NDLI: Brillouin precursor decay in dispersive attenuative materials

Content Provider	IEEE Xplore Digital Library
Author	Oughstun, K.E. Cartwright, N.A.
Copyright Year	2009
Description	Author affiliation: Department of Mathematics, SUNY New Paltz, New Paltz, NY, 12561, USA (Cartwright, N.A.)
Abstract	The modern asymptotic theory [1, 2, 3, 4] of dispersive pulse propagation [5, 6, 7] has established the fundamental fact that the peak amplitude point of the Brillouin precursor only decays algebraically as $z^{−1/2}$ with propagation distance z ≫ 0 in any causally dispersive dielectric. This asymptotic theory of ultrawideband electromagnetic pulse evolution as z → ∞ shows that for both Debye- and Lorentz-type dielectrics [3], the near saddle point that describes the Brillouin precursor evolution crosses the origin w = 0 of the complex w-plane at the space-time point ct/z = n(0). Here n(w) = nr(w) + ini(w) denotes the complex index of refraction of the material, where n(w) ≡ $[μεc(w)]^{1/2},$ with μ denoting the (constant) relative magnetic permeability and equation denoting the relative complex permittivity. Because the medium attenuation α(w) ≡ (w)/c)ni(w) vanishes at the origin when σ = 0 (i.e. for a dielectric), this zero point crossing then results in a peak amplitude of the Brillouin precursor that experiences zero exponential decay for all z ≫ 0. However, for a semiconducting medium with σ ≠ 0, the conductivity introduces a simple pole singularity at the origin which prevents the near saddle point from crossing the origin, thereby partially destroying this unique feature in the dynamical field evolution. The question then remains as to what value of the static conductivity σ0 ≡ σ(0) can be tolerated such that the Brillouin precursor decay is approximately nonexponential over some finite propagation distance interval.
Starting Page	1
Ending Page	4
File Size	1250608
Page Count	4
File Format	PDF
ISBN	9781424436477
ISSN	15223965
DOI	10.1109/APS.2009.5172373
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-06-01
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Dispersion Dielectrics Conductivity Permittivity Frequency Electromagnetic propagation Magnetic materials Attenuation Poles and zeros Pulse modulation
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Brillouin precursors propagation through sea water at GHz frequency

Migration of dispersive GPR data

Brillouin precursors propagation through sea water at GHz frequency

Dynamical evolution of the Brillouin precursor in Rocard-Powles-Debye model dielectrics

Dynamical evolution of the Brillouin precursor in Rocard-Powles-Debye model dielectrics (2005)

Brillouin precursor propagation through water with static conductivity

Experimental detection of Brillouin precursor through planar metallic slab in microwave frequencies

Experimental analysis of Brillouin precursor formation in salt water

Estimation of permittivity and conductivity in dispersive and attenuating media using multifrequency technique

Brillouin precursor decay in dispersive attenuative materials

Similar Documents

Brillouin precursors propagation through sea water at GHz frequency

Migration of dispersive GPR data

Brillouin precursors propagation through sea water at GHz frequency

Dynamical evolution of the Brillouin precursor in Rocard-Powles-Debye model dielectrics

Dynamical evolution of the Brillouin precursor in Rocard-Powles-Debye model dielectrics (2005)

Brillouin precursor propagation through water with static conductivity

Experimental detection of Brillouin precursor through planar metallic slab in microwave frequencies

Experimental analysis of Brillouin precursor formation in salt water

Estimation of permittivity and conductivity in dispersive and attenuating media using multifrequency technique

Brillouin precursor decay in dispersive attenuative materials