EM Topology Optimization For Waveguide Filter

Electromagnetic (EM) topology optimization aims to achieve the optimal shape and topology of EM structures by adjusting the distribution of materials within the design space. Conventional proxy-based optimization approaches encounter difficulties in addressing this objective due to the inability to correlate various shapes and topologies through adjustments in geometric parameters. In response to this challenge, this paper puts forward an efficient electromagnetic topology optimization method tailored for microwave device design. A novel integration approach is introduced, which combines the merits of Lanczos (MPVL) and Householder formulas. This integration technique streamlines the computational burden associated with solving extensive finite element matrix equations across multiple frequencies. Furthermore, a genetic algorithm(GA) with an inheritance model is incorporated to generate new computational formulas in each generation. These formulas are derived from common factors between the new and parent EM structures, leading to additional computational cost reductions. To illustrate the efficacy of the proposed technique, a microwave example is presented to highlight its practical applicability.