waveModeVerticalStructureAtIndex

Return wave vertical-structure factors at one vertical grid index.

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Declaration

 [F,dGdz] = waveModeVerticalStructureAtIndex(iZ)

Parameters

• iZ integer vertical grid index between 1 and Nz

Returns

• F wave \(F\) factors at z(iZ)
• dGdz wave \(\partial_zG\) factors at z(iZ)

Discussion

For a wave coefficient matrix Apm, the horizontal Fourier values of the corresponding \(F\) field and the vertical derivative of the corresponding \(G\) field at z(iZ) are

\[\widehat F(z_{iZ}) = \sum_j F_j(z_{iZ})A_{j\boldsymbol{k}}, \qquad \partial_z\widehat G(z_{iZ}) = \sum_j \partial_zG_j(z_{iZ})A_{j\boldsymbol{k}}.\]

Both returned arrays have dimensions [Nj Nkl]. Request only F when the derivative factors are not needed.