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Beam Diffraction by a Conductive Half Plane

Year 2023, Volume: 20 Issue: 2, 95 - 105, 01.11.2023

Abstract

In this paper scattering and diffraction of Gaussian beam by a conductive half-plane is studied. To generate Gaussian beam complex point source method is used. To evaluate geometrical optics and diffracted fields far-field approximation is used. Obtained diffracted and scattered fields plotted and examined numerically by the help of MATLAB.

Thanks

Prof. Dr. Yusuf Ziya UMUL

References

  • [1] H. D. Basdemir, “Bessel Beam Diffraction by an Aperture in an Opaque Screen,” International Journal of Optics, vol. 2015, pp. 1–5, 2015.
  • [2] Y. Z. Umul, “Diffraction of Waves by a Wedge Residing between Two Different Media,” Optik, vol. 162, pp. 8–18, 2018.
  • [3] Y. Z. Umul, “Scattering of a Bessel Beam by a Resistive Disc,” Optik, vol. 130, pp. 945–954, 2017.
  • [4] Y. Z. Umul, “Closed Form Series Solution of the Diffraction Problem of Plane Waves by an Impedance Half Plane,” Journal of Optics A: Pure and Applied Optics, vol. 11, no. 4, pp. 045709, 2009.
  • [5] J. B. Keller, “Geometrical Theory of Diffraction. ” J. Opt. Soc. Am., vol. 52, no. 2, pp. 116-130, 1962.
  • [6] A. Sommerfeld, “Mathematische Theorie Der Diffraction,” Mathematische Annalen, vol. 47, no. 2-3, pp. 317–374, 1896.
  • [7] C.V. Raman, and K.S. Krishnan, “The Diffraction of Light by Metallic Screens,” Proceedings of the Royal Society of London. Series A, vol. 116, no. 774, pp. 254–267, 1927.
  • [8] T. B. A. Senior, “Half Plane Edge Diffraction,” Radio Science, vol. 10, no. 6, pp. 645–650, 1975.
  • [9] T. B. Senior, “Diffraction by a Resistive Half Plane,” Electromagnetics, vol. 11, no. 2, pp. 183–192, 1991.
  • [10] G. A. Deschamps, “Gaussian Beam as a Bundle of Complex Rays,” Electronics Letters, vol. 7, no. 23, pp. 684-685,1971.
  • [11] A. C. Green, H. L. Bertoni, and L. B. Felsen “Properties of the Shadow Cast by a Half-Screen When Illuminated by a Gaussian Beam,” Journal of the Optical Society of America, vol. 69, no. 11, pp. 1503-1508, 1979.
  • [12] G. Suedan, and E. V. Jull, “Two-Dimensional Beam Diffraction by a Half-Plane and Wide Slit,” IEEE Transactions on Antennas and Propagation, vol. 35, no. 9, pp. 1077–1083, 1987.
  • [13] G. Suedan, and E.V. Jull. “Beam Diffraction by Half Planes and Wedges: Uniform and Asymptotic Solutions,” Journal of Electromagnetic Waves and Applications, vol. 3, no. 1, pp. 17–26, 1989.
  • [14] Y. Z. Umul, “Beam Diffraction by a Resistive Half-Plane,” Applied Optics, vol. 54, no. 10, pp. 2665–2971, 2015.
  • [15] Y. Z. Umul, “Diffraction of Waves by a Conductive Half-Plane,” Optik, vol. 131, pp. 29–35, 2017.
  • [16] T.B.A. Senior and J. L. Volakis, "Approximate Boundary Conditions in Electromagnetics." Institution of Electrical Engineers, pp. 19-20, 1995.
  • [17] Y. Z. Umul, “Scattering by a Conductive Half-Screen between Isorefractive Media.” Applied Optics, vol. 54, no. 35, pp. 10309-10313, 2015.
  • [18] G. D. Malyughinetz, “Das Sommerfeldsche Integral Und Die Lösung Von Beugungsaufgaben in Winkelgebieten,” Annalen Der Physik, vol. 461, no. 1-2, pp. 107–112, 1960.
  • [19] Y. Z. Umul, “Equivalent Functions for the Fresnel Integral,” Optics Express, vol. 13, no. 21, pp. 8469-8482, 2005.
  • [20] Y. Z. Umul, “Uniform Theory for the Diffraction of Evanescent Plane Waves,” Journal of the Optical Society of America A, vol. 24, no. 8, pp. 2426-2430, 2007
Year 2023, Volume: 20 Issue: 2, 95 - 105, 01.11.2023

