Synthesis Method for Obtaining Characteristic Modes of Multi-Structure Systems via independent Structure T-Matrix

TL;DR

This paper introduces a new efficient method for characteristic mode decomposition of multi-structure systems, enabling synthesis from independent simulations and significantly reducing computational effort.

Contribution

The proposed approach leverages vector spherical wavefunction matrices to synthesize characteristic modes from individual structures, streamlining the translation process for improved efficiency.

Findings

Achieves significant computational efficiency improvements.

Accurately synthesizes composite system modes from individual structures.

Validates method with numerical examples demonstrating practical advantages.

Abstract

This paper presents a novel and efficient method for characteristic mode decomposition in multi-structure systems. By leveraging the translation and rotation matrices of vector spherical wavefunctions, our approach enables the synthesis of a composite system's characteristic modes using independently computed simulations of its constituent structures. The computationally intensive translation process is simplified by decomposing it into three streamlined sub-tasks: rotation, z-axis translation, and inverse rotation, collectively achieving significant improvements in computational efficiency. Furthermore, this method facilitates the exploration of structural orientation effects without incurring additional computational overhead. A series of illustrative numerical examples is provided to validate the accuracy of the proposed method and underscore its substantial advantages in both computational efficiency and practical applicability.