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Advanced Photonics with Second-Order Optically Nonlinear Processes pp 1–57Cite as

Introduction to the Propagation of CW Radiation and Solitons in Quadratically Nonlinear Media

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Part of the book series: NATO Science Series ((ASHT,volume 61))

Abstract

This chapter provides an introduction to the basic concepts of cw radiation and solitary wave propagation in quadratically nonlinear media. After some introductory comments on the modern motivation for this area of study, a very detailed discussion of polarisation in quadratic media is presented. Through this, an opportunity is taken to present full derivations, with due consideration being given to typical crystal symmetries involved and the accepted notation in the field. Nonlinear plane wave eigenstates are considered both for scalar and vector waves, with thorough discussions being given of how to generate equations that couple the behaviour of fundamental and the harmonic cw radiation. Balanced states are clearly explained and the vector case embraces a discussion of type I, type II and mixed type I-type II phase-matching. The chapter ends with a detailed discussion of scalar solitary waves, in which the cw equations are extended to include diffraction and a Lagrangian approach to stability of single-peak stationary solutions.

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Author information

Authors and Affiliations

  1. Photonics and Nonlinear Science Group, Joule Laboratory, Department of Physics, University of Salford, Salford, M5 4WT, UK

    A. D. Boardman, P. Bontemps & K. Xie

Authors
  1. A. D. Boardman
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  2. P. Bontemps
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  3. K. Xie
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Editor information

Editors and Affiliations

  1. Joule Laboratory, Department of Physics, University of Salford, Salford, UK

    A. D. Boardman

  2. Institute of Electronics, Bulgarian Academy of Sciences, Sofia, Bulgaria

    L. Pavlov

  3. Optiwave Corporation, Nepean, Ontario, Canada

    S. Tanev

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© 1999 Springer Science+Business Media Dordrecht

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Boardman, A.D., Bontemps, P., Xie, K. (1999). Introduction to the Propagation of CW Radiation and Solitons in Quadratically Nonlinear Media. In: Boardman, A.D., Pavlov, L., Tanev, S. (eds) Advanced Photonics with Second-Order Optically Nonlinear Processes. NATO Science Series, vol 61. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0850-1_1

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  • DOI: https://doi.org/10.1007/978-94-007-0850-1_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-5316-4

  • Online ISBN: 978-94-007-0850-1

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