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Dynamical systems in nonlinear optics: Maxwell-Bloch models

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Abstract

The types of integrable Maxwell-Bloch models appropriate to a wide class of nonlinear coherent optical phenomena near resonance in a polarisable medium are presented and reviewed. With the attention on 1-dimensional unidirectional propagation, several classes of reduced Maxwell-Bloch models are identified, these models being good approximations in certain circumstances to the much more complex system of full Maxwell’s equations coupled to a quantum-mechanical model for the electrons in the dielectric medium.

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  1. Department of Electronics and Electrical Engineering, University of Glasgow, Glasgow, G12 8QQ, UK

    John M. Arnold

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  1. John M. Arnold
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Correspondence to John M. Arnold.

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Arnold, J.M. Dynamical systems in nonlinear optics: Maxwell-Bloch models. Opt Quant Electron 40, 787–799 (2008). https://doi.org/10.1007/s11082-009-9289-y

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  • DOI: https://doi.org/10.1007/s11082-009-9289-y

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