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shfindlwin.1
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shfindlwin.1
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.\" Automatically generated by Pandoc 2.9.2
.\"
.TH "shfindlwin" "1" "2019-09-23" "Fortran 95" "SHTOOLS 4.6"
.hy
.SH SHFindLWin
.PP
Determine the spherical-harmonic bandwidth that is necessary to achieve
a certain concentration factor.
.SH Usage
.PP
\f[C]lwin\f[R] = SHFindLWin (\f[C]theta0\f[R], \f[C]m\f[R],
\f[C]alpha\f[R], \f[C]taper_number\f[R])
.SH Parameters
.TP
\f[B]\f[CB]lwin\f[B]\f[R] : output, integer
The spherical harmonic bandwidth
.TP
\f[B]\f[CB]theta0\f[B]\f[R] : input, real(dp)
The angular radius of the spherical cap in radians.
.TP
\f[B]\f[CB]m\f[B]\f[R] : input, integer
The angular order of the taper.
.TP
\f[B]\f[CB]alpha\f[B]\f[R] : input, real(dp)
The desired concentration factor of the window.
This must lie between 0 and 1.
.TP
\f[B]\f[CB]taper_number\f[B]\f[R] : optional, input, integer, default = 1
The taper number corresponding to the angular order \f[C]m\f[R].
The default is to use the first taper.
.SH Description
.PP
\f[C]SHFindLWin\f[R] 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
\f[C]m\f[R] will be used, but this can be modified by specifying the
optional argument \f[C]taper_number\f[R].
.SH References
.PP
Wieczorek, M.
A.
and F.
J.
Simons, Localized spectral analysis on the sphere, Geophys.
J.
Int., 162, 655-675, 2005.
.SH See also
.PP
computedg82, computedm, shreturntapers, shreturntapersm