treams.special.vpw_N

treams.special.vpw_N(kx, ky, kz, x, y, z) = <ufunc 'vpw_N'>

Vector plane wave N

The vector plane wave is defined by

\[\boldsymbol N_{\boldsymbol k}(\boldsymbol r) = - \boldsymbol{\hat \theta}_{\boldsymbol k} \mathrm e^{\mathrm i \boldsymbol k \boldsymbol r}.\]

This function is describing a transverse solution to the vectorial Helmholtz wave equation. This is often used to describe a transverse magnetic (TM) wave.

Parameters:

• kx (float or complex, array_like) – X component of the wave vector

• ky (float or complex, array_like) – Y component of the wave vector

• kz (float or complex, array_like) – Z component of the wave vector

• x (float, array_like) – Y coordinate

• y (float, array_like) – X coordinate

• z (float, array_like) – Z coordinate

Returns:

complex, 3-array