Combined Field Integral Equation Based Theory of Characteristic Mode

TL;DR

This paper introduces a combined field integral equation approach to eliminate internal resonance issues in characteristic mode analysis of conducting objects, enabling more accurate and efficient computations for large surfaces.

Contribution

The paper proposes a novel combined field integral equation method that overcomes internal resonance problems in characteristic mode analysis, improving accuracy and computational robustness.

Findings

The method successfully removes internal resonance artifacts.

Numerical validation confirms improved stability and accuracy.

Applicable to electrically large closed conducting surfaces.

Abstract

Conventional electric field integral equation based theory is susceptible to the spurious internal resonance problem when the characteristic modes of closed perfectly conducting objects are computed iteratively. In this paper, we present a combined field integral equation based theory to remove the difficulty of internal resonances in characteristic mode analysis. The electric and magnetic field integral operators are shown to share a common set of non-trivial characteristic pairs (values and modes), leading to a generalized eigenvalue problem which is immune to the internal resonance corruption. Numerical results are presented to validate the proposed formulation. This work may offer efficient solutions to characteristic mode analysis which involves electrically large closed surfaces.