Preface |
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xi | |
Acknowledgments |
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xv | |
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Chapter 1 Introductory Material |
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1 | (30) |
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1.1 Brief History of Radio Astronomy |
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2 | (2) |
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1.2 Some Fundamentals of Radio Waves |
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4 | (6) |
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1.2.1 Electromagnetic Radiation |
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4 | (3) |
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7 | (3) |
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1.3 Finding Our Way in the Sky |
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10 | (11) |
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1.3.1 Sky Coordinate System: Right Ascension and Declination |
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10 | (3) |
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1.3.2 Observer-Centered Definitions |
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13 | (4) |
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17 | (4) |
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1.4 Basic Structure of a Traditional Radio Telescope |
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21 | (4) |
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1.4.1 Parabolic Reflector |
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21 | (1) |
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22 | (2) |
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1.4.3 Feeds, Receivers, and Computer |
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24 | (1) |
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25 | (3) |
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28 | (3) |
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Chapter 2 Introduction to Radiation Physics |
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31 | (44) |
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2.1 Measures of the Amount of Radiation |
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31 | (9) |
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2.1.1 Total Energy Emitted |
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31 | (1) |
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32 | (1) |
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32 | (1) |
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33 | (2) |
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35 | (5) |
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2.1.6 Relation between Intensity and the Electric Field and Magnetic Field Waves |
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40 | (1) |
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40 | (12) |
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2.3 Rayleigh-Jeans Approximation |
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52 | (2) |
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2.4 Brightness Temperature |
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54 | (2) |
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56 | (4) |
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2.6 Interference of Light |
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60 | (2) |
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2.7 POLARIZATION OF RADIATION |
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62 | (9) |
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67 | (4) |
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71 | (4) |
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Chapter 3 Radio Telescopes |
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75 | (52) |
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3.1 Radio Telescope Reflectors, Antennas, and Feeds |
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76 | (18) |
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76 | (4) |
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80 | (5) |
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3.1.3 Feeds and Primary Reflector Illumination |
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85 | (4) |
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89 | (3) |
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3.1.5 Beam Pattern Revisited |
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92 | (2) |
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94 | (8) |
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95 | (1) |
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3.2.2 Front-End Receiver Components |
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96 | (4) |
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3.2.3 Back-End Receiver Components |
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100 | (2) |
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3.2.4 High-Frequency Heterodyne Receivers |
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102 | (1) |
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3.3 Noise, Noise Temperature, and Antenna Temperature |
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102 | (7) |
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109 | (1) |
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110 | (6) |
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3.5.1 Filter Bank Spectrometer |
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110 | (2) |
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3.5.2 Digital Spectrometers |
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112 | (4) |
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3.6 Very Low-Frequency Radio Astronomy |
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116 | (8) |
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3.6.1 Low-Frequency Window |
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116 | (1) |
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116 | (5) |
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121 | (2) |
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3.6.4 Radio Frequency Interference |
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123 | (1) |
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124 | (3) |
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Chapter 4 Single-Dish Radio Telescope Observations |
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127 | (54) |
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4.1 Basic Measurements with a Single-Dish Telescope |
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128 | (8) |
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4.1.1 Switched Observations |
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128 | (2) |
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4.1.2 Determination of System Temperature |
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130 | (1) |
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4.1.3 Measurement of Antenna Temperature |
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131 | (1) |
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4.1.4 Uncertainty in the Measured Antenna Temperature |
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131 | (5) |
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136 | (9) |
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4.2.1 Beam Power Pattern and Antenna Solid Angle |
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137 | (1) |
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4.2.2 Main Beam and Angular Resolution |
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138 | (3) |
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4.2.3 Main Beam Efficiency |
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141 | (3) |
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4.2.4 Detected Power from Extended Sources |
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144 | (1) |
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4.3 Observing Resolved Versus Unresolved Sources |
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145 | (7) |
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145 | (1) |
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146 | (3) |
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4.3.3 Uniform Source That Fills the Sky |
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149 | (1) |
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4.3.4 Brightness Temperature versus Antenna Temperature, Beam Dilution, and Beam Filling Factor |
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150 | (2) |
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4.4 Spectral-Line Observations |
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152 | (3) |
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4.4.1 Spectral Parameters |
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152 | (2) |
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4.4.2 Frequency Switching |
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154 | (1) |
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4.5 Obtaining Radio Images |
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155 | (10) |
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4.5.1 Convolution with Beam Pattern |
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157 | (6) |
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163 | (2) |
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4.6 Calibration of a Radio Telescope |
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165 | (5) |
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4.6.1 Pointing Corrections |
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165 | (1) |
