Density-Based Topology Optimization for Characteristic Modes Manipulation

TL;DR

This paper introduces a density-based topology optimization method to manipulate characteristic modes of conducting surfaces, enabling efficient control of modal properties while maintaining computational efficiency.

Contribution

It develops a novel framework that separates geometry and feeding synthesis, allowing optimized modal quantities with gradient-based updates.

Findings

Effective control of single-mode resonance.

Optimization of modal Q-factor demonstrated.

Multi-mode optimization capabilities shown.

Abstract

A density-based topology optimization framework is developed to manipulate characteristic modes of conducting surfaces. The adjoint sensitivity analysis provides an efficient computation of the material gradient utilized by the local optimizer to update the material distribution. The modal approach naturally separates geometry and feeding synthesis, demonstrating its ability to optimize modal quantities while maintaining computational efficiency through gradient-based updates. The framework's properties and performance are illustrated through several examples, including single-mode resonance control, modal Q-factor, and multi-mode optimization.