A fast algorithm for the analysis of radiation and scattering from microstrip arrays on finite substrates

Abstract

The analysis of radiation and scattering from a multiregion () quasiplanar structure using the conentional method of moments MoM is computationally expensie. To circument this difficulty, a computa- tional scheme that supplements the classical MoM with the steepest descent fast-multipole algorithm is presented in this paper. This proposed methodology is particularly well suited to the analysis of finite microstrip antenna arrays. Q 1999 John Wiley & Sons, Inc. Microwave Opt Technol Lett 23: 306)310, 1999. . ory costs of a naive approach . The SDFMM achieves its efficiency by casting terms in an MoM matrix)vector product in the form of discrete, inhomogeneous plane-wave expan- sions arising from a representation of the homogeneous medium Green's function in terms of a steepest descent-path integral and a two-dimensional fast-multipole expansion. The presented fast iterative solution permits the analysis of scattering and radiation from large and complex structures within realistic CPU times on laboratory workstations. These structures include large microstrip patch arrays on finite substrates and ground planes modeled using 100,000 or more MoM basis functions.