Scaling two-dimensional photonic crystals for transformation optics

Optics Express

Volumn 19, Issue 18, 2011, Pages 16821-16829

  Liang, Zixian ^a   Li, Jensen ^a  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

BLOCH WAVES; DIFFERENT SCALE; EFFECTIVE MEDIUM; HOMOGENEOUS MEDIUM; LARGE ANISOTROPY; LOW LOSS; TRANSFORMATION OPTICS; TWO-DIMENSION; TWO-DIMENSIONAL PHOTONIC CRYSTALS; UNIT CELLS;

PHOTONIC CRYSTALS;

EID: 80052195802     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.19.016821     Document Type: Article

References (38)

1. J. B. Pendry, D. Schurig, D. R. Smith, "Controlling electromagnetic fields," Science 312(5781), 1780-1782 (2006). (Pubitemid 43962892)
2. U. Leonhardt, "Optical conformal mapping," Science 312(5781), 1777-1780 (2006). (Pubitemid 43962891)
3. D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, D. R. Smith, "Metamaterial electromagnetic cloak at microwave frequencies," Science 314(5801), 977-980 (2006). (Pubitemid 44749939)
4. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann, "Electromagnetic wormholes and virtual magnetic monopoles from metamaterials," Phys. Rev. Lett. 99(18), 183901 (2007).
5. W. Cai, U. K. Chettiar, A. V. Kildishev, V. M. Shalaev, "Optical cloaking with metamaterials," Nat. Photonics 1(4), 224-227 (2007).
6. M. Rahm, S. A. Cummer, D. Schurig, J. B. Pendry, D. R. Smith, "Optical design of reflectionless complex media by finite embedded coordinate transformations," Phys. Rev. Lett. 100(6), 063903 (2008).
7. M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, J. B. Pendry, "Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell's equations," Photonics Nanostruct. Fundam. Appl. 6(1), 87-95 (2008). (Pubitemid 351389829)
8. J. Li and J. B. Pendry, "Hiding under the carpet: a new strategy for cloaking," Phys. Rev. Lett. 101(20), 203901 (2008).
9. V. M. Shalaev," Physics. Transforming light," Science 322(5900),384-386(2008).
10. N. I. Landy and W. J. Padilla, "Guiding light with conformal transformations," Opt. Express 17(17), 14872-14879 (2009).
11. J. Huangfu, S. Xi, F. Kong, J. Zhang, H. Chen, D. Wang, B.-I. Wu, L. Ran, J. A. Kong, "Application of coordinate transformation in bent waveguides," J. Appl. Phys. 104(1), 014502 (2008).
12. W. X. Jiang, T. J. Cui, X. Y. Zhou, X. M. Yang, Q. Cheng, "Arbitrary bending of electromagnetic waves using realizable inhomogeneous and anisotropic materials," Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 78(6), 066607 (2008).
13. M. Rahm, D. A. Roberts, J. B. Pendry, D. R. Smith, "Transformation- optical design of adaptive beam bends and beam expanders," Opt. Express 16(15), 11555-11567 (2008).
14. Y. Lai, H. Chen, Z. Q. Zhang, C. T. Chan, "Complementary media invisibility cloak that cloaks objects at a distance outside the cloaking shell," Phys. Rev. Lett. 102(9), 093901 (2009).
15. D. A. Genov, S. Zhang, X. Zhang, "Mimicking celestial mechanics in metamaterials," Nat. Phys. 5(9), 687-692 (2009).
16. E. E. Narimanov and A. V. Kildishev, "Optical black hole: broadband omnidirectional light absorber," Appl. Phys. Lett. 95(4), 041106 (2009).
17. S. Liu, L. Li, Z. Lin, H. Y. Chen, J. Zi, C. T. Chan, "Graded index photonic hole: analytical and rigorous full wave solution," Phys. Rev. B 82(5), 054204 (2010).
