Canonical transform method for processing radio occultation data in the lower troposphere

[1] The methods of processing radio occultation data in multipath zones which were used up to now have very strong restrictions of the applicability. In this paper, we introduce a new approach to the problem of deciphering the ray structure of wave fields in multipath zones using the short-wave asymptotic solution of the wave problem. In geometric optics a canonical transform resolves multipath by introducing new coordinate and momentum in such a way that different rays are distinguished by their coordinates. The wave field is processed by a Fourier integral operator associated with the canonical transform. The transformed wave function can then be written in the single-ray approximation, which allows for the determination of refraction angles from the derivative of the eikonal. The new method retains all the advantages of the back propagation such as the removal of effects of diffraction in free space and the enhancement of the vertical resolution in retrieved profiles, but it has much wider applicability limits. The method is convenient for operational applications. We discuss a fast numerical implementation of the method and present the results of numerical simulations confirming the applicability of the method.

[1]  J. Schofield,et al.  Observing Earth's atmosphere with radio occultation measurements using the Global Positioning System , 1997 .

[2]  V. Arnold.  Mathematical Methods of Classical Mechanics , 1974 .

[3]  E. Karayel,et al.  Sub‐Fresnel‐scale vertical resolution in atmospheric profiles from radio occultation , 1997 .

[4]  X. Zou,et al.  Analysis and validation of GPS/MET data in the neutral atmosphere , 1997 .

[5]  L. Bengtsson,et al.  Space refractive tomography of the atmosphere: modeling of direct and inverse problems , 1996 .

[6]  J. Twicken,et al.  Jupiter's ionosphere- New results from Voyager 2 , 1998 .

[7]  Jean-philippe Martin.  Simulation of wave propagation in random media: theory and applications , 1993 .

[8]  Y. Kravtsov,et al.  Geometrical optics of inhomogeneous media , 2019, Geometrical Optics of Weakly Anisotropic Media.

[9]  G. F. Lindal,et al.  The atmosphere of Uranus: Results of radio occultation measurements with Voyager 2 , 1987 .

[10]  G. Leonard Tyler,et al.  Systematic errors in atmospheric profiles obtained from abelian inversion of radio occultation data : Effects of large-scale horizontal gradients , 1999 .

[11]  A. G. Pavel'ev,et al.  On the feasibility of radioholographic investigations of wave fields near the Earth's radio-shadow zone on the satellite-to-satellite path , 1998 .

[12]  P. J. Schinder,et al.  Jupiter's ionosphere: Results from the First Galileo Radio Occultation Experiment , 1997 .

[13]  Lennart Bengtsson,et al.  Advanced algorithms of inversion of GPS/MET satellite data and their application to reconstruction of temperature and humidity , 1996 .

[14]  M. E. Gorbunov,et al.  Algorithms of inversion of Microlab-1 satellite data including effects of multipath propagation , 1998 .

[15]  Norbert Jakowski,et al.  Radio occultation data analysis by the radioholographic method , 1999 .

[16]  M. E. Gorbunov.  Three-dimensional satellite refractive tomography of the atmosphere: Numerical simulation , 1996 .

[17]  François Treves,et al.  Introduction to Pseudodifferential and Fourier Integral Operators , 1980 .

[18]  M. E. Gorbunov,et al.  Microlab‐1 experiment: Multipath effects in the lower troposphere , 1998 .

[19]  V. V. Vorob’ev,et al.  Estimation of the accuracy of the atmospheric refractive index recovery from Doppler shift measurements at frequencies used in the NAVSTAR system , 1994 .

[20]  Steven Businger,et al.  GPS Sounding of the Atmosphere from Low Earth Orbit: Preliminary Results , 1996 .

[21]  M. E. Gorbunov,et al.  Analysis and validation of GPS/MET radio occultation data , 2001 .

[22]  M. E. Gorbunov,et al.  Comparative analysis of radioholographic methods of processing radio occultation data , 2000 .

[23]  Sergey Sokolovskiy,et al.  Modeling and inverting radio occultation signals in the moist troposphere , 2001 .

[24]  D. Mackenzie,et al.  Lagrangian Manifolds and the Maslov Operator , 1990 .

[25]  Canonical Transform Methods for Radio Occultation Data , 2004 .