Preface |
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xiii | |
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1 Absorption Spectroscopy Of Gases |
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1 | (20) |
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1 | (1) |
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1.2 Fundamentals of Optical Absorption |
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1 | (5) |
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1.2.1 Definition of Parameters |
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1 | (2) |
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1.2.2 Absorption Lineshape Functions |
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3 | (3) |
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1.3 Extraction of Gas Parameters from Absorption Line Measurements |
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6 | (1) |
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1.4 Absorption Spectra of Gases |
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7 | (11) |
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1.4.1 Rotational Lines of Gases |
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7 | (2) |
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1.4.2 Vibrational Lines of Gases |
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9 | (3) |
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1.4.3 Rovibrational Lines |
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12 | (1) |
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1.4.4 Examples of Gas Absorption Spectra |
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13 | (5) |
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1.5 Relative Merits of Near-IR and Mid-IR Absorption Spectroscopy |
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18 | (1) |
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19 | (1) |
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19 | (2) |
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2 Dfb Lasers For Near-Ir Spectroscopy |
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21 | (32) |
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21 | (1) |
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2.2 Structure of DFB Lasers |
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21 | (2) |
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2.3 Application of DFB Lasers in Tunable Diode Laser Spectroscopy |
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23 | (2) |
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2.4 Thermal Tuning and Modulation |
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25 | (6) |
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2.4.1 RC Thermal Model of Laser Diode |
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25 | (2) |
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27 | (1) |
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2.4.3 Thermal Modulation of the Optical Frequency |
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27 | (3) |
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2.4.4 1-D Thermal Model from Heat Conduction Equation |
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30 | (1) |
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2.5 Intensity and Frequency Modulation from Carrier Effects |
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31 | (6) |
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2.5.1 Steady-State DC Analysis |
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33 | (2) |
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2.5.2 Perturbation Analysis for Effects of Current Modulation |
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35 | (2) |
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2.6 Combined Carrier and Thermal Effects |
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37 | (1) |
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2.7 Measurement of DFB Laser Characteristics |
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38 | (4) |
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42 | (2) |
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Appendix 2.1 Analytical 1-D Thermal Model of a Diode Laser |
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44 | (3) |
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Appendix 2.2 Perturbation Analysis of the Laser Rate Equations |
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47 | (3) |
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50 | (3) |
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3 Wavelength Modulation Spectroscopy With Dfb Lasers |
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53 | (32) |
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53 | (1) |
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3.2 Techniques for Gas Absorption Spectroscopy |
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53 | (3) |
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3.3 Theoretical Description of Wavelength Modulation Spectroscopy |
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56 | (9) |
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3.3.1 Harmonic Signals Arising from WMS |
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56 | (5) |
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3.3.2 The First Harmonic Signal |
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61 | (2) |
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3.3.3 The Second Harmonic Signal |
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63 | (1) |
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3.3.4 Effect of a Non-Linear LI Curve |
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63 | (2) |
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3.4 Use of the Intensity Modulation of the Laser Output for Gas Measurements |
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65 | (7) |
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3.4.1 Lock-In Measurements from Both Axes |
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67 | (1) |
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3.4.2 Approximations for Higher Modulation Indices |
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68 | (2) |
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3.4.3 Elimination of the Background Intensity Modulation |
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70 | (2) |
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3.5 Use of WMS Harmonics for Gas Measurements |
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72 | (5) |
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3.5.1 The 2f/1f Technique |
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73 | (3) |
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3.5.2 The 1f/1fx Technique |
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76 | (1) |
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3.6 Comparison of Methods |
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77 | (2) |
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79 | (1) |
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Appendix 3.1 Approximations for Fourier Coefficients from a Taylor Series Expansion |
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80 | (2) |
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Appendix 3.2 Fourier Coefficients for Non-Linear Absorption |
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82 | (1) |
