Abstract

We present a simple noniterative scheme for calculation of reflectivity for optical waveguide facet. By multiplying an operator to the standard reflection formula, we reduce the original matrix inversion involving the implicit square-root operators to an explicit solution. The new formula is extremely simple and easy to implement, especially for the TE case, where an analytical expression is obtained without involving any matrix inversion. The accuracy and efficiency of the new solution scheme are assessed and verified by numerical experiments.

© 2004 IEEE

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  1. T. Ikegami, "Reflectivity of mode at facet and oscillation mode in double-heterostructure injection laser", IEEE J. Quantum Electron. , vol. 8, pp. 470-476, 1972.
  2. P. C. Kendall, D. A. Roberts, P. N. Robson, M. J. Adams and M. J. Robertson, "Semiconductor laser facet reflectivities using free-space radiation modes", IEE Proc.-J, vol. 140, pp. 49-55, Feb. 1993.
  3. C. Yu and D. Yevick, "Application of bi-directional parabolic equation method to optical waveguide facets", J. Opt. Soc. Amer. A, vol. 14, pp. 1448-1450, July 1997.
  4. Y.-P. Chiou and H.-C. Chang, "Analysis of optical waveguide discontinuities using the Pade approximants", IEEE Photon. Technol. Lett., vol. 9, pp. 964-966, July 1997.
  5. H. El-Refaei, I. Betty and D. Yevick, "The application of complex Pade approximants to reflection at optical waveguide facets", IEEE Photon. Technol. Lett., vol. 12, pp. 158-160, Feb. 2000.
  6. S. H. Wei and Y. Y. Lu, "Application of Bi-CGSTAB to waveguide discontinuity problems", IEEE Photon. Technol. Lett., vol. 14, pp. 645 -647, May 2002.
  7. W. P. Huang, S. T. Chu and S. K. Chaudhuri, "A semivectorial finite-difference time domain approach for guided-wave optics", IEEE Photon. Technol. Lett., vol. 3, pp. 803-806, 1991.
  8. N.-N. Feng, G.-R. Zhou and W.-P. Huang, "Space mapping technique for design optimization of antireflection coatings in photonic devices", J. Lightwave Technol. , vol. 21, pp. 281-285, Jan. 2003.
  9. N.-N. Feng, C. Xu, W.-P. Huang and D.-G. Fang, "A new pre-conditioner based on paraxial approximation for stable and efficient reflective beam propagation method", J. Lightwave Technol., vol. 21, pp. 1996-2001, Sept. 2003.

J. Lightwave Technol.

Other

T. Ikegami, "Reflectivity of mode at facet and oscillation mode in double-heterostructure injection laser", IEEE J. Quantum Electron. , vol. 8, pp. 470-476, 1972.

P. C. Kendall, D. A. Roberts, P. N. Robson, M. J. Adams and M. J. Robertson, "Semiconductor laser facet reflectivities using free-space radiation modes", IEE Proc.-J, vol. 140, pp. 49-55, Feb. 1993.

C. Yu and D. Yevick, "Application of bi-directional parabolic equation method to optical waveguide facets", J. Opt. Soc. Amer. A, vol. 14, pp. 1448-1450, July 1997.

Y.-P. Chiou and H.-C. Chang, "Analysis of optical waveguide discontinuities using the Pade approximants", IEEE Photon. Technol. Lett., vol. 9, pp. 964-966, July 1997.

H. El-Refaei, I. Betty and D. Yevick, "The application of complex Pade approximants to reflection at optical waveguide facets", IEEE Photon. Technol. Lett., vol. 12, pp. 158-160, Feb. 2000.

S. H. Wei and Y. Y. Lu, "Application of Bi-CGSTAB to waveguide discontinuity problems", IEEE Photon. Technol. Lett., vol. 14, pp. 645 -647, May 2002.

W. P. Huang, S. T. Chu and S. K. Chaudhuri, "A semivectorial finite-difference time domain approach for guided-wave optics", IEEE Photon. Technol. Lett., vol. 3, pp. 803-806, 1991.

N.-N. Feng, G.-R. Zhou and W.-P. Huang, "Space mapping technique for design optimization of antireflection coatings in photonic devices", J. Lightwave Technol. , vol. 21, pp. 281-285, Jan. 2003.

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