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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2011-03-24
Derivation of the Effective Nonlinear SchrÖDinger Equations for Dark and Power Law Spatial Plasmon-Polariton Solitons Using Nano Self-Focusing
By
Sihon H. Crutcher,

    Dr. Sihon H. Crutcher

    US Army Research, Development, and Engineering Command

    USA

    Homepage

Abert Osei

    Dr. Abert Osei

    Department of Math & Computer Sciences

    Oakwood University

    USA

    Homepage

Progress In Electromagnetics Research B, Vol. 29, 83-103, 2011
doi:10.2528/PIERB11020306 | Google Scholar

Abstract
An effective Nonlinear Schrödinger Equation for propagation is derived for optical dark and power law spatial solitons at the subwavelength with a surface plasmonic interaction. Starting with Maxwell's Nonlinear Equations a model is proposed for TM polarized type spatial solitons on a metal dielectric interface. Two separate systems are considered in which one metal dielectric interface has a dielectric Kerr medium that has self-defocusing and another similar interface which the dielectric Kerr medium that has self-focusing depending on the modulus of the electric field to some power law variable p. The beam dynamics are analytically studied for these nanowaveguides.
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Citation
Sihon H. Crutcher, and Abert Osei, "Derivation of the Effective Nonlinear SchrÖDinger Equations for Dark and Power Law Spatial Plasmon-Polariton Solitons Using Nano Self-Focusing," Progress In Electromagnetics Research B, Vol. 29, 83-103, 2011.
doi:10.2528/PIERB11020306
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