Toward a cylindrical cloak via inverse homogenization

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 29, Issue 3, 2012, Pages 239-243

  Anderson, Tom H ^a   Mackay, Tom G ^a,b   Lakhtakia, Akhlesh ^b,c  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

^b The Pennsylvania State University   (United States)

^c PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MAGNETIC MATERIALS;

BRUGGEMAN FORMALISM; COMPONENT MATERIALS; CONSTITUTIVE PARAMETERS; CONSTITUTIVE RELATIONS; DIELECTRIC-MAGNETIC MATERIAL; HOMOGENIZED COMPOSITES; INVERSE HOMOGENIZATION; RANDOMLY DISTRIBUTED; SPHEROIDAL PARTICLES; SPHEROIDAL SHAPES;

DIELECTRIC MATERIALS;

EID: 84857842834     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.29.000239     Document Type: Article

References (36)

1. G. V. Skrotskii, "The influence of gravitation on the propagation of light," Sov. Phys. Dokl. 2, 226-229 (1957).
2. J. Plébanski, "Electromagnetic waves in gravitational fields," Phys. Rev. 118, 1396-1408 (1960).
3. J. Chandezon, M. T. Dupuis, G. Cornet, and D. Maystre, "Multicoated gratings: a differential formalism applicable in the entire optical region," J. Opt. Soc. Am. 72, 839-846 (1982).
4. L. Li, J. Chandezon, G. Granet, and J.-P. Plumey, "Rigorous and efficient grating-analysis method made easy for optical engineers," Appl. Opt. 38, 304-313 (1999). (Pubitemid 129309072)
5. R. A. Depine, M. E. Inchaussandague, and A. Lakhtakia, "Vector theory of diffraction by gratings made of a uniaxial dielectricmagnetic material exhibiting negative refraction," J. Opt. Soc. Am. B 23, 514-528 (2006).
6. J. B. Pendry, D. Schurig, and D. R. Smith, "Controlling electromagnetic fields," Science 312, 1780-1782 (2006). (Pubitemid 43962892)
7. N. A. Nicorovici, G. W. Milton, R. C. McPhedran, and L. C. Botten, "Quasistatic cloaking of two-dimensional polarizable discrete systems by anomalous resonance," Opt. Express 15, 6314-6323 (2007). (Pubitemid 46752923)
8. A. Greenleaf, Y. Kurylev, M. Lassas, and G. Uhlmann, "Cloaking devices, electromagnetic wormholes, and transformation optics," SIAM Rev. 51, 3-33 (2009).
9. Y. Lai, H. Chen, Z.-Q. Zhang, and C. T. Chan, "Complementary media invisibility cloak that cloaks objects at a distance outside the cloaking shell," Phys. Rev. Lett. 102, 093901 (2009).
10. J. Perczel, T. Tyc, and U. Leonhardt, "Invisibility cloaking without superluminal propagation," New J. Phys. 13, 083007 (2011).
11. D. Schurig, 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 314, 977-980 (2006). (Pubitemid 44749939)
12. I. I. Smolyaninov, V. N. Smolyaninova, A. V. Kildishev, and V. M. Shalaev, "Anisotropic metamaterials emulated by tapered waveguides: application to optical cloaking," Phys. Rev. Lett. 102, 213901 (2009).
13. B. Edwards, A. Alù, M. G. Silveirinha, and N. Engheta, "Experimental verification of plasmonic cloaking at microwave frequencies with metamaterials," Phys. Rev. Lett. 103, 153901 (2009).
14. G. Milton, "Realizability of metamaterials with prescribed electric permittivity and magnetic permeability tensors," New J. Phys. 12, 033035 (2010).
15. H. Gao, B. Zhang, and G. Barbastathis, "Photonic cloak made of subwavelength dielectric elliptical rod arrays," Opt. Commun. 284, 4820-4823 (2011).
