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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 45, Iss. 29 — Oct. 10, 2006
  • pp: 7567–7578

Ray optics model for triangular hollow silicon waveguides

George Isaac and Diaa Khalil  »View Author Affiliations

Applied Optics, Vol. 45, Issue 29, pp. 7567-7578 (2006)

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Closed silicon V grooves are proposed as new hollow waveguides suitable for optical microelectromechanical systems applications. These easily fabricated guides with large index contrast could be designed to work with very low loss for the fundamental mode. A ray optics model is developed for the loss analysis of such guides. The model is tested using the beam propagation method. The model allows one to obtain approximate design equations for the fundamental mode losses in equilateral triangles as well as the practical waveguide and thus greatly simplifies the design effort.

© 2006 Optical Society of America

OCIS Codes
(080.0080) Geometric optics : Geometric optics
(080.2740) Geometric optics : Geometric optical design
(230.0230) Optical devices : Optical devices
(230.7370) Optical devices : Waveguides

Original Manuscript: February 23, 2006
Manuscript Accepted: May 3, 2006

George Isaac and Diaa Khalil, "Ray optics model for triangular hollow silicon waveguides," Appl. Opt. 45, 7567-7578 (2006)

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  1. H. Schmidt, D. Yin, J. P. Barber, and A. Hawkins, "Hollow-core waveguides and 2-D waveguide arrays for integrated optics of gases and liquids," IEEE J. Sel. Top. Quantum Electron. 11, 519-527 (2005). [CrossRef]
  2. R. Bernini, S. Campopiano, and L. Zeni, "Silicon micromachined hollow optical waveguides for sensing applications," IEEE J. Sel. Top. Quantum Electron. 8, 106-110 (2002). [CrossRef]
  3. K. Madkour, H. Maaty, and D. Khalil, "Silicon hollow waveguide for MEMS applications," in Proceedings of the European Conference on Optical Communication-International Conference on Integrated Optics and Optical Fibre Communication (ECOC-IOOC) (2003). [PubMed]
  4. J. N. Mcmullin, R. Narendra, and C. R. James, "Hollow metallic waveguides in silicon V grooves," IEEE Photon. Technol. Lett. 5, 1080-1082 (1993). [CrossRef]
  5. D. Marcuse, Theory of Dielectric Optical Waveguides, 2nd ed. (Academic, 1991).
  6. M. J. Adams, An Introduction to Optical Waveguides (Wiley, 1981).
  7. K. D. Laakmann and W. Steier, "Waveguides: characteristic modes of hollow rectangular dielectric waveguides," Appl. Opt. 15, 1334-1340 (1976). [CrossRef] [PubMed]
  8. A. W. Snyder and X.-H. Zheng, "Optical fibers of arbitrary cross sections," J. Opt. Soc. Am. A 3, 600-609 (1986). [CrossRef]
  9. P. L. Overfelt and D. J. White, "TE and TM modes of some triangular cross-section waveguides using superposition of plane waves," IEEE Trans. Microwave Theory Tech. MTT-34, 161-167 (1986). [CrossRef]
  10. P. Benech, D. A. M. Khalil, and F. Saint Andre, "An exact simplified method for the normalization of radiation modes in planar multilayer structures," Opt. Commun. 88, 96-100 (1992). [CrossRef]
  11. H. Haferkorn, Optik: Physikalisch-Technische Grundlagen und Anwedungen (Barth, 1994).
  12. L. Thylen, "The beam propagation method: an analysis of its applicability," Opt. Quantum Electron. 15, 433-439 (1983). [CrossRef]
  13. A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman and Hall, 1983).
  14. P. Chanclou, M. Thual, J. Lostec, D. Pavy, M. Gadonna, and A. Poudoulec, "Collective micro-optics on fibre ribbon for optical interconnecting devices," J. Lightwave Technol. 17, 924-928 (1999). [CrossRef]
  15. P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, 1953).
  16. R. E. Collin, Field Theory of Guided Waves, 2nd ed. (IEEE, 1990). [CrossRef]
  17. M. H. Ahmed, Ain Shams University, Cairo, Egypt (personal communication, 2006).

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