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Photonic crystal wires for optical parametric oscillators in isotropic media

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Abstract

We investigate four wave mixing in photonic crystal wire microresonators realized in an isotropic medium. One-dimensional optical parametric oscillators are numerically analyzed by solving Maxwell’s equations in all dimensions and including material dispersion as well as nonlinear polarization.

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References

  1. S. John: Phys. Rev. Lett. 58, 2486 (1987)

    Article  ADS  Google Scholar 

  2. E. Yablonovitch: Phys. Rev. Lett. 58, 2059 (1987)

    Article  ADS  Google Scholar 

  3. J.D. Joannopoulos, P.R. Villeneuve, S. Fan: Photonic Crystals (Princeton University Press, Princeton 1995)

  4. K. Sakoda: Optical Properties of Photonic Crystals (Springer Verlag, Berlin 2001)

  5. R.D. Meade, A. Devenyi, J.D. Joannopoulos, O.L. Alerhand, D.A. Smith , K. Kash: J. Appl. Phys. 75, 4753 (1994)

    Article  ADS  Google Scholar 

  6. C. Conti, S. Trillo, G. Assanto: Phys. Rev. Lett. 85, 2502 (2000)

    Article  ADS  Google Scholar 

  7. S.F. Mingaleev, Y.S. Kivshar: J. Opt. Soc. Am. B 19, 2241 (2002)

    Article  ADS  Google Scholar 

  8. M.F. Yanik, S. Fan, M. Soljačić: Appl. Phys. Lett. 14, 2739 (2003)

    Article  ADS  Google Scholar 

  9. J.S. Foresi, P.R. Villeneuve, J. Ferrera, E.R. Thoen, G. Steinmeyer, S. Fan , J.D. Joannopoulos, L.C. Kimerling, H.I. Smith, E.P. Ippen: Nature 390, 143 (1997)

    Article  ADS  Google Scholar 

  10. O. Painter, R.K. Lee, A. Scherer, A. Yariv, J. D. O’Brien, P.D. Dapkus, I. Kim : Science 284, 1819 (1999)

    Article  Google Scholar 

  11. A. Blanco, E. Chomski, S. Grabtchak, M. Ibisate, S. John, S.W. Leonard, C. Lopez, F. Meseguer, H. Miguez, J.P. Mondia, G.A. Ozin, O. Toader, H.M. Van Driel: Nature 405, 437 (2000)

    Article  ADS  Google Scholar 

  12. J. Vučković, M. Lončar, H. Mabuchi, A. Scherer: IEEE J. Quantum Electron. QE-38, 850 (2002)

  13. H.Y. Ryu, M. Notomi, Y.H. Lee: Phys. Rev. B 68, 045209 (2003)

    Article  ADS  Google Scholar 

  14. J.P. Zhang, D.Y. Chu, S.L. Wu, W.G. Bi, R.C. Tiberio, R.M. Joseph, A. Taflove , C.W. Tu, S.T. Ho: IEEE Photon. Technol. Lett. 8, 491 (1996)

    Article  ADS  Google Scholar 

  15. J. Koga: Opt. Lett. 24, 408 (1999)

    Article  ADS  Google Scholar 

  16. J.L. Young, R.O. Nelson: IEEE Antennas Propagat. Mag. 43, 61 (2001)

    Article  ADS  Google Scholar 

  17. A. Taflove, S.C. Hagness: Computational Electrodynamics: the FDTD method (Artech House, London 2002)

  18. R.R. Ziolkowsky, E. Heyman: Phys. Rev. E 64 056625 (2001)

  19. M.A. Afromovitz: Solid State Commun. 15, 59 (1974)

    Article  ADS  Google Scholar 

  20. M.B. Marques, G. Assanto, G.I. Stegeman, G.R. Mohlmann, E.W.P. Erdhuisen, W. Horsthuis: Appl. Phys. Lett. 58, 2613 (1991)

    Article  ADS  Google Scholar 

  21. I.C. Khoo: Liquid crystals: Physical Properties and nonlinear Optical Phenomena (Wiley, New York 1995)

  22. J.A. Aitchison, D.C. Hutchings, J.U. Kang, G.I. Stegeman, A. Villeneuve: IEEE J. Quantum Electron. QE-33, 341 (1997)

  23. R.E. Collin: Field Theory of Guided Waves (Oxford University Press, Oxford 1990)

  24. S. Boscolo, C. Conti, M. Midrio, C.G. Someda: IEEE J. Lightwave Technol. 20, 304 (2002)

    Article  ADS  Google Scholar 

  25. A.S. Jugessur, P. Pottier, R.M. De La Rue: Electron. Lett. 34, 367 (2003)

    Article  Google Scholar 

  26. P.R. Villeneuve, S. Fan, J.D. Joannopoulos: Phys. Rev. B 54, 7837 (1996)

    Article  ADS  Google Scholar 

  27. D.J. Ripin, K.Y. Lin, G.S. Petrich, P.R. Villeneuve, S. Fan, E.R. Tohen, J.D. Joannopoulos, E.P. Ippen, L.A. Kolodziejski: IEEE J. Lightwave Technol. 17, 2152 (1999)

    Article  ADS  Google Scholar 

  28. A. Yariv, W. Louisell: IEEE J. Quantum Electron. QE-2, 418 (1996)

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Authors and Affiliations

  1. NOOEL-Nonlinear Optics and OptoElectronics Laboratory, National Institute for the Physics of the Matter (INFM), University “Roma Tre”, Via della Vasca Navale 84, 00186, Rome, Italy

    A. Di Falco, C. Conti & G. Assanto

Authors
  1. A. Di Falco
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  2. C. Conti
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  3. G. Assanto
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Corresponding author

Correspondence to G. Assanto.

Additional information

PACS

42.65.Yj; 42.70.Qs; 42.82.Gw

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Di Falco, A., Conti, C. & Assanto, G. Photonic crystal wires for optical parametric oscillators in isotropic media. Appl. Phys. B 79, 9–13 (2004). https://doi.org/10.1007/s00340-004-1504-8

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  • DOI: https://doi.org/10.1007/s00340-004-1504-8

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