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SHMagPowerL

Compute the power of the magnetic field for a single degree l given the Schmidt seminormalized magnetic potential spherical harmonic coefficients.

Usage

power = pyshtools.SHMagPowerL (c, a, l, [r])

Returns

power : float
The power at degree l

Parameters

c : float, dimension (2, l+1, l+1)
The Schmidt seminormalized spherical harmonic coefficients of the magnetic potential.
a : float
The reference radius of the magnetic potential spherical harmonic coefficients.
l : integer
The spherical harmonic degree for which the power will be calculated.
r : optional, float
The radius to evaluate the magnetic field.

Description

SHMagPowerL will calculate the power of the magnetic field at radius r for a single degree l given the magnetic potential Schmidt seminormalized spherical harmonic coefficients c evaluated at radius a. This is explicitly calculated as:

S(l) = (l+1) (a/r)**(2l+4) Sum_{m=0}^l [ c[0,l,m]**2 + c[1,l,m)**2 ].

See also

shmagpowerspectrum

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