Foreword |
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xvii | |
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Foreword |
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xix | |
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Preface |
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xxi | |
Introduction |
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xxv | |
Part One Fundamentals Of Lasers And Beam Polarizations |
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1 Rigorous Introduction to Lasers and Beam Polarizations |
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3 | (22) |
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1.1 The Basic Amplifier/Cavity Configuration |
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3 | (1) |
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1.2 Optical Waves of a Laser |
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4 | (4) |
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1.3 Cavity Closed-Loop and Laser Threshold |
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8 | (8) |
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1.3.1 The System Acts as a Closed-Loop Amplifier |
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11 | (2) |
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1.3.2 The Closed-Loop System Acts as a Steady State Oscillator |
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13 | (3) |
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1.4 Survey of Techniques for Generating and Converting Laser Polarization States |
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16 | (8) |
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1.4.1 Survey of Light Polarization States |
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17 | (1) |
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1.4.2 Polarization Conversion by Anisotropic Components |
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18 | (2) |
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1.4.3 Laser Polarization States at a Glance |
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20 | (3) |
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1.4.4 Anisotropic Elements Modulated by Electric/Magnetic Fields or Tactile Forces |
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23 | (1) |
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24 | (1) |
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24 | (1) |
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2 Basic Physical Effects Inside Lasers |
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25 | (36) |
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2.1 Interaction between Light and Particles |
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25 | (5) |
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2.1.1 Spontaneous Emission |
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26 | (1) |
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2.1.2 Stimulated Transitions |
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27 | (1) |
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2.1.3 Relationships among Einstein Coefficients |
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28 | (1) |
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2.1.4 Intensities by Spontaneous Emission and Induced Emission |
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28 | (1) |
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2.1.5 Boltzmann Distribution Law |
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29 | (1) |
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2.1.6 Population Inversion and Light Amplification |
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29 | (1) |
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2.2 Line Shape Function and the Line Broadening Mechanism |
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30 | (8) |
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2.2.1 Line Form Function and Luminescence Line Bandwidth |
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31 | (1) |
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2.2.2 Probability of Spontaneous and Induced Transitions |
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31 | (1) |
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2.2.3 Mechanisms of Line Broadening |
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32 | (6) |
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2.3 Gain Coefficient of Light in an Active Medium |
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38 | (2) |
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2.3.1 Amplification Factor, Gain, and Gain Coefficient |
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38 | (2) |
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2.3.2 Some Remarks on the Gain Coefficient |
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40 | (1) |
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2.4 Saturation of Gain in the Laser Active Medium |
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40 | (4) |
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2.4.1 Saturation in a Homogeneously Broadened Medium |
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41 | (2) |
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2.4.2 Saturation in an Inhomogeneously Broadened Medium |
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43 | (1) |
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2.4.3 Saturation in an Integrative Broadened Medium |
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43 | (1) |
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2.5 Threshold Condition, Gain for Stationary Operation, and Lasing Bandwidth |
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44 | (2) |
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2.5.1 Losses of a Laser and the Threshold Condition |
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44 | (2) |
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2.5.2 Stationary Gain of a Laser in Continuous Operation |
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46 | (1) |
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2.6 Optical Cavities and Laser Modes |
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46 | (4) |
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2.6.1 Optical Cavity and Its Stability Condition |
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46 | (1) |
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2.6.2 Longitudinal Modes of a Laser |
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47 | (1) |
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2.6.3 Laser Frequency Shift |
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48 | (1) |
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2.6.4 Laser Transverse Modes |
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49 | (1) |
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2.6.5 Self-Consistent Condition of Laser Oscillation |
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50 | (1) |
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2.7 Laser Mode Competition |
