Method of Moments and T-matrix Hybrid

TL;DR

This paper introduces a hybrid computational scheme combining the method of moments and T-matrix methods to efficiently model electromagnetic interactions of complex and large objects, with applications in biomedical and antenna design.

Contribution

The paper develops a novel hybrid method that leverages the strengths of both approaches, including a new evaluation of the transition matrix and characteristic mode decomposition with enhanced precision.

Findings

Efficient modeling of complex objects using the hybrid method.

Accurate transition matrix evaluation for arbitrarily shaped objects.

Fourfold increase in numerical precision for mode decomposition.

Abstract

Hybrid computational schemes combining the advantages of a method of moments formulation of a field integral equation and T-matrix method are developed in this paper. The hybrid methods are particularly efficient when describing the interaction of electrically small complex objects and electrically large objects of canonical shapes such as spherical multi-layered bodies where the T-matrix method is reduced to the Mie series making the method an interesting alternative in the design of implantable antennas or exposure evaluations. Method performance is tested on a spherical multi-layer model of the human head. Along with the hybrid method, an evaluation of the transition matrix of an arbitrarily shaped object is presented and the characteristic mode decomposition is performed, exhibiting fourfold numerical precision as compared to conventional approaches.