Compute the power spectral density of a complex function.

Usage

call SHPowerSpectrumDensityC (cilm, lmax, pspectrum, exitstatus)

Parameters

cilm : input, complex*16, dimension (2, lmaxin+1, lmaxin+1)
The complex function expressed in complex spherical harmonics.
lmax : input, integer
The maximum spherical harmonic degree of the power spectral density. This must be less than or equal to lmaxin.
pspectrum : output, real*8, dimension (lmax+1)
The power spectral density of the function.
exitstatus : output, optional, integer
If present, instead of executing a STOP when an error is encountered, the variable exitstatus will be returned describing the error. 0 = No errors; 1 = Improper dimensions of input array; 2 = Improper bounds for input variable; 3 = Error allocating memory; 4 = File IO error.

Description

SHPowerSpectrumDensityC will calculate the power spectral density of a complex function expressed in complex 4-pi normalized spherical harmonics. For a given spherical harmonic degree l, this is calculated as:

pspectrum(l) = Sum_{i=1}^2 Sum_{m=0}^l | cilm(i, l+1, m+1) |**2 / (2l + 1).

See also

shpowerlc, shpowerdensitylc, shcrosspowerlc, shcrosspowerdensitylc, shpowerspectrumc, shcrosspowerspectrumc, shcrosspowerspectrumdensityc

Tags: fortran
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