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shpowerdensitylc.pod

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SHPowerDensityLC

SHPowerDensityLC -

Compute the power spectral density of a complex function for a single degree L.

SYNOPSIS

REAL*8 FUNCTION SHPowerDensityLC (

C, L )

    COMPLEX*16

    C(2, L+1, L+1)

    INTEGER

    L

DESCRIPTION

SHPowerLC will calculate the power spectral density of a function expressed in complex spherical harmonics for a single degree L. This is explicitly calculated as:

Sum_{i=1}^2 Sum_{m=0}^L | C(i, L+1, m+1) |**2 / (2L + 1) .

ARGUMENTS

C

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

The function expressed in complex spherical harmonics.

L

(input) INTEGER

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

SEE ALSO

shpowerlc(1), shcrosspowerlc(1), shcrosspowerdensitylc(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.