Vol. 94

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2009-07-13

Investigations of the Electromagnetic Properties of Three-Dimensional Arbitrarily-Shaped Cloaks

By Qiang Cheng, Wei Xiang Jiang, and Tie-Jun Cui
Progress In Electromagnetics Research, Vol. 94, 105-117, 2009
doi:10.2528/PIER09060705

Abstract

We investigate the electromagnetic properties of three-dimensional (3D) arbitrarily-shaped invisible cloaks based on the analytical field transformation theory instead of the complicated numerical simulations. Very simple closed-form expressions for fields and energy flows have been derived for arbitrarily-shaped 3D cloak, which could help us to investigate the electromagnetic properties of the 3D cloaks rapidly and efficiently. The difference between 2D and 3D cloaks have been compared in detail. Distributions of the fields, power flows and wave polarizations for the 3D case have been discussed inside the cloak. Numerical results have been presented at the cutplanes of cloaks to valid the theoretical analysis, which shows clearly how the incident waves are bent at the inner boundary. In order to further reveal the physical essence of the cloaks, both 3D spherical and ellipsoidal cloaks have been considered based on the analytical method. The common features and the differences for the two structures have been also illustrated in this paper.

Citation


Qiang Cheng, Wei Xiang Jiang, and Tie-Jun Cui, "Investigations of the Electromagnetic Properties of Three-Dimensional Arbitrarily-Shaped Cloaks," Progress In Electromagnetics Research, Vol. 94, 105-117, 2009.
doi:10.2528/PIER09060705
http://jpier.org/PIER/pier.php?paper=09060705

References


    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. 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, 977-980, 2006.
    doi:10.1126/science.1133628

    3. Cai, W., U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, "Optical cloaking with metamaterials," Nature Photonics, Vol. 1, 224-227, 2007.
    doi:10.1038/nphoton.2007.28

    4. Cummer, S. A., B.-I. Popa, D. Schurig, D. R. Smith, and J. B. Pendry, "Full-wave simulations of electromagnetic cloaking structures," Phys. Rev. E, Vol. 74, 036621, 2006.
    doi:10.1103/PhysRevE.74.036621

    5. 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, 248-267, 2006.
    doi:10.1088/1367-2630/8/10/248

    6. Alu, A. and N. Engheta, "Multifrequency optical cloaking with layered plasmonic shells," Phys. Rev. Lett., Vol. 100, 113901, 2008.
    doi:10.1103/PhysRevLett.100.113901

    7. Schurig, D., J. B. Pendry, and D. R. Smith, "Calculation of material properties and ray tracing in transformation media," Opt. Express, Vol. 14, 9794-9804, 2006.
    doi:10.1364/OE.14.009794

    8. Jiang, W. X., J. Y. Chin, Z. Li, Q. Cheng, R. Liu, and T. J. Cui, "Analytical design of conformally invisible cloaks for arbitrarily shaped objects," Phys. Rev. E, Vol. 77, 066607, 2008.
    doi:10.1103/PhysRevE.77.066607

    9. Ruan, Z. C., M. Yan, C. W. Neff, and M. Qiu, "Ideal cylindrical cloak: Perfect but sensitive to tiny perturbations," Phys. Rev. Lett., Vol. 99, 113903, 2007.
    doi:10.1103/PhysRevLett.99.113903

    10. Zhang, B., H. Chen, B.-I. Wu, Y. Luo, L. Ran, and J. A. Kong, "Response of a cylindrical invisibility cloak to electromagnetic waves," Phys. Rev. B, Vol. 76, 121101, 2007.
    doi:10.1103/PhysRevB.76.121101

    11. Kwon, D.-H. and D. H. Werner, "Two-dimensional eccentric elliptic electromagnetic cloaks," Appl. Phys. Lett., Vol. 92, 013505, 2008.
    doi:10.1063/1.2830698

    12. Jiang, W. X., T. J. Cui, G. X. Yu, X. Q. Lin, Q. Cheng, and J. Y. Chin, "Arbitrarily elliptical-cylindrical invisible cloaking," J. Phys. D: Appl. Phys., Vol. 41, 085504, 2008.
    doi:10.1088/0022-3727/41/8/085504

