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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 71, Iss. 12 — Dec. 1, 1981
  • pp: 1492–1496

Multimode graded-index optical fibers: comparison of twoWentzel—Kramers—Brillouin formulations

Gunnar Jacobsen  »View Author Affiliations


JOSA, Vol. 71, Issue 12, pp. 1492-1496 (1981)
http://dx.doi.org/10.1364/JOSA.71.001492


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Abstract

Light propagation in graded-index optical fibers is described by two WKB methods, a classical formulation and the Langer-McKelvey approach. Explicit errors in these methods are evaluated for a fiber profile of near-parabolic shape and for one far from parabolic shape by comparing the methods with the results of evanescent wave theory that involve asymptotic error estimates. The most accurate formulation in general is the classical method, but in special cases the Langer—McKelvey approach is slightly more accurate. One example shows an inaccuracy of —672.5 to —672.1 psec/km in modal group delay for the latter method when the maximum intermodal group delay difference is 2.84 nsec/km.

© 1981 Optical Society of America

Citation
Gunnar Jacobsen, "Multimode graded-index optical fibers: comparison of twoWentzel—Kramers—Brillouin formulations," J. Opt. Soc. Am. 71, 1492-1496 (1981)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-71-12-1492


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References

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