Variational and finite element analyses of nonlinear strip optical waveguides

A new, iterative finite element scheme for solving nonlinear wave guiding problems is proposed. Unlike previous numerical methods, this approach gives both the stable and unstable stationary solutions of a nonlinear strip waveguide. We use a double gaussian trial function to solve the same problem b...

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Bibliographic Details
Published inOptics communications Vol. 94; no. 1; pp. 37 - 43
Main Authors Li, Q.Y., Sammut, R.A., Pask, C.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.11.1992
Elsevier Science
Subjects
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Optical elements, devices, and systems
Optics
Physics
Finite element method
Strip material
Waveguide
Switching
Standing wave
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Summary:A new, iterative finite element scheme for solving nonlinear wave guiding problems is proposed. Unlike previous numerical methods, this approach gives both the stable and unstable stationary solutions of a nonlinear strip waveguide. We use a double gaussian trial function to solve the same problem by variational principles. This approximation gives very good results and provides a simple model to characterize nonlinear stationary waves. The influence of waveguide parameter on nonlinear behaviour is discussed. We also apply both the variational and finite methods to analyze the stripe surface waves at a linear-nonlinear interface.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0030-4018
1873-0310
DOI:10.1016/0030-4018(92)90402-D