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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
= SHMagPowerL (c
, a
, r
, l
)
Parameters
power
: output, real*8- The power at degree
l
c
: input, real*8, dimension (2, l+1, l+1)- The Schmidt seminormalized spherical harmonic coefficients of the magnetic potential.
a
: input, real*8- The reference radius of the magnetic potential spherical harmonic coefficients.
r
: input, real*8- The radius to evaluate the magnetic field.
l
: input, integer- The spherical harmonic degree for which the power will be calculated.
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(1, l+1, m+1)**2 + c(2, l+1, m+1)**2 ].
See also
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