M.A. Buzova - Ph.D. (Eng.) scientist, leading researcher, JSC «Concern «Automation». E-mail: bma@oao-avtomatika.ru S.A. Bukashkin - Dr. Sci (Eng.), professor, member of russian cryptography academy, general director, JSC «Concern «Automation». E-mail: fgup@niia.ru M.A. Minkin - Dr. Sci (Eng.), professor, scientist, chief researcher, JSC «Concern «Automation». E-mail: mma@oao-avtomatika.ru

Two novel approximate second kind integral equations for problems of electromagnetic waves diffraction on thin weakly curved plate scatterers are shown. The first equation is created concerning equivalent current being sum of the face and back scatterer currents. The second equation is created concerning face scatterer current, and back scatterer current is a priory considered. The main restrictions of the proposed equations are shown. The first group of constraints associated with the curvature of scatterer. In fact, in the problems it may involve the analysis of very flat and slightly curved scatterers. The second group of constraints related to the thickness of scatterer. In fact, it could be very thin scatterers. The third group of constraints associated with not taking into account the current scatterer cowling. The problems of test the proposed equations are shown. To do this, provided as equity control of correctness of the obtained solutions and external controls. As an advocate of equity check internal convergence of surface current density, as well as monitoring implementation of boundary conditions, including the control of the residual (the error that the boundary conditions) and control residual convergence (to zero). In addition, further carried out to check that the boundary conditions for the first kind integral equation for the solution obtained by means of integral equations of the second kind. As external funds used comparisons with solutions obtained by well-known conventional methods, as well as commercial software. Some testing examples are given. Testing results confirm correctness of the arguments held.