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1 online resource (318 pages) 

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Series 
De Gruyter Studies in Mathematical Physics Ser. ; v.13 

De Gruyter Studies in Mathematical Physics Ser

Note 
Intro  List of abbreviations  List of notations  1 Introduction  2 Fiber ring interferometry  2.1 Sagnac effect. Correct and incorrect explanations  2.1.1 Correct explanations of the Sagnac effect  2.1.1.1 Sagnac effect in special relativity  2.1.1.2 Sagnac effect in general relativity  2.1.1.3 Methods for calculating the Sagnac phase shift in anisotropic media  2.1.2 Conditionally correct explanations of the Sagnac effect  2.1.2.1 Sagnac effect due to the difference between the nonrelativistic gravitational scalar potentials of centrifugal forces in reference frames moving with counterpropagating waves  2.1.2.2 Sagnac effect due to the sign difference between the nonrelativistic gravitational scalar potentials of Coriolis forces in reference frames moving with counterpropagating waves  2.1.2.3 Quantum mechanical Sagnac effect due to the influence of the Coriolis force vector potential on the wave function phases of counterpropagating waves in rotating reference frames  2.1.3 Attempts to explain the Sagnac effect by analogy with other effects  2.1.3.1 Analogy between the Sagnac and AharonovBohm effects  2.1.3.2 Sagnac effect as a manifestation of the Berry phase  2.1.4 Incorrect explanations of the Sagnac effect  2.1.4.1 Sagnac effect in the theory of a quiescent luminiferous ether  2.1.4.2 Sagnac effect from the viewpoint of classical kinematics  2.1.4.3 Sagnac effect as a manifestation of the classical Doppler effect from a moving splitter  2.1.4.4 Sagnac effect as a manifestation of the FresnelFizeau dragging effect  2.1.4.5 Sagnac effect and Coriolis forces  2.1.4.6 Sagnac effect as a consequence of the difference between the orbital angularmomenta of photons in counterpropagating waves  2.1.4.7 Sagnac effect as a manifestation of the inertial properties of an electromagnetic field 

2.1.4.8 Sagnac effect in incorrect theories of gravitation  2.1.4.9 Other incorrect explanations of the Sagnac effect  2.2 Physical problems of the fiber ring interferometry  2.2.1 Milestones of the creation and development of optical ring interferometry and gyroscopy based on the Sagnac effect  2.2.2 Sources for additional nonreciprocity of fiber ring interferometers  2.2.2.1 General characterization of sources for additional nonreciprocity of fiber ring interferometers  2.2.2.2 Nonreciprocity as a consequence of the light source coherence  2.2.2.3 Polarization nonreciprocity: causes and solutions  2.2.2.4 Nonreciprocity caused by local variations in the gyro fiberloop parameters due to variable acoustic, mechanical, and temperature actions  2.2.2.5 Nonreciprocity due to the Faraday effect in external magnetic field  2.2.2.6 Nonreciprocal effects caused by nonlinear interaction between counterpropagating waves (optical Kerr effect)  2.2.2.7 Nonreciprocity caused by relativistic effects in fiber ring interferometers  2.2.3 Fluctuations and ultimate sensitivity of fiber ring interferometers  2.2.4 Methods for achieving the maximum sensitivity to rotation and processing the output signal  2.2.5 Applications of fiber optic gyroscopes and fiber ring interferometers  2.3 Physical mechanisms of random coupling between polarization modes  2.3.1 Milestones of the development of the theory of polarization mode linking in singlemode optical fibers  2.3.2 Phenomenological models of polarization mode coupling  2.3.3 Physical models of polarization mode coupling  2.3.4 Inhomogeneities arising as a fiber is drawn  2.3.4.1 Torsional vibration  2.3.4.2 Longitudinal vibration  2.3.4.3 Transverse vibration  2.3.4.4 Transverse stresses  2.3.5 Inhomogeneities arising in applying protective coatings 

2.3.6 Inhomogeneities arising in the course of winding  2.3.7 Rayleigh scattering: the fundamental cause of polarizationmode coupling  2.4 Application of the Poincaré sphere method  2.5 Thomas precession. Interpretation and observation issues  3 Development of the theory of interaction between polarization modes  3.1 Phenomenological estimates of the random coupling  3.1.1 Small perturbation method  3.1.2 Expanding the scope of the small perturbation method by partitioning the fiber into segments whose length is equal to the depolarization length  3.2 A physical model of the polarizationmode coupling  3.2.1 A model of random inhomogeneities in SMFs with random twists of the anisotropy axes  3.2.2 Connection between the polarization holding parameter and statistics of random inhomogeneities  3.2.3 Polarization holding parameter in the case of random and regular twisting  3.2.4 Statistical properties of the polarization modes for fibers with random inhomogeneities  3.3 Evolution of the degree of polarization of nonmonochromatic light  3.3.1 Small perturbation method  3.3.2 A method for modeling random twists  3.3.3 A mathematical method for modeling random twists in the presence of a regular twist  3.3.4 Analytical calculation of the limiting degree of polarization of nonmonochromatic light  3.3.5 Increasing of the correlation length of nonmonochromatic light traveling through a singlemode fiber with random inhomogeneities  3.4 Anholonomy of the evolution of light polarization  4 Experimental study of random coupling between polarization modes  4.1 A rapid method for measuring the output polarization state  4.2 Method for measuring the polarization beat length and ellipticity  4.3 Experimental comparison of the accuracy of different methods 

