Articles | Volume 14, issue 2
Atmos. Meas. Tech., 14, 853–867, 2021
Atmos. Meas. Tech., 14, 853–867, 2021

Research article 03 Feb 2021

Research article | 03 Feb 2021

Generalized canonical transform method for radio occultation sounding with improved retrieval in the presence of horizontal gradients

Michael Gorbunov et al.

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Fluctuations of radio occultation signals in sounding the Earth's atmosphere
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Subject: Others (Wind, Precipitation, Temperature, etc.) | Technique: Remote Sensing | Topic: Data Processing and Information Retrieval
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Cited articles

Arnold, V. I.: Mathematical Methods of Classical Mechanics, Springer, New York, USA, 1978. a, b, c, d, e, f, g
Egorov, Y. V.: Lectures on Partial Differential Equations, Moscow State University Press, Moscow, Russia, 1985 (in Russian). a, b, c, d
Egorov, Y. V. and Shubin, M. A.: Partial Differential Equations IV, Springer, Berlin and Heidelberg, Germany,, 1993. a, b, c, d
Fock, V. A.: Fundamentals of Quantum Mechanics, Mir Publishers, available at: (last access: 22 January 2021), 1978. a, b, c, d, e, f
Goldstein, H., Poole, C., and Safko, J.: Classical Mechanics, Pearson Education Limited, London, UK, 2014. a, b, c, d, e, f
Short summary
Currently, the canonical transform (CT) approach to the processing of radio occultation observations is widely used. For the spherically symmetric atmosphere, the applicability of this method can be strictly proven. However, in the presence of horizontal gradients, this approach may not work. Here we introduce a generalization of the CT method in order to reduce the errors due to horizontal gradients.