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. Linear and non-linear representations of wave fields constitute the basis ofmodern algorithms for analysis of radio occultation (RO) data. Linearrepresentations are implemented by Fourier Integral Operators, which allowfor high-resolution retrieval of bending angles. Non-linear representationsinclude Wigner Distribution Function (WDF), which equals the pseudo-densityof energy in the ray space. Representations allow for filtering wave fieldsby suppressing some areas of the ray space and mapping the field back fromthe transformed space to the initial one. We apply this technique to theretrieval of reflected rays from RO observations. The use of reflected raysmay increase the accuracy of the retrieval of the atmospheric refractivity.Reflected rays can be identified by the visual inspection of WDF orspectrogram plots. Numerous examples from COSMIC data indicate thatreflections are mostly observed over oceans or snow, in particular overAntarctica. We introduce the reflection index that characterizes the relativeintensity of the reflected ray with respect to the direct ray. The indexallows for the automatic identification of events with reflections. We usethe radio holographic estimate of the errors of the retrieved bending angleprofiles of reflected rays. A comparison of indices evaluated for a largebase of events including the visual identification of reflections indicateda good agreement with our definition of reflection index.

Reflected ray retrieval from radio occultation data using radio holographic filtering of wave fields in ray space