We investigate the influence of cross-sectional shape on propagation in optical fibers. Remarkably simple, analytical expressions are derived for modes on multimoded fibers, including the fraction of power in the cladding, the group velocity, and the modal birefringence. The fibers have arbitrary cross-sectional shape and arbitrary refractive-index difference. New analytical results are given for the rectangular, elliptical, triangular, and wedge-shaped cross sections.
© 1986 Optical Society of America
Original Manuscript: October 4, 1985
Manuscript Accepted: December 23, 1985
Published: May 1, 1986
Allan W. Snyder and Xue-Heng Zheng, "Optical fibers of arbitrary cross sections," J. Opt. Soc. Am. A 3, 600-609 (1986)