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50 | (4) |
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2.7.1 Mode Competition in a Laser with a Homogeneously Broadened Medium |
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51 | (1) |
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2.7.2 Mode Competition in an Integratively Broadened Medium |
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52 | (2) |
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2.8 Mode Push/Pull and Locking Effects |
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54 | (1) |
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2.8.1 Frequency Pulling and Pushing Effects |
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54 | (1) |
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55 | (1) |
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2.9 Power Tuning Properties of Lasers |
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55 | (4) |
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2.9.1 Experimental Study of the Power Tuning Properties in Single-Mode Lasers |
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55 | (2) |
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2.9.2 Power Tuning Curve of a Laser with a Homogeneously Broadened Medium |
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57 | (1) |
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2.9.3 Tuning Properties of a Laser with an Integratively Broadened Medium |
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57 | (2) |
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59 | (2) |
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3 Specific Laser Technologies Applicable for Orthogonally Polarized Beam Generation |
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61 | (22) |
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61 | (1) |
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62 | (6) |
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3.2.1 He-Ne Laser Configurations |
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62 | (2) |
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3.2.2 Gas Discharge Excitation Mechanism (0.6328 µm) |
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64 | (2) |
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3.2.3 Light Generation Process |
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66 | (1) |
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3.2.4 Factors Influencing Output Power of Laser Radiation |
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66 | (1) |
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3.2.5 Polarization and Radiation Properties of He-Ne Lasers |
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67 | (1) |
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3.3 Carbon Dioxide (CO2) Laser and Its Polarization State |
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68 | (1) |
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3.4 Optically Pumped Nd:YAG Lasers (1.06 µm) |
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69 | (3) |
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3.4.1 Optical Properties of Nd: YAG Crystals and Excitation Mechanism for Laser Radiation |
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69 | (2) |
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3.4.2 Pumping of the Nd:YAG Laser by a Laser Diode |
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71 | (1) |
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3.4.3 Polarization and Features of Diode Pumped Nd: YAG Lasers |
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72 | (1) |
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72 | (4) |
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3.5.1 Structures of Semiconductor Lasers |
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73 | (1) |
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3.5.2 Polarization States of Semiconductor Lasers |
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74 | (1) |
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3.5.3 Features of Semiconductor Lasers |
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75 | (1) |
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76 | (2) |
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3.6.1 Basic Structure and Typical Laser Parameters |
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76 | (1) |
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3.6.2 Fiber Polarizations States |
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76 | (1) |
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3.6.3 Advantages and Applications of Fiber Lasers |
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77 | (1) |
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3.7 Conclusions on Relevant Orthogonally Polarized Laser Technologies |
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78 | (2) |
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80 | (3) |
Part Two Generation Of Orthogonal Laser Polarizations |
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4 Zeeman Dual-Frequency Lasers and Multifrequency Ring Lasers-Orthogonally Polarized Lasers in Tradition |
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83 | (16) |
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83 | (1) |
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4.2 Zeeman Dual-Frequency Lasers |
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84 | (4) |
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84 | (1) |
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4.2.2 Longitudinal and Transversal Zeeman Dual-Frequency Lasers |
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85 | (3) |
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4.3 Multifrequency Ring Laser |
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88 | (8) |
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4.3.1 Two-Frequency Ring Lasers |
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88 | (3) |
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4.3.2 Four-Frequency Ring Lasers |
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91 | (5) |
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4.3.3 Further Ring Laser Designs |
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96 | (1) |
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96 | (3) |
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5 Matrix Theory of Anisotropic Laser Cavities - A Further Approach to Orthogonally Polarized Dual-Frequency Lasers |
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99 | (14) |
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99 | (1) |
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5.2 Polarization-Dependent Properties of Optical Materials |
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100 | (1) |
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5.3 Introduction to the Jones Formalism |
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101 | (1) |
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5.4 Mathematical Description of Polarized Light by the Jones Vectors |
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102 | (1) |
