Skip to main content
SpringerLink
Log in

Transmission property for a one-dimensional photonic crystal containing a subwavelength layer and a nonlinear layer

  • Published:
Applied Physics A Aims and scope Submit manuscript

Abstract

Using the transfer matrix method, we investigate the transmission property of a one-dimensional photonic crystal doped with a linear subwavelength layer and a Kerr-type nonlinear layer. We find that a thin film of subwavelength layer can significantly modify the characteristic of optical bistability. We also find that the sequence of the thin film and the nonlinear layer has a major impact on the hysteretic behavior. With the investigations to the linear defect mode and the electric field distribution in the nonlinear material, we explain these phenomena.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J.D. Joannopoulos, R.D. Meade, J.N. Winn, Photonic Crystals: Molding the Flow of Light (University Press, Princeton, 1995)

    MATH  Google Scholar 

  2. V. Berger, Phys. Rev. Lett. 81, 4136 (1998)

    Article  ADS  Google Scholar 

  3. S.F. Mingaleev, Y.S. Kivshar, Phys. Rev. Lett. 86, 5474 (2001)

    Article  ADS  Google Scholar 

  4. A. Huttunen, P. Törmä, J. Appl. Phys. 91, 3988 (2002)

    Article  ADS  Google Scholar 

  5. J.M. Dudley, S. Coen, IEEE J. Sel. Top. Quantum Electron. 8, 651 (2002)

    Article  Google Scholar 

  6. J. Martorell, R. Vilaseca, R. Corbalan, Appl. Phys. Lett. 70, 702 (1997)

    Article  ADS  Google Scholar 

  7. F. Sasaki, S. Haraichi, S. Kobayashi, IEEE J. Quantum Electron. QE-38, 943 (2002)

    Article  ADS  Google Scholar 

  8. J. Martorell, R. Corbalan, Opt. Commun. 108, 319 (1994)

    Article  ADS  Google Scholar 

  9. J. Trull, R. Vilaseca, J. Martorell, R. Corbalan, Opt. Lett. 20, 1746 (1995)

    Article  ADS  Google Scholar 

  10. M.J. Steel, C.M. de Sterke, Appl. Opt. 35, 3211 (1996)

    ADS  Google Scholar 

  11. 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 

  12. V.V. Konotop, V. Kuzmiak, J. Opt. Soc. Am. B 16, 1370 (1999)

    ADS  Google Scholar 

  13. B. Shi, Z.M. Jiang, X. Wang, Opt. Lett. 26, 1194 (2001)

    Article  ADS  Google Scholar 

  14. P. Delaye, M. Astic, R. Frey, G. Roosen, J. Opt. Soc. Am. B 22, 2494 (2005)

    Article  ADS  Google Scholar 

  15. A.V. Andreev, A.V. Balakin, A.B. Kozlov, I.A. Ozheredov, I.R. Prudnikov, A.P. Shkurinov, P. Masselin, G. Mouret, J. Opt. Soc. Am. B 19, 1685 (2001)

    Google Scholar 

  16. H.M. Gibbs, Optical Bistability: Controlling Light with Light (Academic, New York, 1985)

    Google Scholar 

  17. J. Danckaert, K. Fobelets, I. Veretennicoff, G. Vitrant, R. Reinisch, Phys. Rev. B 44, 8214 (1991)

    Article  ADS  Google Scholar 

  18. J. He, M. Cada, IEEE J. Quantum Electron. QE-27, 1182 (1991)

    Article  ADS  Google Scholar 

  19. E. Wolf, Progress in Optics (North-Holland Physics Publishing, Amsterdam, 1984)

    Google Scholar 

  20. V.M. Agranovich, S.A. Kiselev, D.L. Mills, Phys. Rev. B 44, 10917 (1991)

    Article  ADS  Google Scholar 

  21. M. Scalora, J.P. Dowling, C.M. Bowden, M.J. Bloemer, Phys. Rev. Lett. 73, 1368 (1994)

    Article  ADS  Google Scholar 

  22. P. Tran, Opt. Lett. 21, 1138 (1996)

    ADS  Google Scholar 

  23. R. Wang, J. Dong, D.Y. Xing, Phys. Rev. E 55, 6301 (1997)

    Article  ADS  Google Scholar 

  24. E. Lidorikis, K. Busch, Q.M. Li, C.T. Chan, C.M. Soukoulis, Phys. Rev. B 56, 15090 (1997)

    Article  ADS  Google Scholar 

  25. H. Inouyea, Y. Kanemitsu, Appl. Phys. Lett. 82, 1155 (2003)

    Article  ADS  Google Scholar 

  26. M.W. Feise, I.V. Shadrivov, Y.S. Kivshar, Appl. Phys. Lett. 85, 1451 (2004)

    Article  ADS  Google Scholar 

  27. T. Pan, C. Tang, L. Gao, Z. Li, Phys. Lett. A 337, 473 (2005)

    Article  ADS  MATH  Google Scholar 

  28. R.S. Hegde, H.G. Winful, Microwave Opt. Technol. Lett. 46, 528 (2005)

    Google Scholar 

  29. H. Jiang, H. Chen, S. Zhu, Phys. Rev. E 73, 046601 (2006)

    Article  ADS  Google Scholar 

  30. S. Dutta Gupta, G.S. Agarwal, J. Opt. Soc. Am. B 4, 691 (1987)

    ADS  Google Scholar 

  31. H. Jiang, H. Chen, H. Li, Y. Zhang, S. Zhu, Appl. Phys. Lett. 83, 5386 (2003)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Shanghai University, Shanghai, 200444, P.R. China

    P. Hou, Y. Chen, J. Shi, Q. Kong, L. Ge & Q. Wang

Authors
  1. P. Hou
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Y. Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. J. Shi
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Q. Kong
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. L. Ge
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Q. Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to P. Hou.

Additional information

PACS

42.65.Pc; 42.25.Bs; 42.70.Qs; 42.65.-k; 78.66.-w

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hou, P., Chen, Y., Shi, J. et al. Transmission property for a one-dimensional photonic crystal containing a subwavelength layer and a nonlinear layer. Appl. Phys. A 91, 41–46 (2008). https://doi.org/10.1007/s00339-007-4392-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00339-007-4392-z

Keywords

Search

Navigation