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xiii | |
Preface |
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xvi | |
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PART I Principles and techniques |
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1 | (248) |
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1 General principles and characteristics of optical magnetometers |
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3 | (22) |
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3 | (5) |
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1.1.1 Fundamental sensitivity limits |
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4 | (1) |
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1.1.2 Zeeman shifts and atomic spin precession |
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5 | (3) |
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1.1.3 Quantum beats and dynamic range |
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8 | (1) |
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1.2 Model of an optical magnetometer |
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8 | (5) |
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1.3 Density matrix and atomic polarization moments |
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13 | (3) |
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1.4 Sensitivity and accuracy |
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16 | (4) |
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1.4.1 Variational sensitivity (short-term resolution) and long-term stability |
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16 | (2) |
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1.4.2 Parameter optimization |
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18 | (1) |
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1.4.3 Absolute accuracy and systematic errors |
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19 | (1) |
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1.5 Vector and scalar magnetometers |
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20 | (1) |
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21 | (4) |
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2 Quantum noise in atomic magnetometers |
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25 | (15) |
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25 | (1) |
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2.2 Spin-projection noise |
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26 | (1) |
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2.3 Faraday rotation measurements |
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26 | (1) |
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27 | (1) |
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2.5 Time correlation of spin-projection noise |
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28 | (2) |
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2.6 Conditions for spin-noise dominance |
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30 | (2) |
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2.7 Spin projection limits on magnetic field sensitivity |
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32 | (4) |
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2.8 Spin squeezing and atomic magnetometry |
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36 | (1) |
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37 | (3) |
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3 Quantum noise, squeezing, and entanglement in radiofrequency optical magnetometers |
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40 | (20) |
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40 | (3) |
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3.1.1 Atomic projection noise |
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40 | (1) |
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41 | (1) |
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3.1.3 Back-action noise and QND measurements |
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42 | (1) |
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3.1.4 Technical (classical) noise |
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42 | (1) |
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3.1.5 Entanglement and spin squeezing |
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42 | (1) |
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3.2 A pulsed radiofrequency magnetometer and the projection noise limit |
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43 | (3) |
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3.2.1 Pulsed RF magnetometry |
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44 | (1) |
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3.2.2 Sensitivity and bandwidth |
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45 | (1) |
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3.3 Light-atom interaction |
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46 | (4) |
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3.3.1 A spin-polarized atomic ensemble interacting with polarized light |
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47 | (1) |
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3.3.2 Conditional spin squeezing |
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48 | (1) |
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3.3.3 Larmor precession, back-action noise, and two atomic ensembles |
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48 | (1) |
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3.3.4 Swap and squeezing interaction |
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49 | (1) |
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3.4 Demonstration of high-sensitivity, projection-noise-limited magnetometry |
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50 | (4) |
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3.4.1 Setup, pulse sequence, and procedure |
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50 | (2) |
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3.4.2 The projection-noise-limited magnetometer |
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52 | (2) |
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3.5 Demonstration of entanglement-assisted magnetometry |
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54 | (3) |
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57 | (3) |
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4 Mx and Mz magnetometers |
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60 | (25) |
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4.1 Dynamics of magnetic resonance in an alternating field |
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60 | (3) |
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4.1.1 Bloch equations and Bloch sphere |
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60 | (2) |
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4.1.2 Types of magnetic resonance signals: Mz and Mx signals |
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62 | (1) |
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4.2 Mz and Mx magnetometers: general principles |
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63 | (10) |
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4.2.1 Advantages and disadvantages of Mz magnetometers |
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66 | (1) |
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4.2.2 Advantages and disadvantages of Mx magnetometers |
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67 | (5) |
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4.2.3 Attempts to combine advantages of Mx and Mz magnetometers: Mx-Mz tandems |
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72 | (1) |
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4.3 Applications: radio-optical Mx and Mz magnetometers |
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73 | (9) |
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4.3.1 Alkali Mz magnetometers |
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73 | (2) |
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75 | (4) |
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79 | (3) |
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4.4 Summary: Mx and Mz scheme limitations, prospects, and application areas |
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82 | (3) |
