Mode matching for second-harmonic generation in photonic crystal waveguides

Physical Review B - Condensed Matter and Materials Physics

Volumn 65, Issue 8, 2002, Pages 1-6

  Cowan, A R ^a   Young, Jeff F ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

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Indexed keywords

EID: 79955670363     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.65.085106     Document Type: Article

References (28)

1. A. Blanco, E. Chomski, S. Gradtchak, M. Ibisate, S. John, S. W. Leonard, C. Lopez, F. Meseguer, H. Miguez, J. P. Mondia, G. A. Ozin, O. Toader, and Henry M. van Driel, Nature (London) 405, 437 (2000).
2. S. John, Phys. Rev. Lett. 58, 2486 (1987).
3. E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
4. J. D. Joannopoulos, Pierre R. Villeneuve, and Shanhui Fan, Nature (London) 386, 143 (1997).
5. E. Yablonovitch, T. J. Gmitter, and K. M. Leung, Phys. Rev. Lett. 67, 2295 (1991).
6. S. John and J. Wang, Phys. Rev. B 43, 12 772 (1991).
7. T. Quang, M. Woldeyohannes, S. John, and G. S. Agarwal, Phys. Rev. Lett. 79, 5238 (1997).
8. H. G. Winful and V. Perlin, Phys. Rev. Lett. 84, 3586 (2000).
9. S. John and T. Quang, Phys. Rev. Lett. 76, 2484 (1996).
10. Zhi-Yuan Li, Lan-Lan Lin, and Zhao-Qing Zhang, Phys. Rev. Lett. 84, 4341 (2000).
11. J. Trull, R. Vilaseca, Jordi Martorell, and R. Corbalan, Opt. Lett. 20, 1746 (1995).
12. C. De Angelis, F. Gringoli, M. Midrio, D. Modotto, J. S. Aitchison, and G. F. Nalesso, J. Opt. Soc. Am. B 18, 348 (2001).
13. M. J. Steel and C. Martijn de Sterke, Appl. Opt., 35, 3211 (1996).
14. M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertolotti, M. J. Bloemer, C. M. Bowden, and I. Nefedov, Phys. Rev. E 60, 4891 (1999).
15. M. Scalora, M. J. Bloemer, A. S. Manka, J. P. Dowling, C. M. Bowden, R. Viswanathan, and J. W. Haus, Phys. Rev. A 56, 3166 (1997).
16. K. Sakoda and K. Ohtaka, Phys. Rev. B 54, 5742 (1996).
17. V. Berger, Phys. Rev. Lett. 81, 4136 (1998).
18. Jordi Martorell, R. Vilaseca, and R. Corbalan, Appl. Phys. Lett. 70, 702 (1997).
19. Joshua N. Winn, Shanhui Fan, John D. Joannopoulos, and Erich P. Ippen, Phys. Rev. B 59, 1551 (1999).
20. V. N. Astratov, D. M. Whittaker, I. S. Culshaw, R. M. Stevenson, M. S. Skolnick, T. F. Krauss, and R. M. De La Rue, Phys. Rev. B 60, R16 255 (1999).
21. D. Labilloy, H. Benisty, C. Weisbuch, C. J. M. Smith, T. F. Krauss, R. Houdre, and U. Oesterle, Phys. Rev. B 59, 1649 (1999).
22. M. Boroditsky, R. Vrijen, T. F. Krauss, R. Coccioli, R. Bhat, and E. Yablonovitch, J. Lightwave Technol. 17, 2096 (1999).
23. V. Pacradouni, W. J. Mandeville, A. R. Cowan, P. Paddon, Jeff F. Young, and S.R. Johnson, Phys. Rev. B 62, 4204 (2000).
24. A. R. Cowan, P. Paddon, V. Pacradouni, and Jeff F. Young, J. Opt. Soc. Am. A 18, 1160 (2001).
25. We assume the value of (formula presented) for GaAs to be 238 pm/V (Ref. 26). Since the incident field is assumed to have an amplitude of 1 stv/cm or (formula presented), and the corresponding intensity of the second harmonic is (formula presented), we conclude that the approximation of an undepleted pump is valid.
26. Nonlinear Optics in Semiconductor II, edited by E. Garmire and A. Kost, Semiconductors and Semimetals Vol. 59 (Academic Press, Toronto, 1999), p 33.
27. P. Paddon and Jeff F. Young, Phys. Rev. B 61, 2090 (2000).
28. This resonant cavity effect was discussed in the context of weak 1D gratings on waveguides byE. Popov and M. Neviere, J. Opt. Soc. Am. B 11, 1555(1994).