Generalized coupled-mode theory for χ⁽²⁾ interactions in finite multilayered structures
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Giuseppe D’Aguanno, Marco Centini, Michael Scalora, Concita Sibilia, Mario Bertolotti, Mark J. Bloemer, and Charles M. Bowden, "Generalized coupled-mode theory for χ(2) interactions in finite multilayered structures," Journal of the Optical Society of America B Vol. 19, Issue 9, pp. 2111-2121 (2002) ,https://doi.org/10.1364/JOSAB.19.002111
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This work was written as part of one of the author's official duties as an Employee of the United States Government and is therefore a work of the United States Government. In accordance with 17 U.S.C. 105, no copyright protection is available for such works under U.S. Law.
Public Domain Mark 1.0
This work was written as part of one of the author's official duties as an Employee of the United States Government and is therefore a work of the United States Government. In accordance with 17 U.S.C. 105, no copyright protection is available for such works under U.S. Law.
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Abstract
Using a first-order multiple-scale expansion approach, we derive a set of coupled-mode equations that describe both forward and backward second-harmonic generation and amplification processes in nonlinear, one-dimensional, multilayered structures of finite length. The theory is valid for index modulation of arbitrary depth and profile. We derive analytical solutions in the undepleted pump regime under different pumping circumstances. The model shows excellent agreement with the numerical integration of Maxwell’s equations.