Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
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By Q. Cheng, W. X. Jiang, and T.-J. Cui

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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.

Q. Cheng, W. X. Jiang, and T.-J. Cui, "Investigations of the electromagnetic properties of three-dimensional arbitrarily-shaped cloaks," Progress In Electromagnetics Research, Vol. 94, 105-117, 2009.

1. Pendry, J. B., D. Schurig, and D. R. Smith, "Controlling electromagnetic fields," Science, Vol. 312, 1780-1782, 2006.

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.

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

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.

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.

6. Alu, A. and N. Engheta, "Multifrequency optical cloaking with layered plasmonic shells," Phys. Rev. Lett., Vol. 100, 113901, 2008.

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.

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.

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.

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.

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

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

27. Leonhardt, U., "Optical conformal mapping," Science, Vol. 312, 1777-1780, 2006.

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

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