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Dispersion of nonlinearity in subwavelength waveguides: derivation of pulse propagation equation and frequency conversion effects


Reference:

Zhao, X., Gorbach, A. V. and Skryabin, D. V., 2013. Dispersion of nonlinearity in subwavelength waveguides: derivation of pulse propagation equation and frequency conversion effects. Journal of the Optical Society of America B-Optical Physics, 30 (4), pp. 812-820.

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    Official URL:

    http://dx.doi.org/10.1364/JOSAB.30.000812

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    Abstract

    Description of pulse propagation in waveguides with subwavelength features and high refractive index contrasts requires an accurate account of the dispersion of nonlinearity due to the considerable mode profile variation with the wavelength. The corresponding model derived from asymptotic expansion of Maxwell equations contains a complicated network of interactions between different harmonics of the pulse, and therefore is not convenient for analysis. We demonstrate that this model can be reduced to the generalized nonlinear Schrödinger-type pulse propagation equation under the assumption of factorization of the four-frequency dependence of nonlinear coefficients. We analyze two different semiconductor waveguide geometries and find that the factorization works reasonably well within large wavelength windows. This allows us to utilize the pulse propagation equation for the description of a broadband signal evolution. We study the mechanism of modulational instability induced by the dispersion of nonlinearity and find that the power threshold predicted by the simple model with three interacting harmonics is effectively removed when using pulses, while the efficiency of this process grows for shorter pulse durations. Also, we identify the effects of geometrical and material dispersion of nonlinearity on spectral broadening of short pulses in semiconductor waveguides.

    Details

    Item Type Articles
    CreatorsZhao, X., Gorbach, A. V. and Skryabin, D. V.
    DOI10.1364/JOSAB.30.000812
    Related URLs
    URLURL Type
    http://www.scopus.com/inward/record.url?scp=84877630859&partnerID=8YFLogxKUNSPECIFIED
    DepartmentsFaculty of Science > Physics
    Research CentresCentre for Photonics and Photonic Materials
    Publisher Statementjosab_30_4_812.pdf: This paper was published in Journal of the Optical Society of America B and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://dx.doi.org/10.1364/JOSAB.30.000812 . Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.
    RefereedYes
    StatusPublished
    ID Code34842

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