Intensity distributions and cutoff frequencies of linearly polarized modes for a step-index elliptical optical fiber

Ivan Gomez-Castellanos; Ramon M. Rodriguez-Dagnino

doi:10.1117/1.2719698

1 April 2007 Intensity distributions and cutoff frequencies of linearly polarized modes for a step-index elliptical optical fiber

Ivan Gomez-Castellanos, Ramon M. Rodriguez-Dagnino

Author Affiliations +

Optical Engineering, Vol. 46, Issue 4, 045003 (April 2007). https://doi.org/10.1117/1.2719698

Abstract

Intensity distributions of linearly polarized (LP) propagation modes of several orders are plotted for a step-index elliptical-core dielectric waveguide. A simplified characteristic equation is obtained through the weakly guiding approximation, which can be used to find the propagation constants and the cutoff frequencies of each LP mode. These constants are then applied to the solution of the scalar wave equation, which is expanded in series of ordinary and modified Mathieu functions, to obtain the intensity patterns of the LP modes. Results are compared with previous work, and it is found that when the elliptical core tends to a circle (ratio of semimajor to semiminor axis equal to 1.0001) our cutoff frequencies are closer to the LP-mode cutoffs of the circular fiber than are the cutoffs obtained in other papers on elliptical fibers.

©(2007) Society of Photo-Optical Instrumentation Engineers (SPIE)

Citation Download Citation

Ivan Gomez-Castellanos and Ramon M. Rodriguez-Dagnino "Intensity distributions and cutoff frequencies of linearly polarized modes for a step-index elliptical optical fiber," Optical Engineering 46(4), 045003 (1 April 2007). https://doi.org/10.1117/1.2719698

Published: 1 April 2007

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