| Description |
1 online resource (320 pages) |
| Series |
De Gruyter Studies in Mathematical Physics ; v. 13 |
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De Gruyter studies in mathematical physics ; 13.
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| Contents |
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 |
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2.1.2.1 Sagnac effect due to the difference between the non-relativistic gravitational scalar potentials of centrifugal forces in reference frames moving with counterpropagating waves2.1.2.2 Sagnac effect due to the sign difference between the non-relativistic 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 |
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2.1.3 Attempts to explain the Sagnac effect by analogy with other effects2.1.3.1 Analogy between the Sagnac and Aharonov-Bohm 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 Fresnel-Fizeau dragging effect |
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2.1.4.5 Sagnac effect and Coriolis forces2.1.4.6 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 |
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2.2.2 Sources for additional nonreciprocity of fiber ring interferometers2.2.2.1 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 fiber-loop parameters due to variable acoustic, mechanical, and temperature actions; 2.2.2.5 Nonreciprocity due to the Faraday effect in external magnetic field |
| Summary |
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 connectionbetween 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 practit |
| Notes |
2.2.2.6 Nonreciprocal effects caused by nonlinear interaction between counterpropagating waves (optical Kerr effect) |
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Print version record |
| Subject |
Interferometry.
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Particles (Nuclear physics) -- Diffraction.
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Polarization (Nuclear physics)
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Interferometry
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TECHNOLOGY & ENGINEERING -- Sensors.
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TECHNOLOGY & ENGINEERING -- Technical & Manufacturing Industries & Trades.
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Interferometry
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Particles (Nuclear physics) -- Diffraction
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Polarization (Nuclear physics)
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Ringinterferometer
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Faseroptisches Interferometer
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| Form |
Electronic book
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| Author |
Malykin, Grigorii B
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Pozdnyakova, Vera I
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| ISBN |
9783110277920 |
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3110277921 |
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