower\f[] = SHCrossPowerLC (\f[C]cilm1\f[], \f[C]cilm2\f[],
\f[C]l\f[])
.SH Parameters
.TP
.B \f[C]cpower\f[] : output, complex*16
Cross power of the two complex functions for spherical harmonic degree
\f[C]l\f[].
.RS
.RE
.TP
.B \f[C]cilm1\f[] : input, complex*16, dimension (2, \f[C]lmaxin1\f[]+1, \f[C]lmaxin1\f[]+1)
The first complex function expressed in complex spherical harmonics.
.RS
.RE
.TP
.B \f[C]cilm2\f[] : input, complex*16, dimension (2, \f[C]lmaxin2\f[]+1, \f[C]lmaxin2\f[]+1)
The second complex function expressed in complex spherical harmonics.
.RS
.RE
.TP
.B \f[C]l\f[] : input, integer
The spherical harmonic degree.
This must be less than or equal to the minimum of \f[C]lmaxin1\f[] and
\f[C]lmaxin2\f[].
.RS
.RE
.SH Description
.PP
\f[C]SHCrossPowerLC\f[] will calculate the spectral cross\-power of two
complex functions expressed in complex 4\-pi normalized spherical
harmonics for a single spherical harmonic degree \f[C]l\f[].
This is calculated as:
.PP
\f[C]cpower\ =\ Sum_{i=1}^2\ Sum_{m=0}^l\ cilm1(i,\ l+1,\ m+1)\ *\ conjg[cilm2(i,\ l+1,\ m+1)]\f[].
.SH See also
.PP
shpowerlc, shpowerdensitylc, shcrosspowerdensitylc, shpowerspectrumc,
shpowerspectrumdensityc, shcrosspowerspectrumc,
shcrosspowerspectrumdensityc