legendre_normalized_angular.m File Reference

Functions
function	legendre_normalized_angular (in theta, in lmax)
	Normalized associated Legendre function for complex arguments. More...

Function Documentation

legendre_normalized_angular()

function legendre_normalized_angular	(	in	theta,
		in	lmax
	)

Normalized associated Legendre function for complex arguments.

The algorithm to compute the functions was taken from "Light Scattering by Systems of Particles, Null-Field Method with Discrete Sources: Theory and Programs" by A. Doicu, T. Wriedt, and Y.A. Eremin

For the normalization convention, see the theory section.

Parameters

theta	(float array): polar angles
lmax	(int): maximal degree l of P_l^m

Return values

plm	(cell array): plm{l+1,m+1} contains P_l^m(cos(theta)).