Abstract

A novel effective-index method is formulated for solving the scalar wave equation expressed in cylindrical polar coordinates. With this method, the propagation constant for a noncircular fiber can be approximated by that for an equivalent circular fiber with index profile determined by the geometrical shape of the fiber. Numerical results show that the accuracy and applicability of the new method are complementary to those of the conventional effective-index method, which is developed in Cartesian coordinates.

© 1987 Optical Society of America

Analysis of optical fibers by the effective-index method

K. S. Chiang
Appl. Opt. 25(3) 348-354 (1986)

Analysis of segmented-cladding fiber by the radial-effective-index method

Vipul Rastogi and Kin Seng Chiang
J. Opt. Soc. Am. B 21(2) 258-265 (2004)

Holey optical fiber with circularly distributed holes analyzed by the radial effective-index method

Vipul Rastogi and Kin Seng Chiang
Opt. Lett. 28(24) 2449-2451 (2003)

Dual effective-index method for the analysis of rectangular dielectric waveguides

K. S. Chiang
Appl. Opt. 25(13) 2169-2174 (1986)

Numerical study of radially inhomogeneous optical fibers using a predictor–corrector method

G. L. Yip and H. H. Yao
Appl. Opt. 21(23) 4308-4315 (1982)