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5 Spin-exchange-relaxation-free (SERF) magnetometers |
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85 | (19) |
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85 | (1) |
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5.2 Spin-exchange collisions |
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86 | (6) |
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5.2.1 The density-matrix equation |
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86 | (4) |
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5.2.2 Simple model of spin exchange |
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90 | (2) |
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5.3 Bloch equation description |
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92 | (3) |
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5.4 Experimental realization |
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95 | (6) |
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5.4.1 Classic SERF atomic magnetometer arrangement |
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95 | (3) |
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5.4.2 Zeroing the magnetic field |
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98 | (1) |
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5.4.3 Use of antirelaxation coatings |
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98 | (1) |
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5.4.4 Comparison with SQUIDs |
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99 | (2) |
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5.5 Fundamental sensitivity |
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101 | (3) |
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6 Optical magnetometry with modulated light |
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104 | (21) |
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104 | (2) |
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6.2 Typical experimental arrangements |
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106 | (2) |
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6.3 Resonances in the magnetic field dependence |
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108 | (5) |
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6.3.1 Frequency modulation |
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108 | (3) |
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6.3.2 Amplitude modulation |
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111 | (2) |
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6.3.3 Polarization modulation |
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113 | (1) |
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6.4 Effects at high light powers |
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113 | (3) |
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6.5 Nonlinear Zeeman effect |
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116 | (2) |
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6.6 Magnetometric measurements with modulated light |
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118 | (4) |
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122 | (3) |
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7 Microfabricated atomic magnetometers |
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125 | (17) |
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125 | (1) |
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7.2 Sensitivity scaling with size |
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126 | (5) |
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131 | (2) |
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133 | (1) |
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7.5 Heating and thermal management |
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134 | (1) |
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135 | (2) |
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7.7 Applications of microfabricated magnetometers |
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137 | (2) |
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139 | (3) |
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8 Optical magnetometry with nitrogen-vacancy centers in diamond |
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142 | (25) |
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142 | (2) |
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8.1.1 Comparison with existing technologies |
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143 | (1) |
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8.2 Historical background |
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144 | (2) |
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8.2.1 Single-spin optically detected magnetic resonance |
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145 | (1) |
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146 | (6) |
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8.3.1 Intersystem crossing and optical pumping |
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146 | (2) |
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8.3.2 Ground-state level structure and ODMR-based magnetometry |
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148 | (2) |
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8.3.3 Interaction with environment |
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150 | (2) |
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8.4 Experimental realizations |
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152 | (9) |
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8.4.1 Near-field scanning probes and single-NV magnetometry |
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152 | (5) |
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8.4.2 Wide-field array magnetic imaging |
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157 | (1) |
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8.4.3 NV-ensemble magnetometers |
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158 | (3) |
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161 | (6) |
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9 Magnetometry with cold atoms |
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167 | (23) |
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167 | (1) |
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9.2 Experimental conditions |
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168 | (2) |
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9.2.1 Constraints and advantages of using cold atoms for magnetometry |
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168 | (1) |
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9.2.2 Cold samples of atoms above quantum degeneracy |
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168 | (2) |
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9.3 Linear Faraday rotation with trapped atoms |
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170 | (3) |
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9.4 Nonlinear Faraday rotation |
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173 | (3) |
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9.4.1 Low-field, DC magnetometry |
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173 | (1) |
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9.4.2 Coherence evolution |
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174 | (1) |
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9.4.3 High-field, amplitude-modulated magneto-optical rotation |
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175 | (1) |
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9.4.4 Paramagnetic nonlinear rotation |
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175 | (1) |
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9.5 Magnetometry with ultra-cold atoms |
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176 | (14) |
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9.5.1 Overview of ultra-cold atomic magnetometry methods |
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176 | (4) |
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180 | (2) |
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9.5.3 Details of spinor magnetometry |
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182 | (3) |
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9.5.4 Comparison with thermal-atom magnetometry |
