Quadratic Interactions in Finite, One-Dimensional, Photonic Band Gap Structures with Deep Gratings: beyond the Undepleted Pump Regime

• Authors: G. D'Aguanno , M. Centini , M. Scalora , C. Sibilia , M. Bertolotti , Ch. Bowden , M. Bloemer
• Languages of publication: EN

Abstracts

EN

We theoretically study quadratic interactions in finite, one-dimensional, photonic band gap structures with deep gratings, under strong pumping and global phase matching conditions. For second harmonic generation, we find that above a certain input intensity a dynamics reminiscent of a competitive, multi-wave mixing process takes hold: the pump field is mostly reflected, revealing a novel type of optical limiting behavior, while forward and backward generation is generally balanced. We also study the case of parametric down-conversion, where an intense second harmonic signal is injected in order to control a much weaker fundamental beam. Our results reveal the onset of a new process that has no counterpart in bulk materials: both transmission and reflection display an unexpected, unusual, resonance-like effect as functions of input second harmonic power.

Keywords

EN

42.65.Ky

Discipline

• 42.65.Ky: Frequency conversion; harmonic generation, including higher-order harmonic generation(see also 42.79.Nv Optical frequency converters)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2003
• Volume: 103
• Issue: 2-3
• Pages: 249-262

Dates

published

2003-02/03

received

2002-09-05

Contributors

author

G. D'Aguanno

• INFM at Dipartimento di Energetica, Università di Roma "La Sapienza", via A. Scarpa 16, 00161 Roma, Italy
• Weapons Sciences Directorate, Research Development and Engineering Center, U.S. Army Aviation and Missile Command, Building 7804, Redstone Arsenal, AL 35898-5000, USA

author

M. Centini

• INFM at Dipartimento di Energetica, Università di Roma "La Sapienza", via A. Scarpa 16, 00161 Roma, Italy
• Weapons Sciences Directorate, Research Development and Engineering Center, U.S. Army Aviation and Missile Command, Building 7804, Redstone Arsenal, AL 35898-5000, USA

author

M. Scalora

• Weapons Sciences Directorate, Research Development and Engineering Center, U.S. Army Aviation and Missile Command, Building 7804, Redstone Arsenal, AL 35898-5000, USA

author

C. Sibilia

• INFM at Dipartimento di Energetica, Università di Roma "La Sapienza", via A. Scarpa 16, 00161 Roma, Italy

author

M. Bertolotti

• INFM at Dipartimento di Energetica, Università di Roma "La Sapienza", via A. Scarpa 16, 00161 Roma, Italy

author

Ch. Bowden

• Weapons Sciences Directorate, Research Development and Engineering Center, U.S. Army Aviation and Missile Command, Building 7804, Redstone Arsenal, AL 35898-5000, USA

author

M. Bloemer

• Weapons Sciences Directorate, Research Development and Engineering Center, U.S. Army Aviation and Missile Command, Building 7804, Redstone Arsenal, AL 35898-5000, USA

