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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 16, Iss. 3 — Mar. 1, 1999
  • pp: 523–532

Scattering from an abruptly terminated asymmetrical slab waveguide

I. G. Tigelis and A. B. Manenkov  »View Author Affiliations

JOSA A, Vol. 16, Issue 3, pp. 523-532 (1999)

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The problem of the dominant TE guided-mode scattering from an abruptly terminated asymmetrical slab waveguide is examined by both the integral equation method and the variational technique. The reflection coefficient of the guided mode, the far-field radiation pattern, and the field distribution on the terminal plane are computed. Numerical results are presented for several cases of abruptly ended waveguides, including the three-layer guide and the structure with variable profile of the refractive index.

© 1999 Optical Society of America

OCIS Codes
(120.5700) Instrumentation, measurement, and metrology : Reflection
(230.7370) Optical devices : Waveguides
(230.7400) Optical devices : Waveguides, slab
(290.0290) Scattering : Scattering

Original Manuscript: May 5, 1998
Revised Manuscript: September 28, 1998
Manuscript Accepted: October 22, 1998
Published: March 1, 1999

I. G. Tigelis and A. B. Manenkov, "Scattering from an abruptly terminated asymmetrical slab waveguide," J. Opt. Soc. Am. A 16, 523-532 (1999)

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  1. D. Marcuse, “Radiation losses of tapered dielectric slab waveguides,” Bell Syst. Tech. J. 49, 273–290 (1970). [CrossRef]
  2. G. H. Brooke, M. M. Z. Kharadly, “Step discontinuities on dielectric waveguides,” Electron. Lett. 12, 473–475 (1976). [CrossRef]
  3. H. Yajima, “Coupled mode analysis of dielectric planar branching waveguides,” IEEE J. Quantum Electron. QE-14, 749–755 (1978). [CrossRef]
  4. K. Morishita, S. Inagaki, N. Kumagai, “Analysis of discontinuities in dielectric waveguides by means of the least squares boundary residual method,” IEEE Trans. Microwave Theory Tech. MTT-27, 310–315 (1979). [CrossRef]
  5. A. Ittipiboon, M. Hamid, “Scattering of surface waves at a slab waveguide discontinuity,” Proc. Inst. Electr. Eng. 126, 798–804 (1979). [CrossRef]
  6. T. E. Rozzi, G. H. in’t Veld, “Variational treatment of the diffraction at the facet of d.h. lasers and of dielectric millimeter wave antennas,” IEEE Trans. Microwave Theory Tech. MTT-28, 61–73 (1980). [CrossRef]
  7. R. Baets, P. E. Lagasse, “Calculation of radiation loss in integrated-optic tapers and Y-junctions,” Appl. Opt. 21, 1972–1978 (1982). [CrossRef] [PubMed]
  8. M. Kuznetsov, H. A. Haus, “Radiation loss in dielectric waveguide structures by the volume current method,” IEEE J. Quantum Electron. QE-19, 1505–1515 (1983). [CrossRef]
  9. K. Uchida, K. Aoki, “Scattering of surface waves on transverse discontinuities in symmetrical three-layer dielectric waveguides,” IEEE Trans. Microwave Theory Tech. MTT-32, 11–19 (1984). [CrossRef]
  10. K. Tsutsumi, Y. Imada, H. Hirai, Y. Yuba, “Analysis of single-mode optical Y-junctions by the bounded step and bend approximation,” J. Lightwave Technol. 6, 590–600 (1988). [CrossRef]
  11. C. Vassallo, “Reflectivity of multi-dielectric coatings deposited on the end facet of a weakly guiding dielectric slab waveguide,” J. Opt. Soc. Am. A 5, 1918–1928 (1988). [CrossRef]
