Journal of Xidian University

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Highly stable FDTD method for complicated dispersive medium

ZHANG Yuqiang1;GE Debiao2   

  1. (1. School of Physics and Electronic Information, Yanan Univ., Yanan 716000, China;
    2. School of Physics and Optoelectronic Engineering, Xidian Univ., Xian 710071, China)
  • Received:2017-11-10 Published:2018-09-25

Abstract:

A novel finite-difference time-domain (FDTD) approach for analyzing a complicated dispersion model is presented. Starting from the susceptibility in the quadratic rational function form, the explicit FDTD time-step formula is obtained by applying the Newmark algorithm to both sides of the relation equation with the polarization vector and electric field in the time domain. Then, the stability of the presented algorithm is investigated from two aspects of theory and numerical computation. It is observed that this method has the advantages of generality and high stability and can thus be applied to the treatment of many complicated dispersion models, including the complex conjugate pole residue model, the critical point model, the modified Lorentz model, the complex quadratic rational function, etc.

Key words: complicated dispersive model, Newmark algorithm, finite-difference time-domain (FDTD) method, stability analysis