Negative refraction in photonic crystals: Thickness dependence and Pendellösung phenomenon

Optics Express

Volumn 13, Issue 5, 2005, Pages 1361-1367

  Mocella, Vito ^a  

^a CNR   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTALS; MAGNETOELECTRIC EFFECTS; PHOTONS; SCATTERING; X RAY DIFFRACTION ANALYSIS;

DIFFRACTION THEORY; ELECTROMAGNETIC INTERACTION; MULTIPLE SCATTERING; PHOTONIC CRYSTALS;

REFRACTION;

EID: 17444414262     PISSN: 10944087     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OPEX.13.001361     Document Type: Article

References (41)

1. J.B. Pendry and D. R. Smith. "Reversing light with negative refraction," Physics Today 57, 37-43 (2004).
2. D. R. Smith, J. B. Pendry, M.C.K. Wiltshire, "Metamaterials and Negative refractive index," Science 305, 788-792 (2004).
3. R. A. Shelby, D. R. Smith and S. Schultz. "Experimental verification of a negative index of refraction," Science 292, 77-79 (2001)
4. S. Foteinopoulou, E. N. Economou and C. M. Soukoulis. "Refraction in media with a negative refractive index,", Phys. Rev. Lett. 90, 107402 (2003).
5. P. M. Valanju, R. M. Waiser and A. P. Valanju. "Wave refraction in negative-index media: Always positive and very inhomogeneous," Phys. Rev. Lett. 88, 187401 (2002).
6. D. R. Smith and N. Kroll "Negative Refractive Index in Left-Handed Material," Phys. Rev. Lett. 85, 2933-2966 (2000).
7. V. G. Veselago " The electrodynamics of substances with simultaneously negative value of ε and μ," Sov. Phys. Usp. 10, 509-514 (1968).
8. J. B. Pendry. "Negative refraction makes a perfect lens," Phys. Rev. Lett. 85, 3966-3969 (2000).
9. P. V. Parimi, W.T. Lu et al. "Imaging by flat lens using negative refraction," Nature 426, 404 (2003).
10. P. Kolinko and D. R. Smith. "Numerical study of electromagnetic waves interacting with negative index materials," Opt Express 11, 640-648 (2003), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-7-640.
11. A. K. Iyer, P. C. Kremer and G. V. Eleftheriades. "Experimental and theoretical verification of focusing in a large, periodically loaded transmission line negative refractive index metamaterial," Opt. Express 11, 696-708 (2003), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-7-696.
12. P. F. Loschialpo, D. L. Smith, et al. "Electromagnetic waves focused by a negative-index planar lens," Phys. Rev. E 67, 025602 (2003).
13. D. Maystre and S. Enoch. "Perfect lenses made with left-handed materials: Alice's mirror?," J. Opt. Soc. Am. A 21, 122-131 (2004).
14. A. Martinez, H. Miguez, et al. "Experimental and theoretical analysis of the self-focusing of light by a photonic crystal lens," Phys. Rev. B 69, 165119 (2004).
15. C. G. Parazzoli, R. B. Greegor, et al. "Performance of a negative index of refraction lens," Appl. Phys. Lett. 84, 3232-3234 (2004).
16. A. L. Pokrovsky and A. L. Efros. "Lens based on the use of left-handed materials," Appl. Opt. 42, 5701-5705 (2003).
17. B. Gralak, S. Enoch and G. Tayeb. "Anomalous refractive properties of photonic crystals," J. Opt. Soc. of Am. A 17, 1012-1020 (2000).
18. M. Notomi. "Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap," Phys. Rev. B 62, 10696-10705 (2000).
19. C. Y. Luo, S. G. Johnson and J. D. Joannopoulos. "All-angle negative refraction in a three-dimensionally periodic photonic crystal," Appl. Phys. Lett. 81, 2352-2354 (2002).
20. C. Luo, S. G. Johnson, et al. "All-angle negative refraction without negative effective index," Phys. Rev. B 65, 201104, (2002).
21. E. Cubukcu, K. Aydin, et al. "Subwavelength resolution in a two-dimensional photonic-crystal-based superlens," Phys. Rev. Lett. 91, 207401 (2003).
22. E. Cubukcu, K. Aydin, et al. "Negative refraction by photonic crystals," Nature 423, 604-605 (2003).
23. S. Foteinopoulou and C. M. Soukoulis. "Negative refraction and left-handed behavior in two-dimensional photonic crystals," Phys. Rev. B 67, 235107 (2003).
24. R. Moussa, S. Foteinopoulou and C. M. Soukoulis. "Delay-time investigation of electromagnetic waves through homogeneous medium and photonic crystal left-handed materials," Appl. Phys. Lett. 85, 1125-1127 (2004).
25. P. V. Parimi, W. T. Lu, et al. "Negative refraction and left-handed electromagnetism in microwave photonic crystals," Phys. Rev. Lett. 92, 127401 (2004).
26. Z. Y. Li and L. L. Lin. "Evaluation of lensing in photonic crystal slabs exhibiting negative refraction, Phys. Rev. B 68, 245110 (2003).
27. A. Berrier, M. Mulot, et al. "Negative refraction at infrared wavelengths in a two-dimensional photonic crystal,"Phys. Rev. Lett. 93, 73902 (2004).
28. B. W. Battermann, H. Cole, "Dynamical diffraction theory of X rays by perfect crystals," Rev. Mod. Phys. 36, 681-717(1964).
29. A. Authier, Dynamical Theory of X-ray Diffraction, Oxford University Press (Oxford, 2001).
30. P.P. Ewald, "Zur Theorie der Interferenzen der Röntgenstrahlen, " Physik Z. 14, 465-472 (1913).
31. P.P. Ewald, "Zur Begründung der Kristalloptik - Teil III," Ann. Physik 54, 519-597 (1917).
32. P.P. Ewald, "Crystal optics for visible light and X rays," Rev. Mod. Physics 37, 46-56 (1965).
33. J.D. Joannopulos, R.D. Mead, J.N. Winn, Photonic crystal: Molding the flow of light, Princeton University Press (Princeton, 1995).
34. K. Sakoda, Optical Properties of Photonic Crystals, Springer Verlag (New York, 2001).
35. E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
36. S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).
37. O. Francescangeli, S. Melone, R. De Leo, "Dynamical diffraction of microwaves by periodic dielectric media," Phys. Rev. A 40, 4988-4996 (1989).
38. Z. Zhang, S. Satpathy, "Electromagnetic wave propagation in periodic structures: Bloch wave solution of Maxwell's equations," Phys. Rev. Lett. 65, 2650-2653 (1990).
39. P.St.J. Russel, Designing photonic crystals in Electron and Photon Confinement in Semiconductor Nanostructures, IOP Press (Amsterdam, 2003), p. 79-103.
40. C. Poulton, S. Guenneau, A.B. Movchan, " Noncommuting limits and effective properties for oblique propagation of electromagnetic waves through an array of aligned fiber," Phy. Rev. B 69, 195112 (2004).
41. C. -H. Kuo and Z. Ye, "Negative-refraction behavior revealed by arrays of dielectric cylinders", Phys. Rev. E 70, 026608 (2004).