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83 | (2) |
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4 Photoacoustic Spectroscopy With Dfb Sources |
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85 | (26) |
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85 | (1) |
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4.2 Fundamentals of Photoacoustic Spectroscopy |
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85 | (8) |
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4.2.1 Theoretical Description |
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85 | (2) |
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4.2.2 Non-Resonant Solution |
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87 | (1) |
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4.2.3 Acoustic Resonant Modes of Cells |
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88 | (2) |
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4.2.4 Excitation of Resonant Modes by Intensity Modulation |
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90 | (2) |
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4.2.5 Photoacoustic Signal with a DFB Laser Source |
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92 | (1) |
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4.3 Design of Photoacoustic Cells |
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93 | (8) |
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4.3.1 Open-Ended Resonators |
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93 | (5) |
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4.3.2 Miniaturised Open-Ended Resonators |
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98 | (1) |
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4.3.3 Azimuthal and Radial Modes in Closed Cells |
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98 | (3) |
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4.4 Detection, Calibration and Noise in PAS Systems |
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101 | (3) |
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4.5 Quartz-Enhanced Photoacoustic Spectroscopy |
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104 | (1) |
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105 | (1) |
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Appendix 4.1 Derivation of the Amplitudes of the Acoustic Eigenmodes |
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106 | (2) |
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Appendix 4.2 Derivation of the Heat Generation Function with a Modulated DFB Laser |
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108 | (1) |
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109 | (2) |
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5 Design And Application Of Dfb Laser Systems And Optical Fibre Networks For Near-Ir Gas Spectroscopy |
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111 | (48) |
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111 | (1) |
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5.2 Gas Cells for DFB Lasers and Optical Fibre Systems |
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111 | (5) |
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5.2.1 Bulk and Multi-Pass Cells |
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112 | (1) |
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113 | (1) |
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5.2.3 Etalon Fringe Reduction |
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114 | (2) |
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5.3 High-Finesse Cells for Sensitivity Enhancement |
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116 | (10) |
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5.3.1 Ring-Down Spectroscopy |
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117 | (2) |
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5.3.2 Cavity-Enhanced Spectroscopy |
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119 | (2) |
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5.3.3 Off-Axis Cavity-Enhanced Spectroscopy |
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121 | (3) |
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5.3.4 Optical Feedback Cavity-Enhanced Spectroscopy |
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124 | (1) |
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5.3.5 Noise-Immune Cavity-Enhanced Optical Heterodyne Molecular Spectroscopy |
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125 | (1) |
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5.4 Optical Fibre and Waveguide Gas Cells |
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126 | (6) |
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5.4.1 Evanescent-Wave Cells |
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126 | (5) |
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5.4.2 Micro-Structured Optical Fibre Gas Cells |
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131 | (1) |
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5.5 Fibre Optic Gas Sensor Networks |
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132 | (6) |
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5.5.1 Multi-Point Gas Sensor Network with Spatial-Division Multiplexing |
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132 | (3) |
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5.5.2 Multi-Point Gas Sensor Network with Time-Division Multiplexing |
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135 | (1) |
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5.5.3 Multi-Point Gas Sensor Network with FMCW Multiplexing |
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136 | (2) |
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5.6 Open-Path and Free-Space Systems |
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138 | (5) |
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5.6.1 Detection and Imaging of Gas Leaks |
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138 | (1) |
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5.6.2 Combustion Analysis and Emissions Monitoring |
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139 | (1) |
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5.6.3 Tomographic Imaging of Emissions and Combustion Processes |
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140 | (1) |
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5.6.4 Atmospheric Sensing and Monitoring |
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141 | (2) |
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5.7 Further Information on Near-IR Gas Sensing and Applications |
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143 | (1) |
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143 | (2) |
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Appendix 5.1 Evanescent-Wave Interaction |
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145 | (3) |
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Appendix 5.2 Photodiode Receiver Circuit and Signal-to-Noise Ratios |
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148 | (5) |
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153 | (6) |
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6 Principles Of Fibre Amplifiers And Lasers For Near-Ir Spectroscopy |
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159 | (39) |
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159 | (1) |