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5.5 Transfer Matrixes of Retarders, Rotators, and Polarizers |
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103 | (2) |
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5.6 Serial Connections of Anisotropic Elements and the Jones Theorem |
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105 | (2) |
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5.7 Connection of Different Retardations within the Same Anisotropic Element |
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107 | (1) |
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5.8 Calculation of Eigenpolarizations and Eigenfrequencies of Passive Anisotropic Cavities |
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107 | (4) |
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111 | (1) |
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111 | (2) |
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6 Orthogonal Polarization and Frequency Splitting in Birefringent Laser Cavities |
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113 | (32) |
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6.1 Laser Frequency Splitting Due to Intracavity Birefringence |
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113 | (4) |
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6.2 Laser Frequency Splitting Caused by Intracavity Quartz Crystals |
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117 | (8) |
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6.2.1 Optical Activity and Birefringence of Quartz Crystals |
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118 | (2) |
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6.2.2 Laser Frequency Splitting Due to the Quartz Crystal in the Resonator |
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120 | (5) |
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6.3 Laser Frequency Splitting Caused by Intracavity Electro-optic Crystals |
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125 | (4) |
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6.3.1 Electro-optic Effect of Crystals and Induced Birefringence |
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125 | (2) |
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6.3.2 Laser Frequency Split Caused by Internal Electro-optic Crystals |
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127 | (2) |
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6.4 Induced Stress Birefringence and Laser Frequency Splitting |
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129 | (4) |
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6.4.1 Induced Stress Birefringence in Photoelastic Materials |
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129 | (2) |
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6.4.2 Laser Frequency Splitting Caused by Intracavity Stress Elements |
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131 | (2) |
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6.5 Frequency Splitting in Semiconductor Lasers |
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133 | (3) |
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6.5.1 Frequency Splitting in a Semiconductor Laser Caused by a Two-Branched Half-External Cavity Structure |
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133 | (1) |
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6.5.2 Frequency Splitting in a Semiconductor Laser by a Wave Plate in a Single-Cavity Structure |
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134 | (2) |
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136 | (1) |
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6.6 Frequency Splitting in Fiber Lasers |
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136 | (1) |
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6.7 Observation and Readout of Frequency Splitting |
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137 | (6) |
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6.7.1 Observation of Laser Frequency Splitting by Scanning Interferometers |
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138 | (3) |
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6.7.2 Observation and Measurements of Laser Frequency Splitting by Spectrum Analyzers |
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141 | (1) |
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6.7.3 Observing the Beat Signal in the Time Range by Oscilloscopes |
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142 | (1) |
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6.7.4 Measurement of Beat Frequency by a Digital Frequency Meter |
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142 | (1) |
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6.8 Final Remark on Methods Used to Obtain Small and Also Larger Frequency Differences |
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143 | (1) |
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143 | (2) |
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7 Design of Orthogonally Polarized Lasers |
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145 | (30) |
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145 | (2) |
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7.2 Quartz Birefringence He-Ne Laser |
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147 | (3) |
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7.3 Stress-Induced Birefringence He-Ne Laser |
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150 | (3) |
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7.4 Equidistant Frequency Split Ultrashort He-Ne Laser |
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153 | (1) |
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7.5 Zeeman Birefringence Dual-Frequency He-Ne Laser |
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154 | (4) |
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7.6 He-Ne Laser with Two Intracavity Birefringence Elements |
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158 | (3) |
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7.7 Orthogonally Polarized Lasers with a Superposition Layer Birefringence Film |
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161 | (2) |
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7.8 Laser Diode Pumped Birefringent Nd:YAG Laser with Tunable Frequency Difference |
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163 | (6) |
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163 | (1) |
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7.8.2 Modular and Monolithic Nd:YAG Lasers |
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164 | (5) |
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7.9 Orthogonally Polarized Lasers with Electrically Controllable Frequency Differences |
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169 | (1) |
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170 | (5) |
Part Three Nonlinear Behavior Of Orthogonally Polarized Lasers |
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8 Competition and Flipping Phenomena in Orthogonally Polarized Lasers |
