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Modal behavior, cutoff condition, and dispersion characteristics of an optical waveguide with a core cross section bounded by two spirals

✍ Scribed by Vivek Singh; S. P. Ojha; L. K. Singh


Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
107 KB
Volume
21
Category
Article
ISSN
0895-2477

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✦ Synopsis


MoM solutions. In Section II, a few results at a moderately high frequency were presented, which showed excellent agreement between the standard MoM code and the hybrid method. These hybrid results, while interesting, are not new given the wide use and maturity of this technique. It was necessary, however, to briefly document the hybrid method in order to show how we could extend the current technique by using asymptotics. It was shown that, given a simple Hankel function substitution, asymptotic analysis could be used to evaluate many of the highly oscillatory integrals that resulted from the hybrid formulation. Results showed that the asymptotics reduced the computation time by roughly an order of Ε½ . magnitude over the normal hybrid solution see Fig. 5 , with no appreciable loss in accuracy. Finally, it is important to note that the solution run time of the hybrid method with the asymptotics is generally independent of the incident wave frequency.


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An optical fiber with an annular cross section bounded by two nonconcentric circles is analytically studied with a ¨iew to obtaining the modal characteristics. Using the characteristic equation deri¨ed from the matching of fields at the core᎐cladding boundaries expressed in terms of bipolar coordina