Second-harmonic emission in two-dimensional photonic crystals

Journal of the Optical Society of America B: Optical Physics

Volumn 23, Issue 10, 2006, Pages 2257-2264

  Centeno, Emmanuel ^a   Felbacq, Didier ^a  

^a UNIV MONTPELLIER   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DISPERSION (WAVES); LIGHT SCATTERING; PHOTONS; SECOND HARMONIC GENERATION;

PHOTONIC CRYSTALS; PHOTONIC DISPERSION CURVE; SECOND-HARMONIC EMISSION; SUPERPRISM EFFECT; WAVELENGTH TUNING;

CRYSTALS;

EID: 33751241998     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.23.002257     Document Type: Article

References (43)

1. C. M. Soukoulis, ed., Photonic Band Gap Materials, Vol. 315 of the NATO Advanced Study Institute Series E: Applied Sciences (Kluwer, 1996).
2. J. D. Joannopoulos, R. Meade, and J. Winn, Photonic Crystals (Princeton U. Press, 1995).
3. E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
4. S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).
5. A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "High transmission through sharp bends in photonic crystal waveguides," Phys. Rev. Lett. 77, 3787-3790 (1996).
6. S. Y. Lin, E. Chow, S. G. Johnson, and J. D. Joannopoulos, "Demonstration of highly efficient waveguiding in a photonic crystal slab at the 1.5-μm wavelength," Opt. Lett. 25, 1297-1299 (2000).
7. A. Talneau, L. Le Gouezigou, N. Bouadma, M. Kafesaki, C. M. Soukoulis, and M. Agio, "Photonic-crystal ultrashort bends with improved transmission and low reflection at 1.55 μm," Appl. Phys. Lett. 80, 547-549 (2002).
8. E. Ozbay, I. Bulu, K. Aydin, H. Caglayan, and K. Guven, "Physics and applications of photonic crystals," Photonics Nanostruct. Fundam. Appl. 2, 87-95 (2004).
9. S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Hauss, "Channel drop tunneling through localized states," Phys. Rev. Lett. 80, 960-963 (1998).
10. S. Noda, "Three-dimensional photonic crystals operating at optical wavelength region," Physica B 279, 142-149 (2000).
11. H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystal," Phys. Rev. B 58, R10096-R10099 (1998).
12. H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Photonic crystals for micro lightwave circuits using wavelength-dependent angular beam steering," Appl. Phys. Lett. 74, 1370-1372 (1999).
13. T. Matsumoto, S. Fujita, and T. Baba, "Wavelength demultiplexer consisting of photonic crystal superprism and superlens," Opt. Express 13, 10768-10776 (2005).
14. B. Momeni and B. A. Adibi, "Optimization of photonic crystal demultiplexers based on the superprism effect," Appl. Phys. B 77, 555-560 (2003).
15. A. Lupu, E. Cassan, S. Laval, L. El. Melhaoui, P. Lyan, J. M. Fedeli, "Experimental evidence for superprism phenomena in SOI photonic crystals," Opt. Express 12, 5690-5696 (2004).
16. V. Berger, "Nonlinear photonic crystals," Phys. Rev. Lett. 81, 4136-4139 (1998).
17. A. R Cowan and J. F. Young, "Mode matching for second-harmonic generation in photonic crystal waveguides," Phys. Rev. B 65, 85106-85112 (2002).
18. J. Torres, D. Coquillat, R. Legros, J. P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, O. Briot, M. Le Vassor d'Yerville, E. Centeno, D. Cassagne, and J. P. Albert, "Giant second-harmonic generation in a one-dimensional GaN photonic crystal," Phys. Rev. B 69, 085105-085113 (2004).
19. 3 waveguide periodically poled by applying an external field for efficient blue second-harmonic generation," Appl. Phys. Lett. 62, 435-436 (1993).
20. S. N. Zhu, Y. Y. Zhu, and N. B. Ming, "Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice," Science 278, 843-846 (1997).
