The random offset of hole-position or random variation of hole-diameter always occur during the actual manufacture
process of asymmetric structure photonic crystal fibers. Birefringence of asymmetric photonic crystal fibers with circular
air holes and photonic crystal fibers with elliptical air holes are studied numerically based on the finite element method
under the perturbation circumstance. The results indicate that when the intrinsic-birefringence of asymmetric photonic
crystal fiber is smaller, the random offset of hole-position has larger influence than the variation of hole-diameter.
Birefringence resulted from perturbation is less sensitive to asymmetric structures with large pitch or small air-hole.
Moreover, the desired birefringence can be obtained by controlling the relative size of the two air holes or the ellipticity
of the elliptical-hole.
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