Application of fractional derivatives to the FDTD modeling of pulse propagation in a Cole–Cole dispersive medium | Zendy

Torres François | Zendy; Vaudon Patrick | Zendy; Jecko Bernard | Zendy

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Application of fractional derivatives to the FDTD modeling of pulse propagation in a Cole–Cole dispersive medium

Author(s) -

Torres François,

Vaudon Patrick,

Jecko Bernard

Publication year - 1996

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/(sici)1098-2760(19961205)13:5<300::aid-mop16>3.0.co;2-a

Subject(s) - finite difference time domain method , fractional calculus , time domain , pulse (music) , mathematics , mathematical analysis , physics , calculus (dental) , computer science , optics , medicine , dentistry , detector , computer vision

This article presents an application of the fractional derivative concept to the modeling of the time‐domain propagation in dispersive Cole‐Cole media. A recursive finite‐difference(SINGLEBOND)time‐time‐domain (FDTD) formulation is developed to solve the special differential equation that is obtained. This formulation is validated by comparing the calculated permittivities to analytical values. © 1996 John Wiley & Sons, Inc.

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