Application of Mathematical Programming in Problem of Electromagnetic Waves Nonlinear Scattering on Circular Cylinder

The optimization formulation of the problem of calculating the scattering of electromagnetic waves by a circular cylinder with nonlinear electrical contacts on the surface is considered. A nonlinear programming problem in which the optimality parameters are the currents on the nonlinear elements, and the optimality criterion expresses the requirement to fulfill the Manley-Rowe relations for each contact is formulated. The efficiency of the described approach in solving problems of nonlinear scattering is shown by the example of cylindrical reflectors.