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175 | (36) |
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8.1 Intensity Tuning, Mode Competition, and Frequency Difference Tuning in Dual-Frequency Lasers |
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176 | (8) |
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8.1.1 Mode Competition and Intensity Tuning Properties of Birefringent Lasers |
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176 | (7) |
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8.1.2 Frequency Difference Tuning in a Birefringent Dual-Frequency Laser |
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183 | (1) |
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8.2 Properties of Intensity Tuning and Frequency Difference Tuning in Birefringent Zeeman Lasers |
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184 | (7) |
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8.2.1 Experimental Arrangement |
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185 | (1) |
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8.2.2 Basic Shapes of the Tuning Curves of the Intensity and Frequency Difference |
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186 | (1) |
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8.2.3 Influence of Magnetic Field Magnitude on the Intensity Tuning Curve |
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187 | (3) |
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8.2.4 Influence of the Frequency Difference on the Properties of Intensity Tuning Curves |
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190 | (1) |
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8.2.5 Effect of the Angle between the Directions of the Magnetic Field and the External Force |
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191 | (1) |
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8.3 Polarization Properties Caused by Optical Activity of an Intracavity Quartz Crystal |
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191 | (7) |
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8.3.1 Extracavity Measurement of Optical Activity of Quartz Crystals |
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191 | (1) |
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8.3.2 Polarization Rotation of a Laser Beam Due to Optical Activity of an Intracavity Quartz Crystal |
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192 | (2) |
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8.3.3 Self-Consistent Theory of Polarization Rotation Due to Optical Activity |
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194 | (4) |
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8.4 Effect of Optical Activity in the Frequency Difference |
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198 | (3) |
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8.5 Polarization Flipping and Optical Hysteresis in Birefringent Lasers |
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201 | (8) |
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203 | (3) |
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8.5.2 Inhibition Mechanism |
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206 | (2) |
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8.5.3 Hybrid Hysteresis Loop |
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208 | (1) |
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209 | (2) |
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9 Optical Feedback Effects in Orthogonally Polarized Lasers |
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211 | (62) |
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9.1 General Concept of Laser Feedback |
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212 | (4) |
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9.1.1 Basic Experimental Arrangement |
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212 | (2) |
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9.1.2 Past/Actual Studies of Optical Feedback Effects |
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214 | (1) |
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9.1.3 Optical Feedback Modeling of Orthogonally Polarized Lasers |
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215 | (1) |
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9.2 Optical Feedback for Birefringent He-Ne Lasers |
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216 | (19) |
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9.2.1 Experimental System |
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217 | (2) |
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9.2.2 Feedback Fringes at Different Feedback Levels of a Birefringent He-Ne Laser |
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219 | (6) |
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9.2.3 Phase Difference of the o-Beam and the e-Beam in Weak Optical Feedback for Birefringent He-Ne Lasers |
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225 | (5) |
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9.2.4 Optical Feedback for Lasers with Two Longitudinal Modes |
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230 | (5) |
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9.3 Optical Feedback of Birefringence Zeeman Lasers |
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235 | (6) |
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9.3.1 Generic Cosine Feedback Fringes in Birefringence Zeeman Lasers |
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235 | (3) |
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9.3.2 Competitive Feedback Fringes in Birefringence Zeeman Lasers |
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238 | (3) |
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9.4 Optical Feedback with an Orthogonally Polarized External Cavity |
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241 | (7) |
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9.4.1 Experimental Configuration |
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242 | (1) |
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9.4.2 Optical Feedback with an Orthogonally Polarized External Cavity |
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242 | (6) |
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9.5 Narrow Feedback Fringes of Birefringent Dual-Frequency Lasers |
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248 | (8) |
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9.5.1 General about the Round-Trip Selection External Cavity |
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248 | (2) |
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9.5.2 Optical Feedback of a Two-Folded External Cavity |
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250 | (3) |
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9.5.3 Nanometer Fringes and Polarization Flipping |
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253 | (3) |
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9.6 Optical Feedback of a Microchip Nd:YAG Laser with Birefringence |
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256 | (10) |