21. M. Scalora, M. J. Bloemer, A. S. Manka, J. P. Dowling, C. M. Bowden, R. Viswanathan, and J. W. Haus, "Pulsed second-harmonic generation in nonlinear, one-dimensional, periodic structures," Phys. Rev. A 56, 3166-3174 (1997).
22. M. Centini, C. Sibilia, M. Scalora, G. D'Aguanno, M. Bertolotti, M. J. Bloemer, C. M. Bowden, and I. Nefedov, "Dispersive properties of finite one-dimensional photonic bandgap structures: applications to nonlinear quadratic interactions," Phys. Rev. E 60, 4891-4898 (1999).
23. Y. Dumeige, I. Sagnes, P. Monnier, P. Vidakovic, I. Abram, C. Mériadec, and A. Levenson, "Phase-matched frequency doubling at photonic band edges: efficiency scaling as the fifth power of the length," Phys. Rev. Lett. 89, 43901-43904 (2002).
24. J. Martorell, R. Vilaseca, and R. Corbolan, "Second-harmonic generation in a photonic crystal," Appl. Phys. Lett. 70, 702-704 (1997).
25. J. Trull, R. Vilaseca, J. Martorell, and R. Cordobàn "Second-harmonic generation in local modes of a truncated periodic structure," Opt. Lett. 20, 1746-1750 (1995).
26. F. Ren, R. Li, C. Cheng, H. Wang, J. Qiu, J. Si, and K. Hirao, "Giant enhancement of second harmonic generation in a finite photonic crystal with a single defect and dual-localized modes," Phys. Rev. B 70, 245109-245113 (2004).
27. A. M. Malvezzi, G. Vecchi, M. Patrini, G. Guizetti, L. C. Andreani, F. Romanato, L. Businaro, E. DiFabrizio, A. Passaseo, and M. De Vittorio, "Resonant second-harmonic generation in a GaAs photonic crystal waveguide," Phys. Rev. B 68, 161306-161310 (2003).
28. (2) interactions," Phys. Rev. E 64, 016609-016618 (2001).
29. B. Shi, Z. M. Jiang, X. F. Zhou, and X. Wang, "A two-dimensional nonlinear photonic crystal for strong second-harmonic generation," J. Appl. Phys. 91, 6769-6771 (2002).
30. E. Centeno, "Second-harmonic superprism effect in photonic crystals," Opt. Lett. 30, 1054-1056 (2005).
31. E. Centeno and D. Felbacq, "Rigorous vector diffraction of electromagnetic waves by bidimensional photonic crystals," J. Opt. Soc. Am. A 17, 320-327 (2000).
32. D. Felbacq, G. Tayeb, and D. Maystre, "Scattering by a random set of parallel cylinders," J. Opt. Soc. Am. A 11, 2526-2533 (1994).
33. H. A. Yousif and S. Kohler, "Scattering by two penetrable cylinders at oblique incidence," J. Opt. Soc. Am. A 5, 1085-1096 (1988).
34. L.-M. Li and Z.-Q. Zhang, "Multiple-scattering approach to finite-sized photonic bandgap materials," Phys. Rev. B 58, 9587-9590 (1998).
35. E. Centeno and D. Felbacq, "Optical bistability in finite-size nonlinear bidimensional photonic crystals doped by a microcavity," Phys. Rev. B 62, R7683-R7686 (2000).
36. P. Xie and Z.-Q. Zhang, "Multifrequency gap solitons in nonlinear photonic crystals," Phys. Rev. Lett. 91, 213904-213908 (2003).
37. C. I. Valencia, E. R. Méndez, and B. S. Mendoza, "Second-harmonic generation in the scattering of light by an infinite cylinder," J. Opt. Soc. Am. B 21, 36-44 (2004).
38. M. Abramovitz and I. Stegun, Handbook of Mathematical Functions (Dover, 1970).
39. 1-xN/GaN quantum wells," Appl. Phys. Lett. 75, 3611-3613 (1999).
40. S. Johnson and J. Joannopoulos, "Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis," Opt. Express 8, 173-190 (2001).
41. 1-xN grown on (111)Si substrates," J. Appl. Phys. 93, 5222-5226 (2003).
42. A. L. Cabuz, E. Centeno, and D. Cassagne, "Superprism effect in bidimensional rectangular photonic crystals," Appl. Phys. Lett. 84, 2031-2033 (2004).
43. E. Centeno and D. Cassagne, "Graded photonic crystals," Opt. Lett. 30, 2278-2280 (2005).