This monograph is devoted to the creation of a comprehensive formalism for quantitative
description of polarized modes' linear interaction in modern single-mode optic fibers. The
theory of random connections between polarized modes developed in the monograph allows
calculations of the zero shift deviations for a fiber ring interferometer. The monograph
addresses also the Sagnac effect and the Thomas precession.Devices such as gyroscopes used in
navigation and flight control work based on this technology. Given the ever increasing market
for navigation and air traffic researchers and practitioners in research and industry need a
fundamental and sound understanding of the principles. This work presents the underlying
physical foundations.
