Vol. 102

Latest Volume
All Volumes
All Issues
2023-08-15

Diffraction of a Plane Electromagnetic Wave by a Circular Aperture in a Conducting Screen of Finite Thickness

By Vladimir Serdyuk
Progress In Electromagnetics Research B, Vol. 102, 99-114, 2023
doi:10.2528/PIERB23061503

Abstract

The paper represents a rigorous solution to the problem of diffraction of a normally incident plane electromagnetic wave by a circular hole in a perfectly conducting screen of arbitrary thickness, obtained using the eigenmode technique with allowance for the presence of a plane dielectric layer on a thick substrate behind the screen, which can play a part of a radiation detector. The main goal of the work is to describe the effect of diffractionlensless focusing in circular apertures and to determine the conditions of its appearance in the near zone of small holes, when its radius, the thickness of a screen and a dielectric layer are of the order of the wavelength.

Citation


Vladimir Serdyuk, "Diffraction of a Plane Electromagnetic Wave by a Circular Aperture in a Conducting Screen of Finite Thickness," Progress In Electromagnetics Research B, Vol. 102, 99-114, 2023.
doi:10.2528/PIERB23061503
http://test.jpier.org/PIERB/pier.php?paper=23061503

References


    1. Ebbesen, T. W., H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, "Extraordinary optical transmission through sub-wavelength hole arrays," Nature, Vol. 391, No. 12, 667-669, 1998.
    doi:10.1038/35570

    2. Garcia-Vidal, F. G., L. Martin-Moreno, T. W. Ebbesen, and L. Kuipers, "Light passing through subwavelength apertures," Reviews of Modern Physics, Vol. 82, No. 1, 729-787, 2010.
    doi:10.1103/RevModPhys.82.729

    3. Garcia de Abajo, F. J., "Light transmission through a single cylindrical hole in a metallic film," Opt. Express, Vol. 10, No. 25, 1475-1484, 2002.
    doi:10.1364/OE.10.001475

    4. Vitrant, G., S. Zaiba, B.Y. Vineeth, T. Kouriba, O. Ziane, O. Stephan, J. Bosson, and P. L. Baldeck, "Obstructive micro diffracting structures as an alternative to plasmonicsnano slits for making efficient microlenses," Opt. Express, Vol. 20, No. 24, 26542-26547, 2012.
    doi:10.1364/OE.20.026542

    5. Goncalves, M. R., W. B. Case, A. Arie, and W. P. Schleich, "Single-slit focusing and its representations," Applied Physics B, Vol. 123, No. 4, 1-22, 2017.
    doi:10.1007/s00340-017-6675-1

    6. Serdyuk, V. M., S. V. von Gratowski, and V. V. Koledov, "Diffraction focusing of electromagnetic radiation by transmission through sub-wavelength nanoapertures," Semiconductors, Vol. 54, No. 14, 1814-1815, 2020.
    doi:10.1134/S1063782620140250

    7. Serdyuk, V. M., "Theoretical investigation of electromagnetic diffraction focusing in the near zone of a sub-wavelength aperture," Photonics and Nanostructures --- Fundamentals and Applications, Vol. 50, 101017, 2022.
    doi:10.1016/j.photonics.2022.101017

    8. Born, M. and E. Wolf, Principles of Optics, University Press, Cambridge, 1997.

    9. Popov, E., M. Neviere, A. Sentenac, N. Bonod, A.-L. Fehrembach, J. Wenger, P.-F. Lenne, and H. Rigneault, "Single-scattering theory of light diffraction by a circular subwavelength aperture in a finitely conducting screen," J. Opt. Soc. Am. A, Vol. 24 , No. 2, 339-358, 2007.
    doi:10.1364/JOSAA.24.000339

    10. Serdyuk, V. M., "Diffraction of a plane electromagnetic wave by a slot in a conducting screen of arbitrary thickness," Technical Physics, Vol. 50, No. 8, 1076-1083, 2005.
    doi:10.1134/1.2014542

    11. Serdyuk, V. M., "Method of additive regularization of field integrals in the problem of electromagnetic diffraction by a slot in a conducting screen, placed before a dielectric layer," Progress In Electromagnetics Research B, Vol. 83, 129-151, 2019.
    doi:10.2528/PIERB18102906

    12. Bethe, H. A., "Theory of diffraction by small holes," Phys. Rev., Vol. 66, No. 7&8, 163-182, 1944.
    doi:10.1103/PhysRev.66.163

    13. Roberts, A., "Electromagnetic theory of diffraction by a circular aperture in a thick, perfectly conducting screen," J. Opt. Soc. Am. A, Vol. 4, No. 10, 1970-1983, 1987.
    doi:10.1364/JOSAA.4.001970

    14. Palumbo, L. J. and A. M. Platzeck, "Diffraction by a circular aperture: A new approach," J. Opt. Soc. Am. A, Vol. 4, No. 5, 839-842, 1987.
    doi:10.1364/JOSAA.4.000839

    15. Mittra, R. and S. W. Lee, Analytical Techniques in the Theory of Guided Waves, Macmillan, New York, 1971.

    16. Chew, W. V., Waves and Fields in Inhomogeneous Media, IEEE Press, New York, 1995.

    17. Stratton, J. A., Electromagnetic Theory, McGraw-Hill , New York, 1941.

    18. Weinstein, L. A., The Theory of Diffraction and the Factorization Method, Golem, Boulder, 1969.

    19. Mathews, J. and R. L. Walker, Mathematical Methods of Physics, W. A. Benjamin, New York, 1964.

    20. Tolstov, G. P., Fourier Series, Dover Publications, New York, 1976.

    21. Sokolov, A. V., Optical Properties of Metals, American Elsevier Publishing, 1967.