Abstract
A theory for the nonlinear interaction of electromagnetic waves in a semibounded periodic dielectric structure is developed using the example of second-harmonic generation. One of the layers forming a period is assumed to have nonlinear polarization. The theory is an improved perturbation theory based on the Green theorem. The phase-matching conditions for interacting waves are shown to correspond to dimensional resonances for individual layers or for the structure period. The interaction efficiency is maximum at passband edges for the case of resonance for the entire period. For this resonance, the phase-matching conditions are met for a frequency spectrum rather than for a single frequency. This feature makes it possible to convert spectra from one frequency range to another.
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Translated from Fizika Tverdogo Tela, Vol. 47, No. 9, 2005, pp. 1586–1595.
Original Russian Text Copyright © 2005 by Bulgakov.
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Bulgakov, A.A. Dimensional resonances and second-harmonic generation in a semibounded nonlinear layered periodic medium. Phys. Solid State 47, 1645–1654 (2005). https://doi.org/10.1134/1.2045347
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DOI: https://doi.org/10.1134/1.2045347