Skip to main content
Log in

On the Goos–Hänchen Effect in the Case of Excitation of Surface Waves in the Kretschmann Scheme

  • PHYSICAL OPTICS
  • Published:
Optics and Spectroscopy Aims and scope Submit manuscript

Abstract

A theoretical method for investigating reflection of a finite-aperture plane light beam from a flat-layered structure in the Kretschmann scheme is considered. The developed theory is applied for investigating the Goos–Hänchen effect, which arises upon incidence of a linearly polarized light beam with the polarization vector lying in the plane of incidence (p-polarized beam) and which is that, upon reflection, the incident beam is divided into two close beams of the same polarization. The accuracy of sensors based on this effect is discussed.

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.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.

Similar content being viewed by others

REFERENCES

  1. J. Homola, S. S. Yee, and G. Gauglitz, Sens. Actuators, B 54, 3 (1999).

    Article  Google Scholar 

  2. W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature (London, U.K.) 424, 824 (2003).

    Article  ADS  Google Scholar 

  3. J. Homola, Chem. Rev. 108, 462 (2008).

    Article  Google Scholar 

  4. G. Spoto and M. Minunni, J. Phys. Chem. Lett. 3, 2682 (2012).

    Article  Google Scholar 

  5. H. Raether, Surface Plasmons (Springer, Berlin, 1988).

    Google Scholar 

  6. W. L. Barnes, J. Opt. A: Pure Appl. Opt. 8, S87 (2006).

    Article  ADS  Google Scholar 

  7. E. Kretschmann and H. Z. Raether, Naturforsch. A 23, 2135 (1968).

    Article  ADS  Google Scholar 

  8. M. Piliarik and J. Homola, Opt. Express 17, 16505 (2009).

    Article  ADS  Google Scholar 

  9. B. Liedberg, C. Nylander, and I. Lundstrom, Sens. Actuators 4, 299 (1983).

    Article  Google Scholar 

  10. B. Liedberg, C. Nylander, and I. Lundstrom, Biosens. Bioelectron. 10, i (1995).

    Article  Google Scholar 

  11. R. Garabedian, C. Gonzalez, J. Richards, et al., Sens. Actuators, A 43, 202 (1994).

    Article  Google Scholar 

  12. E. M. Yeatman, Biosens. Bioelectron. 11, 635 (1996).

    Article  Google Scholar 

  13. A. B. Petrin, Opt. Spectrosc. 125, 390 (2018).

    Article  ADS  Google Scholar 

  14. A. B. Petrin, Opt. Spectrosc. 125, 1025 (2018).

    Article  ADS  Google Scholar 

  15. F. Goos and H. Hänchen, Ann. Phys. (N.Y.) 1, 333 (1947).

    Article  ADS  Google Scholar 

  16. R. Renard, J. Opt. Soc. Am. 54, 1190 (1964).

    Article  ADS  Google Scholar 

  17. X. Yin and L. Hesselink, Appl. Phys. Lett. 89, 261108 (2006).

    Article  ADS  Google Scholar 

  18. Y. Wan, Z. Zheng, and J. Zhu, J. Opt. Soc. Am. B 28, 314 (2011).

    Article  ADS  Google Scholar 

  19. A. D. Parks and S. E. Spence, Appl. Opt. 54, 5872 (2015).

    Article  ADS  Google Scholar 

  20. A. B. Petrin, O. D. Vol’pyan, and A. S. Sigov, Opt. Spectrosc. 123, 798 (2017).

    Article  ADS  Google Scholar 

  21. A. B. Petrin, O. D. Vol’pyan, and A. S. Sigov, Tech. Phys. 63, 422 (2018).

    Article  Google Scholar 

  22. L. Novotny and B. Hecht, Principles of Nano-Optics (Cambridge Univ. Press, Cambridge, 2006; Fizmatlit, Moscow, 2009).

  23. N. J. Tao, S. Boussaad, W. L. Huang, et al., Rev. Sci. Instrum. 70, 4656 (1999).

    Article  ADS  Google Scholar 

  24. H. Q. Zhang, S. Boussaad, and N. J. Tao, Rev. Sci. Instrum. 74, 150 (2003).

    Article  ADS  Google Scholar 

  25. K. C. Neuman and S. M. Block, Rev. Sci. Instrum. 75, 2787 (2004).

    Article  ADS  Google Scholar 

  26. L. Nugent-Glandorf and T. T. Perkins, Opt. Lett. 29, 2611 (2004).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. B. Petrin.

Ethics declarations

The author declares that he has no conflict of interest.

Additional information

Translated by V. Rogovoi

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Petrin, A.B. On the Goos–Hänchen Effect in the Case of Excitation of Surface Waves in the Kretschmann Scheme. Opt. Spectrosc. 127, 706–711 (2019). https://doi.org/10.1134/S0030400X19100205

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0030400X19100205

Keywords:

Navigation