A full-vectorial mode solver for bending waveguides by a modified finite difference method based on E-fields in cylindrical coordinate systems

Jinbiao Xiao; Xiaohan Sun

doi:10.1117/12.858547

17 May 2010 A full-vectorial mode solver for bending waveguides by a modified finite difference method based on E-fields in cylindrical coordinate systems

Jinbiao Xiao, Xiaohan Sun

Author Affiliations +

Proceedings Volume 7719, Silicon Photonics and Photonic Integrated Circuits II; 771922 (2010) https://doi.org/10.1117/12.858547
Event: SPIE Photonics Europe, 2010, Brussels, Belgium

Abstract

A full-vector mode solver for optical dielectric waveguide bends by using an improved finite difference method in terms of transverse-electric field components is developed in a local cylindrical coordinate system. A six-point finite difference scheme is constructed to approximate the cross-coupling terms for improving the convergent behavior, and the perfectly matched layer absorbing boundary conditions via the complex coordinate stretching technique are used for effectively demonstrating the leaky nature of the waveguide bends. The fundamental leaky modes for a typical bending rib waveguide are computed, which shows the validity and utility of the established method.

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Jinbiao Xiao and Xiaohan Sun "A full-vectorial mode solver for bending waveguides by a modified finite difference method based on E-fields in cylindrical coordinate systems", Proc. SPIE 7719, Silicon Photonics and Photonic Integrated Circuits II, 771922 (17 May 2010); https://doi.org/10.1117/12.858547

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