4.4 Influence of winding of singlemode fibers on the amount of the polarization holding parameter  4.5 Experimental study of the polarization degree evolution of light  4.6 Method of fabricating ribbon singlemode fibers  4.7 Method for removing the effect of photodetector dichroism  5 Fiber ring interferometers of minimum configuration  5.1 Polarization nonreciprocity of fiber ring interferometers  5.2 Fiber ring interferometers with a singlemode fiber circuit  5.3 Zero shift, deviation, and drift of fiber ring interferometers  5.3.1 Applicability conditions for the ergodic hypothesis  5.3.2 Influence of the amount of random twist of the fiber  5.3.3 Influence of the location of the random inhomogeneity  5.3.4 Influence of the mutual coherence of nonmonochromatic light in the main and orthogonal polarization modes at the point of inhomogeneity  5.3.5 Approximate calculation of the temperature zero drift  5.3.6 Calculation of the zero shift deviation of the FRI by the small perturbation method  5.3.7 Calculation of the zero shift deviation with the extended small perturbation method  5.3.8 Calculation of the zero shift deviation by the method of mathematical modeling of random inhomogeneities  5.3.8.1 Zero shift deviation of an FRI with a highbirefringence fiber  5.3.8.2 Zero shift deviation of an FRI with a lowbirefringence fiber  5.3.9 Calculation of the zero shift deviation of FRIs  5.4 Domains of application of the different methods for calculating PN  6 Fiber ring interferometers of nonstandard configuration  6.1 New type of nonmonochromatic light depolarizer for FRIs  6.2 Zero drift and output signal fading in an FRI with a polarizer  6.2.1 Small perturbation method. The quasiaxis model  6.2.2 Extended small perturbation method 

6.2.3 Method of mathematical modeling of random inhomogeneities in fibers  6.3 Fiber ring interferometers without a polarizer  6.3.1 FRIs with circularly polarized input light  6.3.2 Modulation method for removing the zero shift in a fiber ring interferometer without a polarizer  6.3.3 Fiber ring interferometer with a depolarizer of nonmonochromatic light  6.3.4 Fiber ring interferometer with a circuitmade from a uniformly twisted fiber  6.3.5 Zero shift deviation in FRIs without a polarizer and with a circuitmade from a highbirefringence fiber in a limited temperature range  7 Geometric phases in optics. The Poincaré sphere method  7.1 Application of the Poincaré sphere method  7.1.1 Analysis of the properties of the Pancharatnamphases. The Poincaré sphere  7.1.1.1 Type I Pancharatnamphase  7.1.1.2 Type II Pancharatnamphase  7.1.2 Birefringence in SMFs due to mechanical deformations  7.1.2.1 Kinematic phase in SMFs  7.1.2.2 Bending induced linear birefringence of SMFs  7.1.2.3 Twistinginduced circular birefringence of SMFs. The spiral polarization modes  7.1.3 Rytov effect and the RytovVladimirskii phase in SMFs and FRIs in the case of noncoplanar winding  7.1.3.1 Rytov effect in the FRI circuit fiber  7.1.3.2 RytovVladimirskii phase and PP2 in SMFs with noncoplanar winding  7.1.3.3 Rytov phase detection in FRIs  7.2 Polarization nonreciprocity in FRIs. Nonreciprocal geometric phase  7.3 Determination of a polarization state ensuring the absence of NPDCM  7.4 Criticism of unsubstantiated hypotheses relating to geometric phases  7.5 Optomechanical analogies relating to light propagation in SMFs  7.5.1 The analogy between the Rytov effect polarization optics and Ishlinskii effect in classicalmechanics  7.5.2 An optomechanical analogy of an SMF with twisting of the linear birefringence axes 

8 Timedependent, nonlinear, and magnetic effects 

This monograph is devoted to the creation of a comprehensive formalism for quantitative description of polarized modes' linear interaction in modern singlemode 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 

Description based on publisher supplied metadata and other sources 

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries 
Link 
Print version: Malykin, Grigorii B. Ring Interferometry
Berlin/Boston : De Gruyter, Inc.,c2013 9783110277241

Subject 
Biosensors.;Interferometry.;Particles (Nuclear physics)  Diffraction.;Polarization (Nuclear physics)


Electronic books

Alt Author 
Pozdnyakova, Vera I


Zhurov, Alexei

