Cauchy problem definition is considered for Maxwell equations which describe plane electromagnetic wave diffraction on object. The effective current density is constructed for given plane wave radiation. The unicity of Cauchy problem solution is shown. Boundary conditions for initial-boundary problem are formulated; the unicity of problem solution is shown. The implicit finite-difference scheme is chosen, finite-difference boundary conditions are constructed.

electromagnetic field, Maxwell equations, Cauchy problem, initial-boundary problem, boundary condition, finite-difference scheme

Mathematical modelling in actual problems of science and technics