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Unconditionally stable FDTD scattered field formulation for dispersive media
Author(s) -
Rouf Hasan Khaled,
Erni Daniel
Publication year - 2016
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.29963
Subject(s) - finite difference time domain method , debye , lorentz transformation , microwave , scheme (mathematics) , computation , stability (learning theory) , field (mathematics) , dispersive partial differential equation , mathematics , mathematical analysis , computer science , physics , algorithm , differential equation , optics , classical mechanics , quantum mechanics , telecommunications , pure mathematics , machine learning
A new unconditionally stable scattered field (SF) formulation for the finite difference time domain (FDTD) technique applied to dispersive media is presented. The scheme is based on alternating direction implicit (ADI) principle but, unlike ADI, it does not require computation and storage of field values at the intermediate time steps which reduces computational costs and memory. Dispersive media characterized by Debye and Lorentz models are incorporated in the proposed SF FDTD scheme by auxiliary differential equation (ADE) method. For each of the dispersive media unconditional stability and accuracy of the scheme are validated by numerical tests. The scheme can perform faster than the explicit FDTD scheme at Courant number as low as three. © 2016 Wiley Periodicals, Inc. Microwave Opt Technol Lett 58:1778–1782, 2016