    13. Rahm, M., D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, "Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell's equations," Phot. Nano. Fund. Appl., Vol. 6, 87-95, 2008.
    doi:10.1016/j.photonics.2007.07.013

    14. Zharova, N. A., I. V. Shadrivov, A. A. Zharov, and Y. S. Kivshar, "Ideal and nonideal invisibility cloaks," Opt. Express, Vol. 16, 21369-21374, 2008.
    doi:10.1364/OE.16.021369

    15. Chen, H., B.-I. Wu, B. Zhang, and J. A. Kong, "Electromagnetic wave interactions with a metamaterial cloak," Phys. Rev. Lett., Vol. 99, 063903, 2007.
    doi:10.1103/PhysRevLett.99.063903

    16. Zhang, B., H. Chen, B.-I. Wu, and J. A. Kong, "Extraordinary surface voltage e®ect in the invisibility cloak with an active device inside," Phys. Rev. Lett., Vol. 100, 063904, 2008.
    doi:10.1103/PhysRevLett.100.063904

    17. You, Y., G. W. Kattawar, P.-W. Zhai, and P. Yang, "Zero-backscatter cloak for aspherical particles using a generalized DDA formalism," Opt. Express, Vol. 16, 2068-2079, 2008.
    doi:10.1364/OE.16.002068

    18. You, Y., G. W. Kattawar, P.-W. Zhai, and P. Yang, "Invisibility cloaks for irregular particles using coordinate transformations," Opt. Express, Vol. 16, 6134-6145, 2008.
    doi:10.1364/OE.16.006134

    19. Liu, R., T. J. Cui, D. Huang, B. Zhao, and D. R. Smith, "Description of electromagnetic behaviors in artificial metamaterials based on effective medium theory," Phys. Rev. E, Vol. 76, 026606, 2007.
    doi:10.1103/PhysRevE.76.026606

    20. Lagarkov, A. N., V. N. Kisel, and V. N. Semenenko, "Wide-angle absorption by the use of a metamaterial plate," Progress In Electromagnetics Research Letters, Vol. 1, 35-44, 2008.
    doi:10.2528/PIERL07111809

    21. Ahmed, S. and Q. A. Naqvi, "Electromagnetic scattering of two or more incident plane waves by a perfect electromagnetic conductor cylinder coated with a metamaterial," Progress In Electromagnetics Research B, Vol. 10, 75-90, 2008.
    doi:10.2528/PIERB08083101

    22. Zhang, J. J., Y. Luo, H. Chen, and B.-I. Wu, "Sensitivity of transformation cloak in engineering," Progress In Electromagnetics Research, Vol. 84, 93-104, 2008.
    doi:10.2528/PIER08071301

    23. Silva-Macedo, J. A., M. A. Romero, and B.-H. V. Borges, "An extended FDTD method for the analysis of electromagnetic field rotators and cloaking devices," Progress In Electromagnetics Research, Vol. 87, 183-196, 2008.
    doi:10.2528/PIER08101507

    24. Cheng, X., H. Chen, B.-I. Wu, and J. A. Kong, "Cloak for bianisotropic and moving media," Progress In Electromagnetics Research, Vol. 89, 199-212, 2009.
    doi:10.2528/PIER08120803

    25. Luo, Y., J. Zhang, H. Chen, and B.-I. Wu, "Full-wave analysis of prolate spheroidal and hyperboloidal cloaks," J. Phys. D: Appl. Phys., Vol. 41, 235101, 2008.
    doi:10.1088/0022-3727/41/23/235101

    26. Ozgun, O. and M. Kuzuoglu, "Electromagnetic metamorphosis: Reshaping scatters via conformal anisotropic metamaterial coatings," Microw. and Opt. Tech. Letts., Vol. 49, 2386-2392, 2008.
    doi:10.1002/mop.22784

    27. Leonhardt, U., "Optical conformal mapping," Science, Vol. 312, 1777-1780, 2006.
    doi:10.1126/science.1126493

    28. Leonhardt, U., "General relativity in electrical engineering," New Journal of Physics, Vol. 8, 1777-1780, 2006.