Skip to main content
Log in

Compression of ultra-short pulses due to cascaded second order nonlinearities in photonic bandgap structures

  • Regular Article
  • Published:
The European Physical Journal D Aims and scope Submit manuscript

Abstract

The cascaded second order nonlinearities in a 1-D photonic bandgap structure (1-D PBG) in the spectral domain have been explored. A weak signal pulse operating at frequency of interest is seeded with a strong pulse operating at its second harmonic (SH) frequency. The interaction of both pulses in the periodic structure takes place with a particular phase mismatch condition. The intensity of SH pulse controls the propagation of signal pulse and the signal pulse exhibits pulse compression at particular input SH intensity. Considering the parameter for GaInP/InAlP PBG structure we have demonstrated pulse compression from 290 fs to 155 fs. The dependency of pulse compression on the structural parameters, group velocity mismatch, group velocity dispersion and input intensity of pump has also been explored.

Graphical abstract

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. G.I. Stegeman, D.J. Hagan, L. Torner, Opt. Quantum Electron. 28, 1691 (1996)

    Article  Google Scholar 

  2. R. DeSalvo, D.J. Hagan, M. Sheik-Bahae, G. Stegeman, E.W. Van Stryland, Opt. Lett. 17, 28 (1992)

    Article  ADS  Google Scholar 

  3. Z.Y. Ou, Opt. Commun. 124, 430 (1995)

    Article  ADS  Google Scholar 

  4. X. Liu, L. Qian, F.W. Wise, Opt. Lett. 24, 1777 (1999)

    Article  ADS  Google Scholar 

  5. A. Kobyakov, E. Schmidt, F. Lederer, J. Opt. Soc. Am. B 14, 3242 (1997)

    Article  ADS  Google Scholar 

  6. Y.-P. Chen, W.-J. Lu, Y-X. Xia, X-F. Chen, Opt. Exp. 19, 5213 (2011)

    Article  ADS  Google Scholar 

  7. X. Zeng, S. Ashihara, X. Chen, T. Shimura, K. Kuroda, Opt. Commun. 281, 4499 (2008)

    Article  ADS  Google Scholar 

  8. G. Xie, D. Zhang, L. Qian, H. Zhu, D. Tang, Opt. Commun. 273, 207 (2007)

    Article  ADS  Google Scholar 

  9. X. Zeng, H. Guo, B. Zhou, M. Bache, Opt. Exp. 20, 27071 (2012)

    Article  ADS  Google Scholar 

  10. J. Moses, F.W. Wise, Phys. Rev. Lett. 97, 073903 (2006)

    Article  ADS  Google Scholar 

  11. X. Zeng, S. Ashihara, Z. Wang, T. Wang, Y. Chen, M. Cha, Opt. Exp. 17, 16877 (2009)

    Article  ADS  Google Scholar 

  12. G. D’Aguanno, E. Angelillo, C. Sibilia, M. Bertolotti, M. Scalora, J. Opt. Soc. Am. B 17, 1188 (2000)

    Article  ADS  Google Scholar 

  13. 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)

    Article  ADS  Google Scholar 

  14. C. Cojocaru, J. Martorell, J. Opt. Soc. Am. B 19, 2141 (2002)

    Article  ADS  Google Scholar 

  15. A. Yariv, P. Yeh, Optical Waves in Crystas (Wiley, New York, 1980)

  16. N.I. Koroteev, S.A. Magnitskii, A.V. Tarasishin, A.M. Zheltikov, Opt. Commun. 159, 191 (1999)

    Article  ADS  Google Scholar 

  17. G. D’Aguanno, M. Centini, C. Sibilia, M. Bertolotti, M. Scalora, M.J. Bloemer, C.M. Bowden, Opt. Lett. 24, 1663 (1999)

