Calculate the spherical harmonic coefficients of a spherical cap.
Usage
call SphericalCapCoef (coef, theta, lmax, exitstatus)
Parameters
coef: output, real(dp), dimension(lmaxin+1)- The zonal spherical harmonic coefficients of a spherical cap centered over the north pole.
theta: input, real(dp)- The angular radius of the spherical cap in radians.
lmax: optional, input, integer(int32), default =lmaxin- The maximum spherical harmonic degree to calculate the spherical harmonic coefficients.
exitstatus: output, optional, integer(int32)- If present, instead of executing a STOP when an error is encountered, the variable exitstatus will be returned describing the error. 0 = No errors; 1 = Improper dimensions of input array; 2 = Improper bounds for input variable; 3 = Error allocating memory; 4 = File IO error.
Description
SphericalCapCoef will calculate the spherical harmonic coefficients of a spherical cap centered over the north pole. The zonal coefficients, returned in the array coef, are normalized such that the degree-0 term is 1, and are to be used with either the geodesy 4-pi normalized or orthonormalized spherical harmonics.