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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2012-11-15
Vector Mode Analysis of Optical Waveguides by Quadratic Spline Collocation Method
By
Jianwei Mu,

    Dr. Jianwei Mu

    Department of Materials Science and Engineering

    Massachusetts Institute of Technology

    U.S.A

    Homepage

Haibo Liang,

    Dr. Haibo Liang

    Department of Electrical and Computer Engineering

    McMaster University

    Canada

    Homepage

Xun Li,

    Dr. Xun Li

    Department of Electrical and Computer Engineering

    McMaster University

    Canada

    Homepage

Bin Xu,

    Dr. Bin Xu

    Department of Electrical and Computer Engineering

    McMaster University

    Canada

    Homepage

Wei-Ping Huang

    Dr. Wei-Ping Huang

    Electrical and Computer Engineering

    McMaster University

    Canada

    Homepage

Progress In Electromagnetics Research M, Vol. 27, 97-107, 2012
doi:10.2528/PIERM12101216 | Google Scholar

Abstract
We present an accurate, efficient numerical analysis for vector modes of dielectric optical waveguide structures with an arbitrary refractive index profile using a quadratic spline collocation method (QSCM). The unknown weights of the polynomials are determined by forcing the errors at the collocation points to be zero. Consequently, the original second order differential equation is converted to a set of algebraic equations which can be solved by matrix techniques. The proposed QSCM method demonstrates better performance than the standard finite-difference method of the same convergence rate in terms of grid size with the same degree of computational complexity.
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Citation
Jianwei Mu, Haibo Liang, Xun Li, Bin Xu, and Wei-Ping Huang, "Vector Mode Analysis of Optical Waveguides by Quadratic Spline Collocation Method," Progress In Electromagnetics Research M, Vol. 27, 97-107, 2012.
doi:10.2528/PIERM12101216
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