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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