NDLI: Spatial solitons in periodic semiconductor-dielectric nano-structures

Content Provider	IEEE Xplore Digital Library
Author	Gorbach, A.V. Skryabin, D.V.
Copyright Year	2009
Description	Author affiliation: Centre for Photonics and Photonic Materials, Department of Physics, University of Bath, BA2 7AY, UK (Gorbach, A.V.; Skryabin, D.V.)
Abstract	Spatial solitons in periodic semiconductor-dielectric structures have been the subject of intense research over the past decade [1]. Recent progress with fabrication of nano-structures for photonics applications has stimulated research into light trapping and guiding on the sub-wavelength scale. For such nano-scale periodic structures the concept of evanescently coupled waveguides, largely used for analysis of various nonlinear phenomena in conventional periodic structures [1], is invalidated. In this work we develop theory and analyze existence and stability of spatial solitons in one-dimensional semiconductor-dielectric nano-structures: thin semiconductor layers embedded into a dielectric with much lower index of refraction. The analysis is done within full vector nonlinear stationary Maxwell equations where k = 2π/λvac, c is speed of light in vacuum, ε0 is vacuum permittivity, λvac is the wavelength of light in vacuum, for electric and magnetic fields it is assumed, ε→,H→=1/2·E→,H→ exp (−ikct)+c.c., D→ is the displacement in SI units normalised to ε0. Material parameters ε = $n^{2}$ and χ3are functions of the transverse coordinate x, at each interface they are assumed to vary sharply but continuously, so that semiconductor layers are described by the array of super-gaussian functions. Light propagates along z direction. In the considered 1D geometry, for both TE and TM polarizations we need to solve Maxwell equations for the electric field only. Soliton solutions are sought in the stationary form: {Ex, Ez}={f(x),ig(x)}exp(ikqz) (TM), Ey = u(x)exp(ikqz) (TE), q is the relative change of the propagation constant with respect to its vacuum value. To characterize soliton solutions we use the power density Pz = ∫ 〈Sz〉dx dxdefined through z-component of the time-averaged Poynting vector. Stability analysis of soliton solutions is done by linearizing Maxwell equations (1) for small perturbations {e→,h→} = →α(x)exp(ikλz) and solving the resulting eigenvalue problem.
Starting Page	1
Ending Page	1
File Size	1231573
Page Count	1
File Format	PDF
ISBN	9781424440795
DOI	10.1109/CLEOE-EQEC.2009.5191490
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-06-14
Publisher Place	Germany
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Laser theory Optical propagation Solitons Glass Optical materials Ultrafast optics Optical films Slabs Gas insulated transmission lines Optical waveguides
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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