Equifrequency surfaces in a two-dimensional GaN-based photonic crystal

Optics Express

Volumn 12, Issue 6, 2004, Pages 1097-1108

  Coquillat, D ^a   Torres, J ^a   Peyrade, D ^a   Legros, R ^a   Lascaray, J P ^a   Le Vassor d'Yerville, M ^a   Centeno, E ^a   Cassagne, D ^a   Albert, J P ^a   Chen, Y ^b   De La Rue, R M ^c  

^a UNIVERSITÉ MONTPELLIER 2   (France)

^b UNIV PARIS SUD   (France)

^c UNIVERSITY OF GLASGOW   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BANDWIDTH; GALLIUM NITRIDE; NONLINEAR OPTICS; OPTICAL MATERIALS; SECOND HARMONIC GENERATION; SEMICONDUCTOR MATERIALS; SURFACE STRUCTURE;

PHOTONIC CRYSTALS; QUASI-PHASE MATCHING;

CRYSTALS;

EID: 3242802090     PISSN: 10944087     EISSN: None     Source Type: Journal    
DOI: 10.1364/OPEX.12.001097     Document Type: Article

References (38)

1. J.D Jouannopoulos, R.D. Meade, J.N. Winn, Photonic Crystals, Molding the Flow of Light (Princeton, NJ: Princeton University Press, (1995).
2. st Century (Kluwer Academic: Dordrecht, The Netherlands, (2001).
3. J.M. Lourtioz, H. Benisty, V. Berger, J.M. Gérard, D. Maystre, A. Tchelnokov, Les cristaux photoniques, ou la lumière en cage (Coll. Technique et scientifique des télécommunications, Lavoisier, 2003).
4. For recent review see Focus Issue "Nonlinear Optics and Photonic Crystals," (NOPC), Edited by C.M. Bowden and A.M. Zheltikov, J. Opt Soc. Am. B 19, 2046-2296 (2002).
5. J. Miragliotta, D.K. Wickenden, T.J. Kistenmacher, W.A. Bryden, "Linear- and nonlinear-optical properties of GaN thin films," J. Opt. Soc. Am. B 10, 1447-1456 (1993).
6. J. Miragliotta, D.K. Wickenden, "Nonlinear electroreflectance from gallium nitride using optical second-harmonic generation," Phys. Rev. B 53, 1388-1397 (1996).
7. H. Y. Zhang, X.H. He, Y.H. Shih, M. Schurman, Z.C. Feng, R.A. Stall, "Study of nonlinear optical effects in GaN:Mg epitaxial film," Appl. Phys. Lett. 69, 2953-2955 (1996).
8. D.N. Hahn, G.T. Kiehne, J.B. Ketterson, G.K.L. Wong, P. Kung, A. Saxler, M. Razeghi, "Phase-matched optical second-harmonic generation in GaN and A1N slab waveguides," J. Appl. Phys. 85, 2497-2501 (1999).
9. I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, H.L. Hartnagel, "nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference," Appl. Phys. Lett. 76, 810-812 (2000). I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, H.L. Hartnagel, "nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference," Appl. Phys. Lett. 76, 810-812 (2000).
10. I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, H.L. Hartnagel, "nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference," Appl. Phys. Lett. 76, 810-812 (2000). I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, H.L. Hartnagel, "nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference," Appl. Phys. Lett. 76, 810-812 (2000).
11. A. Chowdhury, H.M. Ng, M. Bhardwaj, N.G. Weimann, "Second-harmonic generation in periodically poled GaN," Appl. Phys. Lett. 83, 1077-1079 (2003).
12. I. Shoji, T. Kondo, R. Ito, "Second-order nonlinear susceptibilities of various dielectric and semiconductor material," Opt Quantum Electron. 34, 797-833 (2002).
13. S. Nakamura and G. Fasol, The Blue Green Diode (Springer, Berlin, 1997).
14. A. Kasic, M. Schubert, S. Einfeldt, D. Hommel, T.E. Tiwald, "Free-carrier and phonon properties of n- and p-type hexagonal GaN films measured by infrared ellipsometry," Phys. Rev B 62, 7365-7377 (2000).
15. M. Scalora, M.J. Bloemer, A.S. Manka, J.P. Dowling, C.M. Bowden, R. Viswanaman, J.W. Haus, "Pulsed second-harmonic generation in nonlinear, one-dimensional, periodic structures," Phys. Rev. A 56, 3166-3174 (1997).
16. M. Centini, C. Sibilia, M. Scalora, G. D'Aguanno, M. Bertollotti, M.J. Bloemer, C.M. Bowden, I. Nefedov, "Dispersive properties of finite, one-dimensional photonic band gap structures: Applications to nonlinear quadratic interactions," Phys. Rev. E 60, 4891-4898 (1999).
