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Chapter 1. Radio Occultation Using Earth Satellites Background and Overview. |
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1.2 Information Content in GPS Occultation. |
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1.3 Scientific Applications of GPS Occultation Observations. |
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1.4 Problems from Multipath and Some Remedies. |
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1.6 Limitations and Simplifications. |
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1.7 Recommendations for the Next Chapters. |
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Chapter 2. Scattering of Electromagnetic Waves from a Spherical Boundary Using a Thin Phase Screen Model and Scalar Diffraction Theory. |
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2.2 Geometric Optics in a Spherical Medium. |
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2.3 Thin Phase Screen Models. |
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2.4 Multipath Using a Thin Phase Screen Model. |
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2.5 Scalar Diffraction: The Rayleigh-Sommerfeld Integral. |
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2.6 The Stationary-Phase Technique. |
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2.7 Numerical Results Using Thin Screen/Scalar Diffraction. |
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2.8 Sensing Boundary in the Ionosphere. |
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2.9 The Error in the Recovered Refractivity Resulting from Fresnel Phase Perturbations. |
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2.10 Fresnel Transform Techniques. |
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Chapter 3. Scattering from a Large Transparent Sphere Based on Maxwell’s Equations: Mie Scattering Theory. |
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3.3 Multiple Internal Reflections. |
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3.4 Fresnel Formulas for Reflection and Transmission Amplitudes. |
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3.5 Mie Scattering Theory: Obtaining the Scattering Coefficients at a Boundary. |
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3.6 The Problem of Slow Convergence. |
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3.7 The Sommerfeld-Watson Transformation. |
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3.8 Evaluating Scattering Coefficients with Asymptotic Expansions. |
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3.9 Expressing Scattering Coefficients in Terms of Phasors. |
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3.10 Asymptotic Forms for the Hankel and Legendre Functions Evaluated at the LEO. |
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3.11 Geometric Optics Interpretation of Mie Scattering Theory. |
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3.12 Evaluating Mie Scattering by Integration of the Scattering Phasor. |
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3.13 Interpreting Scattering Using the Stationary-Phase Technique. |
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3.14 Duality Between Stationary-Phase Concepts in Electrodynamics and in Geometric Optics. |
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3.15 Diffraction from a Large, Transparent, Refracting Sphere Using Mie Scattering Theory. |
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3.16 Looking for Rainbows. |
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Chapter 4. Wave Propagation in a Stratified Medium: The Thin-Film Approach. |
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4.3 The Characteristic Matrix. |
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4.4 The Stratified Medium as a Stack of Discrete Layers. |
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4.5 The Characteristic Matrix for an Airy Layer. |
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4.6 Incoming and Outgoing Waves and Their Turning Points. |
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4.7 Concatenated Airy Layers. |
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4.8 Osculating Parameters. |
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4.9 Airy Functions as Basis Functions. |
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4.10 Wave Propagation in a Cylindrical Stratified Medium. |
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4.11 Wave Propagation in a Spherical Stratified Medium. |
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4.12 Correspondence Between Characteristic Matrices for Cartesian and Spherical Stratified Airy Layers. |
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Chapter 5. Propagation and Scattering in a Spherical-Stratifield Refracting Medium. |
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5.2 Maxwell’s Equations in a Stratified Linear Medium. |
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5.3 Modified Spherical Bessel Functions. |
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5.5 Modified Mie Scattering in a Spherical Stratified Medium. |
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5.6 More Geometric Optics: Cumulative Bending Angle, Bouguer’s Law, and Defocusing. |
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5.7 More Asymptotic Forms. |
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5.8 Spectral Representation of an Electromagnetic Wave in a Spherical Stratified Medium. |
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5.9 Interpreting Wave Theory in a Refracting Medium Using the Stationary Phase Technique. |
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5.10 Comparison of Geometric Optics and Wave Theory. |
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5.11 The Electric Field at a Turning Point. |
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5.12 Caustics and Multipath. |
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5.13 Spectral Coefficients in a Spherical Refracting Medium with an Embedded Discontinuity. |
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5.14 The Scattered Field from a Perfectly Reflecting Sphere Embedded in a Refracting Medium. |
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Chapter 6. The Inverse Problem: Using Spectral Theory to Recover the Atmospheric Refractivity Profile. |
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6.2 GPS Receiver Operations. |
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6.3 Spectral Representation of the Field of the LEO. |
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6.4 Refractivity Recovery. |
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