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4.6.2 Calibration of the Gain, Effective Area, and Gain Curve |
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166 | (2) |
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4.6.3 Measuring the Beam Pattern and Main Beam Efficiency |
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168 | (1) |
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4.6.4 Calculating Antenna Solid Angle and Main Beam Efficiency |
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169 | (1) |
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4.7 Telescope Sensitivity Considerations in Planning an Observation |
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170 | (3) |
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4.8 Polarization Calibration |
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173 | (3) |
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176 | (5) |
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Chapter 5 Aperture Synthesis Basics: Two-Element Interferometers |
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181 | (40) |
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5.1 Why Aperture Synthesis? |
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183 | (1) |
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5.2 Two-Element Interferometer |
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184 | (2) |
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5.3 Observations of a Single-Point Source |
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186 | (5) |
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5.3.1 Response of the Additive Interferometer |
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188 | (2) |
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5.3.2 Response of the Multiplicative Interferometer |
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190 | (1) |
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190 | (1) |
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191 | (4) |
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195 | (5) |
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5.5.1 Analysis of Visibilities for a Single-Point Source |
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198 | (2) |
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5.6 Observations of a Pair of Unresolved Sources |
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200 | (6) |
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5.7 Observations of a Single Extended Source |
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206 | (3) |
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5.8 Coherence and the Effects of Finite Bandwidth and Integration Time |
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209 | (5) |
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209 | (3) |
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212 | (2) |
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5.9 Basic Principles of Interferometry |
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214 | (2) |
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216 | (5) |
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Chapter 6 Aperture Synthesis: Advanced Discussion |
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221 | (1) |
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6.1 Cross-Correlation of Received Signals |
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222 | (2) |
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6.2 Complex-Valued Cross-Correlation |
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224 | (3) |
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6.3 Complex Correlation of a Point Source at a Single Frequency |
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227 | (1) |
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6.4 Extended Sources and the Fourier Transform |
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228 | (1) |
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6.5 Fourier Transforms for Some Common Source Shapes |
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229 | (2) |
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6.5.1 Visibility Function of a Point Source |
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230 | (1) |
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6.5.2 Visibility Function of Two Point Sources |
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230 | (1) |
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6.5.3 Visibility Function of a Gaussian Profile |
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231 | (1) |
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6.6 Three Dimensions, The Earth's Rotation, and the Complex Fringe Function |
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231 | (6) |
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6.7 Nonzero Bandwidth and Finite Integration Time |
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237 | (4) |
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6.8 Source Structure and the Visibility Function |
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241 | (8) |
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6.8.1 Sky Coordinates and the Visibility Function |
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241 | (3) |
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244 | (2) |
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6.8.3 Visibility Functions of Simple Structures |
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246 | (3) |
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6.9 The Earth's Rotation And UV Tracks |
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249 | (3) |
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6.10 Interferometers as Spatial Filters |
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252 | (6) |
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6.11 Sensitivity and Detection Limits |
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258 | (5) |
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6.11.1 Noise in a Visibility |
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259 | (1) |
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260 | (2) |
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6.11.3 Brightness Sensitivity |
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262 | (1) |
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263 | (2) |
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265 | (11) |
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6.13.1 Image Dimensions and Gridding Parameters |
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266 | (1) |
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6.13.2 Dirty Map and Dirty Beam |
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267 | (3) |
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6.13.3 Uv Weighting Schemes |
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270 | (1) |
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6.13.4 Cleaning the Map: Deconvolving the Dirty Beam |
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271 | (2) |
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6.13.5 Self-Calibration and Closure Phase and Amplitude |
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273 | (3) |
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6.14 Very Long Baseline Interferometry |
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276 | (2) |
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6.14.1 VLBI Resolution and Sensitivity |
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277 | (1) |
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6.14.2 Hardware Considerations for VLBI |
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277 | (1) |
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6.14.3 Fringe Searching or Fringe Fitting |
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278 | (1) |
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278 | (3) |
Appendix I Constants and Conversions |
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281 | (2) |
Appendix II Derivation of Beam Pattern |
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283 | (8) |
Appendix III Cross-Correlations |
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291 | (4) |
Appendix IV Complex-Exponential Form of Wave Functions |
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295 | (6) |
Appendix V Primer on Fourier Transforms, with Focus on Use in Aperture Synthesis |
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301 | (12) |
Appendix VI Convolution Theorem |
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313 | (2) |
Appendix VII Interferometer Simulation Activities |
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315 | (8) |
Index |
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323 | |
Preface |
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xi | |
Acknowledgments |
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xiii | |
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Chapter 1 Introductory Material |
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1 | (28) |
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1.1 Units and Nomenclature |
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2 | (3) |
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1.1.1 Issues with Units of Electricity and Magnetism |
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2 | (2) |
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4 | (1) |
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1.1.3 Nomenclature for Atomic Ionization States |
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5 | (1) |
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5 | (8) |
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5 | (1) |
