volume | PIER Journals

Abstract

In this paper, we propose a new methodology to design an electromagnetic invisibility anti-cloak, which is based on nonlinear coordinate transformation. Cylindrical and elliptical shapes are presented to show the validation of the proposed methodology. We verify and analyze the above model with nonlinear transformation respectively. Full-wave simulations are given to illustrate the ability of the nonlinear transformation, which is advantageous for reducing the design difficulty of the anti-cloak. And the cloak shielding is broken, and the electromagnetic waves can go through the cloak. It is of particular importance in microwave communication applications.

1. Pendry, J. B., D. Schurig, and D. R. Smith, "Controlling electromagnetic fields," Science, Vol. 312, 1780-1782, 2006.
doi:10.1126/science.1125907

2. Cummer, S. A., B. I. Popa, D. Schurig, and D. R. Smith, "Full-wave simulations of electromagnetic cloaking structures," Phys. Rev. E, Vol. 74, No. 3, 036621, 2006.
doi:10.1103/PhysRevE.74.036621

3. Leonhardt, U., "Optical conformal mapping," Science, Vol. 312, No. 5781, 1777-1780, 2006.
doi:10.1126/science.1126493

4. Schurig, D., J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, "Metamaterial electromagnetic cloak at microwave frequencies," Science, Vol. 314, No. 5801, 977-980, 2006.
doi:10.1126/science.1133628

5. Schurig, D., J. B. Pendry, and D. R. Smith, "Calculation of material properties and ray tracing in transformation media," Opt. Express, Vol. 14, No. 21, 9794-9804, 2006.
doi:10.1364/OE.14.009794

6. Milton, G. W., M. Briane, and J. R. Willis, "On cloaking for elasticity and physical equations with a transformation invariant form," New J. Phys., Vol. 8, No. 10, 248, 2006.
doi:10.1088/1367-2630/8/10/248

7. Cai, W., U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, "Optical cloaking with metamaterials," Nat. Photonics, Vol. 1, No. 4, 224-227, 2007.
doi:10.1038/nphoton.2007.28

8. Chen, H. and C. T. Chan, "Transformation media that rotate electromagnetic fields," Appl. Phys. Lett., Vol. 90, No. 4, 241105-241109, 2007.
doi:10.1063/1.2748302

9. Jiang, W. X., et al., "Arbitrarily elliptical-cylindrical invisible cloaking," J. Phys. D: Appl. Phys., Vol. 41, No. 5, 199801-199807, 2008.
doi:10.1088/0022-3727/41/19/199801

10. Xuan, Y. L., et al., "Complementary elliptical cloak with arbitrary axial ratio," IEICE Electron. Express, Vol. 16, 20190069-20190075, 2019.
doi:10.1587/elex.16.20190069

11. Jiang, W. X., T. J. Cui, X. Y. Zhou, X. M. Yang, and Q. Cheng, "Arbitrary bending of electromagnetic waves using realizable inhomogeneous and anisotropic materials," Phys. Rev. E, Vol. 78, 066667, 2008.

12. Rahm, M., et al., "Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell’s equations," Photon. Nanostruct., Fundam. Appl., Vol. 6, No. 1, 87-95, 2008.
doi:10.1016/j.photonics.2007.07.013

13. Huo, F. F., L. Li, and Y. J. Li, "Multifunctional electromagnetic concentrator based on complementary media and realized with multilayer metamaterials," IEEE Antennas Wirel. Propag. Lett., Vol. 13, 1804-1807, 2014.
doi:10.1109/LAWP.2014.2386866

14. Shi, Y., et al., "Design of a minimized complementary illusion cloak with arbitrary position," Int. J. Antennas Propag., Vol. 2015, 932495-932499, 2015.