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6.2 Rare Earth Elements for Fibre Amplifiers and Lasers |
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159 | (2) |
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6.3 Spectral Characteristics of Erbium-Doped Fibre |
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161 | (5) |
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6.3.1 Energy Levels of Erbium Ions in Erbium-Doped Fibre |
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161 | (2) |
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6.3.2 Absorption and Emission Properties of Rare-Earth-Doped Fibre |
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163 | (3) |
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6.4 Principles of Operation of Fibre Amplifiers and Lasers |
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166 | (6) |
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6.4.1 Atomic Rate Equation for Fibre Amplifiers |
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167 | (2) |
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6.4.2 Cavity and Atomic Rate Equations for Fibre Lasers |
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169 | (3) |
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6.5 Regimes of Operation of Fibre Lasers |
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172 | (11) |
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172 | (5) |
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6.5.2 Transient Operation |
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177 | (4) |
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6.5.3 Multi-Wavelength Operation |
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181 | (1) |
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6.5.4 Mode-Locked Operation |
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182 | (1) |
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6.6 Raman Fibre Amplifiers and Lasers |
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183 | (2) |
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185 | (1) |
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Appendix 6.1 Einstein Relations and the Absorption and Emission Cross-Sections |
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186 | (4) |
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Appendix 6.2 McCumber Relationship for the Absorption and Emission Cross-Sections |
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190 | (3) |
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Appendix 6.3 Atomic Rate Equation for Rare-Earth-Doped Fibre |
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193 | (2) |
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195 | (3) |
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7 Applications Of Fibre Amplifiers And Lasers In Spectroscopy |
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198 | (34) |
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198 | (1) |
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7.2 Basic Applications as Amplifiers or Sources in Near-IR Spectroscopy |
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198 | (5) |
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7.2.1 Applications of Fibre Amplifiers in Near-IR Absorption Spectroscopy |
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198 | (2) |
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7.2.2 Fibre Laser Sources for Near-IR Absorption Spectroscopy |
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200 | (3) |
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7.3 Frequency Comb Spectroscopy with Mode-Locked Fibre Lasers |
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203 | (12) |
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7.3.1 Generation of Frequency Combs |
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205 | (3) |
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7.3.2 Interrogation of Absorption Lines by Frequency Combs |
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208 | (1) |
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7.3.3 Dual-Comb Frequency Spectroscopy |
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208 | (4) |
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7.3.4 Cavity-Enhanced Dual-Comb Spectroscopy |
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212 | (1) |
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7.3.5 Applications of Fibre Laser Combs for Spectroscopy |
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213 | (2) |
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7.4 Ring-Down Spectroscopy with Passive and Active Fibre Cavities |
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215 | (4) |
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7.5 CW Fibre Lasers with an Intra-Cavity Gas Cell |
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219 | (5) |
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7.6 Intra-Cavity Laser Absorption Spectroscopy with Fibre Lasers |
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224 | (4) |
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228 | (1) |
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228 | (4) |
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8 Mid-Ir Systems And The Future Of Gas Absorption Spectroscopy |
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232 | (23) |
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232 | (1) |
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233 | (11) |
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8.2.1 Mid-IR Diode Laser Sources |
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233 | (3) |
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8.2.2 Mid-IR Fibre Laser Sources |
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236 | (2) |
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8.2.3 Mid-IR Sources Based on Near-IR Down-Conversion |
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238 | (3) |
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241 | (3) |
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8.3 Mid-IR Spectroscopy Techniques |
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244 | (3) |
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8.3.1 Wavelength Modulation Spectroscopy (WMS) in the Mid-IR |
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245 | (1) |
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8.3.2 Cavity-Enhanced Absorption Spectroscopy (CEAS) in the Mid-IR |
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245 | (1) |
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8.3.3 Evanescent-Wave Spectroscopy in the Mid-IR |
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246 | (1) |
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8.3.4 Photoacoustic Spectroscopy in the Mid-IR |
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246 | (1) |
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8.4 Mid-IR Materials and Fibres |
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247 | (2) |
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249 | (1) |
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8.6 Near-IR and Mid-IR Gas Spectroscopy: Future Prospects |
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250 | (1) |
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250 | (5) |
Index |
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