ITERATIVE SCHEME FOR COMPUTING EXACTLY THE TOTAL FIELD PROPAGATING INDIELECTRIC STRUCTURES OF ARBITRARY SHAPE

We present a new approach to the computation of an electrical field pr opagating in a dielectric structure. We use the Green's-function techn ique to compute an exact solution of the wave equation. No paraxial ap proximation is made, and our method can handle any kind of dielectric medium (air, semiconductor, metal, etc.). An original iterative numeri cal scheme based on the parallel use of Lippman-Schwinger and Dyson's equations is demonstrated. The influence of the numerical parameters o n the accuracy of the results is studied in detail, and the high preci sion and stability of the method are assessed. Examples for one and tw o dimensions establish the versatility of the method and its ability t o handle structures of arbitrary shape. The application of the method to the computation of eigenmode spectra for dielectric structures is i llustrated.