Module polarization 

Plane-wave polarization vectors, their wavevector derivatives and the normal wavenumber.

Upstream: treams.special.vpw_M, vpw_N and vpw_A, and treams.misc.wave_vec_z.

Structs

Direction 🔒

The direction of a wavevector (kx, ky, kz) as jets in its components: slots 0, 1 and 2 hold the derivatives with respect to kx, ky and kz (only the first N are kept).

Functions

algebraic_norm 🔒

The algebraic norm sqrt(Σ v^2) (principal root) of complex components.

field_value

The field polarization exp(i k·position) of a plane wave from its polarization vector, which polarization gives.

polarization

Plane-wave electric vector at the origin in treams normalization.

polarization_from_inputs 🔒

Chain the local Cartesian polarization derivative into solver parameters.

polarization_jet 🔒

The polarization vector of a plane wave with wavevector vector, as jets in the wavevector components.

transverse_values 🔒

The transverse norm sqrt(kx^2 + ky^2) (principal root) and the unit transverse direction (kx, ky) / norm, which is (cos phi, sin phi) for a real wavevector.

wave_vector_z

The normal wavenumber kz = sqrt(k^2 - kx^2 - ky^2) on the root with a nonnegative imaginary part, so the wave propagates or decays toward +z; zero at a cutoff.

wavenumbers 🔒

The wavenumber k, the transverse norm and the unit transverse direction of a finite wavevector with a nonzero algebraic norm.