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On the Radiation by a Surface Source Normally to the Boundary of a Half-Space and a Plane-Layered Structure

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Abstract

Based on a rigorous theory of radiation from an elementary current source located at the boundary of a plane-layered structure, the radiation by an arbitrary surface current distribution is considered. A strict relationship is obtained between the normally radiated fields generated by an arbitrary external surface current distribution in the half-spaces surrounding the plane-layered structure. It is shown that the amplitude ratio of electric fields at the same distance from a source radiating in opposite directions normally to a plane-layered structure is determined by a simple algebraic expression involving the electromagnetic parameters of the media and the thickness of the films in the structure. Special cases of a surface source of radiation at the boundary of one homogeneous film and a surface source at the interface of two homogeneous half-spaces are considered.

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REFERENCES

  1. A. Sommerfeld, Ann. Phys. (Leipzig) 81, 1135 (1926).

    Article  ADS  Google Scholar 

  2. J. R. Wait, IEEE Antennas Propag. Mag. 40 (5), 7 (1998).

    Article  ADS  Google Scholar 

  3. R. W. P. King and G. S. Smith, Antennas in Matter (MIT Press, Cambridge, MA, 1981).

    Google Scholar 

  4. T. T. Wu, J. Appl. Phys. 28, 299 (1957).

    Article  ADS  Google Scholar 

  5. R. H. Jansen, IEEE Trans. Microwave Theory Tech. 33, 1043 (1985).

    Article  ADS  Google Scholar 

  6. R. W. P. King, IEEE Trans. Microwave Theory Tech. 36, 1080 (1988).

    Article  ADS  Google Scholar 

  7. L. Novotny and B. Hecht, Principles of Nano-Optics (Cambridge Univ. Press, Cambridge, 2006).

    Book  Google Scholar 

  8. J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).

    Article  ADS  Google Scholar 

  9. A. B. Petrin, Opt. Spectrosc. 128, 1809 (2020).

    Article  ADS  Google Scholar 

  10. A. B. Petrin, J. Exp. Theor. Phys. 132, 27 (2021).

    Article  ADS  Google Scholar 

  11. A. B. Petrin, Opt. Spectrosc. 129, 72 (2021).

    Article  ADS  Google Scholar 

  12. A. B. Petrin, Opt. Spectrosc. 129, 56 (2021).

    Article  ADS  Google Scholar 

  13. P. Bharadwaj, B. Deutsch, and L. Novotny, Adv. Opt. Photon. 1, 438 (2009).

    Article  Google Scholar 

  14. N. Yu, E. Cubukcu, L. Diehl, et al., Opt. Express 15, 13272 (2007).

    Article  ADS  Google Scholar 

  15. A. Khaleque, E. G. Mironov, J. H. Osório, et al., Opt. Express 25, 8986 (2017).

    Article  ADS  Google Scholar 

  16. A. B. Petrin, J. Exp. Theor. Phys. 107, 364 (2008).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  18. A. B. Petrin, Opt. Spectrosc. 126, 269 (2019).

    Article  ADS  Google Scholar 

  19. A. B. Petrin, Opt. Spectrosc. 127, 706 (2019).

    Article  ADS  Google Scholar 

  20. J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, London, 1941).

    MATH  Google Scholar 

  21. J. A. Stratton and L. J. Chu, Phys. Rev. 56, 99 (1939).

    Article  ADS  Google Scholar 

  22. S. A. Schelkunoff, Phys. Rev. 56, 308 (1939).

    Article  ADS  Google Scholar 

  23. R. F. Harrington, Time-Harmonic Electromagnetic Fields (McGraw-Hill, New York, 1961).

    Google Scholar 

  24. A. B. Petrin, Cand. Sci. (Phys. Math.) Dissertation (Mosc. Phys. Tech. Inst., Moscow, 1988).

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Correspondence to A. B. Petrin.

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Translated by E. Chernokozhin

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Petrin, A.B. On the Radiation by a Surface Source Normally to the Boundary of a Half-Space and a Plane-Layered Structure. Opt. Spectrosc. 129, 979–996 (2021). https://doi.org/10.1134/S0030400X21070146

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  • DOI: https://doi.org/10.1134/S0030400X21070146

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