Interpolator methods for efficient computation of layered media Green´s functions

Layered media appear in a wide variety of applications. For integral equation formulations involving layered media, the mixed potential approach of Michalski for layered media problems is usually adopted. It expresses fields in terms of a superposition of equivalent transmission line solutions in which the characteristic impedances are the wave impedances of TE and TM plane waves supported by the media, and the propagation constants are the longitudinal wave numbers. Here we briefly review both the non-periodic and periodic problems and focus on recent methods for accelerating computation of the associated Green´s functions and on efficiently interpolating them to further speed their calculation for moment methods. Results are presented to illustrate interpolation approaches for both periodic and non-periodic problems.