Abstract
Summary form only given as follows. A new strong mathematically rigorous and numerically effective method for solving a boundary value problem of electromagnetic wave diffraction by an infinitely thin perfectly conductive circular ring screen is proposed. The method is based on the combination of the orthogonal polynomials approach and analytical regularization method. As a result of the regularization procedure, the initial boundary value problem is reduced to an infinite system of the linear algebraic equations of the second kind in the space of square summable sequences. This equation can be solved numerically by means of a truncation method with, in principle, any desired accuracy. The perspective of the method also includes the solution to the problem of electromagnetic wave diffraction by a few infinitely thin circular ring screens. Pilot experiments show good perspective of such a ring reflector for development of an individual antenna tag for rescue radar systems.
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