The Sagnac effect in optic fiber link synchronization of high-precision frequency standards

Abstract

This is the second of the two articles on the Sagnac effect, one of the main relativistic effects. Its idea is retarding (advancing) signals propagating in opposite directions throughout the perimeter of a rotating disc. In the first article its theoretical substantiation was presented. These calculations make the basis for this paper to be used for describing the effect under real conditions on the surface of the rotating Earth. An optical fiber is to distribute the signal. A relativistic equation is written for a wave propagating in an optical fiber, which is used on the Earth`s surface to synchronize high-precision frequency standards. This formula is analyzed, the level of contributions of various relativistic effects is estimated, and the Sagnac’s is singled out as the main one. A joint consideration of the theoretical foundations and the influence of the phenomenon in applied tasks will be good for solving the matter of synchronizing high-precision frequency standards in a complex way.