Non-classical structural mathematical means and optic

Rvachev (1991, 1995) has shown that, for a body velocity comparable with the light velocity, the Archimedean axiom and the Archimedean arithmetic calculus rules (+,-,x,/) are not correct, if it is applied to the calculations in the mathematical methods in electromagnetic theory and optics. NonArchimedean arithmetic rules and functions are nonclassical structural mathematical means and must be used for calculations in the mathematical methods in electromagnetic theory. It is shown that a two-dimensional model can be constructed. This model allows one to derive on numerous occasions the algebraic expressions of the nonArchimedean arithmetic rules, the nonArchimedean functions and algebraic expressions of the optical laws, for example, the optical laws for the light propagation and reflection on the two optical mediums boundary.