Applied physics

, Volume 1, Issue 1, pp 55–68 | Cite as

Planar leaky light-guides and couplers

  • R. Ulrich
  • W. Prettl
Contributed Papers


A quantitative theory of light propagation in a dielectric slab guide with general cladding media is presented. It is based on a plane wave which bounces in a zigzag fashion along the guide as a result of total or partial reflections at the two surfaces of the film. Two mechanisms are considered which contribute to the attenuation of the guide: losses due to absorption in the slab and cladding materials, and radiation losses if the guide is a leaky one. We point out the significance of the Goos-Hänchen effect for all questions relating to the power flow in the slab guide. The theory is illustrated by discussing dispersion and attenuation of guides with various low-index and high-index claddings, operating above and below cutoff. The low-index leaky guide is considered particularly in detail. Its high attenuation by leakage can be reduced to practically acceptable values (<1d B/cm) by increasing the film thickness to ≳ 40λ. One application of this guide is in the leaky wave coupler. This coupler may be viewed as a prism-film coupler simplified by omission of the gap. It offers a new approach to the problem of broad-band coupling to thin-film light guides.

Index Headings

Integrated optics Thin films Goos-Hänchen effect 


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  1. 1.
    R.Shubert, J.H.Harris: IEEE Trans. MTT16, 1048 (1968)CrossRefGoogle Scholar
  2. 2.
    P.K.Tien: Appl. Opt.10, 2395 (1971)ADSGoogle Scholar
  3. 3.
    S.E.Miller: IEEE J. QE-8, 199 (1972)CrossRefGoogle Scholar
  4. 4.
    R.Ulrich, R.J.Martin: Appl. Opt.10, 2077 (1971)ADSGoogle Scholar
  5. 5.
    P.K.Tien, R.Ulrich: J. Opt. Soc. Am.60, 1325 (1970)ADSGoogle Scholar
  6. 6.
    W.N.Hansen: J. Opt. Soc. Am.58, 380 (1986)ADSGoogle Scholar
  7. 6a.
    R.E.Collin.Field theory of guided waves. (McGraw Hill Book Comp., New York 1960)Google Scholar
  8. 7.
    R.Ulrich: J. Opt. Soc. Am.60, 1337 (1970)ADSCrossRefGoogle Scholar
  9. 8.
    T.Tamir, A.A.Oliner: Proc. IEE10 310 (1963)Google Scholar
  10. 9.
    K.Artmann: Ann. Physik (6)2, 87 (1948), — A discussion of this relation and an extensive bibliography on the Goos-Hänchen effect are given by H.K.V. Lotsch, Dissertation, Aachen (1970); Optik32, 116 and 189 (1970); Optik33, 299 and 553 (1971)ADSMATHGoogle Scholar
  11. 10.
    H.K.V.Lotsch: Optik27, 239 (1968)Google Scholar
  12. 11.
    J.J.Burke: Optical Science Center Newsletter (Tucson, Arizona)5, 66 (1971)Google Scholar
  13. 12.
    S.Wang, M.L.Shah, J.D.Crow: IEEE J. QE-8, 212 (1972)CrossRefGoogle Scholar
  14. 13.
    J.Kane, H.Osterberg: J. Opt. Soc. Am.54, 347 (1964)ADSGoogle Scholar
  15. 14.
    J.E.Midwinter: IEEE J. QE-7, 339 (1971)CrossRefGoogle Scholar
  16. 15.
    M.Born, E.Wolf:Principles of optics, 3rd ed. (Pergamon, New York 1964)Google Scholar
  17. 16.
    P.K.Tien, R.J.Martin: Appl. Phys. Letters18, 398 (1971)CrossRefADSGoogle Scholar
  18. 17.
    D.Marcuse: IEEE J. QE-8, 661 (1972)CrossRefGoogle Scholar
  19. 18.
    T.Takano, J.Hamasaki: IEEE J. QE-8, 206 (1972)CrossRefGoogle Scholar
  20. 19.
    E.A.J.Marcatili, R.A.Schmeltzer: Bell Syst. Tech. J.43, 1783 (1964)Google Scholar
  21. 20.
    P.K.Tien, R.Ulrich, R.J.Martin: Appl. Phys. Letters14, 291 (1969)CrossRefADSGoogle Scholar
  22. 21.
    G.Zeidler: Topical meeting on integrated optics, guided waves, materials, and devices, paper ThA5. Las Vegas, Nevada (February 1972)Google Scholar
  23. 22.
    R.Ulrich: J. Opt. Soc. Am.61, 1467 (1971)ADSGoogle Scholar
  24. 23.
    H.Osterberg, L.W.Smith: J. Opt. Soc. Am.54, 1078 (1964)ADSGoogle Scholar
  25. 24.
    F.Zernike, J.E.Midwinter: IEEE J. QE-6, 577 (1970)CrossRefGoogle Scholar
  26. 25.
    J.E.Midwinter: IEEE J. QE-7, 345 (1971)CrossRefGoogle Scholar
  27. 26.
    F.Zernike, E.L. Sloan, J.C. Webster, R.B.McGraw, W.L. Knecht: Topical meeting on integrated optics, guided waves, materials, and devices, paper TuA9. Las Vegas, Nevada (February 1972)Google Scholar
  28. 27.
    T.Tamir, A.A.Oliner: IRE Trans. AP-10, 51 (1962), and Proc. IEEE,51, 317 (1963)ADSGoogle Scholar
  29. 28.
    The role of leaky waves in such couplers has been pointed out by T.Tamir and H.L.Bertoni: J. Opt. Soc. Am.61, 1397 (1971)CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag 1973

Authors and Affiliations

  • R. Ulrich
    • 1
  • W. Prettl
    • 1
  1. 1.Max-Planck-Institut für FestkörperforschungStuttgartF.R. Germany

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