Abstract

A plane-wave boundary method is proposed for the analysis of bent optical waveguides. The realization of the method is based on the equivalent straight waveguide approach and consists of two steps. At first, the plane-wave boundary condition is introduced at the computational boundary where the outgoing wave is expected. Then, the optimum location of the computational boundary is determined, corresponding to the maximum of radiation power loss. The optimized computational window helps to significantly reduce the influence of the nonphysical reflections of the outgoing wave caused by the particular index profile of bent waveguide structures in the straight waveguide approach. Using this method,the propagation constants and radiation losses are determined for waveguides with different bend radii. In contrast to methods based on the absorption concept, the proposed method does not require the introduction of additional parameters.

© 2003 IEEE

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J. Lightwave Technol. (4)

M. Rivera, "A finite difference BPM analysis of bent dielectric waveguide", J. Lightwave Technol., vol. 13, pp. 233-238, Feb. 1995 .

T. Yamamoto and M. Koshiba, "Numerical analysis of curvature loss in optical waveguides by finite-element method", J. Lightwave Technol., vol. 11, pp. 1579-1583, Oct. 1993.

W. Berglung and A. Gopinath, "WKB analysis of bend losses in optical waveguides", J. Lightwave Technol., vol. 18, pp. 1161-1166, Aug. 2000.

H. Deng, G. H. Jin, J. Harari, J. P. Vilcot and D. Decoster, "Investigation of 3-D semivectorial finite-difference beam propagation method for bent waveguides", J. Lightwave Technol., vol. 16, pp. 915-922, May 1998.

Other (6)

D. Katz, E. T. Thiele and A. Taflove, "Validation and extension to three dimensions of the berenger PML absorbing boundary condition for FD-TD meshes", IEEE Microwave Guided Wave Lett., vol. 4, pp. 268-270, Aug. 1994.

W. W. Lui, K. Magari, N. Yoshimoto, S. Oku, T. Girono, K. Yokoyama and W.-P. Huang, "Modeling and design of bending waveguide based semiconductor polarization rotators", IEEE Photon. Technol. Lett., vol. 9, pp. 1379-1381, Oct. 1997 .

G. R. Hadley, "Transparent boundary condition for the beam propagation method", IEEE J. Quantum Electron. , vol. 28, pp. 363-370, Jan. 1992.

W.-P. Huang, C.-L. Xu, W. W. Lui and K. Yokoyama, "The perfectly matched layer boundary condition for modal analysis of optical waveguides: Leaky mode calculations", IEEE Photon. Technol. Lett., vol. 8, pp. 652-654, May 1996.

R. B. Lehoucq, D. C. Sorensen and C. Yang, ARPACK Users' Guide: Solution of Large-Scale Eigenvalue Problems With Implicitly Restarted Arnoldi Methods, Philadelphia, PA: SIAM, 1998.

W. W. Lui, C.-L. Xu, T. Hirono, K. Yokoyama and W.-P. Huang, "Full-vectorial wave propagation in semiconductor optical bending waveguides and equivalent straight waveguide approximation", J. Lightwave Technol. , vol. 16, pp. 910-912, May 1998.

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