Determine the spherical-harmonic bandwidth that is necessary to achieve a certain concentration factor.
lwin = SHFindLWin (theta0, m, alpha, taper_number)
lwin : output, integer
: The spherical harmonic bandwidth
theta0 : input, real*8
: The angular radius of the spherical cap in radians.
m : input, integer
: The angular order of the taper.
alpha : input, real*8
: The desired concentration factor of the window. This must lie between 0 and 1.
taper_number : optional, input, integer, default = 1
: The taper number corresponding to the angular order m. The default is to use the first taper.
SHFindLWin will determine the spherical harmonic bandwidth that is required for a window of the spherical-cap concentration problem to achive a certain concentration factor. By default, the first taper corresponding to the angular order m will be used, but this can be modified by specifying the optional argument taper_number.
Wieczorek, M. A. and F. J. Simons, Localized spectral analysis on the sphere, Geophys. J. Int., 162, 655-675.