Superluminal Group Velocities in Passive Media

Hiroyuki HOSONO; Toshio HOSONO

Superluminal Group Velocities in Passive Media

Hiroyuki HOSONO, Toshio HOSONO

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Superluminal group velocity in dispersive media has long been controversial. A partial source of confusion seems to be the absence of high precision numerical results concerning the waveform of the transmitted signal. This paper gives the precise waveforms of a causal half-sine-modulated pulse and a triangle-modulated pulse propagating in the Lorentz medium. Thus, the effects of analyticity of signal are clarified, which the analysis using Gaussian pulse cannot. Further, to deepen understanding of the mechanism of superluminal group velocity, we give a network theoretic consideration.

Publication: IEICE TRANSACTIONS on Electronics Vol.E87-C No.9 pp.1578-1585

Publication Date: 2004/09/01

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Type of Manuscript: Special Section PAPER (Special Section on Wave Technologies for Wireless and Optical Communications)

Category: Basic Electromagnetic Analysis

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Hiroyuki HOSONO, Toshio HOSONO, "Superluminal Group Velocities in Passive Media" in IEICE TRANSACTIONS on Electronics, vol. E87-C, no. 9, pp. 1578-1585, September 2004, doi: .
Abstract: Superluminal group velocity in dispersive media has long been controversial. A partial source of confusion seems to be the absence of high precision numerical results concerning the waveform of the transmitted signal. This paper gives the precise waveforms of a causal half-sine-modulated pulse and a triangle-modulated pulse propagating in the Lorentz medium. Thus, the effects of analyticity of signal are clarified, which the analysis using Gaussian pulse cannot. Further, to deepen understanding of the mechanism of superluminal group velocity, we give a network theoretic consideration.
URL: https://globals.ieice.org/en_transactions/electronics/10.1587/e87-c_9_1578/_p

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@ARTICLE{e87-c_9_1578,
author={Hiroyuki HOSONO, Toshio HOSONO, },
journal={IEICE TRANSACTIONS on Electronics},
title={Superluminal Group Velocities in Passive Media},
year={2004},
volume={E87-C},
number={9},
pages={1578-1585},
abstract={Superluminal group velocity in dispersive media has long been controversial. A partial source of confusion seems to be the absence of high precision numerical results concerning the waveform of the transmitted signal. This paper gives the precise waveforms of a causal half-sine-modulated pulse and a triangle-modulated pulse propagating in the Lorentz medium. Thus, the effects of analyticity of signal are clarified, which the analysis using Gaussian pulse cannot. Further, to deepen understanding of the mechanism of superluminal group velocity, we give a network theoretic consideration.},
keywords={},
doi={},
ISSN={},
month={September},}

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TY - JOUR
TI - Superluminal Group Velocities in Passive Media
T2 - IEICE TRANSACTIONS on Electronics
SP - 1578
EP - 1585
AU - Hiroyuki HOSONO
AU - Toshio HOSONO
PY - 2004
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E87-C
IS - 9
JA - IEICE TRANSACTIONS on Electronics
Y1 - September 2004
AB - Superluminal group velocity in dispersive media has long been controversial. A partial source of confusion seems to be the absence of high precision numerical results concerning the waveform of the transmitted signal. This paper gives the precise waveforms of a causal half-sine-modulated pulse and a triangle-modulated pulse propagating in the Lorentz medium. Thus, the effects of analyticity of signal are clarified, which the analysis using Gaussian pulse cannot. Further, to deepen understanding of the mechanism of superluminal group velocity, we give a network theoretic consideration.
ER -