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http://dx.doi.org/10.7734/COSEIK.2019.32.3.141

Topology Optimization of Beam Splitter for Multi-Beam Forming Based on the Phase Field Design Method  

Kim, Han-Min (Maritime Technology Research Institute, Agency for Defense Development)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.32, no.3, 2019 , pp. 141-147 More about this Journal
Abstract
In this paper, a systematic beam splitter design for multi-beam forming is proposed. The objective of this research is to a design beam splitter that splits and focuses scattering microwaves into intense beams in multiple directions. It is difficult to split multi-beam to non-specific directions with theoretical approaches. Therefore, instead of using transformation optics(TO), which is a widely used process for controlling electromagnetic wave propagation, we used a systematic design process called the phase field design method to obtain an optimal topological structure of beam splitter. The objective function is to maximize the norm of electric field of the target areas of each direction. To avoid island structure and obtain the structure in one body, volume constraint is added to the optimization problem by using augmented Lagrangian. Target frequency is set to X-band 10GHz. The optimal beam splitter performed well in multi-beam forming and the transported electric energy of target areas improved. A frequency dependency test was conducted in the X-band to determine effective frequency range.
Keywords
beam splitter; multi-beam; microwave; phase field design method; topology optimization;
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1 Andkjær, J., Sigmund, O. (2011) Topology Optimized Low-contrast All-dielectric Optical Cloak, Appl. Phys. Lett., 98(2), 021112.   DOI
2 Choi, J.S., Yamada, T., Izui, K., Nishiwaki, S., Yoo, J. (2011) Topology Optimization using a Reaction-diffusion Equation, Comput. Methods Appl. Mech. & Eng., 200(29), pp.2407-2420.   DOI
3 Jiang, W.X., Cui, T.J., Ma, H.F., Zhou, X.Y., Cheng, Q. (2008) Cylindrical-to-Plane-Wave Conversion Via Embedded Optical Transformation, Appl. Phys. Lett., 92(26), 261903.   DOI
4 Kim, H., Park, J., Seo, I., Yoo, J. (2016) Two-dimensional Dielectric Collimator Design and Its Experimental Verification for Microwave Beam Focusing, Appl. Phys. Lett., 109(15), 151902.   DOI
5 Kim, J., Shin, D., Choi, S., Yoo, D., Seo, I., Kim, K. (2015) Meta-lens Design with Low Permittivity Dielectric Materials Through Smart Transformation Optics, Appl. Phys. Lett., 107(10), 101906.   DOI
6 Pendry, J.B., Schurig, D., Smith, D.R. (2006) Controlling Electromagnetic Field, Science, 312 (5781), pp.1780-1782.   DOI
7 Schurig, D., Mock, J.J., Justice, B.J., Cummer, S.A., Pendry, J.B., Starr, A.F., Smith, D.R. (2006) Metamaterial Electromagnetic Cloak at Microwave Frequencies, Science, 314(5801), pp.977-980.   DOI
8 Seong, H.K., Yoo, J. (2016) Topological Design of the Film-Coupled Nanoparticle for the Field Intensity Enhancement over the Broadband Visible Spectrum, Appl. Phys. Lett., 108(20), 201904.   DOI
9 Shin, H., Heo, N., Park, J., Seo, I., Yoo, J. (2017) All-Dielectric Structure Development for Electromagnetic Wave Shielding using a Systematic Design Approach, Appl. Phys. Lett., 110(2), 021908.   DOI
10 Yamada, T., Izui, K., Nishiwaki, S., Takezawa, A. (2010) A Topology Optimization Method based on the Level Set Method Incorporating a Fictitious Energy, Comput. Methods Appl. Mech. Engrg., 199(45-48), pp.2876-2891.   DOI
11 Yang, Y., Zhao, X., Wang, T. (2009) Design of Arbitrarily Controlled Multi-Beam Antennas via Optical Trnasformation, J. Infrared Milli. & Terahz Waves, 30(337), pp.337-348.   DOI
12 Zhang, K., Ding, X., Wo, D., Meng, F., Wu, Q. (2016) Experimental Validation of Ultra-thin Metalenses for N-beam Emissions based on Transformation Optics, Appl. Phys. Lett., 108(5), 053508.   DOI