TEM wave radiation from a dielectric-filled coaxial waveguide with a large circumferential gap on its outer wall

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• 作者：Hülya ?ztürk ; G?khan ??nar ; ?zge Yanaz ??nar
• 关键词：47A68 ; 45B05 ; 74J20 ; 78A50 ; 78A45 ; 78A40 ; Wiener–Hopf technique ; Integral equations ; Wave scattering
• 刊名：Zeitschrift f篓鹿r angewandte Mathematik und Physik
• 出版年：2015
• 出版时间：August 2015
• 年：2015
• 卷：66
• 期：4
• 页码：1299-1313
• 全文大小：849 KB
• 参考文献：1.Seran S., Donohoe J.P., Topsakal E.: Diffraction from a material loaded tandem slit. IEEE Trans. Antennas Propag. 57, 3500-511 (2009)View Article
  2.Büyükaksoy A., ??nar G., Serbest A.H.: Scattering of plane waves by a junction of a transmissive and soft/hard half-planes. Z. Angew. Math. Phys. 55, 483-99 (2004)MathSciNet View Article
  3.Melkumyan A.: On acoustic and electric waves diffraction in piezoelectric medium by a permeable half-plane crack. Z. Angew. Math. Phys. 58, 330-49 (2007)MathSciNet View Article
  4.Lee S.U., Eom H.J., Kwon J.H.: TEM mode in the GTEM cell. J. Electromagn. Waves Appl. 25, 519-26 (2011)View Article
  5.Sautbekov S.S.: Diffraction of plane wave by strip with arbitrary orientation of wave vector. Prog. Electromagn. Res. M 21, 117-31 (2011)View Article
  6.Moiola A., Hiptmair R., Perugia I.: Plane wave approximation of homogeneous Helmholtz solutions. Z. Angew. Math. Phys. 62, 809-37 (2011)MathSciNet View Article
  7.Sheingold L.S., Storer J.E.: Circumferential gap in a circular wave guide excited by a dominant circular-electric wave. J. Appl. Phys. 25, 545-52 (1954)View Article
  8.Morita N., Nakanishi Y.: Circumferential gap in a TE01-mode transmitting multimode circular waveguide. IEEE Trans. Microwave Theory Tech. 16, 183-89 (1968)View Article
  9.Chang D.C.: Equivalent circuit representation and characteristics of a radiating cylinder driven through a circumferential slot. IEEE Trans. Antennas Propag. 21, 792-96 (1973)View Article
  10.Hurd R.A.: The field in a narrow circumferential slot in a coaxial waveguide. Can. J. Phys. 51, 946-55 (1973)View Article
  11.Wait J.R., Hill D.A.: On the electromagnetic field of a dielectric coated coaxial cable with an interrupted shield. IEEE Trans. Antennas Propag. 23, 470-79 (1975)View Article
  12.Wait J.R., Hill D.A.: Electromagnetic fields of a dielectric coated coaxial cable with an interrupted shield–quasi-static approach. IEEE Trans. Antennas Propag. 23, 679-82 (1975)View Article
  13.Lawrie J.B.: Axisymmetric radiation from a finite gap in an infinite, rigid, circular duct. IMA J. Appl. Math. 40, 113-28 (1988)MathSciNet View Article
  14.Elmoazzen Y.E., Shafai L.: Mutual coupling between parallel-plate waveguides. IEEE Trans. Microw. Theory Tech 21, 825-33 (1973)View Article
  15.Elmoazzen Y.E., Shafai L.: Mutual coupling between two circular waveguides. IEEE Trans. Antennas Propag. 22, 751-60 (1974)View Article
  16.Cho Y.K.: Analysis of a narrow slit in a parallel-plate transmission line: E polarization case. Electron Lett 23, 1105-106 (1987)View Article
  17.Park J.K., Eom H.J.: TM scattering by a gap on a circular waveguide. Microw. Opt. Technol. Lett. 37, 146-48 (2003)View Article
  18.??nar H., ??nar G.: Scattering of a TEM wave by a large circumferential gap on a coaxial waveguide, J. Electromag. Waves Appl. 27, 615-(2013)View Article
  19.Kobayashi, K.: Some diffraction problems involving modified Wiener–Hopf geometries, Chap. 4. In: M. Hashimoto, M. Idemen, O. A. Tretyakov (eds.) Analytical and Numerical Methods in Electromagnetic Wave Theory, Science House, Tokyo (1993)
  20.Polat B.: Diffraction of acoustic waves by a cylindrical impedance rod of finite length. Z. Angew. Math. Mech. 79, 555-67 (1999)MathSciNet View Article
  21.??nar, G., Büyükaksoy, A.: Plane wave diffraction by a slit in an impedance plane and a complementary impedance strip. Radio Sci. 39, (2004). doi:10.-029/-003RS002957
  22.Tayyar, ?I.H., Büyükaksoy, A., I??kyer, A.: Wiener–Hopf analysis of the parallel plate waveguide with finite length impedance loading. Radio Sci. 43, (2008). doi:10.-029/-007RS003768
  23.Mittra R., Lee S.W.: Analytical Techniques in the Theory of Guided Waves. McMillan, New York (1971)
  24.Aksimsek S., ??nar G., Nilsson B., Nordebo S.: TEM wave scattering by a step discontinuity on the outer wall of a coaxial waveguide, IEEE Trans. Microw. Theory Tech. 61, 2783-791 (2013)View Article
  
• 作者单位：Hülya ?ztürk (1)
  G?khan ??nar (2)
  ?zge Yanaz ??nar (1)
  
  1. Department of Mathematics, Gebze Institute of Technology, Cayirova Campus, 41400, Gebze, Kocaeli, Turkey
  2. Electronics Engineering Department, Gebze Institute ofTechnology, Cayirova Campus, 41400, Gebze, Kocaeli, Turkey
  
• 刊物主题：Theoretical and Applied Mechanics; Mathematical Methods in Physics;
• 出版者：Springer Basel
• ISSN：1420-9039

文摘

TEM wave radiation from a dielectric-filled coaxial waveguide with a large circumferential gap on its outer wall is investigated rigorously by applying direct Fourier transform and reducing the problem into the solution of a modified Wiener–Hopf equation of the first type. Classical Wiener–Hopf procedure is applied by considering two different approaches for the factorization of the kernel function, and the Wiener–Hopf equation is solved via a set of Fredholm integral equations of the second type. The problem is also analyzed by applying a combination of Fourier transform and simple series representation, and the results are compared numerically. Besides, the effects of radii of the walls, relative permittivity, frequency, and the gap width on the scattered fields are illustrated graphically.