18. H. Chen, C. T. Chan, P. Sheng, "Transformation optics and metamaterials," Nat. Mater. 9(5), 387-396 (2010).
19. P. A. Huidobro, M. L. Nesterov, L. Martín-Moreno, F. J. García-Vidal, "Transformation optics for plasmonics," Nano Lett. 10(6), 1985-1990 (2010).
20. Y. Liu, T. Zentgraf, G. Bartal, X. Zhang, "Transformational plasmon optics," Nano Lett. 10(6), 1991-1997 (2010).
21. R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, D. R. Smith, "Broadband ground-plane cloak," Science 323(5912), 366-369 (2009).
22. Y. G. Ma, C. K. Ong, T. Tyc, U. Leonhardt, "An omnidirectional retroreflector based on the transmutation of dielectric singularities," Nat. Mater. 8(8), 639-642 (2009).
23. H. F. Ma and T. J. Cui, "Three-dimensional broadband ground-plane cloak made of metamaterials," Nat Commun 1(3), 21 (2010).
24. Q. Cheng, T. J. Cui, W. X. Jiang, B. G. Cai, "An omnidirectional electromagnetic absorber made of metamaterials," N. J. Phys. 12(6), 063006 (2010).
25. N. Kundtz and D. R. Smith, "Extreme-angle broadband metamaterial lens," Nat. Mater. 9(2), 129-132 (2010).
26. J. Valentine, J. Li, T. Zentgraf, G. Bartal, X. Zhang, "An optical cloak made of dielectrics," Nat. Mater. 8(7), 568-571 (2009).
27. L. H. Gabrielli, J. Cardenas, C. B. Poitras, M. Lipson, "Silicon nanostructure cloak operating at optical frequencies," Nat. Photonics 3(8), 461-463 (2009).
28. J. C. Halimeh, T. Ergin, J. Mueller, N. Stenger, M. Wegener, "Photorealistic images of carpet cloaks," Opt. Express 17(22), 19328-19336 (2009).
29. T. Ergin, N. Stenger, P. Brenner, J. B. Pendry, M. Wegener, "Three-dimensional invisibility cloak at optical wavelengths," Science 328(5976), 337-339 (2010).
30. X. Chen, Y. Luo, J. Zhang, K. Jiang, J. B. Pendry, S. Zhang, "Macroscopic invisibility cloaking of visible light," Nat Commun 2, 176 (2011).
31. B. Zhang, Y. Luo, X. Liu, G. Barbastathis, "Macroscopic invisibility cloak for visible light," Phys. Rev. Lett. 106(3), 033901 (2011).
32. J. Fischer, T. Ergin, M. Wegener, "Three-dimensional polarization-independent visible-frequency carpet invisibility cloak," Opt. Lett. 36(11), 2059-2061 (2011).
33. Y. A. Urzhumov and D. R. Smith, "Transformation optics with photonic band gap media," Phys. Rev. Lett. 105(16), 163901 (2010).
34. C. Luo, S. Johnson, J. Joannopoulos, J. Pendry, "All-angle negative refraction without negative effective index," Phys. Rev. B 65(20), 201104 (2002).
35. V. Mocella, S. Cabrini, A. S. P. Chang, P. Dardano, L. Moretti, I. Rendina, D. Olynick, B. Harteneck, S. Dhuey, "Self-collimation of light over millimeter-scale distance in a quasi-zero-average-index metamaterial," Phys. Rev. Lett. 102(13), 133902 (2009).
36. S. Kocaman, R. Chatterjee, N. C. Panoiu, J. F. McMillan, M. B. Yu, R. M. Osgood, D. L. Kwong, C. W. Wong, "Observation of zeroth-order band gaps in negative-refraction photonic crystal superlattices at near-infrared frequencies," Phys. Rev. Lett. 102(20), 203905 (2009).
37. X. Huang, Y. Lai, Z. H. Hang, H. Zheng, C. T. Chan, "Dirac cones induced by accidental degeneracy in photonic crystals and zero-refractive-index materials," Nat. Mater. 10(8), 582-586 (2011).
38. J. D. Joannopoulos, S. G. Johnson, J. N. Winn, R. D. Meade, Photonic Crystals: Molding the Flow of Light, 2nd ed. (Princeton University Press, 2008).