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

Abstract

Abstract The full‐wave solution of multiple scattering among cylindrical vias in planar waveguides is modeled by using Foldy–Lax equations. By using the equivalence principle, the coupling among traces with many vias is decomposed into interior and exterior problems. For the interior problem, the dyadic Green's function is expressed in terms of vector cylindrical waves and waveguide modes. The Foldy–Lax equations of multiple scattering among the cylindrical vias are calculated. The waveguide modes are decoupled in the Foldy–Lax equations. The scattering matrix of coupling among vias is calculated. Numerical simulations of the scattering matrix are illustrated for several hundred vias. © 2001 John Wiley & Sons, Inc. Microwave Opt Technol Lett 31: 201–208, 2001.