Fractional-calculus-based FDTD method for solving pulse propagation problems

L. Mescia, P. Bia, D. Caratelli

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

5 Citations (Scopus)

Abstract

In this paper, an accurate finite-difference time-domain (FDTD) scheme for modeling the electromagnetic pulse propagation in arbitrary dispersive media is presented. The main mathematical drawbacks encountered while solving this class of problems by means of the FDTD technique is the approximation of the fractional derivatives appearing in the time-domain permittivity response pertaining such materials. In order to overcome this issue, the proposed scheme solves the Maxwell's equations directly in the time-domain by using the Riemann-Liouville fractional derivative operator. The feasibility of the proposed method is demonstrated by simulating the ultra-wideband wave propagation in general stratified Raicu dispersive media displaying multiple relaxation times response.

Original languageEnglish
Title of host publicationProceedings of the 2015 International Conference on Electromagnetics in Advanced Applications, ICEAA 2015
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages460-463
Number of pages4
ISBN (Electronic)978-1-4799-7806-9
ISBN (Print)978-1-4799-7805-2
DOIs
Publication statusPublished - 12 Oct 2015
Event17th International Conference on Electromagnetics in Advanced Applications, ICEAA 2015 - "Centro Congressi Torino Incontra", Torino, Italy
Duration: 7 Sep 201511 Sep 2015
Conference number: 17

Conference

Conference17th International Conference on Electromagnetics in Advanced Applications, ICEAA 2015
Abbreviated titleICEAA 2015
CountryItaly
CityTorino
Period7/09/1511/09/15
Other

Keywords

  • Breast
  • Cancer
  • Dispersion
  • Finite difference methods
  • Media
  • Permittivity
  • Time-domain analysis

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