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Nonlinear Photonic Crystals pp 323–350Cite as

Discrete Solitons

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Part of the book series: Springer Series in Photonics ((PHOTONICS,volume 10))

Abstract

Optics deals with continuous objects. The optical electro-magnetic fields are continuous functions. Optical elements like mirrors and lenses can be presented as continuous operators. Discrete optical fields, which have values only at specific locations, are somewhat unnatural. Nevertheless, there are situations where optical systems can be represented as discrete fields. In particular, the interaction of several coupled modes is usually approximated by a discrete set of coupled mode equations. One such case is that of coupled one-dimensional waveguide array [1,2]. In a waveguide array, large number (infinite in principal) of one-dimensional single-mode waveguides (e.g. optical fibers) are laid one near the other such that their individual modes overlap. The transversal propagating field is now described by an infinite set of complex amplitudes of the individual modes.

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Authors
  1. H. Eisenberg
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  2. Y. Silberberg
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Editors and Affiliations

  1. Optical Physics Research Department, Lucent Technologies, 600 Mountain Avenue, 07974-0000, Murray Hill, NJ, USA

    Richard E. Slusher

  2. OFS, Laboratories & Specialty Photonics Division, 19 Schoolhouse Rd., 08873-0000, Somerset, NJ, USA

    Benjamin J. Eggleton

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© 2003 Springer-Verlag Berlin Heidelberg

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Eisenberg, H., Silberberg, Y. (2003). Discrete Solitons. In: Slusher, R.E., Eggleton, B.J. (eds) Nonlinear Photonic Crystals. Springer Series in Photonics, vol 10. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05144-3_15

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  • DOI: https://doi.org/10.1007/978-3-662-05144-3_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07867-5

  • Online ISBN: 978-3-662-05144-3

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