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9.6.1 Optical Feedback of an Orthogonal Polarized Microchip Nd: YAG Laser |
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256 | (7) |
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9.6.2 Optical Feedback of the Microchip Nd: YAG Laser with a Birefringent External Cavity |
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263 | (3) |
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9.7 Conclusions on the Feedback in Orthogonally Polarized Lasers |
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266 | (3) |
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269 | (4) |
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10 Semi-classical Theory of Orthogonally Polarized Lasers |
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273 | (38) |
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10.1 Modeling of Orthogonally Polarized Lasers |
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273 | (15) |
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10.1.1 Selection of the Theoretical Model |
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273 | (2) |
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10.1.2 The Self-Consistency Equation |
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275 | (2) |
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10.1.3 Medium Polarization Coefficients of Lasers |
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277 | (6) |
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10.1.4 Modification of Medium Polarization Coefficients |
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283 | (1) |
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10.1.5 Steady State Solution of Self-Consistency Equations |
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284 | (1) |
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10.1.6 Analysis of Birefringent Zeeman Lasers |
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285 | (3) |
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10.2 Theoretical Analysis of Orthogonally Polarized Lasers |
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288 | (11) |
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10.2.1 Cavity Tuning Analysis of He-Ne Lasers Containing Single/Dual Ne Isotopes |
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288 | (5) |
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10.2.2 Analysis of Mode Locking and Mode Suppression |
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293 | (2) |
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10.2.3 Analysis of Zeeman Birefringence Lasers |
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295 | (2) |
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10.2.4 Applicability Discussion of the Vectorial Extension Model of Lamb's Semi-classical Theory |
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297 | (1) |
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298 | (1) |
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10.3 Analysis of Optical Feedback Phenomena in Birefringent Lasers |
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299 | (8) |
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10.3.1 Feedback Fringes in Moderate Optical Feedback |
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299 | (4) |
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10.3.2 Theory Model for Different Feedback Levels in Birefringent Lasers |
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303 | (2) |
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10.3.3 Conclusion and Discussion |
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305 | (2) |
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307 | (4) |
Part Four Applications Of Orthogonally Polarized Lasers |
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11 Introduction and Background of Applications |
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311 | (6) |
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11.1 Survey of the Application Potential |
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311 | (2) |
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11.2 What Is the Particularity of OPDF Laser Measurements? |
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313 | (2) |
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315 | (2) |
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12 Measurements of Optical Anisotropies by Orthogonally Polarized Lasers |
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317 | (28) |
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12.1 Phase Retardation Measurement of Wave Plates by Laser Frequency Splitting |
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318 | (15) |
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318 | (3) |
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12.1.2 Measuring Phase Retardations by Frequency Split Lasers |
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321 | (4) |
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12.1.3 Especial Issue in the Measurement of Phase Retardation of HWP and FWP |
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325 | (2) |
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12.1.4 Systematic Issues of Measuring Arbitrary Phase Retardation |
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327 | (5) |
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12.1.5 Setup and Performance of the Instrumentation System |
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332 | (1) |
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333 | (1) |
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12.2 Phase Retardation Measurements of Optical Components Based on Laser Feedback and Polarization Flipping |
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333 | (7) |
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333 | (1) |
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12.2.2 Principle of Measuring Phase Retardation Based on Polarization Flipping by Optical Feedback |
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334 | (3) |
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12.2.3 Main Measurement Techniques for Phase Retardation |
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337 | (1) |
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12.2.4 Performance and Error Analysis |
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338 | (1) |
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339 | (1) |
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12.3 Intracavity Transmission Ellipsometry for Optically Anisotropic Components |
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340 | (3) |
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12.3.1 Basic Configuration and Procedure |
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340 | (2) |
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12.3.2 Measuring Performance of Intracavity Transmission Ellipsometry and Comments |
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342 | (1) |
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343 | (2) |
