
Proceedings Paper
Pulse propagation in finite linear one-dimensional periodic structuresFormat | Member Price | Non-Member Price |
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Paper Abstract
The optical propagation of a pulse through one dimensional finite
gratings and photonic crystals is discussed. In the case of shallow
gratings the light transport properties are derived within the frame
of the Coupled Mode Theory, while the Transfer Matrix Method is used
for investigating photonic crystal (PC) structures. The so-called
superluminal tunneling of wave-packets through the band-gap region is investigated, and the dwell time is computed. Because of the
analyticity of the wave equation, the Einstein causality principle is
not violated, although the group velocity can exceed the speed of the
light in vacuum. We show that the dwell time is a propagation
phenomenon and not a quasi-static process in which the incident pulse
envelope modulates the amplitude of an exponentially decaying standing wave. Nevertheless, the group velocity cannot be always used to compute the transmission group delay, because the latter does not represent the time spent by the energy to propagate through the band-gap.
Paper Details
Date Published: 20 December 2004
PDF: 11 pages
Proc. SPIE 5577, Photonics North 2004: Optical Components and Devices, (20 December 2004); doi: 10.1117/12.567367
Published in SPIE Proceedings Vol. 5577:
Photonics North 2004: Optical Components and Devices
John C. Armitage; Simon Fafard; Roger A. Lessard; George A. Lampropoulos, Editor(s)
PDF: 11 pages
Proc. SPIE 5577, Photonics North 2004: Optical Components and Devices, (20 December 2004); doi: 10.1117/12.567367
Show Author Affiliations
Michael Cada, Dalhousie Univ. (Canada)
Published in SPIE Proceedings Vol. 5577:
Photonics North 2004: Optical Components and Devices
John C. Armitage; Simon Fafard; Roger A. Lessard; George A. Lampropoulos, Editor(s)
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