Application of inverse, strict conformal transformation to design waveguide devices

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

Volumn 27, Issue 5, 2010, Pages 968-972

  Ma, Y G ^a   Wang, N ^a   Ong, C K ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

CONFORMAL MAPPING; DIELECTRIC MATERIALS; OPTICAL DEVICES; WAVEGUIDES;

CO-ORDINATE TRANSFORMATION; CONFORMAL TRANSFORMATION; INVERSE TRANSFORMATIONS; MAPPING RELATIONSHIPS; OPTICAL TRANSFORMATIONS; STRINGENT REQUIREMENT; TECHNOLOGICAL APPLICATIONS; TRANSFORMATION OPTICS;

MATERIALS PROPERTIES;

EID: 77955652318     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.27.000968     Document Type: Article

References (24)

1. J. B. Pendry, D. Schurig, and D. R. Smith, "Controlling electromagnetic fields", Science 312, 1780-1782 (2006).
2. U. Leonhardt, "Optical conformal mapping", Science 312, 1777-1780 (2006).
3. U. Leonhardt and T. G. Philbin, "General relativity in electrical engineering", New J. Phys. 8, 247 (2006).
4. 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).
5. D. Schurig, J. B. Pendry, and D. R. Smith, "Transformation-designed optical elements", Opt. Express 15, 14772 (2007).
6. O. Ozgun and M. Kuzuoglu, "Utilization of anisotropic metamaterial layers in waveguide miniaturization and transitions", IEEE Microw. Wirel. Compon. Lett. 17, 754-756 (2007).
7. D. A. Roberts, M. Rahm, J. B. Pendry, and D. R. Smith, "Transformation-optical design of sharp waveguide bends and corners", Appl. Phys. Lett. 93, 251111 (2008).
8. M. Rahm, S. A. Cummer, D. Schurig, J. B. Pendry, and D. R. Smith, "Optical design of reflectionless complex media by finite embedded coordinate transformations", Phys. Rev. Lett. 100, 063903 (2008).
9. Y. G. Ma, C. K. Ong, T. Tyc, and U. Leonhardt, "An omnidirectional retroreflector based on the transmutation of dielectric singularities", Nature Mater. 8, 642-645 (2009).
10. J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, "Magnetism from conductors and enhanced nonlinear phenomena", IEEE Trans. Microwave Theory Tech. 47, 2075-2084 (1999).
11. R. W. Ziolkowski, and A. D. Kipple, "Causality and doublenegative metamaterial", Phys. Rev. E 68, 026615 (2003).
12. W. S. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, "Optical cloaking with metamaterials", Nat. Photonics 1, 224-227 (2007).
13. Y. G. Ma, X. C. Wang, and C. K. Ong, "Negative refractive index of metallic cross-I-shaped pairs: Origin and evolution with pair gap width", Phys. Rev. E 78, 016605 (2008).
14. U. Leonhardt and T. Tyc, "Broadband invisibility by non-Euclidean cloaking", Science 323, 110 (2009).
15. J. Li and J. B. Pendry, "Hiding under the carpet: A new strategy for cloaking", Phys. Rev. Lett. 101, 203901 (2008).
16. R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, "Broadband ground-plane cloak", Science 323, 366-369 (2009).
17. L. H. Gabrielli, J. Cardenas, C. B. Poitras, and M. Lipson, "Nanostructure cloaking at optical frequencies", Nat. Photonics 3, 461-463 (2009).
18. U. Leonhardt, "Towards invisibility in the visible", Nature Mater. 8, 537-538 (2009).
19. N. I. Landy and W. J. Padilla, "Guiding light with conformal transformations", Opt. Express 17, 14872-14879 (2009).
20. U. Leonhardt and T. G. Philbin, "Transformation optics and the geometry of light", Prog. Opt. 53, 69-152 (2009).
21. J. F. Thompson, B. K. Soni, and N. P. Weatherill, Handbook of Grid Generation (CRC Press, 1994).
22. P. Henrici, Applied and Computational Complex Analysis, Vol. 3 (Wiley, 1986).
23. S. A. Cummer, B. I. Popa, D. Schurig, D. R. Smith, and J. B. Pendry, "Full-wave simulations of electromagnetic cloaking structures", Phys. Rev. E 74, 036621 (2006).
24. L. H. Shi, L. Gao, S. L. He, and B. W. Li, "Superlens from metal-dielectric composites of nonspherical particles", Phys. Rev. B 76, 045116 (2007).