A powerful new approach for the treatment of dispersive media in finite-difference time-domain method

We show here that both the Debye poles and Lorentz pole pairs are special cases of complex-conjugate pole-residue pairs, and the general form of such pairs in fact offers us a much more efficient approach of treating real dispersive media in FDTD than the usual ones that are based on Debye poles and Lorentz pole pairs. We first derive a unified formulation of the auxiliary differential equation method for arbitrary dispersive media by using these pairs. We then use this formulation to perform several numerical experiments, including the permittivity of noble metal Ag and the electroabsorption coefficient of semiconductor quantum wells. The result of these experiments clearly demonstrates the feasibility and advantages of using these pairs in treating dispersive media in FDTD.

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