Foreword | p. xiii |
Preface | p. xv |
Introduction | p. 1 |
References | p. 3 |
Principle of the Fiber-Optic Gyroscope | p. 5 |
Sagnac Effect | p. 5 |
Sagnac Interferometer | p. 5 |
Case of a Medium | p. 10 |
Active and Passive Ring Resonators | p. 12 |
Ring Laser Gyroscope (RLG) | p. 12 |
Resonant Fiber-Optic Gyroscope (R-FOG) | p. 15 |
Passive Fiber Ring Interferometer | p. 17 |
Principle of the Interferometric Fiber-Optic Gyroscope (I-FOG) | p. 17 |
Theoretical Sensitivity | p. 19 |
Noise, Drift, and Scale Factor | p. 23 |
Bandwidth | p. 24 |
References | p. 25 |
Reciprocity of a Fiber Ring Interferometer | p. 27 |
Principle of Reciprocity | p. 27 |
Reciprocity of Wave Propagation | p. 27 |
Reciprocal Behavior of a Beam Splitter | p. 28 |
Minimum Configuration of a Ring Fiber Interferometer | p. 30 |
Reciprocal Configuration | p. 30 |
Reciprocal Biasing Modulation-Demodulation | p. 32 |
Proper (or Eigen) Frequency | p. 37 |
Reciprocity With All-Guided Schemes | p. 43 |
Evanescent-Field Coupler (or X-Coupler or 4-Port Coupler) | p. 43 |
Y-Junction | p. 46 |
All-Fiber Approach | p. 50 |
Hybrid Architectures With Integrated Optics: Optimal "Y-Tap" or "Y-Coupler" Configuration | p. 51 |
Problem of Polarization Reciprocity | p. 55 |
Rejection Requirement With Ordinary Single-Mode Fiber | p. 55 |
Use of Polarization-Preserving Fiber | p. 58 |
Use of Depolarizer | p. 59 |
Use of an Unpolarized Source | p. 59 |
References | p. 61 |
Backreflection and Backscattering | p. 63 |
Problem of Backreflection | p. 63 |
Reduction of Backreflection With Slant Interfaces | p. 63 |
Influence of Source Coherence | p. 66 |
Problem of Backscattering | p. 67 |
Coherent Backscattering | p. 67 |
Use of a Broadband Source | p. 68 |
Evaluation of the Residual Rayleigh Backscattering Noise | p. 69 |
References | p. 72 |
Analysis of Polarization Nonreciprocities With Broadband Source and High-Birefringence Fiber | p. 73 |
Depolarization Effect in High-Birefringence Polarization-Preserving Fibers | p. 73 |
Analysis of Polarization Nonreciprocities in a Fiber Gyroscope Using an All-Polarization-Preserving Waveguide Configuration | p. 75 |
Intensity-Type Effects | p. 75 |
Comment About Length of Depolarization L[subscript d] vs. Length of "Polarization Correlation" L[subscript pc] | p. 80 |
Amplitude-Type Effects | p. 83 |
Use of a Depolarizer | p. 84 |
Testing With Optical Coherence Domain Polarimetry (OCDP) Based on Path-Matched White-Light Interferometry | p. 86 |
References | p. 91 |
Transience-Related Drift and Noise | p. 93 |
Effect of Temperature Transience | p. 93 |
Effect of Acoustic Noise and Vibration | p. 96 |
References | p. 96 |
Truly Nonreciprocal Effects | p. 97 |
Magneto-Optic Faraday Effect | p. 97 |
Nonlinear Kerr Effect | p. 101 |
References | p. 106 |
Scale Factor Accuracy | p. 107 |
Problem of Scale Factor in the Interferometric Fiber Gyroscope | p. 107 |
Closed-Loop Operation | p. 108 |
Use of a Frequency Shift | p. 108 |
Analog Phase Ramp or Serrodyne Modulation | p. 111 |
Digital Phase Ramp | p. 115 |
All-Digital Closed-Loop Processing Method | p. 121 |
Wavelength Control | p. 126 |
Wavelength Dependence of a Ring Interferometer With a Broadband Source | p. 126 |
Effect of Phase Modulation | p. 129 |
Wavelength Control Schemes | p. 130 |
References | p. 132 |
Technology of the I-FOG | p. 135 |
Recapitulation of the Optimal Operating Conditions | p. 135 |
Source | p. 136 |
Superluminescent Diode | p. 136 |
Rare-Earth Doped Fiber Sources | p. 138 |
Fiber Coil | p. 140 |
"Heart" of the Interferometer | p. 141 |
Detector | p. 142 |
References | p. 144 |
Alternative Approaches for the I-FOG | p. 147 |
Alternative Optical Configurations | p. 147 |
Alternative Signal Processing Schemes | p. 149 |
Open-Loop Scheme With Use of Multiple Harmonics | p. 149 |
Second Harmonic Feedback | p. 149 |
Gated Phase Modulation Feedback | p. 150 |
Heterodyne and Pseudo-Heterodyne Schemes | p. 151 |
Beat Detection With Phase Ramp Feedback | p. 153 |
Dual Phase Ramp Feedback | p. 155 |
Extended Dynamic Range With Multiple Wavelength Source | p. 155 |
References | p. 157 |
Resonant Fiber-Optic Gyroscope (R-FOG) | p. 159 |
Principle of Operation of an All-Fiber Ring Cavity | p. 159 |
Signal Processing Method | p. 163 |
Reciprocity of a Ring Fiber Cavity | p. 165 |
Parasitic Effects in the R-FOG | p. 168 |
References | p. 169 |
Applications and Trends | p. 173 |
Present State of Development | p. 173 |
Trends for the Future and Concluding Remarks | p. 174 |
References | p. 175 |
Basics of Optics | p. 177 |
Optical Wave in a Vacuum | p. 177 |
Polarization of an Optical Wave | p. 181 |
Propagation in a Dielectric Medium | p. 185 |
Geometrical Optics | p. 193 |
Dielectric Interface: Reflection, Refraction, and Waveguidance | p. 194 |
Interferences | p. 198 |
Multiple-Wave Interferences | p. 205 |
Diffraction and Gaussian Beam | p. 208 |
Coherence | p. 212 |
Birefringence | p. 225 |
Bibliography | p. 231 |
Basics of Single-Mode Fiber Optics | p. 233 |
Discrete Modal Guidance in a Step Index Fiber | p. 233 |
Single-Mode Fiber | p. 237 |
Practical Silica Single-Mode Fibers | p. 244 |
Coupling in a Single-Mode Fiber | p. 245 |
Birefringence in a Single-Mode Fiber | p. 252 |
Polarization-Preserving Fibers | p. 257 |
Interference With Single-Mode Fibers and Related Components | p. 266 |
Bibliography | p. 271 |
Basics of Integrated Optics | p. 273 |
Integrated-Optic Channel Waveguide | p. 273 |
LiNbO[subscript 3] Integrated Optics | p. 276 |
Proton-Exchanged Waveguides | p. 281 |
Bibliography | p. 284 |
Electromagnetic Theory of the Relativistic Sagnac Effect | p. 285 |
Special Relativity and Electromagnetism | p. 285 |
Electromagnetism in a Rotating Frame | p. 294 |
Case of a Rotating Toroidal Dielectric Waveguide | p. 297 |
Bibliography | p. 299 |
Symbols | p. 301 |
About the Author | p. 307 |
Index | p. 309 |
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