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5 | (1) |
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6 | (2) |
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8 | (2) |
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10 | (3) |
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13 | (2) |
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1.3.1 Equatorial Coordinate System |
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13 | (2) |
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1.3.2 Galactic Coordinate System |
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15 | (1) |
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15 | (5) |
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1.4.1 Classical Doppler Effect |
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17 | (1) |
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1.4.2 Relativistic Doppler Effect |
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18 | (2) |
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1.5 Cosmological Redshift and the Expanding Universe |
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20 | (3) |
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1.6 Distance and Age Calculations |
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23 | (4) |
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27 | (2) |
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Chapter 2 Propagation of Radiation |
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29 | (18) |
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29 | (8) |
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2.1.1 Absorption of Radiation |
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29 | (3) |
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2.1.2 Emission of Radiation |
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32 | (3) |
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2.1.3 General Radiative Transfer Equation |
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35 | (2) |
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2.2 Propagation in An Ionized Medium |
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37 | (8) |
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37 | (2) |
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39 | (2) |
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41 | (4) |
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45 | (2) |
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Chapter 3 Continuum Emission Processes |
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47 | (36) |
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3.1 Radiation from Accelerated Charges |
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47 | (3) |
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50 | (17) |
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3.2.1 Blackbody Radiation |
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51 | (9) |
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3.2.2 Rayleigh-Jeans Approximation |
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60 | (2) |
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3.2.3 Brightness Temperature |
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62 | (1) |
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3.2.4 Thermal Bremsstrahlung Radiation (or Free-Free Emission) |
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63 | (4) |
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3.3 Non-Thermal Radiation |
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67 | (12) |
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3.3.1 Cyclotron Radiation |
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67 | (3) |
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3.3.2 Synchrotron Radiation by a Single Relativistic Electron |
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70 | (3) |
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3.3.3 Radiation by an Ensemble of Relativistic Electrons |
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73 | (2) |
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3.3.4 Polarization of Synchrotron Radiation |
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75 | (1) |
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3.3.5 Optical Depth Effects: Synchrotron Self-Absorption |
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76 | (3) |
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79 | (4) |
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83 | (38) |
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4.1 Emission and Absorption Lines |
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85 | (16) |
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4.1.1 Einstein Coefficients |
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85 | (1) |
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4.1.1.1 Spontaneous Emission |
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86 | (2) |
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88 | (1) |
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4.1.1.3 Stimulated Emission |
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89 | (1) |
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4.1.1.4 Absorption Coefficient |
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90 | (1) |
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4.1.1.5 Relations between the Einstein A and B Coefficients |
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91 | (1) |
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91 | (2) |
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4.1.3 Spectral Line Radiative Transfer |
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93 | (2) |
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4.1.4 Kirchhoff's Rules for Spectroscopy |
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95 | (1) |
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4.1.5 Collisional Transition Rates and Excitation Temperature |
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96 | (5) |
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101 | (17) |
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4.2.1 21-cm Spectral Line of Atomic Hydrogen |
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101 | (6) |
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4.2.2 Radio Recombination Spectral Lines |
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107 | (1) |
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4.2.3 Molecular Rotational Spectral Lines |
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108 | (10) |
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118 | (3) |
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Chapter 5 The Cold Interstellar Medium of the Milky Way |
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121 | (42) |
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5.1 21-CM Spectral Line of Atomic Hydrogen |
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124 | (13) |
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5.1.1 Observations of the 21-cm Line |
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124 | (5) |
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5.1.2 Rotation Curve of the Galaxy |
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129 | (2) |
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5.1.3 Distribution of HI in the Milky Way |
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131 | (2) |
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5.1.4 Absorption Lines - Warm and Cold Gas |
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133 | (4) |
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137 | (1) |
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5.2 Observations of the Rotational Lines of Molecules |
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137 | (16) |
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138 | (8) |
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5.2.2 Distribution of Molecular Clouds in the Galaxy |
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146 | (1) |
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5.2.3 Molecular Cloud Cores |
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147 | (5) |
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152 | (1) |
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5.3 Observations of the Thermal Emission From Dust |
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153 | (7) |
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154 | (1) |
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155 | (4) |
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5.3.3 Global Distribution of Dust |
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159 | (1) |
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160 | (3) |
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Chapter 6 HII Regions and Planetary Nebulae at Radio Wavelengths |
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163 | (28) |
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163 | (9) |
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6.1.1 Ionization Structure of HII Regions |
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164 | (5) |
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6.1.2 The Temperature of HII Regions |
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169 | (2) |
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6.1.3 Time Scales of HII Regions |
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171 | (1) |
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6.2 Radio Emission From HII Regions |
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172 | (12) |
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6.2.1 Bremsstrahlung Emission from HII Regions |
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172 | (4) |
