The numerical method of microwave diffraction problem solution on the nonplanar irregular shape screen

Background. Mathematical modeling of the electromagnetic and acoustic wave diffraction process on the screens and bodies of different shapes is important in electrodynamics and other branches of science and technology. The objective of this work is to research a microwave diffraction problem on the nonplanar irregular shape screen by the numerical method. Materials and methods. The problem of diffraction of electromagnetic waves on the infinitely thin and perfectly conducting screen is reduced to an integro-differential equation. The concept of “canonical figure” has been introduced for task digitization. For this figure a computational grid and its core elements were defined. On the supports of this grid the basis “Rooftop” functions were given. The Galerkin method was used as a projection method to transfer from an integro-differential equation to a combined linear algebraic equation. The subhierarchical method was used to produce numerical results on the screens of different shapes. Results. Through mathematical modeling the author obtained graphic and numerical distributions of surface currents on the different shapes of screens such as “a cross”, “a corner” and “a cylinder”. The worked out program and algorithm allow to define an integro-differential equation solution modulus to which the electromagnetic wave diffraction problem is reduced. Conclusions. The developed program and algorithm can be used for solution of vector problems of electrodynamics and mathematical modeling of electrodynamic process and objects, for example, a diffraction problem solution in the microwave range.