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shcrosspowerdensitylc.pod

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SHCrossPowerDensityLC

SHCrossPowerDensityLC -

Compute the spectral cross-power density of two complex functions for a single degree L.

SYNOPSIS

COMPLEX*16 FUNCTION SHCrossPowerDensityLC (

C1, C2, L )

    COMPLEX*16

    C1(2, L+1, L+1), C2(2, L+1, L+1)

    INTEGER

    L

DESCRIPTION

SHCrossPowerDensityLC will calculate the spectral cross-power density of two functions expressed in complex spherical harmonics for a single degree L. This is explicitly calculated as:

Sum_{i=1}^2 Sum_{m=0}^L C1(i, L+1, m+1) * conjg[C2(i, L+1, m+1)] / (2L + 1).

ARGUMENTS

C1

(input) COMPLEX*16, DIMENSION (2, L+1, L+1)

The first function expressed in complex spherical harmonics.

C2

(input) COMPLEX*16, DIMENSION (2, L+1, L+1)

The second function expressed in complex spherical harmonics.

L

(input) INTEGER

The spherical harmonic degree for which the cross power density will be calculated.

SEE ALSO

shpowerlc(1), shpowerdensitylc(1), shcrosspowerlc(1), shpowerspectrumc(1), shpowerspectrumdensityc(1), shcrosspowerspectrumc(1), shcrosspowerspectrumdensityc(1), shadmitcorr(1)

http://shtools.ipgp.fr/

COPYRIGHT AND LICENSE

Copyright 2012 by Mark Wieczorek <wieczor@ipgp.fr>.

This is free software; you can distribute and modify it under the terms of the revised BSD license.