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Topology optimization of dielectric substrates for filters and antennas using SIMP

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Summary

In this paper a novel design procedure based on the integration of full wave Finite Element Analysis (FEA) and a topology design method employing Sequential Linear Programming (SLP) is introduced. The employed design method is the Solid Isotropic Material with Penalization (SIMP) technique formulated as a general non-linear optimization problem. SLP is used to solve the optimization problem with the sensitivity analysis based on the adjoint variable method for complex variables. A key aspect of the proposed design method is the integration of optimization tools with a fast simulator based on the finite element-boundary integral (FE-BI) method. The capability of the design method is demonstrated by two design examples. First, we developed a metamaterial substrate with arbitrary material composition and subject to a pre-specified antenna bandwidth enhancement. The design is verified and its performance is evaluated via measurements and simulation. As a second example, the material distribution for a Thermo-Photovoltaic (TPV) filter subject to pre-specified bandwidth and compactness criteria is designed. Results show that the proposed design method is capable of designing full three-dimensional volumetric material textures and printed conductor topologies for filters and patch antennas with enhanced performance.

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  1. ElectroScience Lab., ECE Dept., The Ohio State University, 43212, Columbus, OH, USA

    G. Kiziltas & J. L. Volakis

  2. The University of Michigan, 48109-2121, Ann Arbor, MI, USA

    N. Kikuchi & J. Halloran

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  1. G. Kiziltas
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Kiziltas, G., Kikuchi, N., Volakis, J.L. et al. Topology optimization of dielectric substrates for filters and antennas using SIMP. ARCO 11, 355–388 (2004). https://doi.org/10.1007/BF02736229

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