Abstract

A new and effective method for the electromagnetic analysis of generic bent dielectric waveguides is presented. The method is based on the expansion of the bend mode in modes of the straight waveguide and permits determination of the shape and the phase constant of the fundamental mode of the bend waveguide with great accuracy at a very low computational cost. Simple analytical expressions of the phase constant, coupling losses, and bending-induced birefringence are derived under very general conditions. The proposed method is useful for the design and optimization of each bent section of integrated optics components.

[IEEE ]

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  1. H. Deng, G. H. Jin, J. Harari, J. P. Vilcot and D. Decoster, "Investigation of 3D semivectorial finite-difference beam propagation method for bent waveguides", J. Lightwave Technol., vol. 16, pp. 915-922, May 1998.
  2. S. Kim and A. Gopinath, "Vector analysis of optical dielectric waveguide bends using finite-difference method", J. Lightwave Technol., vol. 14, pp. 2085-2092, Sept. 1996.
  3. W. Wang, R. Scotti and D. J. Muehlner, "Phase compensation of bent silica-glass optical channel waveguide devices by vector-wave mode-matching method", J. Lightwave Technol., vol. 15, pp. 538-545, Mar. 1997.
  4. W. W. Lui, C. L. Xu, T. Hirono, K. Yokoyama and W. P. Huang, "Full-vectorial propagation in semiconductor optical bending waveguides and equivalent straight waveguide approximations", J. Lightwave Technol., vol. 16, pp. 910-914, May 1998.
  5. C. L. Xu, W. P. Huang and S. K. Chaudhuri, "Efficient and accurate vector mode calculations by beam propagation method", J. Lightwave Technol., vol. 11, pp. 1209-1215, July 1993.
  6. S. J. Hewlett and F. Ladouceur, "Fourier decomposition method applied to mapped infinite domains: Scalar analysis of dielectric waveguides down to modal cutoff", J. Lightwave Technol., vol. 13, pp. 375-383, Mar. 1995.
  7. T. Kitoh, N. Takato, M. Yasu and M. Kawachi, "Bending loss reduction in silica-based waveguides by using lateral offsets", J. Lightwave Technol., vol. 13, pp. 555-562, Apr. 1995.

J. Lightwave Technol. (7)

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

S. Kim and A. Gopinath, "Vector analysis of optical dielectric waveguide bends using finite-difference method", J. Lightwave Technol., vol. 14, pp. 2085-2092, Sept. 1996.

W. Wang, R. Scotti and D. J. Muehlner, "Phase compensation of bent silica-glass optical channel waveguide devices by vector-wave mode-matching method", J. Lightwave Technol., vol. 15, pp. 538-545, Mar. 1997.

W. W. Lui, C. L. Xu, T. Hirono, K. Yokoyama and W. P. Huang, "Full-vectorial propagation in semiconductor optical bending waveguides and equivalent straight waveguide approximations", J. Lightwave Technol., vol. 16, pp. 910-914, May 1998.

C. L. Xu, W. P. Huang and S. K. Chaudhuri, "Efficient and accurate vector mode calculations by beam propagation method", J. Lightwave Technol., vol. 11, pp. 1209-1215, July 1993.

S. J. Hewlett and F. Ladouceur, "Fourier decomposition method applied to mapped infinite domains: Scalar analysis of dielectric waveguides down to modal cutoff", J. Lightwave Technol., vol. 13, pp. 375-383, Mar. 1995.

T. Kitoh, N. Takato, M. Yasu and M. Kawachi, "Bending loss reduction in silica-based waveguides by using lateral offsets", J. Lightwave Technol., vol. 13, pp. 555-562, Apr. 1995.

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