SHTWGJ

DCL:MATH 2:SHTLIB: Spherical Harmonic Functions: Explanation of Subroutines

4.3.20 SHTWGJ

1.

Function

Performs inverse Fourier transformation, which corresponds to the latter half of the inverse spectral transformation, over a specified wavenumber interval on a single specified meridian circle.

2.

Definition

Transforms wave data W^m_{(&phi j)} into grid data G_{(&lambda,&phi)} on a single specified meridian circle &phi j , over a specified wavenumber interval of M1 ≤|m| ≤ M2. See SHTW2G for equations used in the transformation.

3.

Call

SHTWGJ(MM,IM,M1,M2,WJ,GJ,WORK)

4.

Explanation of Parameters

MM (I) Input parameter. The cut-off wavenumber (M).

IM (I) Input parameter. 1/2 of the NEW partition number (I).

M1 (I) Input parameter. The minimum value of the wavenumber interval for transformation. (See Definition above.)

M2 (I) Input parameter. The maximum value of the wavenumber interval for transformation. (See Definition above.)

WJ (R) Input parameter. W^m_{(&phi j）} (For length and arrangement, see SHTSWJ.)

GJ (R) Output parameter. Grid data. An array of length 2*IM+1. (See Notes for arrangement.)

WORK (R) Working area initialized by SHTINT.

5.

Notes

(a): When GJ(-IM:IM) is declared in advance, G(&lambda_i,&phi_j) will be stored in GJ(I).

`MM`	`(I)`	Input parameter. The cut-off wavenumber (M).
`IM`	`(I)`	Input parameter. 1/2 of the NEW partition number (I).
`M1`	`(I)`	Input parameter. The minimum value of the wavenumber interval for transformation. (See Definition above.)
`M2`	`(I)`	Input parameter. The maximum value of the wavenumber interval for transformation. (See Definition above.)
`WJ`	`(R)`	Input parameter. W^m_{(&phi j）} (For length and arrangement, see `SHTSWJ`.)
`GJ`	`(R)`	Output parameter. Grid data. An array of length `2*IM+1`. (See Notes for arrangement.)
`WORK`	`(R)`	Working area initialized by `SHTINT`.