, Volume 12, Issue 6, pp 1717–1723 | Cite as

Inverse Design of Dielectric Resonator Cloaking Based on Topology Optimization

  • Yongbo DengEmail author
  • Zhenyu Liu
  • Yongmin Liu
  • Yihui Wu


In many applications, a cloaked resonator is highly desired, which can harvest and maximize the energy within the resonator without being detected. This paper presents the resonator cloaking achieved by topology optimization-based inverse design methodology. The resonator cloaking is inversely designed by solving the topology optimization problem with minimizing the ratio of the scattering field energy outside the cloak and the cloaked resonating field energy. By inversely designing the resonator cloaking with relative permittivity 2 for both the resonator and cloak, the topology optimization-based inverse design methodology is demonstrated, where the incident angle sensitivity is considered to derive incident angle insensitive design. Then, the proposed methodology is applied for the cases with resonator and cloak materials chosen from dielectrics with low, moderate and high permittivity, respectively. The derived results demonstrate that the resonator cloaking can be categorized into three types, which are the Fabry-Pérot resonance cloaking, Mie resonance cloaking and hybrid resonance cloaking.


Resonator cloaking Inverse design Topology optimization Fabry-pérot resonance cloaking Mie resonance cloaking Hybrid resonance cloaking 



This work is supported by the National Natural Science Foundation of China (No. 51405465, 51275504), the National High Technology Program of China (No. 2015AA042604), the Science and Technology Development Plan of Jilin Province and Changchun City (No. 20140201011GX, 20140519007JH, 15SS12). The authors are grateful to Professor K. Svanberg for the supply of the MMA codes. The authors are also grateful to the reviewers’ kind attention and valuable suggestions.


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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  • Yongbo Deng
    • 1
    Email author
  • Zhenyu Liu
    • 2
  • Yongmin Liu
    • 3
    • 4
  • Yihui Wu
    • 1
  1. 1.State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics (CIOMP)Chinese Academy of SciencesChangchunChina
  2. 2.Changchun Institute of Optics, Fine Mechanics and Physics (CIOMP)Chinese Academy of SciencesChangchunChina
  3. 3.Department of Mechanical and Industrial EngineeringNortheastern UniversityBostonUSA
  4. 4.Department of Electrical and Computer EngineeringNortheastern UniversityBostonUSA

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