Module wave 

The family of a sum, the scalar wave it adds up, and its angular factors.

Upstream: the lsumsw* (spherical) and lsumcw* (cylindrical) families of treams.lattice.

Enums

Family

The family of a lattice sum: spherical or cylindrical.

Functions

azimuthal 🔒

x + i y, or x - i y for negative m: the azimuthal factor whose |m|-th power carries the order of cylindrical waves and of the lattice polynomials.

negative_order_sign 🔒

(-1)^m for negative orders, relating H_m to H_|m|, and one otherwise.

solid_jet 🔒

The solid harmonic r^l P_l^m(cos theta) e^(i m phi) of the jet vector r, with its derivatives by the chain rule through the Cartesian gradient. Times harmonic_normalization(l, m) it is |r|^l Y_lm(r / |r|), a polynomial in r that stays regular at r = 0.