Geodesic
Diffraction of an $H$-polarized surface wave by an abgular break of a thin dielectric slab
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 37, Tome 354 (2008), pp. 100-111 Cet article a éte moissonné depuis la source Math-Net.Ru

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This paper reports the recent advance in applications of the Sommerfeld–Malyuzhinets technique to the diffraction problem of a surface wave by an angular break of a thin material slab. The solution is represented by the Sommerfeld intergrals which are then substituted into the boundary conditions. The unknown spectral functions satisfy coupled Malyuzhinets functional equations. The latter are then reduced to the Fredholm second kind integral equations which are solved numerically. The scattering diagram of the cylindrical wave arising from the edge of the structure is computed. Bibl. – 3 titles, fig. – 3. 
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     title = {Diffraction of an $H$-polarized surface wave by an abgular break of a~thin dielectric slab},
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V. È. Grikurov; M. A. Lyalinov. Diffraction of an $H$-polarized surface wave by an abgular break of a thin dielectric slab. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 37, Tome 354 (2008), pp. 100-111. http://geodesic.mathdoc.fr/item/ZNSL_2008_354_a3/

[1] V. M. Babich, M. A. Lyalinov, V. E. Grikurov, Diffraction Theory: The Sommerfeld–Malyuzhinets Technique, Alpha Scie. Int., Oxford, 2008

[2] M. A. Lyalinov, N. Y. Zhu, “Diffraction of a skew incident plane electromahnetic wave by an impedance wedge”, Wave Motion, 44 (2006), 21–43 | DOI | MR

[3] M. A. Lyalinov, N. Y. Zhu, “A solution proceduce for second-order difference equations and its application to electromagnetic-wave diffraction in a wedge-shaped region”, Proc. Roy. Soc. Lond. A, 459 (2003), 3159–3180 | DOI | MR | Zbl