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6.2.2 Radio Recombination Line Emission from HII Regions |
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176 | (6) |
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6.2.3 Gas Density and Temperature from RRLs: Non-Equilibrium Effects |
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182 | (2) |
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6.3 The Classification and Evolution of HII Regions |
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184 | (4) |
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6.3.1 Classification of HII Regions |
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184 | (1) |
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6.3.2 Evolution of HII Regions |
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185 | (3) |
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188 | (1) |
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189 | (2) |
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Chapter 7 Radio Emission from Stellar Objects |
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191 | (34) |
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191 | (5) |
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191 | (3) |
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7.1.2 Slowly Varying Component of the Sun |
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194 | (2) |
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196 | (1) |
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7.2 Radio Emission From Stars |
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196 | (5) |
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7.2.1 Thermal Radio Emission |
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196 | (1) |
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7.2.1.1 Main Sequence Stars |
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197 | (1) |
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7.2.1.2 Giant and Supergiant Stars |
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198 | (1) |
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7.2.2 Winds from Asymptotic Giant Branch Stars |
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199 | (1) |
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200 | (1) |
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201 | (5) |
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7.3.1 Proto-stellar Disks |
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201 | (2) |
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203 | (1) |
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204 | (2) |
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206 | (16) |
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208 | (5) |
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7.4.2 Pulsar Emission Mechanisms |
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213 | (3) |
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216 | (2) |
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218 | (1) |
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7.4.5 Radio Pulsars as Probes of the Interstellar Medium |
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218 | (2) |
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220 | (2) |
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222 | (3) |
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Chapter 8 Galaxies at Radio Wavelengths |
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225 | (32) |
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8.1 21-CM HI Observations |
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227 | (9) |
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8.1.1 HI Mass of Galaxies |
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228 | (4) |
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8.1.2 Imaging HI in Galaxies |
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232 | (4) |
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8.2 Molecular Gas IN Galaxies |
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236 | (7) |
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237 | (3) |
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8.2.2 Imaging CO in Galaxies |
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240 | (1) |
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8.2.3 Other Molecules in Galaxies |
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241 | (2) |
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8.3 Radio Continuum Emission From Galaxies |
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243 | (6) |
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244 | (3) |
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8.3.2 Long Wavelength Radio Continuum Emission |
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247 | (2) |
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249 | (5) |
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254 | (3) |
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Chapter 9 Radio Galaxies and Quasars |
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257 | (38) |
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9.1 Brief Overview of Active Galactic Nuclei |
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257 | (6) |
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263 | (5) |
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9.3 Morphologies, Sizes, and Spectra of Radio Galaxies And Quasars |
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268 | (9) |
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9.3.1 Synchrotron Spectrum from an Inhomogeneous Source |
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272 | (2) |
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9.3.2 Free-free Absorption of Synchrotron Radiation |
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274 | (2) |
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9.3.3 Inverse Compton Scattering and the Compton Limit |
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276 | (1) |
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9.4 Inferring Physical Conditions in Agn |
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277 | (13) |
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9.4.1 Spectral Index Maps |
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278 | (2) |
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280 | (6) |
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9.4.3 Magnetic Field Estimates |
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286 | (2) |
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9.4.4 Electron Cooling Timescales and the Nature of Hot Spots in Jets |
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288 | (2) |
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9.5 The Center of the Milky Way |
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290 | (1) |
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291 | (4) |
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Chapter 10 Cosmic Microwave Background |
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295 | (16) |
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295 | (2) |
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10.2 Blackbody Nature of the CMB |
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297 | (3) |
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10.3 Anisotropies in the CMB |
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300 | (4) |
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10.4 Cosmological Parameters |
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304 | (2) |
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306 | (1) |
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307 | (12) |
Appendix A Constants and Conversions |
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311 | (2) |
Appendix B Mathematica Code for Calculating Age of Universe and Distances for Given Redshift |
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313 | (2) |
Appendix C Complex-Valued Wave Functions |
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315 | (4) |
Appendix D Derivations of the Effects of Propagation of Radiation in Ionized Media |
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319 | (12) |
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D.1 Basic Equations of Electromagnetic Waves |
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319 | (2) |
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D.2 Applications to Real Media |
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321 | (4) |
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322 | (2) |
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D.2.2 The Plasma Frequency Equation |
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324 | (1) |
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D.2.3 Derivation of the Wave Velocity as a Function of Frequency and the Arrival Time of a Pulse |
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324 | (1) |
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D.3 Derivation of the Rotation Angle of Polarization in Magnetized Media |
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325 | (6) |
Appendix E Fourier Transform |
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331 | (4) |
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E.1 Mathematical Definition |
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331 | (1) |
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E.2 Example: Fourier Transform of a Gaussian Function |
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332 | (1) |
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E.3 Application to an Accelerated Charge |
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332 | (3) |
Index |
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335 | |