16. T. G. Mackay and A. Lakhtakia, "Towards a metamaterial simulation of a spinning cosmic string," Phys. Lett. A 374, 2305-2308 (2010).
17. T. H. Anderson, T. G. Mackay, and A. Lakhtakia, "Ray trajectories for a spinning cosmic string and a manifestation of self-cloaking," Phys. Lett. A 374, 4637-4641 (2010).
18. T. H. Anderson, T. G. Mackay, and A. Lakhtakia, "Ray trajectories for Alcubierre spacetime," J. Opt. 13, 055107 (2011).
19. M. Kline and I. W. Kay, Electromagnetic Theory and Geometric Optics (Interscience, 1965).
20. M. Sluijter, D. K. De Boer, and H. P. Urbach, "Ray-optics analysis of inhomogeneous biaxially anisotropic media," J. Opt. Soc. Am. A 26, 317-329 (2009).
21. W. Yan, M. Yan, Z. Ruan, and M. Qiu, "Influence of geometrical perturbation at inner boundaries of invisibility cloaks," J. Opt. Soc. Am. A 25, 968-973 (2008).
22. Z. Ruan, M. Yan, C. W. Neff, and M. Qiu, "Ideal cylindrical cloak: perfect but sensitive to tiny perturbations," Phys. Rev. Lett. 99, 113903 (2007).
23. T. G. Mackay and A. Lakhtakia, "Towards a realization of Schwarzschild-(anti-)de Sitter spacetime as a particulate metamaterial," Phys. Rev. B 83, 195424 (2011).
24. T. G. Mackay, A. Lakhtakia, and S. Setiawan, "Gravitation and electromagnetic wave propagation with negative phase velocity," New J. Phys. 7, 75 (2005).
25. T. G. Mackay and A. Lakhtakia, Electromagnetic Anisotropy and Bianisotropy: A Field Guide (Word Scientific, 2010).
26. T. G. Mackay, "Effective constitutive parameters of linear nanocomposites in the long-wavelength regime," J. Nanophoton. 5, 051001 (2011).
27. W. S. Weiglhofer, "On the inverse homogenization problem of linear composite materials," Microw. Opt. Technol. Lett. 28, 421-423 (2001). (Pubitemid 32248253)
28. E. Cherkaev, "Inverse homogenization for evaluation of effective properties of a mixture," Inverse Probl. 17, 1203-1218 (2001). (Pubitemid 32819371)
29. T. G. Mackay and A. Lakhtakia, "Determination of constitutive and morphological parameters of columnar thin films by inverse homogenization," J. Nanophoton. 4, 041535 (2010).
30. S. S. Jamaian and T. G. Mackay, "On limitations of the Bruggeman formalism for inverse homogenization," J. Nanophoton. 4, 043510 (2010).
31. A. Alù, M. Silveirinha, A. Salandrino, and N. Engheta, "Epsilonnear-zero metamaterials and electromagnetic sources: tailoring the radiation phase pattern," Phys. Rev. B 75, 155410 (2007).
32. G. Lovat, P. Burghignoli, F. Capolino, and D. R. Jackson, "Combinations of low/high permittivity and/or permeability substrates for highly directive planar metamaterial antennas," IET Microw. Antennas Propagat. 1, 177-183 (2007).
33. M. N. Navarro-Cía, M. Beruete, I. Campillo, and M. Sorolla, "Enhanced lens by μ and μ near-zero metamaterial boosted by extraordinary optical transmission," Phys. Rev. B 83, 115112 (2011).
34. A. Sihvola, S. Tretyakov, and A. de Baas, "Metamaterials with extreme material parameters," J. Commun. Technol. Electron. 52, 986-990 (2007). (Pubitemid 47536599)
35. S. Xiao, V. P. Drachev, A. V. Kildishev, X. Ni, U. K. Chettiar, H.-K. Yuan, and V. M. Shalaev, "Loss-free and active optical negativeindex metamaterials," Nature 466, 735-738 (2010).
36. T. G. Mackay and W. S. Weiglhofer, "Homogenization of biaxial composite materials: dissipative anisotropic properties," J. Opt. A: Pure Appl. Opt. 2, 426-432 (2000).