The method of electromagnetic field with the given wavefront calculation

The numerical method for solution of three-dimensional Maxwell's equations with initial data on a characteristic surface is represented. The implicit completely conservative difference scheme is constructed. The algorithm of solution of mesh equations is proposed. The results of calculation of electromagnetic field, which is generated by the given time-depended current density distribution in the region with discontinuous conductivity, are represented. The comparison of results of calculation by the presented method and with help of the explicit difference scheme in laboratory time is cited.