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Dispersion relations for negative index materials and slow light
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Paper Abstract

In this work we theoretically model continuous and pulse wave propagation using the underlying dispersion relations. We also derive the dispersion relations of the underlying wave equations based on the real and imaginary parts of the propagation constant which are related through Hilbert transformation to ensure causality. Also, in this paper we show that by using a model of photorefractive two wave coupling, we can derive the dispersion relation for pulsed propagation and coupling in a diffusion dominated photorefractive material. We note that the dispersion relation we have found in photorefractive material also obeys the Hilbert transform property. Finally, we show that the group velocity of light can be slowed down by means of phase coupling in the photorefractive two-wave mixing process.

Paper Details

Date Published: 17 September 2007
PDF: 8 pages
Proc. SPIE 6698, Photonic Fiber and Crystal Devices: Advances in Materials and Innovations in Device Applications, 66980M (17 September 2007); doi: 10.1117/12.738757
Show Author Affiliations
Partha P. Banerjee, Univ. of Dayton (United States)
Georges Nehmetallah, Univ. of Dayton (United States)
Rola Aylo, Univ. of Dayton (United States)
Prathan Buranasiri, King Mongkut's Institute of Technology Ladkrabang (Thailand)

Published in SPIE Proceedings Vol. 6698:
Photonic Fiber and Crystal Devices: Advances in Materials and Innovations in Device Applications
Ruyan Guo; Shizhuo S. Yin; Francis T.S. Yu, Editor(s)

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