Abstract

A simple integral formula for calculating first-order path-length changes due to motion is discussed. The integral expression yields a new insight into the mutual relation of the Michelson–Morley and Sagnac experiments. The results are tentatively extended to apply to dispersive systems. It is found that the path-length change in terms of phase reversals is independent of the waveguide mode; it is completely independent of the optical properties of the path. The mode independence of the phase shift due to motion is demonstrated by a field analysis for the case of a cylindrical duct.

© 1972 Optical Society of America

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