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Linear Dispersion Assisted Amplification, Multimode Instability, and Chaos in Counterpropagating Waves in Nonlinear Fibers

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Abstract

Waves with the same frequency counterpropagating in a Kerr-nonlinear fiber (the so-called degenerated four-wave mixing) for the spatially stable eigenarrangement [1] can exhibit temporal instability if the nonlinearity has a finite relaxation time [2]. Here we demonstrate that another fundamental physical parameter, linear dispersion, in combination with third-order nonlinearity can result in temporal instability.

© 1989 Optical Society of America

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