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Solitons in Cavities with Quadratic Nonlinearities

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Optical Solitons: Theoretical Challenges and Industrial Perspectives

Part of the book series: Centre de Physique des Houches ((LHWINTER,volume 12))

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Abstract

Since the early days of laser studies and nonlinear optics, it was realized that the parabolic potential with a negative curvature created by diffraction could be compensated by self-action. In other words the electrical field could dig a potential with positive curvature the depth of which proportional to the electric field intensity self-trappring a portion of the laser field and thus creating a wave which propagates in a recurring fashion: a soliton.[1] However it was quickly realized that such an elegant idea would not work for laser beams with two spatial transverse dimensions and a purely Kerr third order nonlinearity.[2]

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Authors and Affiliations

  1. Department of Physics, Washington State University, Pullman, WA, 99164-2814, USA

    W. E. Torruellas & P. S. Jian

  2. Dipartimento di Ingegneria, Universitá di Ferrara, via Saragat 1, 44100, Ferrara, Italy

    S. Trillo

  3. Service d’Optique et d’Acoustique, Université Libre de Bruxelles, 50 avenue F.D. Roosevelt, CP. 194/5, 1050, Bruxelles, Belgique

    M. Haelterman

  4. Friedrich-Schiller-Universität Jena, Institute for Solid-State Theory and Theoretical Optics, Max-Wien-Platz 1, 07743, Jena, Germany

    U. Peschel & F. Lederer

Authors
  1. W. E. Torruellas
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  2. P. S. Jian
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  3. S. Trillo
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  4. M. Haelterman
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  5. U. Peschel
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  6. F. Lederer
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Editors and Affiliations

  1. L.D. Landau Institute for Theoretical Physics, 2 Kosygin Str., 117334, Moscow, Russia

    V. E. Zakharov

  2. Laboratoire de Physique, University of Bourgogne, 9 avenue A. Savary, 21078, Dijon, France

    S. Wabnitz

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Torruellas, W.E., Jian, P.S., Trillo, S., Haelterman, M., Peschel, U., Lederer, F. (1999). Solitons in Cavities with Quadratic Nonlinearities. In: Zakharov, V.E., Wabnitz, S. (eds) Optical Solitons: Theoretical Challenges and Industrial Perspectives. Centre de Physique des Houches, vol 12. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03807-9_21

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