Abstract

Birefringence due to a uniform bending of an anisotropic optical fiber is studied. The analysis is perturbational and valid only for a large radius of curvature. First, the theory is applied to a general inhomogeneous weakly guiding anisotropic waveguide leading to second-order differential vector equations for the transversal fields and a formula for the change of the propagation constant. This is seen to be proportional to (a/R0)2, where a is the radius of the fiber and R0 is the radius of the curvature. Next, the concept of linearly polarized modes in the weakly guiding fiber is adopted, and the analysis is applied to isotropic step-index and parabolic-index fibers together with the corresponding anisotropic waveguides. Field solutions and expressions for the birefringence are discussed for each of the cases.

© 1989 Optical Society of America

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