SHTWGM

DCL:MATH2:SHTLIB: Spherical Harmonic Functions: Explanation of Subroutines

4.3.14 SHTWGM

1.

Function

Performs the inverse Legendre transformation, which corresponds to the latter half of the inverse spectral transformation, for a single specified wavenumber component.

2.

Definition

Transforms wave data W^m_(&phi) into grid data G_(&lambda_,_&phi） only for a single specified wavenumber component m=M (>0).. See SHTW2G for equations of transformation.

3.

Call

SHTWGM(MM,JM,IM,M,WR,WI,G,WORK)

4.

Explanation of Parameters

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

JM (I) Input parameter. 1/2 of the NS partition number (J)

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

M (I) Input parameter. Specifies the wavenumber to transform. (See above definition.)

WR (R) Input parameter. The floating-point part of W^m_(&phi). (For length and arrangement, see SHTSWM.)

WI (R) Input parameter. The imaginary part of W^m₍_&phi). (For length and arrangement, see SHTSWM.)

G (R) Output parameter. Grid data. (For length and arrangement, see SHTW2G.)

WORK (R) Working area initialized by SHTINT.

5.

Notes

(a): For M=0 (zonal component), use SHTSWZ.

`MM`	`(I)`	Input parameter. The cut-off wavenumber (M).
`JM`	`(I)`	Input parameter. 1/2 of the NS partition number (J)
`IM`	`(I)`	Input parameter. 1/2 of the EW partition number (I)
`M`	`(I)`	Input parameter. Specifies the wavenumber to transform. (See above definition.)
`WR`	`(R)`	Input parameter. The floating-point part of W^m_(&phi). (For length and arrangement, see `SHTSWM`.)
`WI`	`(R)`	Input parameter. The imaginary part of W^m₍_&phi). (For length and arrangement, see `SHTSWM`.)
`G`	`(R)`	Output parameter. Grid data. (For length and arrangement, see `SHTW2G`.)
`WORK`	`(R)`	Working area initialized by `SHTINT`.