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13 Displacement Measurement by Orthogonally Polarized Lasers |
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345 | (40) |
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13.1 Background and Basic Considerations |
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345 | (2) |
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13.2 Zeeman OPDF Laser Interferometer |
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347 | (3) |
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13.3 Displacement Measurement Based on Cavity Tuning of Orthogonal Polarized Lasers - OPMC Displacement Transducers |
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350 | (14) |
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13.3.1 Principle of OPMC Displacement Transducers |
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351 | (4) |
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13.3.2 OPMC Transducer with Converse Mirrors |
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355 | (4) |
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13.3.3 Half-Wavelength Subdivision Technology |
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359 | (1) |
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13.3.4 Performance of the OPMC Displacement Transducer |
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360 | (2) |
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13.3.5 Discussion and Conclusion |
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362 | (2) |
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13.4 Displacement Measurement Based on Feedback of Orthogonally Polarized Lasers |
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364 | (5) |
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364 | (1) |
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13.4.2 Measuring Principle for a Moderate Feedback B-Laser |
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365 | (2) |
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13.4.3 Experimental System and Performance |
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367 | (1) |
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13.4.4 Discussion and Conclusion |
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368 | (1) |
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13.5 Displacement Measurement Based on Feedback of the BZ-Laser |
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369 | (4) |
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13.5.1 Configuration of Displacement Measurement of the Feedback BZ-Laser |
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370 | (1) |
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13.5.2 Measurement Principle Based on the Feedback BZ-laser |
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370 | (2) |
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13.5.3 Performance of Displacement Measurement |
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372 | (1) |
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372 | (1) |
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13.6 Displacement Measurement Based on Orthogonal Polarized Feedback of Nd:YAG Lasers |
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373 | (3) |
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13.6.1 Configuration for Displacement Measurement |
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373 | (1) |
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13.6.2 Principle of Displacement Measurement |
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374 | (1) |
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13.6.3 Performance of Displacement Measurement |
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375 | (1) |
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375 | (1) |
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13.7 Microchip Nd:YAG Laser Interferometers with Quasi-Common-Path Feedback |
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376 | (6) |
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376 | (1) |
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13.7.2 Configuration of a Quasi-Common-Path Nd:YAG LFI |
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377 | (3) |
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13.7.3 Performance of Quasi-Common-Path Feedback of the Nd: YAG Laser |
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380 | (1) |
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13.7.4 Discussion and Conclusion |
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381 | (1) |
|
|
382 | (3) |
|
14 Force and Pressure Measurement by Means of Photoelastic Nd:YAG Lasers |
|
|
385 | (22) |
|
14.1 Principle and Experimental Setup of Force and Pressure Measurement |
|
|
386 | (6) |
|
14.1.1 Force to Optical Frequency Conversion |
|
|
387 | (2) |
|
14.1.2 Electronic Signal Processing |
|
|
389 | (2) |
|
14.1.3 Dynamic Frequency Response of the Laser Transducer |
|
|
391 | (1) |
|
14.2 Force Measurement: Experimental Results |
|
|
392 | (6) |
|
14.3 Pressure Measurement: Experimental Results |
|
|
398 | (2) |
|
14.3.1 Laser Microchip Pressure Transducer |
|
|
398 | (1) |
|
14.3.2 Fully Optical Pressure Measurement |
|
|
399 | (1) |
|
14.4 Advanced Studies in Force to Frequency Conversion |
|
|
400 | (3) |
|
14.4.1 Force Vector Measurement Capability of OPDF Lasers |
|
|
400 | (2) |
|
14.4.2 Optimized Design Geometry of Transducer Crystals |
|
|
402 | (1) |
|
14.5 Prospects of Laser-Based Force Measurements |
|
|
403 | (1) |
|
|
404 | (3) |
|
15 Measurements via Translation/Rotation of Intracavity Quartz Crystals |
|
|
407 | (8) |
|
15.1 Displacement Measurement by Means of an Intracavity Quartz Crystal Wedge |
|
|
407 | (2) |
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15.2 Measurement of Earth's Gravity by Means of an Intracavity Quartz Crystal Wedge |
|
|
409 | (1) |
|
15.3 Vibration Measurement by Means of an Intracavity Quartz Crystal Wedge |
|
|
410 | (2) |
|
15.4 Measuring Rotation Angles by Means of an Intracavity Quartz Crystal Plate |
|
|
412 | (2) |
|
|
414 | (1) |
|
16 Combined Magnetometer/Rate Gyro Transducers by Four-Frequency Ring Lasers |
|
|
415 | (6) |
|
16.1 Principle of the Frequency Splitting Ring Laser Weak Magnetic Field Transducer |
|
|
415 | (3) |
|
16.2 Experimental Arrangement |
|
|
418 | (1) |
|
16.3 Experimental Results and Discussions |
|
|
419 | (1) |
|
|
420 | (1) |
|
|
420 | (1) |
|
17 Further Applications of Orthogonally Polarized Lasers |
|
|
421 | (4) |
|
17.1 Tunable Signal Generation |
|
|
421 | (1) |
|
17.1.1 Tunable Optical Master Oscillators |
|
|
421 | (1) |
|
17.1.2 Frequency Doubled Lasers |
|
|
421 | (1) |
|
17.1.3 Electronic Signal Sources |
|
|
422 | (1) |
|
17.2 Polarized Lasers in Material Processing |
|
|
422 | (1) |
|
|
423 | (2) |
|
18 Conclusions of Part Four |
|
|
425 | (4) |
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18.1 Phase Retardation Measurement Applications |
|
|
425 | (1) |
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18.2 Displacement Sensing Applications |
|
|
426 | (1) |
|
18.3 Force, Pressure, and Acceleration Measurement Applications |
|
|
426 | (3) |
Index |
|
429 | |