Fourier analysis of Bloch wave propagation in photonic crystals

Journal of the Optical Society of America B: Optical Physics

Volumn 22, Issue 6, 2005, Pages 1179-1190

  Lombardet, Benoît ^a   Dunbar, L Andrea ^a   Ferrini, Rolando ^a   Houdré, Romuald ^a  

^a EPFL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTALS; DIELECTRIC MATERIALS; ELECTROMAGNETIC FIELDS; ELECTROMAGNETIC WAVES; FOURIER TRANSFORMS; LIGHT REFRACTION;

BLOCH WAVES; PHOTONIC CRYSTALS;

OPTICAL MATERIALS;

EID: 21244449278     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.22.001179     Document Type: Article

References (31)

1. J. Joannopoulos, R. Meade, and J. Winn, Photonic Crystals: Molding the Flow of Light (Princeton U. Press, Princeton, N.J., 1995).
2. E. Yablonovitch, T. J. Gmitter, and K. M. Leung, "Photonic band structure - the face-centered-cubic case employing nonspherical atoms," Phys. Rev. Lett. 67, 2295-2298 (1991).
3. E. Yablonovitch, "Inhibited spontaneous emission in solidstate physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
4. M. Boroditsky, R. Vrijen, T. F. Krauss, R. Coccioli, R. Bhat, and E. Yablonovitch, "Spontaneous emission extraction and Purcell enhancement from thin-film 2-D photonic crystals," J. Lightwave Technol. 17, 2096-2112 (1999).
5. C. Soukoulis, ed., Photonic Crystals and Light Localization in the 21th Century (Kluwer Academic, Dordrecht, The Netherlands, 2001).
6. J. G. Eden, ed., Special issue on photonic crystals, IEEE J. Quantum Electron. 38, 724-963 (2002).
7. P. S. J. Russell, "Optics of Floquet-Bloch waves in dielectric gratings," Appl. Phys. B: Photophys. Laser Chem. 39, 231-246 (1986).
8. P. S. J. Russell, "Bragg resonance of light in optical superlattices," Phys. Rev. Lett. 56, 596-599 (1986).
9. R. Zengerle, "Light propagation in singly and doubly periodic planar wave-guides," J. Mod. Opt. 34, 1589-1617 (1987).
10. P. S. J. Russell and T. Birks, "Bloch waves optics in photonic crystals: physics and applications," in Photonic Band Gap Materials, C. M. Soukoulis, ed. (Kluwer Academic, Dordrecht, The Netherlands, 1996), pp. 71-91.
11. 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).
12. B. Gralak, S. Enoch, and G. Tayeb, "Anomalous refractive properties of photonic crystals," J. Opt. Soc. Am. A 17, 1012-1020 (2000).
13. C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "All-angle negative refraction without negative effective index," Phys. Rev. B 65, 201104 (2002).
14. S. Foteinopoulou, E. N. Economou, and C. M. Soukoulis, "Refraction in media with a negative refractive index," Phys. Rev. Lett. 90, 107402 (2003).
15. E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopolou, and C. M. Soukoulis, "Subwavelength resolution in a two-dimensional photonic-crystal-based superlens," Phys. Rev. Lett. 91, 207401 (2003).
16. P. V. Parimi, W. T. T. Lu, P. Vodo, and S. Sridhar, "Photonic crystals - imaging by flat lens using negative refraction," Nature (London) 426, 404 (2003).
17. A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thylen, A. Talneau, and S. Anand, "Negative refraction at infrared wavelengths in a two-dimensional photonic crystal," Phys. Rev. Lett. 93, 73902 (2004).
18. H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals," Phys. Rev. B 58, 10096-10099 (1998).
19. T. Baba and M. Nakamura, "Photonic crystal light deflection devices using the superprism effect," IEEE J. Quantum Electron. 38, 909-914 (2002).
20. L. J. Wu, M. Mazilu, T. Karle, and T. F. Krauss, "Superprism phenomena in planar photonic crystals," IEEE J. Quantum Electron. 38, 915-918 (2002).
21. H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Self-collimating phenomena in photonic crystals," Appl. Phys. Lett. 74, 1212-1214 (1999).
22. J. Witzens, M. Loncar, and A. Scherer, "Self-collimation in planar photonic crystals," IEEE J. Sel. Top. Quantum Electron. 8, 1246-1257 (2002).
23. J. Witzens and A. Scherer, "Efficient excitation of self-collimated beams and single Bloch modes in planar photonic crystals," J. Opt. Soc. Am. A 20, 935-940 (2003).
24. V. G. Veselago, "Electrodynamics of substances with simultaneously negative values of sigma and mu," Sov. Phys. Usp. 10, 509-514 (1968).
25. K. Sakoda, Optical Properties of Photonic Crystals (Springer-Verlag, Berlin, 2001).
26. M. Plihal and A. A. Maradudin, "Photonic band-structure of 2-dimensional systems - the triangular lattice," Phys. Rev. B 44, 8565-8571 (1991).
27. P. Yeh, "Electromagnetic propagation in birefringent layered media," J. Opt. Soc. Am. 69, 742-756 (1979).
28. J. P. Dowling and C. M. Bowden, "Anomalous index of refraction in photonic bandgap materials," J. Mod. Opt. 41, 345-351 (1994).
29. n,m.
30. B. Lombardet, L. A. Dunbar, R. Ferrini, and R. Houdré, "Bloch wave propagation in two-dimensional photonic crystals: influence of the polarization," special issue on optical waveguide theory and numerical modeling, Opt. Quantum Electron. (to be published).
31. M. Qiu, L. Thylen, M. Swillo, and B. Jaskorzynska, "Wave propagation through a photonic crystal in a negative phase refractive-index region," IEEE J. Sel. Top. Quantum Electron. 9, 106-110 (2003).