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The multiple-beam summation method is used to construct a Fabry–Perot-cavity theory that takes into consideration the Faraday rotation effect. The transmission functions and the state of the polarizations are derived and discussed for the resonant and the off-resonant cavity configurations. The transmission function that includes the analyzer is also derived and discussed. The results in resonance configuration agree with the early theoretical and experimental results: mainly that the Faraday rotation can be resonantly enhanced by the Fabry–Perot cavity. In the off-resonance configuration the transmission as a function of the single-trip phase consists of two Airy functions separated by a distance of twice of the single-trip Faraday rotation. In the high reflectivity limit, the light at the peak becomes quasi-circularly polarized. The effect of this resonant structure on the Fabry–Perot cavity as a spectroscopic tool is mentioned.
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Hong Y. Ling (1994) studied this question.
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