Extension of FLOD-FDTD Method for Multiterm Modified Lorentz Model
Guoda Xie, Guilin Hou, Ke Xu, Kaikun Niu, Naixing Feng, Yingsong Li, Zhixiang Huang, Atef Z. Elsherbeni
Abstract
The numerical superiority of the unconditionally stable fundamental locally one-dimensional finite-difference time-domain (FLOD-FDTD) method has been proved in some studies. In this article, the FLOD-FDTD method is extended to simulate general dispersive media in combination with the auxiliary differential equation (ADE) scheme with formulation based on the electric field ( <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${E}$ </tex-math></inline-formula> ) and electric polarization ( <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${P}$ </tex-math></inline-formula> ). The relative permittivity of dispersive media is described by the arbitrary multi-term modified Lorentz model which can also represent Debye and Drude models. Thus, this method is able to include different types of dispersion in a unified formulation. The correctness and efficiency of the proposed method are demonstrated by some numerical cases.