legendre_normalized_trigon.m File Reference

Functions
function	legendre_normalized_trigon (in ct, in st, in lmax)
	Normalized associated Legendre function for complex arguments. More...

Function Documentation

legendre_normalized_trigon()

function legendre_normalized_trigon	(	in	ct,
		in	st,
		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

ct	(float array): cos(theta)
st	(float array): sin(theta)
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)).