Wave diffraction by axially symmetrical system of finite soft cylinders

Abstract

A new strong mathematically rigorous and numerically efficient method for solving the boundary value problem of scalar wave diffraction by a system of infinitely thin circular cylindrical screens is proposed. The method is based on a combination of Orthogonal Polynomials Method [1-2] and Analytical Regularization Method as used in [3,4,5]. The solution is generalization of the investigation done for one cylinder [6] and the method has been demonstrated on flat soft circular ring [6,7,8]. As a result of the suggested regularization procedure, the initial boundary value problem was equivalently reduced to the infinite system of the linear algebraic equations of the second kind, i.e. to an equation of the type (I + H)x = b, x, b is an element of l(2) - in the space l(2) of square summable sequences. This equation can be solved numerically by means of truncation method with, in principle, any required accuracy. Pilot experiments show good perspective of such cylindrical reflector for development of individual antenna tag for rescue radar or broadcast systems in mm waveband.