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Plane Wave Diffraction By a Wedge Coated with Thin Bi-Isotropic Layers

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Advances in Complex Electromagnetic Materials

Part of the book series: NATO ASI Series ((ASHT,volume 28))

Abstract

In this paper the diffraction problem is considered for the plane electromagnetic wave incident on a perfectly conducting wedge, the faces of which are coated with thin layers of bi-isotropic materials. The presence of the layers is taken into account with the help of the approximate boundary conditions. These conditions contain the second derivative in the direction along the boundary. Therefore it is necessary to impose so-called contact conditions that prescribe certain relations between the wave field and its derivatives on the edge. The Malyuzhinets functional equations are obtained for the transform of the Sommerfeld-Malyuzhinets integral. These equations are considered with the help of the modified Malyuzhinets technique.

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References

  1. Lindell, I.V., Sihvola, A.H., Tretyakov, S.A., and Viitanen, A.J. (1994) Electromagnetic Waves in Chiral and Bi-Isotropic Media. Artech House, Boston.

    Google Scholar 

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

    Google Scholar 

  3. Senior, T.B.A., and Volakis, J.L. (1989) Derivation and application of class of generalized boundary conditions, IEEE Trans. on Antennas and Propagation, 37, No. 12, 1566–1572.

    Article  MathSciNet  MATH  Google Scholar 

  4. Osipov, A.V. (1994) General solution for a class of diffraction problems, J. Phys. A: Math. Gen., 27, L27–L32.

    Article  MathSciNet  Google Scholar 

  5. Malyuzhinets, G.D., and Tuzhilin, A.A. (1970) Diffraction of a plane sound wave by the thin semi-infinite elastic plate, Zh. Vych. Mat. & Mat. Fiz., 10, No. 5, 1210–1227 (in Russian).

    MATH  Google Scholar 

  6. Tuzhilin, A.A. (1973) Diffraction of a plane sound wave in the corner region of the surfaces which are ideally hard and slippery and coated with thin elastic plates, Differentsialnye Uravnenija, 9, No. 10, 1875–1887 (in Russian).

    MathSciNet  Google Scholar 

  7. Belinskii, B.P., Kouzov, D.P., and Cheltsova, V.D. (1973) About diffraction of the acoustic waves by plates, which are joined under right corner, Appl. Math. Mech., 37, No. 2, 291–299.

    Google Scholar 

  8. Rojas, R.G., Ly, H.C., and Pathak, P.H. (1991) Electromagnetic plane wave diffraction by a planar junction of two thin dielectric/ferrite half planes, Radio Sci., 26, No. 3, 641–660.

    Article  Google Scholar 

  9. Tretyakov, S.A. (1994) Approximate boundary conditions for a thin bi-isotropic slab, J. Communications Technology & Electronics, 39, No. 2, 184–192.

    Google Scholar 

  10. Osipov, A.V. (1995) Electromagnetic scattering by an arbitrary angled wedge with penetrable faces: analytical treatment using higher-order boundary conditions, in, Proc. URSI Int. Symp. on Electromagnetic Theory. St. Petersburg University Press, St. Petersburg, pp. 510–512.

    Google Scholar 

  11. Lyalinov, M.A., and Vardapetyan, L.G. (1995) Electromagnetic diffraction by a coated wedge for an arbitrary incident plane wave, in, Proc. URSI Int. Symp. on Electromagnetic Theory. St. Petersburg University Press, St. Petersburg, pp. 513–515.

    Google Scholar 

  12. Malyuzhinets, G.D. (1958) Excitation, reflection and emission of surface waves from a wedge with given face impedances, Sov. Phys. Dokl., 3, No. 4, 752–755.

    Google Scholar 

  13. Malyuzhinets, G.D. (1981) Sommerfeld Integrals and Their Applications. Rumb, Leningrad (in Russian).

    Google Scholar 

  14. Bobrovnikov, M.S., and Fisanov, V.V. (1988) Wave Diffraction in Angular Regions. Tomsk Univ. Publ., Tomsk (in Russian).

    Google Scholar 

  15. Tuzhilin, A.A. (1971) The theory of the Malyuzhinets functional equations. IV. Inhomogeneous functional equations with the periodic coefficients, Differentsialnye Uravnenija, 7, No. 7, 1276–1287 (in Russian).

    MathSciNet  MATH  Google Scholar 

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© 1997 Springer Science+Business Media Dordrecht

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Vashtalov, S.G., Fisanov, V.V. (1997). Plane Wave Diffraction By a Wedge Coated with Thin Bi-Isotropic Layers. In: Priou, A., Sihvola, A., Tretyakov, S., Vinogradov, A. (eds) Advances in Complex Electromagnetic Materials. NATO ASI Series, vol 28. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5734-6_17

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  • DOI: https://doi.org/10.1007/978-94-011-5734-6_17

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6418-7

  • Online ISBN: 978-94-011-5734-6

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