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SHCilmToCindex()
spherical harmonics software package, spherical harmonic transform, legendre functions, multitaper spectral analysis, Python, gravity, magnetic field
mydoc_sidebar
pyshcilmtocindex.html
python
false
pydoc

Convert a three-dimensional array of spherical harmonic coefficients to a two-dimensional indexed array.

Usage

cindex = SHCilmToCindex (cilm, [lmax])

Returns

cindex : float, dimension (2, (lmax+1)*(lmax+2)/2) : The indexed output spherical harmonic coefficients.

Parameters

cilm : float, dimension (2, lmaxin+1, lmaxin+1) : The input spherical harmonic coefficients. cilm[0,:,:] and cilm[1,:,:] correspond to either the real and imaginary components, or cosine and sine coefficients, respectively.

lmax : optional, integer, default = lmaxin : Maximum degree of input spherical harmonics to convert.

Description

SHCilmToCindex will convert a three-dimensional array of spherical harmonic coefficients to a two-dimensional indexed array. The degree l and order m corresponds to the index l*(l+1)/2+m.