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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 69, Iss. 12 — Dec. 1, 1979
  • pp: 1663–1671

Fundamental (HE11) modes of graded optical fibers

Allan W. Snyder and Rowland A. Sammut  »View Author Affiliations


JOSA, Vol. 69, Issue 12, pp. 1663-1671 (1979)
http://dx.doi.org/10.1364/JOSA.69.001663


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Abstract

The HE11 fields of weakly guiding fibers with graded refractive-index profiles are nearly identical to the fields of a step-index fiber with dimensionless frequency V¯ and radius ρ¯, where V¯ and ρ¯ are found by an elementary variational method. The results are remarkably accurate, with errors of a fraction of a percent at most, so that a simple, closed-form expression for the HE11 fields of graded fibers is now available. The step-fiber approximation is more widely applicable than the Gaussian field approximation which is inadequate for small V and for describing the evanescent field. However, the variational procedure also complements the Gaussian field approximation by providing analytical expressions for the spot size and propagation constant in several profiles of interest.

© 1980 Optical Society of America

Citation
Allan W. Snyder and Rowland A. Sammut, "Fundamental (HE11) modes of graded optical fibers," J. Opt. Soc. Am. 69, 1663-1671 (1979)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-69-12-1663

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