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

L. Mescia; P. Bia; D. Caratelli

doi:10.1109/ICEAA.2015.7297154

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

L. Mescia, P. Bia, D. Caratelli

Electromagnetics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-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 language	English
Title of host publication	Proceedings of the 2015 International Conference on Electromagnetics in Advanced Applications, ICEAA 2015
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	460-463
Number of pages	4
ISBN (Electronic)	978-1-4799-7806-9
ISBN (Print)	978-1-4799-7805-2
DOIs	https://doi.org/10.1109/ICEAA.2015.7297154
Publication status	Published - 12 Oct 2015
Event	17th International Conference on Electromagnetics in Advanced Applications, ICEAA 2015 - "Centro Congressi Torino Incontra", Torino, Italy Duration: 7 Sep 2015 → 11 Sep 2015 Conference number: 17

Conference

Conference	17th International Conference on Electromagnetics in Advanced Applications, ICEAA 2015
Abbreviated title	ICEAA 2015
Country	Italy
City	Torino
Period	7/09/15 → 11/09/15
Other

Keywords

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

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Cite this

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title = "Fractional-calculus-based FDTD method for solving pulse propagation problems",

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.",

keywords = "Breast, Cancer, Dispersion, Finite difference methods, Media, Permittivity, Time-domain analysis",

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Mescia, L, Bia, P & Caratelli, D 2015, Fractional-calculus-based FDTD method for solving pulse propagation problems. in Proceedings of the 2015 International Conference on Electromagnetics in Advanced Applications, ICEAA 2015., 7297154, Institute of Electrical and Electronics Engineers, Piscataway, pp. 460-463, 17th International Conference on Electromagnetics in Advanced Applications, ICEAA 2015, Torino, Italy, 7/09/15. https://doi.org/10.1109/ICEAA.2015.7297154

Fractional-calculus-based FDTD method for solving pulse propagation problems. / Mescia, L.; Bia, P.; Caratelli, D.

Proceedings of the 2015 International Conference on Electromagnetics in Advanced Applications, ICEAA 2015. Piscataway : Institute of Electrical and Electronics Engineers, 2015. p. 460-463 7297154.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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N2 - 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.

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