python-shgravcoeffs.md

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SHMagCoeffs class	spherical harmonics software package, spherical harmonic transform, legendre functions, multitaper spectral analysis, fortran, Python, gravity, magnetic field	mydoc_sidebar	python-shmagcoeffs.html		true

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Subclasses

Subclass name	Description
SHMagRealCoeffs	Real magnetic potential spherical harmonic coefficient class.

Initialization

Initialization method	Description
x = SHMagCoeffs.from_array()	Initialize using coefficients from an array.
x = SHMagCoeffs.from_random()	Initialize using random coefficients with a prescribed power spectrum.
x = SHMagCoeffs.from_zeros()	Initialize with coefficients set to zero.
x = SHMagCoeffs.from_file()	Initialize using coefficients from a file.

Class attributes

Attribute	Description
lmax	The maximum spherical harmonic degree of the coefficients.
coeffs	The raw coefficients with the specified normalization and phase conventions.
r0	The reference radius of the magnetic potential coefficients.
normalization	The normalization of the coefficients: '4pi', 'ortho', 'schmidt', or 'unnorm'.
csphase	Defines whether the Condon-Shortley phase is used (1) or not (-1).
mask	A boolean mask that is True for the permissible values of degree l and order m.
kind	The coefficient data type (only 'real' is permissible).
header	A list of values from the header line of the input file used to initialize the class.

Class methods

Method	Description
degrees()	Return an array listing the spherical harmonic degrees from 0 to lmax.
spectrum()	Return the spectrum of the function.
set_coeffs()	Set coefficients in-place to specified values.
change_ref()	Return a new class instance referenced to a different reference radius, r0.
rotate()	Rotate the coordinate system used to express the spherical harmonics coefficients and return a new class instance.
convert()	Return a new class instance using a different normalization convention.
pad()	Return a new class instance that is zero padded or truncated to a different lmax.
expand()	Calculate the three vector components of the magnetic field, the total field, and the magnetic potential, and return an SHMagGrid class instance.
tensor()	Calculate the 9 components of the magnetic field tensor and return an SHMagTensor class instance.
plot_spectrum()	Plot the spectrum as a function of spherical harmonic degree.
plot_spectrum2d()	Plot the spectrum of all spherical-harmonic coefficients.
to_array()	Return an array of spherical harmonics coefficients with a different normalization convention.
to_file()	Save raw spherical harmonic coefficients to a text or binary file.
copy()	Return a copy of the class instance.
info()	Print a summary of the data stored in the SHMagCoeffs instance.