Nonreflecting artificial boundary conditions on the base of lacunas using for the calculation of a long time Maxwell’s equation's decisions

The non-reflecting boundary conditions for the Maxwell's equations with the compact density of the electrical current are offered. The conditions are formulated on border located in the field of uniformity of the equations, near to density of the current. The algorithm based on a difference potentials method is suggested for the calculation of the decision on the border. The efficiency of algorithm is determined by properties of lacunas of the difference wave equation. The theorem, which allows to reduce calculation of an electromagnetic field on border to the decision of three independent wave equations, is proved.