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Ann. Geophys., 20, 1253-1256, 2002
www.ann-geophys.net/20/1253/2002/
© European Geosciences Union 2002
Letter to the Editor
Abel transform inversion of radio occultation measurements made with a receiver inside the Earth’s atmosphere
S. B. Healy1, J. Haase2,3, and O. Lesne2
1Met office, Bracknell, UK
2ACRI-ST, Sophia-Antipolis, France
3Purdue University, Department of Earth and Atmospheric Sciences, West Lafayette, USA
Correspondence to: S. B. Healy
(sean.healy@metoffice.com)
Abstract. Radio occultation
measurements made with a receiver inside the Earth’s atmosphere can be
inverted, assuming local spherical symmetry, with an Abel transform to provide
an estimate of the atmospheric refractive index profile. The measurement
geometry is closely related to problems encountered when inverting seismic
time-travel data and solar occultation measurements, where the Abel solution is
well known. The method requires measuring both rays that originate from above
and below the local horizon of the receiver. The Abel transform operates on a
profile of "partial bending angles" found by subtracting the positive
elevation measurement from the negative elevation value with the same impact
parameter. In principle, the refractive index profile can be derived from
measurements with a single frequency GPS receiver because the ionospheric
bending is removed when the partial bending angle is evaluated.
Key words. Atmospheric composition
and structure (pressure, density and temperature) – Radio science (remote
sensing)
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