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MoM-based topology optimization method for planar metallic antenna design

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Abstract

The metallic antenna design problem can be treated as a problem to find the optimal distribution of conductive material in a certain domain. Although this problem is well suited for topology optimization method, the volumetric distribution of conductive material based on 3D finite element method (FEM) has been known to cause numerical bottlenecks such as the skin depth issue, meshed “air regions” and other numerical problems. In this paper a topology optimization method based on the method of moments (MoM) for configuration design of planar metallic antenna was proposed. The candidate structure of the planar metallic antenna was approximately considered as a resistance sheet with position-dependent impedance. In this way, the electromagnetic property of the antenna can be analyzed easily by using the MoM to solve the radiation problem of the resistance sheet in a finite domain. The topology of the antenna was depicted with the distribution of the impedance related to the design parameters or relative densities. The conductive material (metal) was assumed to have zero impedance, whereas the non-conductive material was simulated as a material with a finite but large enough impedance. The interpolation function of the impedance between conductive material and non-conductive material was taken as a tangential function. The design of planar metallic antenna was optimized for maximizing the efficiency at the target frequency. The results illustrated the effectiveness of the method.

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Acknowledgments

This project was supported by the National Natural Science Foundation of China (Grants 11332004, 11372063, and 11572073), 111 Project (Grant B14013), and the Fundamental Research Funds for the Central Universities (Grant DUT15ZD101).

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Authors and Affiliations

  1. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, 116024, China

    Shutian Liu, Qi Wang & Renjing Gao

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  1. Shutian Liu
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  2. Qi Wang
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  3. Renjing Gao
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Correspondence to Shutian Liu.

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Liu, S., Wang, Q. & Gao, R. MoM-based topology optimization method for planar metallic antenna design. Acta Mech. Sin. 32, 1058–1064 (2016). https://doi.org/10.1007/s10409-016-0584-0

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  • DOI: https://doi.org/10.1007/s10409-016-0584-0

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