15. Shi, Y., et al., "A minimized invisibility complementary cloak with a composite shape," IEEE Antennas Wireless Propag. Lett., Vol. 13, 1800-1805, 2014.
doi:10.1109/LAWP.2014.2363875

16. Kwon, D. H. and D. H. Werner, "Polarization splitter and polarization rotator designs based on transformation optics," Opt. Express, Vol. 16, No. 23, 18731-18738, 2006.
doi:10.1364/OE.16.018731

17. Liu, R., et al., "Broadband ground-plane cloak," Science, Vol. 323, 366-371, 2009.
doi:10.1126/science.1166949

18. Luo, Y., et al., "Cylindrical cloak with axial permittivity/permeability spatially invariant," Appl. Phys. Lett., Vol. 93, 033504-033510, 2008.
doi:10.1063/1.2953433

19. Nicolet, A., et al., "Electromagnetic analysis of cylindrical cloak of an arbitrary cross section," Opt. Lett., Vol. 33, 1584-1591, 2008.
doi:10.1364/OL.33.001584

20. Lai, Y., et al., "Complementary media invisibility cloak that cloaks objects at a distance outside the cloaking shell," Phys. Rev. Lett., Vol. 102, 093901-093907, 2009.
doi:10.1103/PhysRevLett.102.093901

21. Huo, F. F., L. Li, T. Li, Y. M. Zhang, and C. H. Liang, "External invisibility cloak for multiobjects with arbitrary geometries," IEEE Antennas Wirel. Propag. Lett., Vol. 13, 273-276, 2014.

22. Shi, Y., et al., "Three-dimensional complementary invisibility cloak with arbitrary shapes," IEEE Antennas Wireless Propag. Lett., Vol. 14, No. 4, 1550-1556, 2016.

23. Ma, H. F. and T. J. Cui, "Three-dimensional broadband gro-undplane cloak made of metamaterials," Nat. Commun., Vol. 1, No. 5, 21-27, 2010.
doi:10.1038/ncomms1023

24. Valentine, J., J. Li, T. Zentgraf, G. Bartal, and X. Zhang, "An optical cloak made of dielectrics," Nat. Mater., Vol. 8, No. 7, 568-571, 2009.
doi:10.1038/nmat2461

25. Chen, H., X. Luo, H. Ma, and C. T. Chan, "The anti-cloak," Opt. Express, Vol. 16, No. 19, 14603-14608, 2008.
doi:10.1364/OE.16.014603

26. Castaldi, G., I. Gallina, V. Galdi, A. Alu, and N. Engheta, "Cloak/Anti-cloak interactions," Opt. Express, Vol. 17, No. 5, 3101-3114, 2009.
doi:10.1364/OE.17.003101

27. Yan, M., Z. Ruan, and M. Qiu, "Scattering characteristics of simplified cylindrical invisibility cloaks," Opt. Express, Vol. 15, No. 26, 17772-17782, 2006.
doi:10.1364/OE.15.017772

28. Li, L., F. F. Huo, Y. M. Zhang, Y. Chen, and C. H. Liang, "Design of invisibility anti-cloak for two-dimensional arbitrary geometries," Opt. Express, Vol. 21, No. 8, 9422-9427, 2013.
doi:10.1364/OE.21.009422

29. Han, T. and Z. Wu, "Electromagnetic wave rotators with homogeneous, nonmagnetic, and isotropic materials," Opt. Lett., Vol. 39, No. 16, 3698-3704, 2014.
doi:10.1364/OL.39.003698

30. Guo, C. J., P. Niu, Q. Xu, and Z. X. Wei, "Parameter design of cylindrical invisible cloak applied nonlinear transformation," International Workshop on Metamaterials, 10428123, 2008.

31. Teixeira, F. L. and W. C. Chew, "General closed-form PML constitutive tensors to match arbitrary bianisotropic and dispersive linear media," IEEE Microwave and Guided Wave Letters, Vol. 8, No. 6, 223-225, 1998.
doi:10.1109/75.678571

32. "Comsol multiphysics," (Comsol AB), http://www.comsol.com.

Dr. Zhihua Han

Dr. Yong-Liang Zhang