SHCindexToCilm()

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

Usage

cilm = SHCindexToCilm (cindex, [lmax])

Returns

cilm : float, dimension (2, lmax+1, lmax+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.

Parameters

cindex : float, dimension (2, (lmaxin+1)*(lmaxin+2)/2)

The indexed spherical harmonic coefficients.

lmax : optional, integer, default = lmaxin

The maximum degree of the output coefficients to convert.

Description

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