Modeling of multiple scattering among vias in planar waveguides using Foldy-Lax equations

The fill-wave solution of multiple scattering among cylindrical vias in pla nar waveguides is modeled by using Foldy-Lax equations. By using the equiva lence principle, the coupling among traces with many vias is decomposed int o interior and exterior problems. For the interior problem, the dyadic Gree n's function is expressed in terms of vector cylindrical waves and waveguid e modes. The Foldy-Lax equations of multiple scattering among the cylindric al vias are calculated. The waveguide modes are decoupled in the Foldy-Lax equations. The scattering matrix of coupling among vias is calculated. Nume rical simulations of the scattering matrix are illustrated for several hund red vias. (C) 2001 John Wiley & Sons, Inc.