Preface |
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xv | |
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1 | (8) |
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9 | (13) |
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1.2.1 Waves, Harmonics, and Modes |
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11 | (1) |
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1.2.2 Frames of Reference |
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12 | (1) |
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13 | (2) |
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1.2.4 Wave Phase and Wave Speed |
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15 | (3) |
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18 | (4) |
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22 | (1) |
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22 | (4) |
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1.4 The Boussinesq Approximation |
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26 | (3) |
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29 | (2) |
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2.2 The Taylor-Goldstein Equation |
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31 | (6) |
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37 | (9) |
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2.3.1 No Background Wind Speed |
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37 | (5) |
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2.3.2 Constant Background Wind Speed |
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42 | (4) |
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2.4 The WKB or "Slowly Varying" Method |
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46 | (1) |
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47 | (10) |
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47 | (5) |
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2.5.2 Wave-Activity Conservation Laws |
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52 | (1) |
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52 | (1) |
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2.5.2.2 Pseudo-Energy and Pseudo-Momentum |
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53 | (4) |
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57 | (4) |
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3.2 Uniform Flow Over a Surface Corrugation |
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61 | (6) |
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3.3 The Two-Dimensional Mountain |
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67 | (9) |
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3.4 The Three-Dimensional Mountain |
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76 | (5) |
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3.5 Nonorographic Gravity Waves |
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81 | (6) |
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87 | (2) |
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4.2 Wave Reflection and Refraction at an Elevated Layer |
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89 | (7) |
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4.3 Wave Trapping, Energy Flux, and Wave Resonance |
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96 | (2) |
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4.4 Reflection at the Ground Surface |
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98 | (4) |
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102 | (15) |
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4.5.1 The Pure Temperature Duct |
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102 | (3) |
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105 | (4) |
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4.5.3 Wind Spirals and Ducts |
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109 | (3) |
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112 | (5) |
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5 Gravity Wave Instability and Turbulence |
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117 | (1) |
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5.2 Parcel Exchange Analysis of Flow Stability |
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118 | (3) |
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121 | (12) |
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121 | (1) |
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5.3.2 Kelvin-Helmholtz Instability |
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122 | (5) |
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5.3.3 The Stability of Shear Flows |
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127 | (1) |
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5.3.3.1 Inflection Point Instability |
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128 | (2) |
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5.3.3.2 Instability of Stratified Shear Flows |
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130 | (3) |
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133 | (7) |
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5.5 Neutral, Stable, and Unstable Modes |
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140 | (3) |
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5.6 Wave-Modulated Richardson Number |
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143 | (4) |
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5.7 Wave-Turbulence Coupling |
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147 | (4) |
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5.8 Jefferys' Roll-Wave Instability Mechanism |
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151 | (8) |
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159 | (1) |
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6.2 Mathematical Derivation |
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160 | (2) |
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6.3 Variation of Wave Stress with Height |
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162 | (2) |
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164 | (10) |
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6.4.1 Wave Stress Over a Surface Corrugation |
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164 | (2) |
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6.4.1.1 Wave Stress Over an Isolated Two-Dimensional Mountain |
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166 | (2) |
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6.4.2 Wave Stress Over Three-Dimensional Objects |
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168 | (6) |
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6.5 Secondary Effects of Wave Drag |
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174 | (7) |
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174 | (1) |
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6.5.2 Lee Wave Drag Over a Two-Dimensional Mountain |
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175 | (1) |
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6.5.3 Momentum Flux Due to Mountain Lee Waves |
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176 | (5) |
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7 Gravity Waves in the Middle and Upper Atmosphere |
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181 | (1) |
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182 | (5) |
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7.3 Interia-Gravity Waves in the Middle Atmosphere |
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187 | (3) |
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7.4 Planetary Waves in the Middle Atmosphere |
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190 | (4) |
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190 | (1) |
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7.4.2 Tropical Atmosphere |
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191 | (1) |
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7.4.2.1 Vertically Propagating Rossby-Gravity Waves |
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192 | (1) |
