Argument-Recursive Computation of Legendre Polynomials with Applications in Computational Electromagnetics

We introduce an efficient t-recursive algorithm to compute Legendre polynomials P
_n
(t) and their derivatives P
_n
(t) on the interval (0, 1) with fixed order nisinN. The numerical properties are discussed and related examples in Computational Electromagnetics are given. In particular, this method is well suited to enhance a recently proposed spherical-multipole based time-domain near-to-far-field transformation algorithm