Generalized Scattering Matrix of Antenna: Moment Solution, Compression Storage and Application

TL;DR

This paper introduces a new computational approach for generalized scattering matrices of antennas using integral equations and moments, with efficient data compression and fast prediction capabilities for antenna array design.

Contribution

It develops a novel GSM computation method based on integral equations, proposes an efficient compression scheme, and introduces a rapid iterative prediction process for antenna arrays.

Findings

Accurate GSM computation validated against full-wave simulations.

Effective eigencomponent-based compression reduces memory usage.

Fast iterative prediction significantly improves computational speed.

Abstract

This paper presents a computation method of generalized scattering matrix (GSM) based on integral equations and the method of moments (MoM), specifically designed for antennas excited through waveguide ports. By leveraging two distinct formulations -- magnetic-type and electric-type integral equations -- we establish concise algebraic relations linking the GSM directly to the impedance matrices obtained from MoM. To address practical challenges in storing GSM data across wide frequency bands and multiple antenna scenarios, we propose a efficient compression scheme. This approach alleviates memory demands by selectively storing the dominant eigencomponents that govern scattering behavior. Numerical validation examples confirm the accuracy of our method by comparisons with full-wave simulation results. Furthermore, we introduce an efficient iterative procedure to predict antenna array performance, highlighting remarkable improvements in computational speed compared to conventional numerical methods. These results collectively demonstrate the GSM framework's strong potential for antenna-array design processes.