Abstract

References

  • [1] H. D. Basdemir, “Bessel Beam Diffraction by an Aperture in an Opaque Screen,” International Journal of Optics, vol. 2015, pp. 1–5, 2015.
  • [2] Y. Z. Umul, “Diffraction of Waves by a Wedge Residing between Two Different Media,” Optik, vol. 162, pp. 8–18, 2018.
  • [3] Y. Z. Umul, “Scattering of a Bessel Beam by a Resistive Disc,” Optik, vol. 130, pp. 945–954, 2017.
  • [4] Y. Z. Umul, “Closed Form Series Solution of the Diffraction Problem of Plane Waves by an Impedance Half Plane,” Journal of Optics A: Pure and Applied Optics, vol. 11, no. 4, pp. 045709, 2009.
  • [5] J. B. Keller, “Geometrical Theory of Diffraction. ” J. Opt. Soc. Am., vol. 52, no. 2, pp. 116-130, 1962.
  • [6] A. Sommerfeld, “Mathematische Theorie Der Diffraction,” Mathematische Annalen, vol. 47, no. 2-3, pp. 317–374, 1896.
  • [7] C.V. Raman, and K.S. Krishnan, “The Diffraction of Light by Metallic Screens,” Proceedings of the Royal Society of London. Series A, vol. 116, no. 774, pp. 254–267, 1927.
  • [8] T. B. A. Senior, “Half Plane Edge Diffraction,” Radio Science, vol. 10, no. 6, pp. 645–650, 1975.
  • [9] T. B. Senior, “Diffraction by a Resistive Half Plane,” Electromagnetics, vol. 11, no. 2, pp. 183–192, 1991.
  • [10] G. A. Deschamps, “Gaussian Beam as a Bundle of Complex Rays,” Electronics Letters, vol. 7, no. 23, pp. 684-685,1971.
  • [11] A. C. Green, H. L. Bertoni, and L. B. Felsen “Properties of the Shadow Cast by a Half-Screen When Illuminated by a Gaussian Beam,” Journal of the Optical Society of America, vol. 69, no. 11, pp. 1503-1508, 1979.
  • [12] G. Suedan, and E. V. Jull, “Two-Dimensional Beam Diffraction by a Half-Plane and Wide Slit,” IEEE Transactions on Antennas and Propagation, vol. 35, no. 9, pp. 1077–1083, 1987.
  • [13] G. Suedan, and E.V. Jull. “Beam Diffraction by Half Planes and Wedges: Uniform and Asymptotic Solutions,” Journal of Electromagnetic Waves and Applications, vol. 3, no. 1, pp. 17–26, 1989.
  • [14] Y. Z. Umul, “Beam Diffraction by a Resistive Half-Plane,” Applied Optics, vol. 54, no. 10, pp. 2665–2971, 2015.
  • [15] Y. Z. Umul, “Diffraction of Waves by a Conductive Half-Plane,” Optik, vol. 131, pp. 29–35, 2017.
  • [16] T.B.A. Senior and J. L. Volakis, "Approximate Boundary Conditions in Electromagnetics." Institution of Electrical Engineers, pp. 19-20, 1995.
  • [17] Y. Z. Umul, “Scattering by a Conductive Half-Screen between Isorefractive Media.” Applied Optics, vol. 54, no. 35, pp. 10309-10313, 2015.
  • [18] G. D. Malyughinetz, “Das Sommerfeldsche Integral Und Die Lösung Von Beugungsaufgaben in Winkelgebieten,” Annalen Der Physik, vol. 461, no. 1-2, pp. 107–112, 1960.
  • [19] Y. Z. Umul, “Equivalent Functions for the Fresnel Integral,” Optics Express, vol. 13, no. 21, pp. 8469-8482, 2005.
  • [20] Y. Z. Umul, “Uniform Theory for the Diffraction of Evanescent Plane Waves,” Journal of the Optical Society of America A, vol. 24, no. 8, pp. 2426-2430, 2007
There are 20 citations in total.

Details

Primary Language English
Subjects Engineering, Engineering Electromagnetics
Journal Section Articles
Authors

Ömer Kemal Çatmakaş 0000-0002-9717-3420

Publication Date November 1, 2023
Published in Issue Year 2023 Volume: 20 Issue: 2

Cite

APA Çatmakaş, Ö. K. (2023). Beam Diffraction by a Conductive Half Plane. Cankaya University Journal of Science and Engineering, 20(2), 95-105.
AMA Çatmakaş ÖK. Beam Diffraction by a Conductive Half Plane. CUJSE. November 2023;20(2):95-105.
Chicago Çatmakaş, Ömer Kemal. “Beam Diffraction by a Conductive Half Plane”. Cankaya University Journal of Science and Engineering 20, no. 2 (November 2023): 95-105.
EndNote Çatmakaş ÖK (November 1, 2023) Beam Diffraction by a Conductive Half Plane. Cankaya University Journal of Science and Engineering 20 2 95–105.
IEEE Ö. K. Çatmakaş, “Beam Diffraction by a Conductive Half Plane”, CUJSE, vol. 20, no. 2, pp. 95–105, 2023.
ISNAD Çatmakaş, Ömer Kemal. “Beam Diffraction by a Conductive Half Plane”. Cankaya University Journal of Science and Engineering 20/2 (November 2023), 95-105.
JAMA Çatmakaş ÖK. Beam Diffraction by a Conductive Half Plane. CUJSE. 2023;20:95–105.
MLA Çatmakaş, Ömer Kemal. “Beam Diffraction by a Conductive Half Plane”. Cankaya University Journal of Science and Engineering, vol. 20, no. 2, 2023, pp. 95-105.
Vancouver Çatmakaş ÖK. Beam Diffraction by a Conductive Half Plane. CUJSE. 2023;20(2):95-105.