On the propagation of electromagnetic waves in an inhomogeneous medium

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Anjum Ali
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Saudi Digital Library
The propagation of electromagnetic waves in inhomogeneous dielectric media (with rectangular as well as cylindrical geometry) having a perturbed-parabolic refractive index has been analysed in detail. Evaluation of the field distributions and the corresponding propagation constants has been carried out for the special case of uniformity in one transverse direction. A general polynomial type of perturbation on the parabolic refractive index has been treated. A series solution in terms of the Hermite functions has been set up for the perturbed fields in the case of an infinite medium in rectangular coordinates, while a power series, in terms of the radial coordinate, has been used for the case of a graded-core optical fiber in cylindrical coordinates. Special examples of linear, cubic and quartic perturbation have been solved numerically using computer techniques and important results have been reported.