Module polar 

Cylindrical translation coefficients in polar coordinates, of one order difference and of one mode pair, with analytic pullbacks.

Upstream: treams.special.tl_vcw, tl_vcw_r and treams.cw.translate.

Structs

PolarTranslationResidual

What polar_translation_array saves for its pullback: the orders, the radial kind and the four arguments, each stored once when it is one value for all outputs.

Functions

cylindrical_jet 🔒

polar_translation with the derivatives with respect to its N leading arguments. A forward (N = 0) uses fixed_phase when given, the phase shared by a radial sweep.

cylindrical_phase 🔒

The phase exp(i (order phi + kz z)) of a cylindrical translation.

cylindrical_seeded 🔒

One kernel with value-only, coordinate or directional seeds.

polar_translation

Cylindrical translation in (k_rho*rho, phi, z, kz) with a fixed order difference, the kernel of tl_vcw. The two axial labels must move together; unequal labels are uncoupled.

polar_translation_array

Evaluate a broadcast array of cylindrical polar translation coefficients; orders holds order differences, as in polar_translation.

polar_translation_pullback 🔒

The gradients of the radial argument, azimuth, axial position and common axial wavenumber.

tl_vcw

Cylindrical translation coefficient of the mode pair (qz, m) to (kz, mu).

translate

Cylindrical translation coefficient of one polarized mode pair.