Skip to main content
SpringerLink
Log in

Positively and negatively large Goos–Hänchen lateral displacements from a symmetric gyrotropic slab

  • Published:
Applied Physics A Aims and scope Submit manuscript

Abstract

A detailed study on the lateral displacements of a transverse magnetic (TM) wave transmitted and reflected from a symmetric gyrotropic slab is presented. We give the analytic formulas for the transmission coefficient and the reflection coefficient, as well as the corresponding lateral displacements. It is found that due to the external magnetic field the displacement of a transmitted beam is different from that of reflected one, even for a lossless symmetric configuration. Furthermore, within the chosen frequency band, when the incident angle is near the Brewster angle, the shift of a reflected wave can be large with nonzero reflectance, and can be positive or negative depending on the direction of the applied magnetic field and the incident wave.

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. F. Goos, H. Hänchen, Ann. Phys. (Leipz.) 1, 333 (1947)

    Article  ADS  Google Scholar 

  2. F. Goos, H. Hänchen, Ann. Phys. (Leipz.) 5, 251 (1949)

    Article  ADS  Google Scholar 

  3. P.T. Leung, C.W. Chen, H.P. Chiang, Opt. Commun. 276, 206 (2007)

    Article  ADS  Google Scholar 

  4. P.T. Leung, C.W. Chen, H.P. Chiang, Opt. Commun. 281, 1312 (2008)

    Article  ADS  Google Scholar 

  5. H.M. Lai, C.W. Kwok, Y.W. Loo, B.Y. Xu, Phys. Rev. E 62, 7330 (2000)

    Article  ADS  Google Scholar 

  6. W.J. Wild, C.L. Giles, Phys. Rev. A 25, 2099 (1982)

    Article  ADS  Google Scholar 

  7. O.V. Ivanov, D.I. Sementsov, Opt. Spectrosc. 89, 737 (2000)

    Article  ADS  Google Scholar 

  8. O.V. Ivanov, D.I. Sementsov, Opt. Spectrosc. 92, 419 (2002)

    Article  ADS  Google Scholar 

  9. H.M. Lai, S.W. Chan, Opt. Lett. 27, 680 (2002)

    Article  ADS  Google Scholar 

  10. H.M. Lai, S.W. Chan, W.H. Wong, J. Opt. Soc. Am. A 23, 3208 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  11. L.G. Wang, Opt. Lett. 30, 2 (2005)

    Google Scholar 

  12. C. Bonnet, D. Chauvat, O. Emile, F. Bretenaker, A. Le Floch, L. Dutriaux, Opt. Lett. 26, 666 (2001)

    Article  ADS  Google Scholar 

  13. C.F. Li, Phys. Rev. Lett. 91, 133903 (2003)

    Article  ADS  Google Scholar 

  14. L.G. Wang, H. Chen, N.H. Liu, S.Y. Zhu, Opt. Lett. 31, 1124 (2006)

    Article  ADS  Google Scholar 

  15. J. He, J. Yi, S. He, Opt. Express 14, 3024 (2006)

    Article  ADS  Google Scholar 

  16. L.G. Wang, S.Y. Zhu, Appl. Phys. Lett. 87, 221102 (2005)

    Article  ADS  Google Scholar 

  17. L.G. Wang, S.Y. Zhu, J. Appl. Phys. 98, 043522 (2005)

    Article  ADS  Google Scholar 

  18. N.H. Shen, J. Chen, Q.Y. Wu, T. Lan, Y.X. Fan, H.T. Wang, Opt. Express 14, 10574 (2006)

    Article  ADS  Google Scholar 

  19. A. Boardman, N. King, Y. Rapoport, L. Velasco, New J. Phys. 7, 1 (2005)

    Article  Google Scholar 

  20. H. Huang, Y. Fan, F. Kong, B.-I. Wu, J.A. Kong, PIER 82, 137 (2008)

    Article  Google Scholar 

  21. K. Artmann, Ann. Phys. 2, 87 (1948)

    Article  MATH  Google Scholar 

  22. Y. Xiang, X. Dai, S. Wen, Appl. Phys. A Mater. 87, 285 (2007)

    Article  ADS  Google Scholar 

  23. A.M. Steinberg, R.Y. Chiao, Phys. Rev. A 49, 3283 (1994)

    Article  ADS  Google Scholar 

  24. C.F. Li, Phys. Rev. A 65, 66101 (2002)

    Article  ADS  Google Scholar 

  25. X. Chen, C.F. Li, Phys. Rev. E 69, 66617 (2004)

    Article  ADS  Google Scholar 

  26. L. Remer, E. Mohler, W. Grill, B. Lüthi, Phys. Rev. B 30, 3277 (1984)

    Article  ADS  Google Scholar 

  27. J.J. Brion, R.F. Wallis, A. Hartstein, Burtsein. Phys. Rev. Lett. 28, 1455 (1972)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Electrical Engineering, Beijing Jiaotong University, Beijing, 100044, People’s Republic of China

    Hui Huang & Yu Fan

  2. Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA

    Hui Huang, Bae-Ian Wu & Jin Au Kong

Authors
  1. Hui Huang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yu Fan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Bae-Ian Wu
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Jin Au Kong
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hui Huang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Huang, H., Fan, Y., Wu, BI. et al. Positively and negatively large Goos–Hänchen lateral displacements from a symmetric gyrotropic slab. Appl. Phys. A 94, 917–922 (2009). https://doi.org/10.1007/s00339-008-4858-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00339-008-4858-7

PACS

Search

Navigation