Theory of radio occultation by Saturn's rings

Physics

Scientific paper

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Radio Occultation, Radio Signals, Saturn Rings, Signal Analysis, Voyager 1 Spacecraft, Bandwidth, Coherent Electromagnetic Radiation, Doppler Radar, Particle Size Distribution, Perturbation, Power Spectra, Radar Targets, Refracted Waves, Signal Reception, Wave Scattering, Saturn, Rings, Radio Occultations, Techniques, Physical Properties, Data, Geometry, Characteristics, Voyager 1, Wavelengths, Perturbations, Size, Spectra, Intensity, Phases, Procedure, Scattering, Optical Properties, Depth, Ringlets, Densi

Scientific paper

The radio occultation technique, as applied to Saturn's rings, is developed as a new method for the study of the physical properties of planetary ring systems. The rings are treated as a Doppler-spread radar target composed of an ensemble of discrete scatterers. The mathematical formulation of the received signal as a random-phasor-sum process is carried out following a conventional radar theory approach, providing a convenient starting point for deriving coherent signal parameters. A classical result is rederived for the equivalent refractive index of the medium. The analysis is generalized to include ringlets of arbitrary width and it is shown that when the width is such that two adjacent rays are differentially perturbed in phase, ray bending that causes focusing of the coherent signal may result. The diffuse component is also treated in detail.

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