Radio occultations using earth satellites : a wave theory treatment / William G. Melbourne
- Author
- Melbourne, William G., 1930-
- Published
- Hoboken, N.J. : Wiley-Interscience, [2005]
- Copyright Date
- ©2005
- Physical Description
- xxiv, 647 pages : illustrations ; 25 cm.
- Series
- Contents
- SCATTERING OF ELECTROMAGNETIC WAVES FROM A SPHERICAL BOUNDARY USING A THIN PHASE SCREEN MODEL AND SCALAR DIFFRACTION THEORY: Geometric optics in a spherical medium -- Thin phase screen models -- Multipath using a thin phase screen model -- Scalar diffraction: the Rayleigh-Sommerfeld integral -- The stationary-phase technique -- Numerical results using thin-screen/scalar diffraction -- Sensing a boundary in the ionosphere -- The error in the recovered refractivity resulting from fresnel phase perturbations -- Fresnel transform techniques -- SCATTERING FROM A LARGE TRANSPARENT SPHERE BASED ON MAXWELL'S EQUATIONS: MIE SCATTERING THEORY: Scalar potentials -- Multiple internal reflections -- Fresnel formulas for reflection and transmission amplitudes -- Mie Scattering Theory: obtaining the scattering coefficients at a boundary -- The problem of slow convergence -- The Sommerfeld-Watson transformation -- Evaluating scattering coefficients with asymptotic expansions -- Expressing scattering coefficients in terms of phasors -- Asymptotic forms for the Hankel and Legendre functions evaluated at the LEO -- Geometric optics interpretation of Mie Scattering Theory -- Evaluating Mie Scattering by integration of the scattering phasor -- Interpreting scattering using the Stationary-Phase technique -- Duality between Stationary-Phase concepts in electrodynamics and in geometric optics -- Diffraction from a large, transparent, refracting sphere using Mie Scattering Theory -- Looking for rainbows -- Limiting cases -- WAVE PROPAGATION IN A STRATIFIED MEDIUM: THE THIN-FILM APPROACH: Thin-film concepts -- The characteristic matrix -- The stratified medium as a stack of discrete layers -- The characteristic matrix for an airy layer -- Incoming and outgoing waves and their turning points -- Concatenated airy layers -- Osculating parameters -- Airy functions as basis functions -- Wave propagation in a cylindrical stratified medium -- Wave propagation in a spherical stratified medium -- Correspondence between characteristic matrices for cartesian and spherical stratified airy layers -- PROPAGATION AND SCATTERING IN A SPHERICAL-STRATIFIED REFRACTING MEDIUM: Maxwell's equations in a stratified linear medium -- Modified spherical bessel functions -- Asymptotic forms -- Modified Mie Scattering in a spherical stratified medium -- More geometric optics: cumulative bending angle, Bouguer's law, and defocusing -- More asymptotic forms -- Spectral representation of an electromagnetic wave in a spherical stratified medium -- Interpreting wave theory in a refracting medium using the stationary phase technique -- Comparison of geometric optics and wave theory -- The electric field at a turning point -- Caustics and multipath -- Spectral coefficients in a spherical refracting medium with an embedded discontinuity -- The scattered field from a perfectly reflecting sphere embedded in a refracting medium -- THE INVERSE PROBLEM: USING SPECTRAL THEORY TO RECOVER THE ATMOSPHERIC REFRACTIVITY PROFILE: GPS receiver operations -- Spectral representation of the field at the LEO -- Refractivity recovery.
- Subject(s)
- ISBN
- 0471712221
- Bibliography Note
- Includes bibliographical references and index.
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