References

• 1. E. Yablonovitch, Phys. Rev. Lett., 58, 2059, 1987
• 2. S. John, Phys. Rev. Lett., 58, 2486, 1987
• 3. J.C. Knight, T.A. Birks, P.St.J. Russel, D.M. Atkin, Opt. Lett., 21, 1547, 1996
• 4. J.D. Joannopoulos, P.R. Villeneuve, S.H. Fan, Nature, 386, 143, 1997
• 5. M.J. Bloemerm, M. Scalora, Appl. Phys. Lett., 72, 1676, 1998
• 6. M. Scalora, M.J. Bloemer, C.M. Bowden, G. D'Aguanno, M. Centini, C. Sibilia, M. Bertolotti, Y. Dumeige, I. Sagnes, P. Vidakovic, A. Levenson, Opt. and Photon. News, 12, 36, 2001
• 7. Y. Dumeige, P. Vidakovic, S. Sauvage, I. Sagnes, J.A. Levenson, C. Sibilia, M. Centini, G. D'Aguanno, M. Scalora, Appl. Phys. Lett. , 78, 3021, 2001
• 8. G. D'Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, J.A. Levenson, M.J. Bloemer, C.M. Bowden, J.W. Haus, M. Bertolotti, Phys. Rev. E, 64, 16609, 2001
• 9. Nanoscale Linear and Nonlinear Optics, Eds. M. Bertolotti, C.M. Bowden, C. Sibilia, AIP Conf. Proc., Vol. 560, AIP, New York 2001
• 10. M. Scalora, M.J. Bloemer, A.S. Manka, J.P. Dowling, C.M. Bowden, R. Viswanathan, J.W. Haus, Phys. Rev. A, 56, 3166, 1997
• 11. C. Cojocaru, J. Martorell, R. Villaseca, E. Fazio, J. Trull, Appl. Phys. Lett., 74, 504, 1999
• 12. A.V. Balakin, D. Boucher, V.A. Bushev, N.I. Koroteev, B.I. Mantsyzov, P. Masselin, I.A. Ozheredov, A.P. Shurinov, Opt. Lett., 24, 793, 1999
• 13. M. Centini, C. Sibilia, M. Scalora, G. D'Aguanno, M. Bertolotti, M. Bloemer, C.M. Bowden, I. Nefedov, Phys. Rev. E, 60, 4891, 1999
• 14. G. D'Aguanno, M. Centini, C. Sibilia, M. Bertolotti, M. Scalora, M. Bloemer, C.M. Bowden, Opt. Lett., 24, 1663, 1999
• 15. S. Saltiel, Y.S. Kivshar, Opt. Lett., 25, 1204, 2000
• 16. A.M. Zheltikov, A.V. Tarasishin, S.A. Magnitski, JETP, 91, 298, 2000
• 17. G. D'Aguanno, E. Angelillo, C. Sibilia, M. Scalora, M. Bertolotti, J. Opt. Soc. Am. B, 17, 1188, 2000
• 18. C. De Angelis, F. Gringoli, M. Midrio, D. Modotto, J.S. Aitchison, G.F. Nalesso, J. Opt. Soc. Am. B, 18, 348, 2001
• 19. M. Centini, G. D'Aguanno, M. Scalora, C. Sibilia, M. Bertolotti, M.J. Bloemer, C.M. Bowden, Phys. Rev. E, 64, 46606, 2001
• 20. G. D'Aguanno, M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M.J. Bloemer, C.M. Bowden, J. Opt. Soc. Am. B, 19, 2111, 2002 and references therein
• 21. W.H. Press, B.P. Flannery, S.A. Teukolsky, W.T. Vetterling, Numerical Recipies in C, Cambridge University Press, Cambridge 1988
• 22. M. Centini, C. Sibilia, G. D'Aguanno, M. Scalora, M.J. Bloemer, C.M. Bowden, M. Bertolotti, Opt. Commun., 184, 283, 2000
• 23. D.S. Bethune, J. Opt. Soc. Am. B, 6, 910, 1995
• 24. N. Hashizume, M. Ohashi, T. Kondo, R. Ito, J. Opt. Soc. Am. B, 12, 1894, 1995
• 25. A. Nayfeh, John Wiley and Sons, New York 1993
• 26. C.M. de Sterke, J.E. Sipe, Phys. Rev. A, 38, 5149, 1988
• 27. J.W. Haus, R. Viswanathan, M. Scalora, A.G. Kalocsai, J.D. Cole, J. Theimer, Phys. Rev. A, 57, 2120, 1998
• 28. O. Di Stefano, S. Savasta, R. Girlanda, J. Mod. Opt., 48, 67, 2001
• 29. P. Yeh, Optical Waves in Layered Media, John Wiley and Sons, New York 1988
• 30. J.M. Bendickson, J.P. Dowling, M. Scalora, Phys. Rev E, 53, 4107, 1996
• 31. A. Arraf, C.M. de Sterke, Phys. Rev. E, 58, 7951, 1998, and references therein
• 32. C. Conti, G. Assanto, S. Trillo, Opt. Expr., 3, 389, 1998, and refrences therein
• 33. M. Scalora, J.P. Dowling, C.M. Bowden, M.J. Bloemer, Phys. Rev. Lett., 73, 1368, 1994
• 34. G. D'Aguanno, M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M.J. Bloemer, C.M. Bowden, to appear in Phys. Rev. E, (2003)
• 35. S. Trillo, C. Conti, G. Assanto, A.V. Buryak, Chaos, 10, 590, 2000, and references therein
• 36. A.L. Belostosky, A.S. Leonov, A.V. Maleshko, Opt. Lett., 19, 856, 1994
• 37. G. D'Aguanno, C. Sibilia, E. Fazio, M. Bertolotti, Opt. Commun., 142, 75, 1997
• 38. G. D'Aguanno, C. Sibilia, E. Fazio, E. Ferrari, M. Bertolotti, J. Mod. Opt., 45, 1049, 1998
• 39. G. D'Aguanno, M. Centini, M. Scalora, C. Sibilia, M.J. Bloemer, C.M. Bowden, J.W. Haus, M. Bertolotti, Phys. Rev. E, 63, 36610, 2001

Identifiers

DOI

10.12693/APhysPolA.103.249