Abstract
The structure of an operator that determines the partial conditions of radiation in the scalar problem of diffraction theory is considered. Nonlocal boundary conditions are determined by a series setting a certain integro-differential operator. The principal part of this operator is presented in the explicit form of a hyper-singular operator and its components with lower-order singularities. The remaining rapidly converging part of the functional series determines an integral operator with a continuous kernel.
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Original Russian Text © A.L. Delitsyn, 2017, published in Vestnik Moskovskogo Universiteta, Seriya 3: Fizika, Astronomiya, 2017, No. 4, pp. 12–15.
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Delitsyn, A.L. Determination of singularities in an operator of partial radiation conditions. Moscow Univ. Phys. 72, 340–344 (2017). https://doi.org/10.3103/S002713491704004X
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DOI: https://doi.org/10.3103/S002713491704004X