THE APPLICATION OF A FINITE-DIFFERENCE FINITE-VOLUME ALGORITHM TO SOLVE MAXWELLS EQUATIONS IN THE TIME-DOMAIN

A finite volume/finite difference method based on Ni's multigrid formu lation is introduced for the solution of Maxwell's equations. The sche me is presented for the cases of transverse magnetic scattering from t wo-dimensional circular and square cylinders, as well as from NACA 001 2 airfoil. The codes are validated against the traditional Method of M oments, which is analogous to a panel method in CFD. The circular cyli nder scattering is compared to the analytical series solution for bett er understanding how the roles of numerical dispersion and dissipation errors affect the solution. The reflecting boundary conditions are mo deled by the idea of inducing fields inside the conductor and a method of modeling the singularities that arise at a sharp corner is present ed. Absorbing boundary conditions are modeled by integrating along the characteristic compatibility equations in the direction of the outgoi ng wave.