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1 | (6) |
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7 | (8) |
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2.1 Systems Engineering and Integrated Modeling |
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7 | (2) |
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2.2 Integrated Modeling Objectives |
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9 | (2) |
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11 | (4) |
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15 | (30) |
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3.1 Brief Introduction to Linear Algebra |
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15 | (4) |
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3.2 Eigenvalues and Eigenmodes |
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19 | (1) |
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3.3 Singular Value Decomposition |
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20 | (2) |
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3.4 Coordinate Transformations |
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22 | (1) |
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3.5 Least-Squares Fitting |
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23 | (3) |
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3.6 Orthogonal Polynomials |
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26 | (5) |
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26 | (3) |
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3.6.2 Karhunen-Loeve Expansion |
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29 | (2) |
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31 | (3) |
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34 | (11) |
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34 | (2) |
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3.8.2 Controllability and Observability |
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36 | (1) |
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3.8.3 Transfer Functions from State-Space Models |
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37 | (2) |
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3.8.4 State-space Models from Transfer Functions |
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39 | (6) |
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4 Fourier Transforms and Interpolation |
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45 | (32) |
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45 | (20) |
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4.1.1 Continuous Fourier Transforms |
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45 | (4) |
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4.1.1.1 Linear Shift Invariant Systems |
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49 | (2) |
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4.1.1.2 Sampling and Truncation |
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51 | (7) |
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4.1.2 Discrete Fourier Transform |
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58 | (7) |
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65 | (12) |
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66 | (2) |
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4.2.2 Interpolation Kernels |
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68 | (3) |
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4.2.3 Discrete Convolution |
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71 | (3) |
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4.2.4 Frequency Domain Operations |
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74 | (3) |
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5 Telescopes and Interferometers |
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77 | (88) |
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77 | (15) |
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5.1.1 General Telescope Concepts |
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77 | (4) |
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5.1.2 A Large Optical Telescope: Grantecan |
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81 | (4) |
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5.1.3 A Large Radio Telescope: LMT |
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85 | (2) |
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5.1.4 Combining Telescopes into Interferometers |
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87 | (2) |
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5.1.5 Trends in Telescope Design |
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89 | (1) |
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89 | (2) |
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91 | (1) |
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92 | (12) |
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5.2.1 Optical Design Parameters |
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92 | (5) |
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97 | (7) |
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104 | (11) |
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104 | (3) |
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107 | (4) |
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111 | (2) |
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113 | (2) |
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5.4 Main Telescope Servos |
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115 | (13) |
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5.4.1 Main Axes Servomechanisms |
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115 | (3) |
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5.4.2 Locked Rotor Resonance Frequency |
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118 | (10) |
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5.5 Wavefront Control Concepts |
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128 | (27) |
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129 | (2) |
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131 | (2) |
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133 | (5) |
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138 | (1) |
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5.5.4.1 Shack-Hartmann Wavefront Sensor |
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139 | (4) |
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5.5.4.2 Pyramid Wavefront Sensor |
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143 | (1) |
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5.5.4.3 Curvature Wavefront Sensor |
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144 | (3) |
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147 | (2) |
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149 | (1) |
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150 | (3) |
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5.5.8 Reconstructors and Filters |
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153 | (2) |
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155 | (10) |
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165 | (62) |
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6.1 Electromagnetic Field Model |
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166 | (2) |
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6.2 Geometrical Optics Modeling |
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168 | (17) |
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6.2.1 Eikonal Equation and Optical Pathlength |
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168 | (1) |
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6.2.2 Ray Equation and Optical Pathlength |
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169 | (5) |
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6.2.3 Optical Path Difference |
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174 | (1) |
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6.2.4 Transport Equation and Amplitude |
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175 | (1) |
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175 | (2) |
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6.2.6 General Ray Tracing |
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177 | (6) |
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6.2.7 Sensitivity Matrices |
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183 | (2) |
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6.3 Physical Optics Modeling |
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185 | (20) |
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6.3.1 Diffraction and Interference |
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186 | (1) |
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6.3.2 Rayleigh-Sommerfeldt Diffraction Integral |
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187 | (1) |
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6.3.3 Fresnel Diffraction |
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188 | (2) |
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6.3.4 Fraunhofer Diffraction |
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190 | (1) |
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6.3.5 Numerical Implementation |
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191 | (10) |
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6.3.6 Coherence and Incoherence |
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201 | (1) |
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6.3.7 Point Spread Function and Optical Transfer Function |
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202 | (3) |
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6.4 Building a Model: Optics |
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205 | (8) |
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6.4.1 Summary of Optical Propagation Models |
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206 | (2) |
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6.4.2 Modeling an Optical Telescope |
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208 | (1) |
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208 | (3) |
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211 | (2) |
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213 | (14) |
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6.5.1 Radio Telescope Optics |
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213 | (6) |
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6.5.2 Modeling of Radio Telescope Optics |
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219 | (8) |
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227 | (26) |
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228 | (1) |
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228 | (9) |
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7.2.1 Blackbody Radiation |
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228 | (2) |
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230 | (5) |
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235 | (2) |
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237 | (6) |
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238 | (3) |
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7.3.2 Atmospheric Refraction |
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241 | (2) |
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243 | (4) |
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247 | (2) |
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7.6 Building a Model: Radiometry |
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249 | (4) |
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253 | (56) |
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8.1 Finite Element Modeling |
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253 | (22) |
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8.1.1 Modeling Principles |
