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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 17, Iss. 10 — Oct. 1, 2000
  • pp: 1711–1715

Thin-layer theory of nonlinear fields

T. A. Laine and A. T. Friberg  »View Author Affiliations

JOSA B, Vol. 17, Issue 10, pp. 1711-1715 (2000)

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We derive a local nonlinear thin-layer theory for electromagnetic fields that propagate in layered structures of isotropic, dispersive, and spatially local Kerr media. By use of an ansatz of plane waves together with a thin-layer approximation, the two-dimensional Kerr–Maxwell equation is rigorously solved within a very thin slab, and the characteristic matrix of the nonlinear medium is determined. The theory makes use of periodicity and allows a direct calculation of the nonlinear field throughout the structure on the basis of the transmitted field. The method is applied in the two polarizations, TE and TM, and is illustrated with a numerical example. The nonlinear thin-layer technique provides a simple and accurate analytical theory that includes multiple plane-wave incident fields and takes rigorously into account all nonlinear interactions of these waves.

© 2000 Optical Society of America

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(190.3270) Nonlinear optics : Kerr effect
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(230.4170) Optical devices : Multilayers
(230.7370) Optical devices : Waveguides
(310.0310) Thin films : Thin films

T. A. Laine and A. T. Friberg, "Thin-layer theory of nonlinear fields," J. Opt. Soc. Am. B 17, 1711-1715 (2000)

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