17. A.V. Balakin, V.A. Bushuev, B.I. Mantsyzov, I.A. Ozheredov, E.V. Petrov, A.P. Shkurinov, P. Masselin, G. Mouret, "Enhancement of sum frequency generation near photonic band gap edge under the quasiphase matching conditions," Phys. Rev. E 63, 46609-1 to 46609-11 (2001).
18. (2) interactions," Phys. Rev. E 64, 16609-1 to 16609-9 (2001)
19. Y. Dumeige, P. Vidakovic, S. Sauvage, I Sagnes, J.A. Levenson, C. Sibilia, M. Centini, G. D'Aguanno, M. Scalora, "Enhancement of second-harmonic generation in a one-dimensional semiconductor photonic band gap," Appl. Phys. Lett 78, 3021-3023 (2001).
20. V.N. Astratov, R.M. Stevenson, I.S. Culshaw, D.M. Whittaker, M.S. Skolnick, T.F. Krauss, R.M. De La Rue, "Heavy photon dispersions in photonic waveguides," Appl. Phys. Lett., 77, 178-180 (2000).
21. V. Pacradouni, W.J. Mandeville, A.R. Cowan, P. Paddon, J.F. Young, S.R. Johnson, "Photonic band structure of dielectric membranes periodically textured in two dimensions," Phys. Rev. B 62, 4204-4207 (2000).
22. R. Reinisch, M. Nevière, "Electromagnetic theory of diffraction in nonlinear optics and surface-enhanced nonlinear optical effects," Phys. Rev. B 28, 1870-1885 (1983).
23. A.R. Cowan, J.F. Young, "Mode matching for second-harmonic generation in photonic crystal waveguides," Phys. Rev. B 65, 85106-1 to 85106-6 (2002).
24. A.M. Malvezzi, F. Cattaneo, G. Vecchi, M. Falasconi, G. Guizzetti, L.C. Andreani, F. Romanato, L. Businaro, E. Di Fabrizio, A. Passaseo, M. De Vittorio, "Second-harmonic generation in reflection and diffraction by a GaAs photonic-crystal waveguide," J. Opt. Soc. Am. B 19, 2122-2128 (2002).
25. A.M. Malvezzi, G. Vecchi, M. Patrini, G. Guizzetti, L.C. Andreani, F. Romanato, L. Businaro, E. Di Fabrizio, A. Passaseo, M. De Vittorio, "Resonant second-harmonic generation in a GaAs photonic crystal waveguide," Phys. Rev. B 68, 161306(R)-1 to 161306-4 (2003).
26. J. Torres, D. Coqufflar R. Legros, J.P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, M. Le Vassor d'Yerville, E. Centeno, D. Cassagne, J.P. Albert, "Giant second-harmonic generation in a one-dimensional GaN photonic crystal" Phys. Rev. B 69, 85105-1 to 85105-8 (2004).
27. H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, S. Kawakami, "Superprism phenomena in photonic crystals," Phys. Rev. B 58, R10096-R10099 (1998).
28. H. Kosaka, A. Tomita, T. Kawashima, T. Sato, S. Kawakami, "Splitting of triply degenerate refractive indices by photonic crystals," Phys. Rev. B 62, 1477-1480 (2000).
29. B. Gralak, S. Enoch, G. Tayeb, "Anomalous refractive properties of photonic crystals," J. Opt Soc. Am. A 17, 1012-1020 (2000).
30. M. Notomi, T. Tamamura, Y. Ohtera, O. Hanaizumi, S. Kawakami, "Direct visualisation of photonic band structure for three-dimensional photonic crystals," Phys. Rev. B 61, 7165-7168 (2000).
31. 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).
32. J.M. Pottage, E. Silvestre, P. St. Russell, "Vertical-cavity surface-emitting resonances in photonic crystal films," J. Opt Soc. Am. A 18, 442-447 (2001).
33. M.C. Netti, A. Harris, J.J. Baumberg, D.M. Whittaker, M.B.D. Cnarlton, M.E. Zoorob, G.J. Parker, "Optical trirefringence in photonic crystal waveguides," Phys. Rev. lett. 86, 1526-1529 (2001).
34. Baba, T. Matsumoto, "Resolution of photonic crystal superprism," Appl. Phys. Lett. 81, 2325-2327 (2002).
35. D. M. Whittaker, I. S. Culshaw, "Scattering-matrix treatment of patterned multiplayer photonic structures," Phys. Rev. B 60, 2610-2618 (1999).
36. D. Coquillat, A. Ribayrol, R.M. De La Rue, M. Le Vassor d'Yerville, D. Cassagne, J.P. Albert, "Observations of band structure and reduced group velocity in epitaxial GaN-sapphire 2D photonic crystals," Appl. Phys. B 73, 591-593 (2001).
37. M. Galli, M. Agio, L.C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, P. Bellutti, "Spectroscopy of photonic bands in macroporous silicon photonic crystals," Phys. Rev B 65, 113111-1 to 113111-4 (2002).
38. J.P. Mondia, H.M. Van Driel, W. Jiang, A.R. Cowan, J.F. Young, "Enhanced second-harmonic generation from planar photonic crystals," Opt Lett 28, 2500-2502 (2003).