  12. A. B. Manenkov, “Step discontinuities in dielectric waveguides (fibres),” Opt. Quantum Electron. 22, 65–76 (1990). [CrossRef]
  13. M. Munowitz, D. J. Vezzetti, “Numerical modelling of coherent coupling and radiation fields in planar Y-branch interferometers,” J. Lightwave Technol. 10, 1570–1573 (1992). [CrossRef]
  14. P. C. Kendall, D. A. Roberts, P. N. Robson, M. J. Adams, M. J. Robertson, “Semiconductor laser facet reflectivities using free-space radiation modes,” IEE Proc.-J: Optoelectron. 140, 49–55 (1993).
  15. Y. P. Chiou, H. C. Chang, “Analysis of optical waveguide discontinuities using Pade approximants,” IEEE Photonics Technol. Lett. 9, 964–966 (1997). [CrossRef]
  16. C. M. Angulo, “Diffraction of surface waves by a semi-infinite dielectric slab,” IRE Trans. Antennas Propag. AP-5, 100–109 (1957). [CrossRef]
  17. T. Ikegami, “Reflectivity of mode at facet and oscillation mode in double-heterostructure injection lasers,” IEEE J. Quantum Electron. QE-8, 470–476 (1972). [CrossRef]
  18. P. Gelin, M. Petenzi, J. Citerne, “Rigorous analysis of the scattering of surface waves in an abruptly ended slab dielectric waveguide,” IEEE Trans. Microwave Theory Tech. MTT-29, 107–114 (1981). [CrossRef]
  19. C. J. Smartt, T. M. Benson, P. C. Kendall, “Exact analysis of waveguide discontinuities: junctions and laser facets,” Electron. Lett. 29, 1352–1353 (1993). [CrossRef]
  20. A. B. Manenkov, “Propagation of a surface wave along a dielectric waveguide with an abrupt change of parameters. II: Solution by variational method,” Radiophys. Quantum Electron. 25, 1050–1055 (1982). [CrossRef]
  21. N. K. Uzunoglu, C. N. Capsalis, I. Tigelis, “Scattering from an abruptly terminated single-mode-fiber waveguide,” J. Opt. Soc. Am. A 4, 2150–2157 (1987). [CrossRef]
  22. A. B. Manenkov, “Reflection of the surface mode from an abruptly ended W-fibre,” IEE Proc.-J: Optoelectron. 139, 101–104 (1992).
  23. T. J. M. Boyd, I. Moshkun, I. M. Stephenson, “Radiation losses due to discontinuities in asymmetric three-layer optical waveguides,” Opt. Quantum Electron. 12, 143–158 (1980). [CrossRef]
  24. D. Marcuse, Theory of Dielectric Optical Waveguides, 2nd ed. (Academic, London, 1991), Chap. 1.
  25. L. Lewin, Theory of Waveguides (Newness-Butterworth, London, 1975).
  26. I. G. Tigelis, T. G. Theodoropoulos, I. A. Papakonstantinou, “Radiation properties of an abruptly terminated five-layer symmetric slab waveguide,” J. Opt. Soc. Am. A 14, 1260–1267 (1997). [CrossRef]
  27. A. B. Manenkov, “Eigenmodes expansion in lossy open waveguides (fibres),” Opt. Quantum Electron. 23, 621–632 (1991). [CrossRef]
  28. T. Y. Na, Computational Methods in Engineering Boundary Value Problems (Academic, New York, 1979).
  29. A. D. Vasil’ev, A. B. Manenkov, “Diffraction of the surface wave at the end of the dielectric tube,” Radiophys. Quantum Electron. 30, 320–326 (1987). [CrossRef]
  30. F. K. Reinhart, I. Hayashi, M. B. Panish, “Mode reflectivity and waveguide properties of double-heterostructure injection lasers,” J. Appl. Phys. 42, 4466–4479 (1971). [CrossRef]
  31. J. K. Butler, J. Zoroofchi, “Radiation fields of GaAs-(AlGa)As injection lasers,” IEEE J. Quantum Electron. QE-10, 809–815 (1974). [CrossRef]
  32. J. Buus, “Analytic approximation for the reflectivity of DH lasers,” IEEE J. Quantum Electron. QE-17, 2256–2257 (1981). [CrossRef]

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