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193 | (1) |
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7.5 Midlatitude Wave Spectra |
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194 | (3) |
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7.5.1 High-Frequency Waves: Ω >> f |
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194 | (1) |
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7.5.2 Mid-Frequency Waves: f >> Ω >> N |
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195 | (1) |
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7.5.3 Low-Frequency Range: Ω ~ f |
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196 | (1) |
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7.6 Modeling the Gravity Wave Fluxes in the MUA |
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197 | (4) |
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7.6.1 Hydrodynamic Models |
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197 | (1) |
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197 | (4) |
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8 Wave Stress Parameterization |
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201 | (7) |
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8.1.1 Wave Breaking, Wave Saturation, and Eddy Diffusivity |
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202 | (3) |
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8.1.2 Wave Breaking Heights |
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205 | (3) |
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8.2 Wave-Saturation Parameterization |
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208 | (1) |
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8.3 Parameterization Methods |
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209 | (17) |
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209 | (1) |
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8.3.2 Lindzen-Holton Method |
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209 | (6) |
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215 | (2) |
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8.3.4 The McFarlane Method |
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217 | (4) |
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8.3.5 The Schoeberl Method |
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221 | (1) |
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8.3.6 The Terrain-Height Adjustment Scheme |
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222 | (4) |
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8.4 Saturation Limits and Other Problems |
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226 | (5) |
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9 Observations and Measurements of Gravity Waves |
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231 | (2) |
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9.2 Ground-Based Measurements |
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233 | (16) |
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234 | (1) |
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9.2.1.1 Static Pressure Ports |
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235 | (2) |
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237 | (8) |
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245 | (4) |
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9.3 Free-Balloon Soundings |
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249 | (15) |
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9.3.1 Tethered Lifting Systems |
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252 | (1) |
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9.3.2 Superpressure Balloons |
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253 | (10) |
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263 | (1) |
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264 | (15) |
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265 | (1) |
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266 | (1) |
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267 | (1) |
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268 | (2) |
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270 | (2) |
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272 | (2) |
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9.4.7 Satellites and Global Positioning Systems |
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274 | (1) |
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9.4.7.1 Photographic Analyses |
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274 | (1) |
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274 | (1) |
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9.4.7.3 GPS Radio-Occultation Sounding |
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275 | (1) |
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9.4.7.4 Microwave Limb Sounding |
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276 | (3) |
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279 | (1) |
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10.2 Analyses of Tropospheric Gravity Waves |
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280 | (23) |
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281 | (1) |
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282 | (1) |
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283 | (5) |
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10.2.4 Band-Pass Filtering |
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288 | (1) |
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289 | (2) |
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10.2.6 Cross-Correlation Lag Analysis |
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291 | (2) |
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293 | (1) |
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10.2.7.1 Beamsteering in the Slowness Domain |
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293 | (2) |
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10.2.7.2 Beamsteering in the Frequency Domain |
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295 | (1) |
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10.2.7.3 Array Response and Examples |
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296 | (1) |
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297 | (2) |
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299 | (4) |
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10.3 Gravity Wave Analyses in the MUA |
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303 | (6) |
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304 | (1) |
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10.3.2 Hodograph Analysis |
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305 | (4) |
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Appendix A The Hydrostatic Atmosphere |
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A.1 The Hydrostatic Approximation |
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309 | (1) |
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A.2 The Scale Height of the Isothermal Atmosphere |
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310 | (1) |
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310 | (1) |
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A.4 Potential Temperature |
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310 | (1) |
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311 | (1) |
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312 | (1) |
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313 | (2) |
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315 | (1) |
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A.9 The Eckman Wind Spiral |
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316 | (1) |
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317 | (6) |
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317 | (3) |
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A.10.2 Ducted Gravity Waves |
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320 | (3) |
Bibliography |
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323 | (20) |
Index |
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343 | |