Abstract

An efficient mixed finite element (FE) beam propagation method (BPM) for three-dimensional (3-D) simulations is developed for integrated optic devices. Wide angle propagation is allowed by applying Pade approximants to the finite element operator. Mixed finite elements prevent spurious modes and accurately model waveguide corners allowing the adequate description of polarization effects. Furthermore, the finite element matrices are Hermitian leading to a unitary propagation scheme if lossless waveguides surrounded by metallic walls are assumed. In contrast to finite difference schemes energy conservation holds explicitly.

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  1. C. M. Kim and R. V. Ramaswamy, "Modeling of graved-index channel waveguides using nonuniform finite difference method," J. Lightwave Technol., vol. 7, pp. 1581-1589, Oct. 1989.
  2. W. Huang and S.-T. Chu, "The finite-difference vector beam propagation method: Analysis and assessment," J. Lightwave Technol., vol. 10, pp. 295-305, Mar. 1992.
  3. Y. Tsuji and M. Koshiba, "A finite element beam propagation method for strongly guiding and longitudinally varying optical waveguides," J. Lightwave Technol., vol. 14, pp. 217-222, Feb. 1996.
  4. M. Koshiba, S. Maruyama, and K. Hirayama, "A vector finite element method with the high-order mixed-interpolation-type triangular elements for optical waveguide problems," J. Lightwave Technol., vol. 12, pp. 595-502, 1994.
  5. P. C. and E. Voges, "Three-dimensional semivectorial wide-angle beam propagation method," J. Lightwave Technol., vol. 12, pp. 215-225, 1994.

J. Lightwave Technol. (5)

C. M. Kim and R. V. Ramaswamy, "Modeling of graved-index channel waveguides using nonuniform finite difference method," J. Lightwave Technol., vol. 7, pp. 1581-1589, Oct. 1989.

W. Huang and S.-T. Chu, "The finite-difference vector beam propagation method: Analysis and assessment," J. Lightwave Technol., vol. 10, pp. 295-305, Mar. 1992.

Y. Tsuji and M. Koshiba, "A finite element beam propagation method for strongly guiding and longitudinally varying optical waveguides," J. Lightwave Technol., vol. 14, pp. 217-222, Feb. 1996.

M. Koshiba, S. Maruyama, and K. Hirayama, "A vector finite element method with the high-order mixed-interpolation-type triangular elements for optical waveguide problems," J. Lightwave Technol., vol. 12, pp. 595-502, 1994.

P. C. and E. Voges, "Three-dimensional semivectorial wide-angle beam propagation method," J. Lightwave Technol., vol. 12, pp. 215-225, 1994.

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