Calculation of Pulse Signal Propagation in Periodic Structures with Mode Expansion in Time Domain Method

Mode Expansion in Time Domain (METD) method, also known as Mode Basis Method, was developed for solution of problem of pulse signal propagation in periodic structures. General formulae of the method are given. For simple example of periodic structure the mode basis is constructed, System of Evolutionary Equation (SEE) for amplitudes of expansion over this basis is obtained, effective numerical method for SEE solution is presented. The method convergence was proved, calculation results were compared with FDTD results. Numerical efficiency of METD in comparison with FDTD is explained and demonstrated.