    Article  ADS  Google Scholar 

  18. C. Cojocaru, J. Martorell, R. Vilaseca, J. Trull, E. Fazio, Appl. Phys. Lett. 74, 504 (1999)

    Article  ADS  Google Scholar 

  19. G. Assanto, Z. Wang, D.J. Hagan, E.W. Van, Appl. Phys. Lett. 67, 2120 (1995)

    Article  ADS  Google Scholar 

  20. L. Lefort, A. Barthelemy, Opt. Commun. 119, 163 (1995)

    Article  ADS  Google Scholar 

  21. X. Zhan, J. Hu, X. Zeng, T. Wang, in Proc. of SPIE-OSA-IEEE Asia Commun. and Photonics (SPIE, 2011), Vol. 8307

  22. A.K. Hafiz, R. Ghosh, J. Opt. Soc. Am. B 23, 1091 (2006)

    Article  ADS  Google Scholar 

  23. A.V. Andreev, A.V. Balakin, I.A. Ozheredov, A.P. Shkurinov P. Masselin, G. Mouret, D. Boucher, Phys. Rev. E 60, 016602 (2000)

    Article  Google Scholar 

  24. B.J. Eggleton, R.E. Slusher, C.M. de Sterke, P.A. Krug, J.E. Sipe, Phys. Rev. Lett. 76, 627 (1996)

    Article  ADS  Google Scholar 

  25. D.V. Novitsky, Phys. Rev. A 81, 053814 (2010)

    Article  ADS  Google Scholar 

  26. G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M. J. Bloemer, Phys. Rev. E 67, 016606 (2003)

    Article  ADS  Google Scholar 

  27. I. Stegeman, Quantum Semiclass. Opt. 9, 139 (1997)

    Article  ADS  Google Scholar 

  28. Y. Ueno, V. Ricci, G.I. Stegeman, J. Opt. Soc. Am. B 14, 1428 (1997)

    Article  ADS  Google Scholar 

  29. D.E. Aspens, S.M. Kelso, R.A. Logan, R. Bhat, J. Appl. Phys. 60, 754 (1986)

    Article  ADS  Google Scholar 

  30. S.J. Bae, J.M. Kim, C.Y. Park, Y.T. Lee, Solid-State Electron. 50, 625 (2006)

    Article  Google Scholar 

  31. M. Bendickson, J.P. Dowling, M. Scalora, Phys. Rev. E 53, 4107 (1996)

    Article  ADS  Google Scholar 

  32. M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertolotti, M.J. Bloemer C.M. Bowden, Nefedov, Phys. Rev. E 60, 4891 (1999)

    Article  ADS  Google Scholar 

  33. 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)

    Article  ADS  Google Scholar 

  34. M. Litchinitser, B.J. Eggleton, D.B. Patterson, J. Lightwave Technol. 15, 1303 (1997)

    Article  ADS  Google Scholar 

  35. Qian Li, K. Senthilnathan, K. Nakkeeran, P.K.A. Wai1, J. Opt. Soc. Am. B 26, 432 (2009)

    Article  ADS  Google Scholar 

  36. F.O. Ilday, K. Beckwitt, Yi-F. Chen, H. Lim, F.W. Wise, J. Opt. Soc. Am. B 21, 376 (2004)

    Article  ADS  Google Scholar 

  37. J. Moses, F.W. Wise, Opt. Lett. 31, 1881 (2006)

    Article  ADS  Google Scholar 

  38. A.V. Tarasishin, S.A. Magnitskii, A.M. Zheltikov, Laser Phys. 11, 31 (2001)

    Google Scholar 

  39. S. Joseph, M.S. Khan, A.K. Hafiz, Phys. Lett. A 378, 1296 (2014)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Shereena Joseph.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Joseph, S., Shahid Khan, M. & Hafiz, A. Compression of ultra-short pulses due to cascaded second order nonlinearities in photonic bandgap structures. Eur. Phys. J. D 70, 69 (2016). https://doi.org/10.1140/epjd/e2016-60442-1

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjd/e2016-60442-1

Keywords

Navigation