Accurate FDTD Modeling for Dispersive Media Using Rational Function and Particle Swarm Optimization

This article presents an accurate finite-difference time domain (FDTD) dispersive modelling suitable for complex dispersive media. A quadratic complex rational function (QCRF) is used to characterise their dispersive relations. To obtain accurate coefficients of QCRF, in this work, we use an analytical approach and a particle swarm optimisation (PSO) simultaneously. In specific, an analytical approach is used to obtain the QCRF matrix-solving equation and PSO is applied to adjust a weighting function of this equation. Numerical examples are used to illustrate the validity of the proposed FDTD dispersion model.This work was supported by the Basic Research Program through National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science, and Technology [NRF-2012R1A1A1015159] and by the KCC (Korea Communications Commission), Korea, under the R&D program supervised by the KCA (Korea Communications Agency) [KCA-2011-11911-01109]