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185 | (2) |
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187 | (3) |
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190 | (15) |
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190 | (1) |
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10.2 Helium magnetometer principles of operation |
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191 | (11) |
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10.2.1 Helium resonance element |
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192 | (1) |
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10.2.2 Helium optical pumping radiation sources |
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192 | (2) |
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10.2.3 Optical pumping of metastable helium |
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194 | (2) |
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10.2.4 Observation of optically pumped helium |
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196 | (1) |
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10.2.5 Observation of magnetic resonance signals in optically pumped helium |
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197 | (5) |
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202 | (3) |
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11 Surface coatings for atomic magnetometry |
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205 | (20) |
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11.1 Introduction and history |
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205 | (3) |
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11.2 Wall relaxation mechanisms |
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208 | (5) |
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11.2.1 Origin and time dependence of the disorienting interaction |
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208 | (1) |
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11.2.2 Methods of investigation |
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209 | (3) |
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11.2.3 Quantitative interpretation |
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212 | (1) |
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213 | (4) |
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11.4 Light-induced atomic desorption (LIAD) |
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217 | (2) |
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11.5 Recent characterization methods |
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219 | (6) |
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225 | (24) |
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225 | (1) |
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12.2 Ferromagnetic shielding |
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225 | (13) |
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12.2.1 Simplified estimation of ferromagnetic shielding efficiency for a static magnetic field |
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226 | (1) |
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12.2.2 Multilayer ferromagnetic shielding |
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227 | (5) |
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12.2.3 Optimization of permeability: annealing, degaussing, shaking, tapping |
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232 | (3) |
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12.2.4 Magnetic-field noise in ferromagnetic shielding |
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235 | (1) |
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12.2.5 Examples of ferromagnetic shielding systems |
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236 | (2) |
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238 | (3) |
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238 | (1) |
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12.3.2 Fabrication and the effect of an air gap |
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239 | (1) |
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240 | (1) |
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12.4 Superconducting shields |
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241 | (8) |
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242 | (1) |
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12.4.2 Materials and fabrication |
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243 | (1) |
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244 | (5) |
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249 | (88) |
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13 Remote detection magnetometry |
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251 | (14) |
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251 | (1) |
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13.2 A remotely interrogated all-optical 87Rb magnetometer |
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252 | (4) |
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13.3 Magnetometry with mesospheric sodium |
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256 | (9) |
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14 Detection of nuclear magnetic resonance with atomic magnetometers |
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265 | (20) |
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265 | (2) |
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267 | (1) |
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14.3 Challenges associated with detection of NMR using atomic magnetometers |
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268 | (1) |
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269 | (3) |
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14.5 Solenoid matching of Zeeman resonance frequencies |
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272 | (1) |
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273 | (1) |
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14.7 Nuclear quadrupole resonance |
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274 | (1) |
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14.8 Zero-field nuclear magnetic resonance |
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275 | (7) |
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14.8.1 Thermally polarized zero-field NMR J spectroscopy |
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275 | (3) |
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14.8.2 Parahydrogen-enhanced zero-field NMR |
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278 | (3) |
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14.8.3 Zeeman effects on J-coupled multiplets |
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281 | (1) |
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282 | (3) |
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285 | (18) |
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285 | (2) |
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15.1.1 Achievements of space magnetometry |
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285 | (1) |
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15.1.2 Challenges unique to space magnetometers |
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286 | (1) |
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15.1.3 Magnetic sensors used in space missions |
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287 | (1) |
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15.2 Alkali-vapor magnetometers in space applications |
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287 | (6) |
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15.2.1 Initial development of Earth's-field alkali magnetometers |
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287 | (1) |
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288 | (1) |
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15.2.3 NASA missions employing alkali-vapor magnetometers |
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289 | (4) |
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15.3 Helium magnetometers in space applications |
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293 | (10) |
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293 | (5) |
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15.3.2 Future helium space magnetometers |
