Analysis of Nonlinear Multilayered Waveguides and MQW Structures: A Field Evolution Approach Using Finite-Difference Formulation

In this paper, we present a method of analyzing nonlinear multilayered-planar waveguides and multiple-quantum-well structures. The method is based on scalar and semi-vectorial solutions of Helmholtz's equation devised with a mode-field convergence technique in a finite-difference grid. The appr...

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Bibliographic Details
Published in:IEEE journal of quantum electronics 2009-04, Vol.45 (4), p.345-350
Main Authors: Roy, S., Chaudhuri, P.R.
Format: Article
Language:English
Subjects:
Algorithm design and analysis
Convergence
Dispersion relation
Dispersions
Evolution
Exact sciences and technology
finite difference
Finite difference method
Finite difference methods
Fundamental areas of phenomenology (including applications)
guided mode analysis
Mathematical analysis
Mathematical models
multiple quantum well (MQW)
Nonlinear equations
nonlinear multilayered structures
Nonlinear optics
Nonlinearity
Optical elements, devices, and systems
Optical waveguides
Optical waveguides and coupleurs
Optics
Phase conjugation, optical mixing
photorefractive and kerr effects
Physics
Polarization
Quantum well devices
Refractive index
Signal processing algorithms
Tellurium
Waveguide components
Waveguides
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Summary:In this paper, we present a method of analyzing nonlinear multilayered-planar waveguides and multiple-quantum-well structures. The method is based on scalar and semi-vectorial solutions of Helmholtz's equation devised with a mode-field convergence technique in a finite-difference grid. The approach is general, simple to formulate, and applicable to any arbitrary structures with Kerr-like/non-Kerr-like nonlinearities for determining guided mode characteristics of both TE and TM polarizations and the dispersion relations. We analyze a number of known waveguide structures reported in the literature to test the accuracy and establish the efficacy of the algorithm as a useful analysis recipe for modeling and understanding the modal properties of such nonlinear multilayered waveguides.
ISSN:0018-9197
1558-1713
DOI:10.1109/JQE.2009.2013084