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Parabolic cylindrical waveguides: revisited

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An analytical investigation is presented of a waveguide with parabolic cylindrical guiding section. It is assumed that the waveguide has a step-index profile, and the refractive index of the guiding region is slightly higher than that of the two non-guiding regions so that the scalar field approximation in optical waveguides can be employed for the analysis. The eigenvalue equation for the cutoff modes is derived, and it is solved without using any field approximations. The plots represent a bunching tendency of modes instead of well-defined discreteness, which is because the distance of separation between the two layer interfaces does not remain constant, but continues to increase instead as one moves away from the region near the vertices of the parabolas. It is also found that by making the analysis more exact, the guide supports less number of modes, which is of advantage in the point of view of applications of such guides in optical communications or other related fields.

Keywords: Optical fibers; electromagnetic wave propagation

Document Type: Original Article


Affiliations: 1: Satellite Venture Business Laboratory, Faculty of Engineering, Gunma University, Kiryu 376-8515, Gunma, Japan 2: Department of Physics, Faculty of Science and Engineering, Laval University, Quebec City, G1K 7P4, Canada

Publication date: 2001-10-01

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