Abstract
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.
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Seran S., Donohoe J.P., Topsakal E.: Diffraction from a material loaded tandem slit. IEEE Trans. Antennas Propag. 57, 3500–3511 (2009)
Büyükaksoy A., Çınar G., Serbest A.H.: Scattering of plane waves by a junction of a transmissive and soft/hard half-planes. Z. Angew. Math. Phys. 55, 483–499 (2004)
Melkumyan A.: On acoustic and electric waves diffraction in piezoelectric medium by a permeable half-plane crack. Z. Angew. Math. Phys. 58, 330–349 (2007)
Lee S.U., Eom H.J., Kwon J.H.: TEM mode in the GTEM cell. J. Electromagn. Waves Appl. 25, 519–526 (2011)
Sautbekov S.S.: Diffraction of plane wave by strip with arbitrary orientation of wave vector. Prog. Electromagn. Res. M 21, 117–131 (2011)
Moiola A., Hiptmair R., Perugia I.: Plane wave approximation of homogeneous Helmholtz solutions. Z. Angew. Math. Phys. 62, 809–837 (2011)
Sheingold L.S., Storer J.E.: Circumferential gap in a circular wave guide excited by a dominant circular-electric wave. J. Appl. Phys. 25, 545–552 (1954)
Morita N., Nakanishi Y.: Circumferential gap in a TE01-mode transmitting multimode circular waveguide. IEEE Trans. Microwave Theory Tech. 16, 183–189 (1968)
Chang D.C.: Equivalent circuit representation and characteristics of a radiating cylinder driven through a circumferential slot. IEEE Trans. Antennas Propag. 21, 792–796 (1973)
Hurd R.A.: The field in a narrow circumferential slot in a coaxial waveguide. Can. J. Phys. 51, 946–955 (1973)
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, 470–479 (1975)
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, 679–682 (1975)
Lawrie J.B.: Axisymmetric radiation from a finite gap in an infinite, rigid, circular duct. IMA J. Appl. Math. 40, 113–128 (1988)
Elmoazzen Y.E., Shafai L.: Mutual coupling between parallel-plate waveguides. IEEE Trans. Microw. Theory Tech 21, 825–833 (1973)
Elmoazzen Y.E., Shafai L.: Mutual coupling between two circular waveguides. IEEE Trans. Antennas Propag. 22, 751–760 (1974)
Cho Y.K.: Analysis of a narrow slit in a parallel-plate transmission line: E polarization case. Electron Lett 23, 1105–1106 (1987)
Park J.K., Eom H.J.: TM scattering by a gap on a circular waveguide. Microw. Opt. Technol. Lett. 37, 146–148 (2003)
Çınar H., Çınar G.: Scattering of a TEM wave by a large circumferential gap on a coaxial waveguide, J. Electromag. Waves Appl. 27, 615– (2013)
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)
Polat B.: Diffraction of acoustic waves by a cylindrical impedance rod of finite length. Z. Angew. Math. Mech. 79, 555–567 (1999)
Çınar, G., Büyükaksoy, A.: Plane wave diffraction by a slit in an impedance plane and a complementary impedance strip. Radio Sci. 39, (2004). doi:10.1029/2003RS002957
Tayyar, I.H., Büyükaksoy, A., Işıkyer, A.: Wiener–Hopf analysis of the parallel plate waveguide with finite length impedance loading. Radio Sci. 43, (2008). doi:10.1029/2007RS003768
Mittra R., Lee S.W.: Analytical Techniques in the Theory of Guided Waves. McMillan, New York (1971)
Aksimsek S., Çınar 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, 2783–2791 (2013)
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Öztürk, H., Çınar, G. & Yanaz Çınar, Ö. TEM wave radiation from a dielectric-filled coaxial waveguide with a large circumferential gap on its outer wall. Z. Angew. Math. Phys. 66, 1299–1313 (2015). https://doi.org/10.1007/s00033-014-0445-2
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DOI: https://doi.org/10.1007/s00033-014-0445-2