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Modulational Instability in a Layered Kerr Medium: Theory and Experiment

Centurion, Martin and Porter, Mason A. and Pu, Ye and Kevrekidis, P. G. and Frantzeskakis, D. J. and Psaltis, Demetri (2006) Modulational Instability in a Layered Kerr Medium: Theory and Experiment. Physical Review Letters, 97 (23). Art. No. 234101. ISSN 0031-9007. https://resolver.caltech.edu/CaltechAUTHORS:CENprl06b

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Abstract

We present the first experimental investigation of modulational instability in a layered Kerr medium. The particularly interesting and appealing feature of our configuration, consisting of alternating glass-air layers, is the piecewise-constant nature of the material properties, which allows a theoretical linear stability analysis leading to a Kronig-Penney equation whose forbidden bands correspond to the modulationally unstable regimes. We find very good quantitative agreement between theoretical, numerical, and experimental diagnostics of the modulational instability. Because of the periodicity in the evolution variable arising from the layered medium, there are multiple instability regions rather than just one as in a uniform medium.


Item Type:Article
Additional Information:©2006 The American Physical Society (Received 29 July 2006; published 7 December 2006) We acknowledge support from the DARPA Center for Optofluidic Integration (D.P.), the Caltech Information Science and Technology initiative (M.C., M.A.P.), and NSF-DMS and CAREER (P.G.K.).
Issue or Number:23
Record Number:CaltechAUTHORS:CENprl06b
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:CENprl06b
Alternative URL:http://dx.doi.org/10.1103/PhysRevLett.97.234101
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6690
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:18 Dec 2006
Last Modified:02 Oct 2019 23:35

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