Preface |
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ix | |
Acknowledgments |
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xv | |
Definitions |
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xvii | |
1 Inversion of Elastic-Lidar Data as an ILL-Posed Problem |
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1 | (77) |
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1.1 Recording and Initial Processing of the Lidar Signal: Essentials and Specifics, |
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1 | (10) |
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1.1.1 Lidar Equation and Real Lidar Signal: How Well Do They Match? |
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1 | (3) |
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1.1.2 Multiplicative and Additive Distortions in the Lidar Signal: Essentials and Specifics, |
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4 | (7) |
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1.2 Algorithms for Extraction of the Extinction-Coefficient Profile from the Elastic-Lidar Signal, |
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11 | (10) |
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11 | (4) |
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1.2.2 Fernald's Boundary-Point Solution, |
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15 | (1) |
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1.2.3 Optical Depth Solution, |
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16 | (2) |
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1.2.4 Implicit Premises and Mandatory Assumptions Required for Inversion of the Elastic Lidar Signal into the Atmospheric Profile, |
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18 | (3) |
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1.3 Profiling of the Optical Parameters of the Atmosphere as a Simulation Based on Past Observations, |
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21 | (10) |
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1.3.1 Definitions of the Terms, |
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21 | (3) |
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1.3.2 Random Systematic Errors in the Derived Atmospheric Profiles: Origin and Examples, |
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24 | (7) |
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1.4 Error Factor in Lidar Data Inversion, |
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31 | (10) |
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1.5 Backscatter Signal Distortions and Corresponding Errors in the Inverted Atmospheric Profiles, |
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41 | (7) |
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1.6 Determination of the Constant Offset in the Recorded Lidar Signal Using the Slope Method, |
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48 | (7) |
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1.6.1 Algorithm and Solution Uncertainty, |
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49 | (2) |
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1.6.2 Numerical Simulations and Experimental Data, |
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51 | (4) |
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1.7 Examination of the Remaining Offset in the Backscatter Signal by Analyzing the Shape of the Integrated Signal, |
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55 | (10) |
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1.8 Issues in the Examination of the Lidar Overlap Function, |
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65 | (13) |
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1.8.1 Influence of Distortions in the Lidar Signal when Determining the Overlap Function, |
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65 | (8) |
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1.8.2 Issues of Lidar Signal Inversion within the Incomplete Overlap Area, |
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73 | (5) |
2 Essentials and Issues in Separating the Backscatter and Transmission Terms in The Lidar Equation |
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78 | (110) |
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2.1 Separation of the Backscatter and Transmission Terms in the Lidar Equation: Methods and Intrinsic Assumptions, |
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78 | (11) |
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2.1.1 Inversion Algorithm for the Signals of Raman Lidar, |
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80 | (2) |
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2.1.2 Inversion Algorithm for the Signals of High Spectral Resolution Lidar (HSRL), |
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82 | (3) |
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2.1.3 Inversion Algorithm for Signals of the Differential Absorption Lidar (DIAL), |
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85 | (4) |
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2.2 Distortions in the Optical Depth and Extinction-Coefficient Profiles Derived from Raman Lidar Data, |
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89 | (11) |
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2.2.1 Distortion of the Derived Extinction Coefficient Due to Uncertainty of the Angstrom Exponent, |
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90 | (5) |
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2.2.2 Errors in the Derived Optical Depth Profile Caused by Distortions in the Raman Lidar Signal, |
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95 | (2) |
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2.2.3 Errors in the Derived Extinction-Coefficient Profile Caused by Distortions in the Raman Lidar Signal, |
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97 | (3) |
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2.3 Distortions in the Extinction-Coefficient Profile Derived from the HSRL Signal, |
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100 | (7) |
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2.4 Numerical Differentiation and the Uncertainty Inherent in the Inverted Data, |
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107 | (12) |
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107 | (4) |
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2.4.2 Nonlinear Fit in the Numerical Differentiation Technique and its Issue, |
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111 | (2) |
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2.4.3 Numerical Differentiation as a Filtering Procedure, |
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113 | (6) |
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2.5 Correction and Extrapolation Techniques for the Optical Depth Profile Derived from the Splitting Lidar Data, |
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119 | (18) |
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2.5.1 Removal of Erroneous Bulges and Concavities in the Optical Depth Profile: Merits and Shortcomings, |
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119 | (6) |
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2.5.2 Implementation of Constraints for the Maximum Range of the Shaped Optical Depth Profile, |
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125 | (4) |
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2.5.3 Modeling the Optical Parameters of the Atmosphere in the Near Zone of Lidar Searching, |
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129 | (8) |