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298 | (5) |
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16 Detection of biomagnetic fields |
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303 | (16) |
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16.1 Sources of biomagnetism |
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303 | (1) |
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16.2 Development of biomagnetic field detection |
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304 | (4) |
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16.3 Medical applications |
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308 | (2) |
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16.4 Magnetocardiography with atomic magnetometers |
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310 | (3) |
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16.5 Magnetoencephalography with an atomic magnetometer |
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313 | (3) |
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316 | (3) |
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17 Geophysical applications |
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319 | (18) |
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17.1 Airborne magnetometers and gradiometers |
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319 | (2) |
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17.2 Ground magnetometers/gradiometers |
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321 | (2) |
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17.3 Marine magnetometers/gradiometers |
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323 | (1) |
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17.4 Vector magnetometry with optically pumped magnetometers |
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324 | (5) |
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329 | (2) |
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17.6 Applications of magnetometers to detecting unexploded ordnance (UXO) |
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331 | (6) |
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17.6.1 Introduction to the problem |
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331 | (1) |
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17.6.2 Using magnetometers for UXO detection |
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332 | (1) |
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17.6.3 Mathematics of UXO detection |
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333 | (4) |
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337 | (69) |
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18 Tests of fundamental physics with optical magnetometers |
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339 | (30) |
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18.1 Overview and introduction |
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339 | (2) |
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18.2 Searches for permanent electric dipole moments |
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341 | (11) |
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18.2.1 Basic experimental setup for an EDM experiment |
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344 | (1) |
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18.2.2 Sensitivity to EDMs |
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345 | (1) |
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18.2.3 Electric fields and coherence times for various systems |
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346 | (3) |
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18.2.4 Magnetometry and comagnetometry in EDM experiments |
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349 | (3) |
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18.3 Anomalous spin-dependent forces |
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352 | (9) |
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352 | (3) |
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355 | (6) |
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18.4 CPT and local Lorentz invariance tests |
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361 | (3) |
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364 | (5) |
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19 Nuclear magnetic resonance gyroscopes |
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369 | (18) |
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369 | (4) |
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19.2 NMR frequency shifts and relaxation |
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373 | (6) |
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374 | (1) |
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19.2.2 Quadrupole surface frequency shifts |
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375 | (2) |
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19.2.3 General wall relaxation |
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377 | (1) |
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19.2.4 Magnetic-field gradients |
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377 | (1) |
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19.2.5 Noble-gas self-relaxation |
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378 | (1) |
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19.3 Alkali shifts and relaxation mechanisms |
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379 | (1) |
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19.4 Two-spin NMR gyroscope |
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379 | (2) |
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381 | (2) |
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383 | (1) |
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383 | (4) |
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20 Commercial magnetometers and their application |
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387 | (19) |
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387 | (1) |
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388 | (10) |
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388 | (3) |
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391 | (1) |
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391 | (1) |
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20.2.4 Sample rate and cycle time |
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392 | (1) |
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392 | (1) |
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20.2.6 Absolute error and drift |
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393 | (1) |
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20.2.7 Gradient tolerance |
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394 | (1) |
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395 | (1) |
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395 | (2) |
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20.2.10 Range of measurement |
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397 | (1) |
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20.3 History of commercial magnetometry |
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398 | (5) |
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20.3.1 Fluxgate magnetometers |
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398 | (1) |
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20.3.2 SQUID magnetometers |
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399 | (1) |
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20.3.3 Proton-precession and Overhauser magnetometers |
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399 | (2) |
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20.3.4 Alkali metal magnetometers: rubidium, cesium, and potassium |
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401 | (1) |
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20.3.5 Helium-3 and helium-4 magnetometers |
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402 | (1) |
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20.4 Military applications |
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403 | (1) |
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20.5 Anticipated improvements |
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404 | (2) |
Index |
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406 | |