Concept of marco-pixel formulation using non-uniform fourier transform

Abstract

A multi-grid formulation of Green’s functions in the spatial domain based on the idea of partitioning overall electromagnetic simulation domain into macro-pixels is proposed. The concept of macro-pixel is introduced, based on physical considerations, as extension of the notion of pixel with possible spatial variations within its sub-domain, to capture both lower and higher order variations. Interactions between macro-pixels are derived to evaluate higher order and lower order modal couplings as function of normalized separation distances. The interactions between macro-pixels are efficiently computed using an original NUFFT (Non-Uniform Fast Fourier Transform) which renders possible systematic use of multi-grid space stepping. Attributes of observed coupling ranges and potential control of truncation orders at macro-pixel levels are very attractive for hybridization with time domain formulations.