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2.6 Profiling of the Extinction Coefficient Using the Optical Depth and Backscatter-Coefficient Profiles, |
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137 | (11) |
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2.6.1 Theoretical Basics and Methodology, |
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137 | (4) |
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2.6.2 Distortions in the Derived Particulate Extinction Coefficient Due to Inaccuracies in the Involved Parameters, |
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141 | (4) |
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2.6.3 Extraction of the Particulate Extinction Coefficient by Minimizing the Discrepancy between the Alternative Piecewise Transmittances, |
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145 | (3) |
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2.7 Profiling of the Extinction Coefficient Within Intervals Selected A Priori, |
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148 | (10) |
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2.7.1 Determination of Piecewise Continuous Profiles of the Extinction Coefficient and the Column Lidar Ratio Using Equal Length Intervals, |
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148 | (6) |
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2.7.2 Determination of the Piecewise Continuous Profiles of the Extinction Coefficient and the Column Lidar Ratio Using Range-Dependent Overlapping Intervals, |
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154 | (4) |
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2.8 Determination of the Extinction-Coefficient Profile Using Uncertainly Boundaries of the Inverted Optical Depth, |
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158 | (16) |
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2.8.1 Computational Model for Estimating the Uncertainty Boundaries in the Particulate Optical Depth Profile Extracted from Lidar Data, |
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159 | (4) |
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2.8.2 Essentials of the Data Processing Technique, |
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163 | (6) |
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2.8.3 Examples of Experimental Data obtained in the Clear Atmospheres, |
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169 | (5) |
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2.9 Monitoring the Boundaries and Dynamics of Atmospheric Layers with Increased Backscattering, |
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174 | (14) |
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175 | (2) |
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2.9.2 Determining the Boundaries of Layers Having Increased Backscattering, |
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177 | (11) |
3 Profiling of the Atmosphere with Scanning Lidar |
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188 | (72) |
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3.1 Profiling of the Atmosphere Using the Kano-Hamilton Inversion Technique, |
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188 | (11) |
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188 | (7) |
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3.1.2 Essentials and Specifics of the Methodology for Profiling of the Atmosphere with Scanning Lidar, |
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195 | (4) |
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3.2 Issues in Practical Application of the Kano-Hamilton Multiangle Inversion Technique, |
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199 | (14) |
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3.2.1 Multiplicative and Additive Distortions of the Backscatter Signal and Their Influence on the Inverted Optical Depth Profile, |
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199 | (7) |
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3.2.2 Issues and Deficiencies in the Multiangle Inversion Technique, |
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206 | (3) |
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3.2.3 Profiling of the Atmosphere Using Alternative Estimates of the Constant Offset in the Multiangle Signals, |
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209 | (4) |
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3.3 Determination of the Effective Overlap Using the Signals of the Scanning Lidar, |
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213 | (8) |
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3.3.1 Effective Overlap: Definition and the Derivation Algorithm, |
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213 | (3) |
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3.3.2 Divergence of geff(h) from q(h): Numerical Simulations and the Case Study, |
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216 | (5) |
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3.4 Profiling of the Atmosphere with Scanning Lidar Using the Alternative Inversion Techniques, |
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221 | (15) |
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3.4.1 Comparison of the Uncertainty in the Backscatter Coefficient and the Optical Depth Profiles Extracted from the Signals of the Scanning Lidar, |
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221 | (3) |
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3.4.2 Extraction of the Vertical Extinction Coefficient by Equalizing Alternative Transmittance Profiles in the Fixed Slope Direction: Basics, |
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224 | (1) |
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3.4.3 Equalizing Alternative Transmittance Profiles along a Fixed Slope Direction: Numerical Simulations, |
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225 | (5) |
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3.4.4 Essentials and Issues of the Practical Application of the Piecewise Inversion Technique, |
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230 | (6) |
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3.5 Direct Multiangle Solution, |
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236 | (13) |
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3.5.1 Essentials of the Data Processing, |
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236 | (5) |
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3.5.2 Selection of the Maximum Range for the Multiangle Lidar Signals, |
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241 | (6) |
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3.5.3 Direct Solution for High Spectral Resolution Lidar Operating in Multiangle Mode, |
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247 | (2) |
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3.6 Monitoring Boundaries of the Areas of Increased Backscattering with Scanning Lidar, |
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249 | (11) |
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3.6.1 Images of Scanning Lidar Data and their Quantification, |
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249 | (4) |
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3.6.2 Determination of the Upper Boundary of Increased Backscattering Area, |
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253 | (7) |
Bibliography |
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260 | (11) |
Index |
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271 | |