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Volume 14, Issue 2
Isotropic Cloak Materials Design Based on the Numerical Optimization Method of the Inverse Medium Problem

Wei Yang & Tiancheng Wang

DOI: 10.4208/aamm.OA-2021-0071

Adv. Appl. Math. Mech., 14 (2022), pp. 442-468.

Published online: 2022-01

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  • Abstract

In recent years, various kinds of cloak devices were designed by transformation optics, but these cloak metamaterials are anisotropic and difficult to manufacture. In this paper, we designed the isotropic cloak metamaterials based on the numerical method of the optimization theory to the inverse medium problem. This method has universality, and it is not limited by the shape and type of the cloak device. This isotropic material is easier to manufacture in practice than anisotropic material. A large number of numerical results show the effectiveness of the method.

  • Keywords

Inverse medium problem, isotropic cloak materials, finite element simulations.

  • AMS Subject Headings

35R30, 65N30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-14-442, author = {Yang , Wei and Wang , Tiancheng}, title = {Isotropic Cloak Materials Design Based on the Numerical Optimization Method of the Inverse Medium Problem}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2022}, volume = {14}, number = {2}, pages = {442--468}, abstract = {

In recent years, various kinds of cloak devices were designed by transformation optics, but these cloak metamaterials are anisotropic and difficult to manufacture. In this paper, we designed the isotropic cloak metamaterials based on the numerical method of the optimization theory to the inverse medium problem. This method has universality, and it is not limited by the shape and type of the cloak device. This isotropic material is easier to manufacture in practice than anisotropic material. A large number of numerical results show the effectiveness of the method.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2021-0071}, url = {http://global-sci.org/intro/article_detail/aamm/20205.html} }
TY - JOUR T1 - Isotropic Cloak Materials Design Based on the Numerical Optimization Method of the Inverse Medium Problem AU - Yang , Wei AU - Wang , Tiancheng JO - Advances in Applied Mathematics and Mechanics VL - 2 SP - 442 EP - 468 PY - 2022 DA - 2022/01 SN - 14 DO - http://doi.org/10.4208/aamm.OA-2021-0071 UR - https://global-sci.org/intro/article_detail/aamm/20205.html KW - Inverse medium problem, isotropic cloak materials, finite element simulations. AB -

In recent years, various kinds of cloak devices were designed by transformation optics, but these cloak metamaterials are anisotropic and difficult to manufacture. In this paper, we designed the isotropic cloak metamaterials based on the numerical method of the optimization theory to the inverse medium problem. This method has universality, and it is not limited by the shape and type of the cloak device. This isotropic material is easier to manufacture in practice than anisotropic material. A large number of numerical results show the effectiveness of the method.

Wei Yang & Tiancheng Wang. (2022). Isotropic Cloak Materials Design Based on the Numerical Optimization Method of the Inverse Medium Problem. Advances in Applied Mathematics and Mechanics. 14 (2). 442-468. doi:10.4208/aamm.OA-2021-0071
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