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Nonlinear Guided Waves

  • Conference paper
Electromagnetic Surface Excitations

Part of the book series: Springer Series on Wave Phenomena ((SSWAV,volume 3))

Abstract

Since its inception in the 1960s, nonlinear optics has led to a rich variety of wave-mixing interactions that have applications to basic materials research [1–2], to the generation of new frequencies [1], and most recently to all-optical signal processing [3]. In general, nonlinear optical interactions occur whenever the optical fields associated with one or more laser beams propagating in a material are large enough to produce polarization fields proportional to the product of two or more of the incident fields. These nonlinear polarization fields radiate electric fields at the nonlinear frequency. For some interactions, the generated fields grow linearly with propagation distance under optimum conditions of phase-matching. Typically, the efficiency of any nonlinear optical interaction depends on (1) the product of the power densities of the input and output waves, raised to some power, and (2) the interaction distance raised to some power greater than or equal to unity. Since power density is power per unit area, the efficiency of any nonlinear interaction can be enhanced by reducing the cross-sectional area of the interacting beams. For plane waves this can be achieved by focusing with a lens. There is a tradeoff, of course, because the high power density can be maintained only over the depth of focus of the lens, which limits the effective interaction length.

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Author information

Authors and Affiliations

  1. Optical Sciences Center and Arizona Research Laboratories, University of Arizona, Tucson, AZ, 85721, USA

    G. I. Stegeman & C. T. Seaton

  2. Optical Sciences Center and Department of Chemistry, University of Arizona, Tucson, AZ, 85721, USA

    W. M. Hetherington III

  3. Department of Physics, University of Salford, Salford, M5 4WT, UK

    A. D. Boardman & P. Egan

Authors
  1. G. I. Stegeman
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  2. C. T. Seaton
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  3. W. M. Hetherington III
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  4. A. D. Boardman
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  5. P. Egan
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Editor information

Editors and Affiliations

  1. Department of Physics, University of California, Irvine, CA, 92717, USA

    Richard F. Wallis

  2. Optical Sciences Center, University of Arizona, Tucson, AZ, 85721, USA

    George I. Stegeman

  3. 981 East Lawn Drive, Teaneck, NJ, 07666, USA

    Theodor Tamir Ph. D.

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© 1986 Springer-Verlag Berlin Heidelberg

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Stegeman, G.I., Seaton, C.T., Hetherington, W.M., Boardman, A.D., Egan, P. (1986). Nonlinear Guided Waves. In: Wallis, R.F., Stegeman, G.I., Tamir, T. (eds) Electromagnetic Surface Excitations. Springer Series on Wave Phenomena, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82715-0_25

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  • DOI: https://doi.org/10.1007/978-3-642-82715-0_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82717-4

  • Online ISBN: 978-3-642-82715-0

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