Skip to main content
SpringerLink
Log in

Determination of the third- and fifth-order optical nonlinearities: the general case

  • Published:
Applied Physics B Aims and scope Submit manuscript

Abstract

We compute the evolution of the intensity (I) and the phase (φ) of a beam propagating in a nonlinear (NL) isotropic medium exhibiting third- and fifth-order NL optical characteristics. All formulas are analytic, but the general case requires a numerical inversion by means of Newton’s method. The solutions may differ if some coefficients vanish, so they are given in all cases up to the fifth-order nonlinearities. The analytical relations allow us to fit the experimental data using the recently introduced D4σ-Z-scan method. Carbon disulfide is tested at 532 and 1,064 nm in the picosecond regime deducing NL coefficients related to third- and fifth-order optical susceptibilities.

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

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  1. G.L. Wood, W.W. Clark III, M.J. Miller, G.J. Salamo, E.J. Sharp, J. SPIE Proc. 1105, 154–180 (1980)

    Article  Google Scholar 

  2. H. Shim, M. Liu, C. Hwangbo, G.I. Stegeman, Opt. Lett. 23, 430 (1998)

    Article  ADS  Google Scholar 

  3. G. Lenz, J. Zimmermann, T. Katsufuji, M.E. Lines, H.Y. Hwang, S. Spalter, R.E. Slusher, S.W. Cheong, J.S. Sanghera, I.D. Aggarwal, Opt. Lett. 25, 254 (2000)

    Article  ADS  Google Scholar 

  4. F. Smektala, C. Quemard, L. Leneindre, J. Lucas, A. Barthelemy, C. De Angelis, J. Non Cryst. Solids 239, 139 (1998)

    Article  ADS  Google Scholar 

  5. V. Besse, H. Leblond, D. Mihalache, B.A. Malomed, Phys. Rev. E 87, 012916 (2013)

    Article  ADS  Google Scholar 

  6. E.L. Falcão-Filho, C.B. de Araújo, G. Boudebs, H. Leblond, V. Skarka, PRL 110, 013901 (2013)

    Article  ADS  Google Scholar 

  7. M. Sheik-Bahae, A.A. Said, T.H. Wei, D. Hagan, E.W. Van Stryland, IEEE J. Quant. Electron. 26, 4 (1990)

    Google Scholar 

  8. G. Boudebs, V. Besse, C. Cassagne, H. Leblond, C.B. de Araújo, Opt. Lett. 38, 13 (2013)

    Article  Google Scholar 

  9. G. Boudebs, S. Cherukulappurath, M. Guignard, J. Troles, F. Smektala, F. Sanchez, Opt. Commun. 232, 417 (2004)

    Article  ADS  Google Scholar 

  10. S. Cherukulappurath, J.L. Godet, G. Boudebs, J. Nonlinear Opt. Phys. Mater. 14, 1 (2005)

    Article  Google Scholar 

  11. G. Boudebs, S. Cherukulappurath, H. Leblond, J. Troles, F. Smektala, F. Sanchez, Opt. Commun. 219, 427–433 (2003)

    Article  ADS  Google Scholar 

  12. K. Fedus, G. Boudebs, Opt. Commun. 292, 140 (2013)

    Article  ADS  Google Scholar 

  13. G. Boudebs, K. Fedus, C. Cassagne, H. Leblond, Appl. Phys. Let. 93, 021118 (2008)

    Article  ADS  Google Scholar 

  14. G. Boudebs, K. Fedus, J. Appl. Phys. 105, 103106 (2009)

    Article  ADS  Google Scholar 

  15. D.G. Kong, Q. Chang, H.A. Ye, Y.C. Gao, Y.X. Wang, X.R. Zhang, K. Yang, W.Z. Wu, Y.L. Song, J. Phys. B At. Mol. Opt. Phys. 42, 065401 (2009)

    Article  ADS  Google Scholar 

  16. M. Falconieri, G. Salvetti, Appl. Phys. B Lasers Opt. 69, 133–136 (1999)

    Article  ADS  Google Scholar 

  17. S. Couris, M. Renard, O. Faucher, B. Lavorel, R. Chaux, E. Koudoumas, X. Michaut, Chem. Phys. Lett. 369, 318–324 (2003)

    Article  ADS  Google Scholar 

  18. M. Grehn, T. Seuthe, W.J. Tsai, M. Höfner, A.W. Achtstein, A. Mermillod-Blondin, M. Eberstein, H.J. Eichler, J. Bonse, Opt. Mater. Express 3(12), 2132–2140 (2013)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. LUNAM Université, Université d’Angers, LPhiA, Laboratoire de Photoniques d’Angers, EA 4464, 49045, Angers Cedex 01, France

    V. Besse, G. Boudebs & H. Leblond

Authors
  1. V. Besse
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. Boudebs
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. H. Leblond
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. Besse.

Appendices

Appendix 1: Solution for z(I)

See Table 1.

Appendix 2: Solution for the nonlinear phase shift Δφ(I)

See Table 2.

Appendix 3: Summary of the measured nonlinear coefficients

See Table 3.

Table 3 Summary of the third- and the fifth-order measured nonlinear coefficient values for CS2 in the picosecond regime with linearly polarized light
Full size table

Rights and permissions

Reprints and permissions

About this article

Cite this article

Besse, V., Boudebs, G. & Leblond, H. Determination of the third- and fifth-order optical nonlinearities: the general case. Appl. Phys. B 116, 911–917 (2014). https://doi.org/10.1007/s00340-014-5777-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00340-014-5777-2

Keywords

Search

Navigation