Finite difference method in electromagnetic problems

Abstract

programs in the Matlab environment will be presented. Firstly, it will be demostrated the validity of this method to analyse waveguides and resonant cavities of various geometries and loaded with different media. This work reviews and compares different methods of solving electromagnetic problems by means of the FDM. The plan of this project can be specified in the following points: • Go over the concepts of Maxwell’s equations. • Implementation of FDM in one and two dimensions using Matlab environment. • Verification of the algorithms for a few structrures ( field distributions, resonant frequencies, cutoff frequencies, dispersion characteristics, etc ). • Analysis of possibilities of acceleration of the method in some special courses. Objectives: • Both understanding electromagnetic phenomenon in microwave and optical structures due to direct solution of Maxwell (in FDM). • Full acces to all variables and procedures. • Possibility of arbitrary modifications of the method (dedicated software can be faster and more accurate than the commercial one).