We derive a generalized expression based on a three-dimensional (3-D) model to fully describe the dependence of the
nonreciprocity in a fiber coil caused by temperature gradient along the axial, radial, and circumferential directions
respectively. We use the finite element analysis method to numerically solve the partial differential equations describing
heat transfer in the fiber coil and obtain the rate and angular errors induced by the thermal transient effect with a better
accuracy. We show that the 3-D model can describe the thermal transient effects induced by both the symmetrical and
asymmetrical temperature gradients, which is not possible using the traditional two-dimensional model. Finally, we
validate the ability of the 3-D model for predicting the thermal transient behavior in the fiber coil by comparing
numerical and experimental results. The 3-D model proves useful for the development of a testing system capable of
characterizing symmetrical and asymmetrical temperature transient effects in the fiber gyro coil.
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