Accelerated ring laser

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Abstract
The behavior of a ring laser rotating with nonuniform angular velocity has become of interest, both experimental and theoretical. Within a framework of modest idealizations, we present a classical, relativistically exact theoretical analysis. The beat frequency, we find, is given by an expression of the Sagnac form but with the instantaneous angular velocity in place of the usual constant velocity. One has an "instantaneous Sagnac effect."

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