In this paper, we propose a kind of phase conjugate fiber optic gyroscope (FOG). The natural time reversal property of the phase conjugation process can eliminate much of the nonreciprocal effects in optical gyroscope, so this can improve the FOG performance for better applications. We use the degenerate four-wave mixing (DFWM) process to generate counter-propagating phase conjugated waves with the advantage that this process is free from phase matching constrains. DFWM is also a parametric amplification process, so this can remedy the power attenuation in the interacting process and improve the signal to noise ratio. This method can improve sensitivity of the FOG as well. We also take advantage of the evanescent field outside the optical waveguide to interact with the imposed pump field. In this way, we can maximize the nonlinear interaction through choosing proper waveguide dimensions and the cladding materials.
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