Scattering of electromagnetic waves in a channel with a step-like boundary

An optimization problem for the multichannel electrodynamical systems of energy accumulation is considered. The aim is to achieve a homogeneous electric field of maximum amplitude in the near axis domain. The energy provided in such systems requires the use of a structure of periodic narrow channels with Bragg reflectors. To define the optimal parameters, the model scattering problem with one Bragg reflector is solved. To obtain an approximate solution, the method of discrete sources is developed. A new way of source placement is suggested. To avoid incorrectness of the problem considered, the modification of the classical regularization procedure is applied. A comparison of numerical and analytical solutions is performed.