Simulating 3D YEE model with MATLAB

MATLAB is accepted as one of the most popular and practical programming environment for the problems of engineering and science. Usually, it is almost the first choice for the problems modelled in 1D and 2D. However, the problems involving 3D or 4D cases, MATLAB loses its popularity due to having rather poor computing run-time. In this work, a problem from the field of computational electromagnetism, 3D YEE Model of Lossy Dielectric, is fully coded by using MATLAB. The problem is discretized by means of Finite Difference Time Domain (FDTD) method. At the first stage, direct conversion from FORTRAN to MATLAB is tested and found cpu run time as about eight hundred seconds for MATLAB against nine seconds of FORTRAN. However, later some modifications are carried out on the code and the cpu time is reduced to as low as around one hundred seconds which is reasonable considering the size of the problem of interest.