On the accuracy of WKB approximation in optical dielectric waveguides

Hartog, A.H. and Adams, M.J. (1977) On the accuracy of WKB approximation in optical dielectric waveguides Optical and Quantum Electronics, 9, pp. 223-232. (doi:10.1007/BF00619733).


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Eigenvalues and field distributions for optical waveguides obtained from the WKB approximation have been compared with those found from geometrical optics and from more rigorous weakly-guiding LP mode theories in the cases of the step-index and parabolic-index profiles. In all cases it is found that the zero-order WKB approximation yields very accurate eigenvalues provided care is taken in the choice of phase factors in the eigenvalue equation. Expressions are deduced for the required phase factors for guides of arbitrary index profile in both two- and three-dimensions, and physical interpretations are given in terms of ray optics. The first-order WKB field distributions are found to give good agreement with the mode fields everywhere except in the vicinity of the caustics.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1007/BF00619733
ISSNs: 0306-8919 (print)
Related URLs:
ePrint ID: 78742
Date :
Date Event
Date Deposited: 11 Mar 2010
Last Modified: 18 Apr 2017 20:20
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/78742

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