Fourth-order Variational Mode Solving for Anisotropic Planar Structures


Uranus, H.P. and Hoekstra, H.J.W.M. and Groesen, E. van (2003) Fourth-order Variational Mode Solving for Anisotropic Planar Structures. Journal of Nonlinear Optical Physics & Materials, 12 (2). pp. 247-261. ISSN 0218-8635

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Abstract:A variational method that gives 4th-order accuracy by only using linear basis functions within the computational domain is proposed for the mode solving of anisotropic planar stratified waveguides with diagonal permitivity tensor. A non-uniform mesh is used to get rid of the necessity of incorporating interface corrections and higher-order basis functions, while Richardson-like extrapolation is used to obtain 4th-order accuracy. The scheme was derived for both TE and TM mode analysis and completed with infinite elements as transparent boundary conditions. The use of a simple extrapolation technique to further refine the results by using two consecutive calculated results is also demonstrated.
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Copyright:© 2002 World Scientific Publishing Company
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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