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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 68, Iss. 9 — Sep. 1, 1978
  • pp: 1188–1191

The step index limit of power law refractive index profiles for optical waveguides

John D. Love and Clive Winkler  »View Author Affiliations

JOSA, Vol. 68, Issue 9, pp. 1188-1191 (1978)

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We demonstrate the breakdown of the usual WKB expressions for tunneling ray power transmission coefficients on multimode optical wavequides with power law refractive index dependence, when the profile approaches the step index limit. A qualitative analysis provides a solution valid in this transition region, which also quantifies the domain of applicability of the WKB analysis. The latter is much more restricted than the usual condition on the slope of the profile predicts, and is due to the abrupt change in slope at the core-cladding interface.

© 1978 Optical Society of America

John D. Love and Clive Winkler, "The step index limit of power law refractive index profiles for optical waveguides," J. Opt. Soc. Am. 68, 1188-1191 (1978)

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  1. A. Ankiewicz and C. Pask, "On the geometric optics description of light acceptance and propagation in graded index fibers," Opt. Quantum Electron. 9-2, 87–109 (1977).
  2. A. W. Snyder and J. D Love, "Attenuation coefficient for tunnelling rays in graded fibres," Electron. Lett. 12, 324–326 (1976).
  3. D. Marcuse, "Light Transmission Optics," (Van Nostrand, New York, 1972).
  4. J. D. Love and C. Winkler, "Attenuation and tunneling coefficients for leaky rays in multilayered optical waveguides," J. Opt. Soc. Am. 67, 1627–1633 (1977).
  5. L. Brekhovskikh, Waves in Layered Media (Academic, New York, 1961).

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