Bending Losses in Optical Fibers

  • Ann Kahlow Hobbs
  • William L. Kath
  • Gregory A. Kriegsmann
Part of the NATO ASI Series book series (NSSB, volume 284)


A typical single- or few-mode optical fiber is a thin glass cylinder with an outer diameter of roughly 103 μ. Most of the fiber makes up what is called the cladding, but at its center is an an inner core with a diameter of roughly 10μ containing glass with optical parameters slightly different from that in the cladding [1]. This is shown schematically in Figure 1. The inner core traps light because its index of refraction is larger than that in the surrounding cladding.


Inner Core Refractive Index Profile Energy Loss Rate Regular Expansion Linearly Polarize Mode 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    A. W. Snyder and J. D. Love, Optical Waveguide Theory, Chapman and Hall, London, 1983.Google Scholar
  2. [2]
    D. Marcuse, Light Transmission Optics, 2nd ed., Van Nostrand Reinhold, New York, 1982.Google Scholar
  3. [3]
    M. V. Berry, Attenuation and focusing of electromagnetic surface waves around gentle bends, J. Phys. A: Math. Gen., 8 (1975), pp. 1952–1971.ADSCrossRefGoogle Scholar
  4. [4]
    D. S. Jones, Acoustic tunnelling, Proc. Roy. Soc. Edinburgh, 81A (1978), pp. 1–21.ADSCrossRefGoogle Scholar
  5. [5]
    D. C. Chang and E. F. Kuester, Radiation and propagation of a surface-wave mode on a curved open waveguide of arbitrary cross section, Radio Sci., 11 (1976) pp. 449–457.ADSCrossRefGoogle Scholar
  6. [6]
    D. Marcuse, Radiation loss of a helically deformed optical fiber, J. Opt. Soc. Am. 66 (1976), pp. 1025–1031.ADSCrossRefGoogle Scholar
  7. [7]
    L. D. Landau and E. M. Lifshitz, Theory of Elasticity, Pergamon Press, Oxford, 1959.Google Scholar
  8. [8]
    W. L. Kath and G. A. Kriegsmann, Optical tunnelling: radiation losses in bent fibre-optic waveguides, IMA J. Appl. Math., 41 (1988), pp. 85–103.MathSciNetCrossRefGoogle Scholar
  9. [9]
    A. K. Hobbs and W. L. Kath, Losses for full vector mode solutions of arbitrarily bent optical fibres, IMA J. Appl. Math., 44 (1990), pp. 197–219.MathSciNetMATHCrossRefGoogle Scholar
  10. [10]
    B. Simon, Large orders and summability of eigenvalue perturbation theory: a mathematical overview, Int. J. Quant. Chem., 21 (1982), pp. 3–25.CrossRefGoogle Scholar
  11. [11]
    C. M. Bender and T. T. Wu, Anharmonic oscillator. II. A study of perturbation theory in larger order, Phys. Rev. D 7 (1973) pp. 1620–1636.MathSciNetADSCrossRefGoogle Scholar
  12. [12]
    R. B. Paris and A. D. Wood, A model equation for optical tunnelling, IMA J. Appl. Math. 43 (1989) pp. 273–284.MathSciNetMATHCrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1991

Authors and Affiliations

  • Ann Kahlow Hobbs
    • 1
  • William L. Kath
    • 1
  • Gregory A. Kriegsmann
    • 1
  1. 1.Engineering Sciences and Applied Mathematics, McCormick School of Engineering and Applied ScienceNorthwestern UniversityEvanstonUSA

Personalised recommendations