Geodesic
On an integral equation in the problem of the plane wave diffraction by a circular transparent cone
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 33, Tome 308 (2004), pp. 101-123 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem of diffraction by a transparent convex cone is studied. The uniqueness theorem is proven in the problem of diffraction for the illumination by a compact source. For the circular cone the solution is obtained in the form of the Kontorovich–Lebedev integrals and of the Fourier series expansions. A singular integral equation is deduced for the Fourier coefficients and its reqularization is performed. 
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M. A. Lyalinov. On an integral equation in the problem of the plane wave diffraction by a circular transparent cone. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 33, Tome 308 (2004), pp. 101-123. http://geodesic.mathdoc.fr/item/ZNSL_2004_308_a6/

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