General conformal transformation method based on Schwarz-Christoffel approach

Optics Express

Volumn 19, Issue 16, 2011, Pages 15119-15126

  Tang, Linlong ^a,b   Yin, Jinchan ^b   Yuan, Guishan ^b   Du, Jinglei ^a   Gao, Hongtao ^b   Dong, Xiaochun ^b   Lu, Yueguang ^b   Du, Chunlei ^b  

^a SICHUAN UNIVERSITY   (China)

^b INSTITUTE OF OPTICS AND ELECTRONICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; GEOMETRY; PHASE MODULATION;

A-PLANE; CONFORMAL TRANSFORMATION; FOCAL SURFACES; INTERMEDIATE GEOMETRIES; IRREGULAR GEOMETRIES; LUNEBURG LENS; MAPPING RELATION; MATERIAL PARAMETER; PHASE MODULATOR; TE AND TM WAVES;

CONFORMAL MAPPING;

ALGORITHM; ANISOTROPY; ARTICLE; COMPUTER SIMULATION; ELECTROMAGNETIC RADIATION; EQUIPMENT DESIGN; MATERIALS TESTING; OPTICAL INSTRUMENTATION; OPTICS; REPRODUCIBILITY; SURFACE PROPERTY;

ALGORITHMS; ANISOTROPY; COMPUTER SIMULATION; ELECTROMAGNETIC RADIATION; EQUIPMENT DESIGN; LENSES; MATERIALS TESTING; OPTICS AND PHOTONICS; REPRODUCIBILITY OF RESULTS; SURFACE PROPERTIES;

EID: 79961045227     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.19.015119     Document Type: Article

References (17)

1. J. B. Pendry, D. Schurig, and 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, and D. R. Smith, "Metamaterial electromagnetic cloak at microwave frequencies," Science 314 (5801), 977-980 (2006). (Pubitemid 44749939)
4. 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 (6), 063903 (2008).
5. M. Tsang and D. Psaltis, "Magnifying perfect lens and superlens design by coordinate transformation," Phys. Rev. B 77 (3), 035122 (2008).
6. G. Yuan, X. Dong, Q. Deng, H. Gao, C. Liu, Y. Lu, and C. Du, "A design method to change the effective shape of scattering cross section for PEC objects based on transformation optics," Opt. Express 18 (6), 6327-6332 (2010).
7. N. I. Landy and W. J. Padilla, "Guiding light with conformal transformations," Opt. Express 17 (17), 14872-14879 (2009).
8. Y. G. Ma, N. Wang, and C. K. Ong, "Application of inverse, strict conformal transformation to design waveguide devices," J. Opt. Soc. Am. A 27 (5), 968-972 (2010).
9. J. P. Turpin, A. T. Massoud, Z. H. Jiang, P. L. Werner, and D. H. Werner, "Conformal mappings to achieve simple material parameters for transformation optics devices," Opt. Express 18 (1), 244-252 (2010).
10. M. Schmiele, V. S. Varma, C. Rockstuhl, and F. Lederer, "Designing optical elements from isotropic materials by using transformation optics," Phys. Rev. A 81 (3), 033837 (2010).
11. C. Ren, Z. Xiang, and Z. Cen, "Design of acoustic devices with isotropic material via conformal transformation," Appl. Phys. Lett. 97 (4), 044101 (2010).
12. J. Li and J. B. Pendry, "Hiding under the carpet: a new strategy for cloaking," Phys. Rev. Lett. 101 (20), 203901 (2008).
13. T. A. Driscoll, "A MATLAB toolbox for Schwarz-Christoffel mapping," ACM Trans. Math. Softw. 22 (2), 168-186 (1996).
14. T. A. Driscoll and L. N. Trefethen, Schwartz-Christoffel Mapping (Cambridge University Press, 2002).
15. P. Henrici, Applied and Computational Complex Analysis, Volume 3: Discrete Fourier Analysis, Cauchy Integrals, Construction of Conformal Maps, Univalent Functions (Wiley, 1986).
16. T. Zentgraf, Y. Liu, M. H. Mikkelsen, J. Valentine, and X. Zhang, "Plasmonic Luneburg and Eaton lenses," Nat. Nanotechnol. 6 (3), 151-155 (2011), doi:10.1038/nnano. 2010.282.
17. A. Di Falco, S. C. Kehr, and U. Leonhardt, "Luneburg lens in silicon photonics," Opt. Express 19 (6), 5156-5162 (2011).