Close Search Advanced
Journals
Resources
About Us
Open Access

Mathematical Simulation of Cloaking Metamaterial Structures

Mathematical Simulation of Cloaking Metamaterial Structures
Preview
Add to basket

Year:    2012

Author:    Jichun Li, Yunqing Huang

Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 1 : pp. 93–101

Abstract

In this paper we present a rigorous derivation of the material parameters for both the cylinder and rectangle cloaking structures. Numerical results using these material parameters are presented to demonstrate the cloaking effect.

Submit Article

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.10-m11109

Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 1 : pp. 93–101

Published online:    2012-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    Maxwell's equations metamaterial finite element method cloaking structures.

Author Details

Jichun Li

Yunqing Huang

  1. Development of an efficient algorithm to analyze the elastic wave in acoustic metamaterials

    He, Z. C. | Li, Eric | Wang, G. | Li, G. Y. | Xia, Zhaowang

    Acta Mechanica, Vol. 227 (2016), Iss. 10 P.3015

    https://doi.org/10.1007/s00707-016-1664-8 [Citations: 35]

  2. Improved Analysis and Simulation of a Time-Domain Carpet Cloak Model

    Li, Jichun | Meng, Chen | Huang, Yunqing

    Computational Methods in Applied Mathematics, Vol. 19 (2019), Iss. 2 P.359

    https://doi.org/10.1515/cmam-2018-0001 [Citations: 2]

  3. Numerical simulations of cloaking problems using a DPG method

    Demkowicz, L. | Li, Jichun

    Computational Mechanics, Vol. 51 (2013), Iss. 5 P.661

    https://doi.org/10.1007/s00466-012-0744-4 [Citations: 12]

  4. An adaptive edge finite element method for electromagnetic cloaking simulation

    Li, Jichun | Huang, Yunqing | Yang, Wei

    Journal of Computational Physics, Vol. 249 (2013), Iss. P.216

    https://doi.org/10.1016/j.jcp.2013.04.026 [Citations: 18]

  5. Inverse problems and invisibility cloaking for FEM models and resistor networks

    Lassas, Matti | Salo, Mikko | Tzou, Leo

    Mathematical Models and Methods in Applied Sciences, Vol. 25 (2015), Iss. 02 P.309

    https://doi.org/10.1142/S0218202515500116 [Citations: 7]
  6. Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials

    Introduction to Metamaterials

    Li, Jichun | Huang, Yunqing

    2013

    https://doi.org/10.1007/978-3-642-33789-5_1 [Citations: 0]

  7. Assembling hydrodynamic cloaks to conceal complex objects from drag

    Park, Juhyuk | Song, Young Seok

    Journal of Fluids and Structures, Vol. 98 (2020), Iss. P.103136

    https://doi.org/10.1016/j.jfluidstructs.2020.103136 [Citations: 14]
  8. Advances in Mathematical Methods and High Performance Computing

    Analysis and Simulation of Time-Domain Elliptical Cloaks by the Discontinuous Galerkin Method

    Huang, Yunqing | Meng, Chen | Li, Jichun

    2019

    https://doi.org/10.1007/978-3-030-02487-1_20 [Citations: 0]

  9. Making waves round a structured cloak: lattices, negative refraction and fringes

    Colquitt, D. J. | Jones, I. S. | Movchan, N. V. | Movchan, A. B. | Brun, M. | McPhedran, R. C.

    Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 469 (2013), Iss. 2157 P.20130218

    https://doi.org/10.1098/rspa.2013.0218 [Citations: 30]

  10. Seamless integration of global Dirichlet-to-Neumann boundary condition and spectral elements for transformation electromagnetics

    Yang, Zhiguo | Wang, Li-Lian | Rong, Zhijian | Wang, Bo | Zhang, Baile

    Computer Methods in Applied Mechanics and Engineering, Vol. 301 (2016), Iss. P.137

    https://doi.org/10.1016/j.cma.2015.12.020 [Citations: 26]
  11. Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials

    Simulations of Wave Propagation in Metamaterials

    Li, Jichun | Huang, Yunqing

    2013

    https://doi.org/10.1007/978-3-642-33789-5_9 [Citations: 0]
  12. Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials

    A Matlab Edge Element Code for Metamaterials

    Li, Jichun | Huang, Yunqing

    2013

    https://doi.org/10.1007/978-3-642-33789-5_7 [Citations: 0]

  13. Finite Element Analysis of Maxwell’s Equations in Dispersive Lossy Bi-Isotropic Media

    Huang, Yunqing | Li, Jichun | Lin, Yanping

    Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 04 P.494

    https://doi.org/10.4208/aamm.13-13S06 [Citations: 6]
  14. Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials

    A Posteriori Error Estimation

    Li, Jichun | Huang, Yunqing

    2013

    https://doi.org/10.1007/978-3-642-33789-5_6 [Citations: 0]

  15. Total Reflection and Cloaking by Triangular Defects Embedded in Zero Index Metamaterials

    Huang, Yunqing | Li, Jichun

    Advances in Applied Mathematics and Mechanics, Vol. 7 (2015), Iss. 2 P.135

    https://doi.org/10.4208/aamm.2014.m659 [Citations: 8]
  16. Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials

    Introduction to Finite Element Methods

    Li, Jichun | Huang, Yunqing

    2013

    https://doi.org/10.1007/978-3-642-33789-5_2 [Citations: 2]

  17. Developing a time-domain finite-element method for modeling of electromagnetic cylindrical cloaks

    Li, Jichun | Huang, Yunqing | Yang, Wei

    Journal of Computational Physics, Vol. 231 (2012), Iss. 7 P.2880

    https://doi.org/10.1016/j.jcp.2011.12.026 [Citations: 31]
  18. Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials

    Time-Domain Finite Element Methods for Metamaterials

    Li, Jichun | Huang, Yunqing

    2013

    https://doi.org/10.1007/978-3-642-33789-5_3 [Citations: 4]

  19. Optimal control for electromagnetic cloaking metamaterial parameters design

    Fang, Zhiwei | Li, Jichun | Wang, Xiang

    Computers & Mathematics with Applications, Vol. 79 (2020), Iss. 4 P.1165

    https://doi.org/10.1016/j.camwa.2019.08.023 [Citations: 7]
  20. Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials

    Perfectly Matched Layers

    Li, Jichun | Huang, Yunqing

    2013

    https://doi.org/10.1007/978-3-642-33789-5_8 [Citations: 0]

  21. Accurate Simulation of Circular and Elliptic Cylindrical Invisibility Cloaks

    Yang, Zhiguo | Wang, Li-Lian

    Communications in Computational Physics, Vol. 17 (2015), Iss. 3 P.822

    https://doi.org/10.4208/cicp.280514.131014a [Citations: 13]
  22. Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials

    Superconvergence Analysis for Metamaterials

    Li, Jichun | Huang, Yunqing

    2013

    https://doi.org/10.1007/978-3-642-33789-5_5 [Citations: 0]
  23. Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials

    Discontinuous Galerkin Methods for Metamaterials

    Li, Jichun | Huang, Yunqing

    2013

    https://doi.org/10.1007/978-3-642-33789-5_4 [Citations: 0]