Optical Displacement
Counter-propagating light waves within a rotating frame experience a difference in their respective paths due to the relativistic effects of motion. The nonreciprocal phase shift describes this separation of the wave fronts which allows an interferometer to detect the rate of rotation. It provides the fundamental physical basis for the operation of optical gyroscopes.
Sagnac Effect
Geometric properties of the optical path determine the magnitude of the shift relative to the rotation velocity. In a circular loop, the beam traveling in the direction of rotation covers a slightly longer distance than the beam traveling against it. This path difference creates an interference pattern that scales with the area of the loop and the speed of the turn.
Signal Detection
Modulation techniques shift the signal into a range where the electronics can measure the phase difference with high sensitivity. A closed loop system applies a feedback signal to null the shift and improve the linearity of the output. Because the effect is extremely small at low rotation rates, the detection electronics must have a very low noise floor.
Stable operation requires the avoidance of nonreciprocal errors caused by magnetic fields or thermal gradients. These external factors can mimic the phase shift of a rotation and cause a false reading.
Measurement Precision
Performance levels in navigation depend on the ability to distinguish this phase shift from random noise. Very long fibre lengths increase the total shift and improve the resolution of the sensor.