It is demonstrated that the constitution of complex Faraday rotation in presence of intrinsic birefringence. We analyze the relationships between incident azimuth of linearly polarized light and birefringence and the influence of different orders birefringence on the measurement of magneto-optical effect. We proposed a relatively simple technique to accurately measure Faraday rotation of fiber. The order of birefringence in optical fiber and the high sensitivity magnetooptical characteristics can be determined by the measurement system.
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