Designing feasible optical devices via conformal mapping

Journal of the Optical Society of America B: Optical Physics

Volumn 28, Issue 5, 2011, Pages 1037-1042

  Yao, Kan ^a   Jiang, Xunya ^a  

^a SHANGHAI INSTITUTE OF MICROSYSTEM AND INFORMATION TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

DIRECTIVE ANTENNAS; ELECTROMAGNETIC WAVE PROPAGATION; ELECTROMAGNETIC WAVES; LENS ANTENNAS; LENSES; OPTICAL INSTRUMENTS; REFRACTIVE INDEX;

BROADBAND PROPERTY; DIRECTIONAL ANTENNA; FULL-WAVE SIMULATIONS; GEOMETRIC INTERPRETATION; IN-FIELD; LIGHT RAYS; LINE SOURCES; NOVEL METHODS; OPTICAL LENS; PROPAGATION OF ELECTROMAGNETIC WAVES; STEADY-STATE HEAT TRANSFER; TRANSFORMATION OPTICS; WAVEGUIDE BEND;

CONFORMAL MAPPING;

EID: 79959194760     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.28.001037     Document Type: Article

References (34)

1. U. Leonhardt, "Optical conformal mapping," Science 312, 1777-1780 (2006). (Pubitemid 43962891)
2. J. B. Pendry, D. Schurig, and D. R. Smith, "Controlling electromagnetic fields," Science 312, 1780-1782 (2006). (Pubitemid 43962892)
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, 977-980 (2006). (Pubitemid 44749939)
4. H. Chen, B-I. Wu, B. Zhang, and J. A. Kong, "Electromagnetic wave interactions with a metamaterial cloak," Phys. Rev. Lett. 99, 063903 (2007).
5. E. Cojocaru, "Exact analytical approaches for elliptic cylindrical invisibility cloaks," J. Opt. Soc. Am. B 26, 1119-1128 (2009).
6. A. Nicolet, F. Zolla, and S. Guenneau, "Electromagnetic analysis of cylindrical cloaks of an arbitrary cross section," Opt. Lett. 33, 1584-1586 (2008).
7. K. Yao, C. Li, and F. Li, "Two-dimensional dissimilar electromagnetic cloak for irregular regions," Appl. Phys. B 96, 355-361 (2009).
8. Z. Liang, P. Yao, X. Sun, and X. Jiang, "Physical picture and the essential elements of the dynamical process for dispersive cloaking structures," Appl. Phys. Lett. 92, 131118 (2008).
9. Y. Zhao, C. Argyropoulos, and Y. Hao, "Full-wave finitedifference time-domain simulation of electromagnetic cloaking structures," Opt. Express 16, 6717-6730 (2008). (Pubitemid 351637521)
10. Y. Lai, J. Ng, H. Chen, D. Han, J. Xiao, Z-Q. Zhang, and C. T. Chan, "Illusion optics: The optical transformation of an object into another object," Phys. Rev. Lett. 102, 253902 (2009).
11. U. Leonhardt and T. Tyc, "Broadband invisibility by non- Euclidean cloaking," Science 323, 110-112 (2009).
12. J. Li and J. B. Pendry, "Hiding under the carpet: A new strategy for cloaking," Phys. Rev. Lett. 101, 203901 (2008).
13. R. Schmied, J. C. Halimeh, and M. Wegener, "Conformal carpet and grating cloaks," Opt. Express 18, 24361-24367 (2010).
14. N. I. Landy, N. Kundtz, and D. R. Smith, "Designing threedimensional transformation optical media using quasiconformal coordinate transformations," Phys. Rev. Lett. 105, 193902 (2010).
15. U. Leonhardt, "Perfect imaging without negative refraction," New J. Phys. 11, 093040 (2009).
16. Z. L. Mei and T. J. Cui, "Arbitrary bending of electromagnetic waves using isotropic materials," J. Appl. Phys. 105, 104913 (2009).
17. P.-H. Tichit, S. N. Burokur, and A. de Lustrac, "Ultradirective antenna via transformation optics," J. Appl. Phys. 105, 104912 (2009).
18. M. Schimiele, V. S. Varma, C. Rockstuhl, and F. Lederer, "Designing optical elements from isotropic materials by using transformation optics," Phys. Rev. A 81, 033837 (2010).
19. D. R. Smith, Y. Urzhumov, N. B. Kundtz, and N. I. Landy, "Enhancing imaging systems using transformation optics," Opt. Express 18, 21238-21251 (2010).
20. R. Schinzinger and P. A. A. Laura, Conformal Mapping: Methods and Applications (Dover, 2003).
21. U. Leonhardt and T. G. Philbin, "Transformation optics and the geometry of light," Prog. Opt. 53, 69-152 (2009)
22. M. Born and E. Wolf, Principles of Optics (Cambridge University, 1999).
23. A. D. Yaghjian, S. Maci, and E. Martini, "Characteristic wave velocities in spherical electromagnetic cloaks," New J. Phys. 11, 113011 (2009).
24. J. Zhang, Y. Luo, H. Chen, and B.-I. Wu, "Manipulating the directivity of antennas with metamaterial," Opt. Express 16, 10962-10967 (2008).
25. W. X. Jiang, T. J. Cui, H. F. Ma, X. M. Yang, and Q. Cheng, "Layered high-gain lens antennas via discrete optical transformation," Appl. Phys. Lett. 93, 221906 (2008).
26. M. J. Ablowitz and A. S. Fokas, Complex Variables (Cambridge University, 2003).
27. Z. L. Mei, J. Bai, T. M. Niu, and T. J. Cui, "Design of arbitrarily directional cloaks by solving the Laplace's equation," J. Appl. Phys. 107, 124502 (2010).
28. Y. Liu, T. Zentgraf, G. Bartal, and X. Zhang, "Transformational plasmon optics," Nano Lett. 10, 1991-1997 (2010).
29. T. Zentgraf, Y. Liu, M. H. Mikkelsen, J. Valentine, and X. Zhang, "Plasmonic Luneburg and Eaton lenses," Nature Nanotechnol. 6, 151-155 (2011).
30. A. Climente, D. Torrent, and J. Sánchez-Dehesa, "Sound focusing by gradient index sonic lenses," Appl. Phys. Lett. 97, 104103 (2010).
31. R. K. Luneburg, Mathematical Theory of Optics (University of California, 1964).
32. 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).
33. N. I. Landy and W. J. Padilla, "Guiding light with conformal transformations," Opt. Express 17, 14872-14879 (2009).
34. R. P. Feynman, R. B. Leighton, and M. Sands, "The electric field in various circumstances," in The Feynman Lectures on Physics (Addison-Wesley, 1964), Vol. 2.