Sagnac effect in an off-center rotating ring frame of reference

Abstract

Interference resides deeply in our understanding of the wave properties of light. In this paper, the century famous Sagnac effect is demonstrated to be independent of the rotation axis position, using a rotating ring optical fiber in a straightforward laboratory experiment. A simple theoretical explanation for this result is given for any arbitrary closed loop interferometer. The level of this discussion should be suitable for undergraduate physics or engineering courses where electromagnetic theory and optics are discussed. The experiment described utilizes basic and important aspects in modern optics which every science student should acquire.

Notes on the Sagnac effect in general relativity

“…Thus, the time difference due to this term is a multiple of the "rotation flux" through the surface S spanned by γ. This contribution is invariant under translations [19], i.e., under the transformation x k → x k + q k for constant q k and rotations x k → α k l x l , where α k l is a constant orthogonal matrix. This is the classical Sagnac effect as described in [18] for, if we assume that ω ik describes a rotation around the 3-axis, i.e., when ω = ωe 3 and that, further, γ is a simple closed curve in the (12)-plane then we obtain…”

Spectral switch anomalies in a Sagnac interferometer with respect to a Galilean frame

“…The position of source and detector remains perpendicular to each other. The whole system base can be provide gyroscopic motion [21][22][23][24][25]. The rotation may be relativistic or non relativistic.…”

The Theoretical Limit of Sagnac Effect

“…By optimizing the components, structures and measurement methods continuously, the accuracy of optical gyroscope is approaching the theoretical limit [13]. It is extremely difficult to further improve the accuracy of optical gyroscope.…”