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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 72, Iss. 6 — Jun. 1, 1982
  • pp: 699–709

Evanescent-wave analysis of general clad graded-index fibers

Gunnar Jacobsen  »View Author Affiliations

JOSA, Vol. 72, Issue 6, pp. 699-709 (1982)

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The evanescent wave theory (ewt) is extended to treat modal propagation along a general graded-index opticalfiber structure surrounded by a uniform cladding. A step or a valley may be present at the core-cladding interface. The fiber core may be specified in a more general form than was the case for untruncated profiles. The reformulation of the original ewt method uses the uniform corrective method, developed by Arnold for WKB calculations, iteratively to specify nonintegral radial mode numbers for the clad index profile. The integral radial mode numbers of the unclad profile are used as first approximations. Our method gives corrected values for propagation constants and group delays of guided modes and complex propagation constants of leaky modes. Numerical results show good agreement with a numerical solution for a parabolic-core fiber. For other profiles they specify accurate asymptotic upper and lower limits for the cladding influence. For leaky modes of a truncated near-parabolic profile we show agreement with results of a simple WKB formulation. A valley, present at the core-cladding interface, causes a reduction in the maximum intermodal group-delay difference from 3.1 to 1.9 nsec/km because of a strong attenuation of high-order (leaky) modes.

© 1982 Optical Society of America

Gunnar Jacobsen, "Evanescent-wave analysis of general clad graded-index fibers," J. Opt. Soc. Am. 72, 699-709 (1982)

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  1. S. Chaudhary and L. B. Felsen, "Guided modes in graded index optical fibers," J. Opt. Soc. Am. 67, 1192–1196 (1977).
  2. G. Jacobsen and Hansen J. J. Ramskov, "Propagation constants and group delays of guided modes in graded index fibers: A comparison of three theories," Appl. Opt. 18, 2837–2842 (1979).
  3. G. Jacobsen and Hansen J. J. Ramskov, "Modified evanescent wave theory for evaluation of propagation constants and group delays of graded index fibers," Appl. Opt. 18, 3719–3720 (1979).
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  6. G. Jacobsen, "Evanescent-wave and nonlinear transformation analysis of graded index fibers," J. Opt. Soc. Am. 70, 1338–1344 (1980); Errata 71, 788 (1981).
  7. G. Jacobsen and Hansen J. J. Ramskov, "Detailed error estimates for the first order WKB method," Electron. Lett. 16, 540–541 (1980).
  8. G. Jacobsen and Hansen F. Ramskov, "Behavior of transients in propagation constant series of evanescent wave theory," Radio Sci. 16, 519–524 (1981).
  9. G. Jacobsen, "Multimode graded index optical fibers: comparison of two Wentzel-Kramers-Brillouin formulations," J. Opt. Soc. Am. 71, 1492–1496 (1981).
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  16. G. Jacobsen, "Evanescent wave theory describing propagation in guiding environments," Ph.D. Thesis (Technical University of Denmark, Copenhagen, 1980).
  17. G. Jacobsen, "Exact field expressions for guided modes of a general class of graded index fibers," Electron. Lett. 14, 464–465 (1978).
  18. M. D. Feit and J. A. Fleck, "Mode properties and dispersion for two optical fiber-index profiles by the propagating beam method," Appl. Opt. 19, 3140–3150 (1980).
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  20. J. J. Ramskov Hansen and E. Nicolaisen, "Propagation in graded index fibers: Comparison between experiment and three theories," Appl. Opt. 17, 2831–2835 (1978).

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