Rigorous numerical technique for simulation of relativistic electron beam (REB) radiation processes near a finite length grating

Summary form only given, as follows. Numerical analysis problems of REB interaction with a finite length diffraction grating in resonant region (/spl lambda//spl sim/l, where /spl lambda/ is wavelength of the radiation, l is grating period) is important for the theory and simulation of physical processes in grating based electronic devices. The proposed new approach is based on two main steps: (a) reduction of the initial two-dimensional boundary problem for Maxwell equations to the system of one-dimensional singular integral equations (SSIE); (b) rigorous numerical solving of the SSIE by direct numerical method. It allow us to correctly describe multimode regimes of the interaction to be usually realized in high power electronic devices. As a result the effective algorithm for finite length grating with rectangular form of elements has been built up. Particular attention is paid to the study of grating length influence on the interaction regimes near Wood´s anomalies and n/spl pi/-point frequencies. A number of numerical results for far field angular distribution and transverse and longitudinal field structures near the grating was obtained.