A new model for radiation boundary conditions

In practical calculations of radiation problems, it is often essential to introduce artificial boundaries to limit the computational area. In this paper, we have developed a new approach for obtaining radiation boundary conditions at these artificial boundaries. This model provides stable difference approximations and minimize the artificial unphysical reflections at the boundaries. Another advantage of our method is the possibility to obtain an analytical solution after performing numerical calculations. The model performance is demonstrated on the radiation problem of a dipole antenna by the finite difference method. The proposed boundary conditions show extremely low computational and time demands in comparison with the results obtained by a classical scheme.