Characteristic Mode Analysis of Acoustic Scatterers

TL;DR

This paper establishes a direct link between the transition matrix and boundary element method operators, enabling characteristic mode analysis for acoustic scatterers to improve scattering analysis, inverse problem solving, and excitation design.

Contribution

It introduces a novel formulation connecting the transition matrix with boundary element operators for characteristic mode analysis.

Findings

Enables calculation of characteristic modes through eigenvalue problems.

Facilitates orthogonality properties for scattering and inverse problems.

Supports design of excitation fields for acoustic scattering.

Abstract

The explicit connection between the transition matrix and boundary element method integral operators is formulated. This enables the calculation of characteristic modes via eigenvalue problems involving either set of operators, leading to convenient orthogonality properties facilitating scattering analysis, solution of inverse problems, and the design of excitation fields.