Abstract
A new, mathematically efficient method for solving the vector equation of diffraction on an open surface of rotation is proposed. The method is based on the allocation of the main operator, the definition of functional spaces and the reduction of the operator equation to the Fredholm equation of the second kind. Sobolev spaces are used as ones that take into account the Meixner condition on the edge. In the selected spaces, the main operator is bounded and invertible; the inverse operator is also bounded. A projection method for solving operator equations has been developed.
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