Skip to main content
SpringerLink
Log in

Generalized Vector Laws of Reflection and Refraction of Forward and Backward Waves in the Presence of a Metasurface

  • Published:
Russian Physics Journal Aims and scope

Vector formulations of laws of reflection and refraction of plane electromagnetic waves from the plane metasurface that separates two isotropic media and is characterized by phase gradients are obtained and analyzed. The media support the forward or backward normal waves that differ by identifiers. Critical angles of total internal reflection are presented, and conditions of occurrence of negative refraction and negative reflection are specified. Retroreflection and special cases of wave refraction are considered, and restrictions on the metasurface parameters are given.

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. N. Yu, P. Genevet, M. A. Kats, et al., Science, 334, No. 6054, 333–337 (2011).

    Article  ADS  Google Scholar 

  2. F. Aieta, P. Genevet, N. Yu, et al., Nano Lett., 12, No. 3, 1702–1706 (2012).

    Article  ADS  Google Scholar 

  3. F. Aieta, A. Kabiri, P. Genevet, et al., J. Nanophoton., 6, No. 1, 063532-1–063532-9 (2012).

  4. K. Ding, S.-Y. Xiao, and L. Zhou, Front. Phys., 8, No. 4, 386–393 (2013).

    Article  Google Scholar 

  5. X. G. Luo, Sci. China. – Phys. Mech. Astron., 58, No. 9, 594201-1–594201-18 (2015).

  6. D. Smith, M. Campbell, and A. Bergmann, Ann. Phys., 361, 184–189 (2015).

    Article  MathSciNet  Google Scholar 

  7. A. Sommerfeld and J. Runge, Ann. Phys., 340, No. 7, 277–298 (1911).

    Article  Google Scholar 

  8. L. Silberstein, Philosophic. Mag., Ser. 6., 32, No. 191, 487–494 (1916).

  9. F. D. Bennett, J. Opt. Soc. Am., 47, No. 1, 85–91 (1957).

    Article  ADS  Google Scholar 

  10. F. I. Fedorov, Optics of Anisotropic Media (in Russian), Publishing House of the BSSR Acad. Sciences, Minsk (1958).

  11. V. G. Veselago, Soviet Phys. Uspekhi, 10, No. 4, 509–514 (1968).

    Article  ADS  Google Scholar 

  12. V. N. Kisel’ and A. N. Lagar’kov, J. Commun. Technol. El., 54, No. 5, 506–514 (2009).

  13. N. Engheta and R. W. Ziolkowski, IEEE Trans. Microw. Theory Tech., 53, No. 4, 1535–1556 (2005).

    Article  ADS  Google Scholar 

  14. G. D. Maluizhinets, Zh. Tekh. Fiz., 21, No. 8, 940–942 (1951).

    Google Scholar 

  15. L. I. Mandelsham, Lections on Optics, Relativity Theory, and Quantum Mechanics [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  16. V. V. Fisanov, Russ. Phys. J., 57, No. 5, 691–696 (2014).

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. V. D. Kuznetsov Siberian Physical-Technical Institute at Tomsk State University, Tomsk, Russia

    V. V. Fisanov

  2. Institute of Physical Materials Science of the Siberian Branch of the Russian Academy of Sciences, Ulan-Ude, Russia

    V. V. Fisanov

Authors
  1. V. V. Fisanov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. V. Fisanov.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 49–54, August, 2016.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Fisanov, V.V. Generalized Vector Laws of Reflection and Refraction of Forward and Backward Waves in the Presence of a Metasurface. Russ Phys J 59, 1181–1186 (2016). https://doi.org/10.1007/s11182-016-0888-3

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11182-016-0888-3

Keywords

Search

Navigation