Statistics – Computation
Scientific paper
Nov 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004acasn..45..437y&link_type=abstract
Acta Astronomica Sinica, vol. 45, no. 4, p. 437-446
Statistics
Computation
3
Astrometry: Gps/Leo Radio Occultation, Inverse Process, Superrefraction, N-Bias
Scientific paper
Abel inversion in GPS/LEO occultation technique requires the atmospheric index n to be a single-valued function of the refraction radius a. This condition is broken when the vertical refractivity gradient is below a critical value dN/dr ~ -0.16 N-units m-1, that is called superrefraction. Abel inversion is not longer valid under this condition, and, if classical Abel inversion is still formally applied, negative refractivity bias occurs in results. The physical characteristic and mathematical expression of superrefraction layer in the lower troposphere are illustrated. In the frame of a general Abel inversion, inversion algorithm of refractivity in and below superrefraction layer is discussed. Under a simple assumption of constant vertical gradient of refractivity in sampling intervals, simulation process is carried out for UK High Resolution Radiosonde Data. The computational results have proved the relationship among the negative refractivity bias and superrefraction., and the validity of the general Abel inversion method proposed.
Guo Pengcheng
Hong Zhen-Jie
Liu Min
Yan Hao-Jing
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