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Foreword | ||
Preface | ||
Ch. 1 | Introduction | 1 |
Ch. 2 | Principle of the Fiber-Optic Gyroscope | 5 |
2.1 | Sagnac Effect | 5 |
2.2 | Active and Passive Ring Resonators | 12 |
2.3 | Passive Fiber Ring Interferometer | 17 |
Ch. 3 | Reciprocity of a Fiber Ring Interferometer | 27 |
3.1 | Principle of Reciprocity | 27 |
3.2 | Minimum Configuration of a Ring Fiber Interferometer | 30 |
3.3 | Reciprocity With All-Guided Schemes | 43 |
3.4 | Problem of Polarization Reciprocity | 55 |
Ch. 4 | Backreflection and Backscattering | 63 |
4.1 | Problem of Backreflection | 63 |
4.2 | Problem of Backscattering | 67 |
Ch. 5 | Analysis of Polarization Nonreciprocities With Broadband Source and High-Birefringence Fiber | 73 |
5.1 | Depolarization Effect in High-Birefringence Polarization-Preserving Fibers | 73 |
5.2 | Analysis of Polarization Nonreciprocities in a Fiber Gyroscope Using an All-Polarization-Preserving Waveguide Configuration | 75 |
5.3 | Use of a Depolarizer | 84 |
5.4 | Testing With Optical Coherence Domain Polarimetry (OCDP) Based on Path-Matched White-Light Interferometry | 86 |
Ch. 6 | Transience-Related Drift and Noise | 93 |
6.1 | Effect of Temperature Transience | 93 |
6.2 | Effect of Acoustic Noise and Vibration | 96 |
Ch. 7 | Truly Nonreciprocal Effects | 97 |
7.1 | Magneto-Optic Faraday Effect | 97 |
7.2 | Nonlinear Kerr Effect | 101 |
Ch. 8 | Scale Factor Accuracy | 107 |
8.1 | Problem of Scale Factor in the Interferometric Fiber Gyroscope | 107 |
8.2 | Closed-Loop Operation | 108 |
8.3 | Wavelength Control | 126 |
Ch. 9 | Technology of the I-FOG | 135 |
9.1 | Recapitulation of the Optimal Operating Conditions | 135 |
9.2 | Source | 136 |
9.3 | Fiber Coil | 140 |
9.4 | "Heart" of the Interferometer | 141 |
9.5 | Detector | 142 |
Ch. 10 | Alternative Approaches for the I-FOG | 147 |
10.1 | Alternative Optical Configurations | 147 |
10.2 | Alternative Signal Processing Schemes | 149 |
10.3 | Extended Dynamic Range With Multiple Wavelength Source | 155 |
Ch. 11 | Resonant Fiber-Optic Gyroscope (R-FOG) | 159 |
11.1 | Principle of Operation of an All-Fiber Ring Cavity | 159 |
11.2 | Signal Processing Method | 163 |
11.3 | Reciprocity of a Ring Fiber Cavity | 165 |
11.4 | Parasitic Effects in the R-FOG | 168 |
Ch. 12 | Applications and Trends | 173 |
12.1 | Present State of Development | 173 |
12.2 | Trends for the Future and Concluding Remarks | 174 |
Appendix 1 Basics of Optics | 177 | |
A1.1 Optical Wave in a Vacuum | 177 | |
A1.2 Polarization of an Optical Wave | 181 | |
A1.3 Propagation in a Dielectric Medium | 185 | |
A1.4 Geometrical Optics | 193 | |
A1.5 Dielectric Interface: Reflection, Refraction, and Waveguidance | 194 | |
A1.6 Interferences | 198 | |
A1.7 Multiple-Wave Interferences | 205 | |
A1.8 Diffraction and Gaussian Beam | 208 | |
A1.9 Coherence | 212 | |
A1.10 Birefringence | 225 | |
Appendix 2 Basics of Single-Mode Fiber Optics | 233 | |
A2.1 Discrete Modal Guidance in a Step Index Fiber | 233 | |
A2.2 Single-Mode Fiber | 237 | |
A2.3 Practical Silica Single-Mode Fibers | 244 | |
A2.4 Coupling in a Single-Mode Fiber | 245 | |
A2.5 Birefringence in a Single-Mode Fiber | 252 | |
A2.6 Polarization-Preserving Fibers | 257 | |
A2.7 Interference With Single-Mode Fibers and Related Components | 266 | |
Appendix 3 Basics of Integrated Optics | 273 | |
A3.1 Integrated-Optic Channel Waveguide | 273 | |
A3.2 LiNbO[subscript 3] Integrated Optics | 276 | |
A3.3 Proton-Exchanged Waveguides | 281 | |
Appendix 4 Electromagnetic Theory of the Relativistic Sagnac Effect | 285 | |
A4.1 Special Relativity and Electromagnetism | 285 | |
A4.2 Electromagnetism in a Rotating Frame | 294 | |
A4.3 Case of a Rotating Toroidal Dielectric Waveguide | 297 | |
Symbols | 301 | |
About the Author | 307 | |
Index | 309 |
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