Topology optimization of dielectric substrates for filters and antennas using SIMP

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 formulate...

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Bibliographic Details
Published inArchives of computational methods in engineering Vol. 11; no. 4; pp. 355 - 388
Main Authors Kiziltas, G., Kikuchi, N., Volakis, J. L., Halloran, J.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Nature B.V 01.01.2004
Subjects
Bandwidths
Complex variables
Conductors
Design optimization
Design techniques
Finite element analysis
Finite element method
Isotropic material
Linear programming
Metamaterials
Optimization
Patch antennas
Performance enhancement
Performance evaluation
Sensitivity analysis
Studies
Substrates
Topology
Topology optimization
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ISSN1134-3060
1886-1784
DOI10.1007/BF02736229

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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.[PUBLICATION ABSTRACT]
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ISSN:1134-3060
1886-1784
DOI:10.1007/BF02736229