Development of the Approximating Functions Method for Problems in a Planar Waveguide with Constant Polarization

Article introduces an extension of the approximating functions method, a particular case finite element method (FEM) with interpolating in form Lagrange polynomials special form, to solve electrodynamics problems planar waveguide constant polarization spatial-temporal domain using Volterra integral equation method. The main goal article is expand area ​​applicability this three-dimensional polarization, as well obtain general interpolation expressions analytical which will be used construct system nonlinear equations for solving specific problems.