Physical Interpretation of the Solution to the Problem of Diffraction on a Half-plane with Non-Ideal Boundary Conditions
by Michael Vesnik * 
Kotelnikov Institute of Radioengineering and Electronics, Russian Academy of Sciences, Moscow, 125009, Russia
* Author to whom correspondence should be addressed.
Journal of Engineering Research and Sciences, Volume 1, Issue 3, Page # 52-58, 2022; DOI: 10.55708/js0103006
Keywords: Electromagnetic Diffraction, Heuristic Approaches, Impedance Boundary Conditions
Received: 26 January 2022, Revised: 26 February 2022, Accepted: 11 March 2022, Published Online: 17 March 2022
AMA Style
Vesnik M. Physical interpretation of the solution to the problem of diffraction on a half-plane with non-ideal boundary conditions. Journal of Engineering Research and Sciences. 2022;1(3):52-58. doi:10.55708/js0103006
Chicago/Turabian Style
Vesnik, Michael. “Physical Interpretation of the Solution to the Problem of Diffraction on a Half-Plane with Non-Ideal Boundary Conditions.” Journal of Engineering Research and Sciences 1, no. 3 (2022): 52–58. https://doi.org/10.55708/js0103006.
IEEE Style
M. Vesnik, “Physical interpretation of the solution to the problem of diffraction on a half-plane with non-ideal boundary conditions,” Journal of Engineering Research and Sciences, vol. 1, no. 3, pp. 52–58, 2022.
The recently proposed method of fundamental components is employed to develop a technique for obtaining a heuristic solution to the problem of diffraction on a half-plane with non-ideal boundary conditions. The difference between the new method and traditional heuristic approaches, such as the geometric theory of diffraction and the method of edge waves, is the presence of an adjustment procedure which allows increasing the accuracy while maintaining the compactness of the formulas. For the case of the problem of diffraction on an impedance half-plane, heuristic formulas are constructed. Then they are refined using a verification solution. A quantification of accuracy is carried out, and a physical interpretation of the solution is presented. The prospects for applying this approach to constructing high-speed solvers and carrying out the physical interpretation of numerical solutions are discussed.
- U. Jakobus, “Overview of hybrid methods in FEKO: Theory and applications,” 2010 International Conference on Electromagnetics in Advanced Applications, 2010, pp. 434-437, doi: 10.1109/ICEAA.2010.5653159
- Hönl, H.; Maue, A.W.; Westpfahl, K. Handbuch der Physik; Flügge, S., Ed.; Springer: Berlin/Heidelberg, Germany, 1961; Mir: Moscow, Russia , 1964; Volume 25/1 , p. 218.
- Kravtsov, Y.A.; Zhu, N.Y. Theory of Diffraction: Heuristic Approaches; Alpha Science Int.: Oxford, UK, 2010
- James, G.L. Geometrical Theory of Diffraction for Electromagnetic Waves; Peter Peregrinus Ltd.: London, UK, 1976.
- Borovikov, V.A.; Kinber, B.E. Geometrical Theory of Diffraction; IEEE: London, UK, 1994.
- M.V. Vesnik. The Method of the Generalized Eikonal. New Approaches in the Diffraction Theory (Walter de Gruyter, Berlin, 2015).
- M.V. Vesnik MV. Physical Interpretation of Strict Solutions of Diffraction Problems by Heuristic Relations. Journal of Mathematical Sciences, 239, 751–770 (2019). https://doi.org/10.1007/s10958-019-04324-8
- M.V. Vesnik, “New Possibilities for Constructing Heuristic Solutions to Problems of Electromagnetic Diffraction”, Eng 2022, 3, 27-41. https://doi.org/10.3390/eng3010004
- M.V. Vesnik, S.E. Bankov, “Heuristic solution to the problem of diffraction of a TE-polarized electromagnetic wave on a semitransparent half-plane”, Waves in Random and Complex Media, July 2021, DOI 10.1080/17455030.2021.1951888
- M.V. Vesnik, “Using the Method of Base Components for a Heuristic Solution to the Diffraction Problem on a Half-Plane with Nonideal Boundary Conditions”, J. Commun. Technol. Electron. 2019, 64, 1211–1217
- M.V. Vesnik, “Physical Interpretation of the Solution to the Problem of Diffraction on the Impedance Half-plane”, 2020 7th All-Russian Microwave Conference (RMC), Moscow, Russia, 2020, pp. 200-202, DOI: 10.1109/RMC50626.2020.9312342
- S.E. Bankov, Integrated Microwave Optics, (Fizmatlit, Moscow, 2018).
- B. Noble, Methods based on the Wiener – Hopf Technique for the Solution of Partial Differential Equations, London, 1958.
- Senior, T.B.A. Half plane edge diffraction. Radio Sci. 1975, 10, 645.
- Senior, T.B.A. Diffraction tensors for imperfectly conducting edges. Radio Sci. 1975, 10, 911.
- Voitovich, N.N.; Katsenelenbaum, B.Z.; Korshunova, E.N.; Pangonis, L.I.; Pereyaslavets, M.L.; Sivov, A.N.; Shatrov, A.D. Electromagnetics of Antennas with Semitransparent Surfaces. A Method of Constructive Synthesis; Nauka: Moscow, Russia, 1989.
- P.Y. Ufimtsev, Method of Edge Waves in the Physical Theory of Diffraction (Sovetskoe Radio, Moscow, 1962; US Air Force Foreign Technology Division, 1-1154, 1962).
- Ufimtsev, P.Y. Theory of Edge Diffraction in Electromagnetics; Tech Science Press: Encino, CA, USA, 2003. ISBN 0-9657001-7-8.
- Ufimtsev, P.Y. Fundamentals of the Physical Theory of Diffraction; John Wiley & Sons, Inc.: Hoboken, NJ, USA, 2007.
- S.E. Bankov, M.V. Vesnik, V.F. Kravchenko, “Heuristic Solution to the Diffraction Problem on a Superconducting Half-Plane”, Journal of Communications Technology and Electronics, 2020, Vol. 65, No. 4, pp. 398–405.
- Raman CV, Krishnan KS. The Diffraction of Light by Metallic Screens, Proc. R. Soc. Lond. A 1927 Vol.116 254-267; DOI: 10.1098/rspa.1927.0135. Published 1 October 1927
- Shmoys J. Diffraction by a Half-Plane with a Special Impedance Variation, IRE Trans. on Antennas and Propagation Vol.7, No.5, December 1959, pp.88 – 90
- Luebbers RJ. “Finite conductivity uniform GTD versus knife edge diffraction in prediction of propagation path loss”, IEEE Transactions on Antennas and Propagation, vol. AP-32, pp. 70–76, Jan. 1984
- Holm PD. A New Heuristic UTD Diffraction Coefficient for Nonperfectly Conducting Wedges, IEEE Transactions on Antennas and Propagation, vol. 48, NO. 8, August 2000
- El-Sallabi HM, Rekanos IT, Vainikainen P. “A New Heuristic Diffraction Coefficient for Lossy Dielectric Wedges at Normal Incidence”, IEEE Antennas and Wireless Propagation Letters, Vol. 1, 2002, pp. 165-168
- Soni S, Bhattacharya A. «New heuristic diffraction coefficient for modeling of wireless channel», Progress In Electromagnetics Research C, Vol. 12, 125 – 137, 2010
