Dynamical systems in nonlinear optics: Maxwell-Bloch models

Arnold, J.M. (2008) Dynamical systems in nonlinear optics: Maxwell-Bloch models. Optical and Quantum Electronics, 40(11-12), pp. 787-799. (doi: 10.1007/s11082-009-9289-y)

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

• Item Type: Articles
• Additional Information: From the issue entitled "Special Issue on Optical Waveguide Theory and Numerical Modelling / Guest Edited by Manfred Hammer, Hugo J.W.M. Hoekstra and Bastiaan P. de Hon"
• Keywords: Approximation, coherent nonlinear optics, complexes, engineering, equations, integrable systems, Maxwell-Bloch, model, propagation, pulse, self-induced transparency, solitons, system, systems
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Arnold, Professor John
• Authors: Arnold, J.M.
• College/School: College of Science and Engineering > School of Engineering > Electronics and Nanoscale Engineering
• Journal Name: Optical and Quantum Electronics
• Journal Abbr.: Opt. quantum electron.
• ISSN: 0306-8919