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254 | (2) |
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256 | (3) |
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259 | (3) |
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262 | (1) |
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8.1.4.1 Boundary Conditions |
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263 | (1) |
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8.1.4.2 Eigenfrequencies and Eigenmodes |
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263 | (2) |
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265 | (1) |
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8.1.4.4 Modal Representation |
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266 | (1) |
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8.1.4.5 Generalized Coordinates |
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267 | (1) |
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268 | (7) |
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8.2 State-space Models of Structures |
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275 | (4) |
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279 | (23) |
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8.3.1 Static Condensation |
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281 | (3) |
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284 | (1) |
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8.3.3 Dynamic Condensation |
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285 | (1) |
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286 | (6) |
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8.3.5 Balanced Model Reduction |
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292 | (2) |
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8.3.6 Krylov Subspace Technique |
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294 | (3) |
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8.3.7 Component Mode Synthesis |
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297 | (5) |
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8.4 Stitching Models Together |
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302 | (3) |
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8.5 SISO Structure Models |
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305 | (2) |
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8.6 Thermoelastic Modeling of Structures |
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307 | (2) |
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9 Modeling of Servomechanisms |
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309 | (8) |
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9.1 Model of a Generic Servomechanism |
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311 | (3) |
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9.2 State-Space Models of Generic Servomechanisms |
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314 | (3) |
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10 Modeling of Wavefront Control Systems |
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317 | (70) |
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317 | (9) |
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10.1.1 Shack-Hartmann Wavefront Sensors |
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318 | (1) |
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10.1.1.1 Wavefront Grid, Subaperture Grid and Pixel Grid |
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318 | (1) |
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10.1.1.2 Subaperture Models |
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319 | (4) |
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10.1.2 Pyramid Wavefront Sensors |
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323 | (1) |
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10.1.3 Curvature Wavefront Sensors |
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324 | (2) |
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326 | (7) |
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327 | (1) |
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328 | (1) |
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329 | (4) |
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333 | (22) |
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10.3.1 Principles and Control Algorithms |
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333 | (9) |
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10.3.2 Rigid-Body Motion of Stiff Segments |
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342 | (6) |
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10.3.3 Optical Performance |
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348 | (1) |
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10.3.3.1 Analytical Model |
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349 | (3) |
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352 | (3) |
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355 | (8) |
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363 | (1) |
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363 | (5) |
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10.6.1 Conversion to Photon Rate |
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363 | (1) |
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364 | (1) |
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10.6.2.1 Charge Collection |
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365 | (1) |
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366 | (1) |
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366 | (1) |
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366 | (1) |
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366 | (1) |
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367 | (1) |
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10.6.3.4 Quantization Noise |
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367 | (1) |
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10.6.4 Building a Model: Detector Noise |
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367 | (1) |
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10.7 Reconstructor and Controller for Adaptive Optics |
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368 | (13) |
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369 | (1) |
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369 | (2) |
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10.7.1.2 Reconstructor algorithms |
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371 | (5) |
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376 | (5) |
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10.8 Building a Model: Adaptive Optics |
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381 | (6) |
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387 | (90) |
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11.1 Noise Characterization |
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387 | (7) |
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389 | (5) |
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394 | (28) |
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11.2.1 Mean Wind Velocity |
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395 | (1) |
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396 | (4) |
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400 | (1) |
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11.2.3.1 Pre-calculated Wind Time Series |
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400 | (4) |
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11.2.3.2 Two-Dimensional Wind Screen |
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404 | (3) |
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11.2.3.3 Autoregressive Filters |
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407 | (3) |
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11.2.4 Loads on Structures |
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410 | (6) |
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11.2.5 Building a Model: Wind Effects |
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416 | (6) |
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422 | (1) |
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423 | (6) |
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429 | (8) |
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437 | (40) |
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11.6.1 Atmospheric Turbulence |
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437 | (1) |
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11.6.1.1 Refractive Index Structure Function |
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438 | (2) |
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11.6.1.2 Atmospheric Layers |
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440 | (2) |
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11.6.1.3 Wind Speed Profile |
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442 | (1) |
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11.6.2 Optical Effects and Characteristic Parameters |
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443 | (1) |
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11.6.2.1 Phase Structure Function and Power Spectrum |
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444 | (1) |
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11.6.2.2 Optical Transfer Function |
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445 | (4) |
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11.6.2.3 Characteristic Parameters |
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449 | (2) |
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451 | (2) |
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453 | (2) |
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11.6.3.1 Phase Screen Generation |
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455 | (14) |
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11.6.3.2 Propagation Through the Atmosphere |
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469 | (2) |
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471 | (2) |
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11.6.3.4 Checking the Implementation |
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473 | (4) |
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12 Model Implementation and Analysis |
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477 | (32) |
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12.1 Building a Model: Global System |
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477 | (4) |
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481 | (2) |
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483 | (2) |
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12.4 Ordinary Differential Equation Solvers |
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485 | (8) |
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486 | (3) |
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489 | (4) |
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12.5 Sparse Matrix Methods |
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493 | (1) |
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12.6 Model Verification and Validation |
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494 | (15) |
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12.6.1 Comparison with Discipline Models |
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495 | (1) |
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12.6.2 Modal Testing of Structures |
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495 | (9) |
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504 | (3) |
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507 | (2) |
References |
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509 | (24) |
Index |
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533 | |