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How can we calculate the elements of the scattering matrix (Spq with p and q being the transmit/receive polarizations), for a Sentinel-1 image?

Does the image have to be in a Single-Look Complex (SLC) format (contains complex values), in order to calculate the scattering matrix?

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I found the formulas that I was looking for in this article: http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=1036007

These formulas obviously depend on the fresnel reflection coefficients which can be found here: https://earth.esa.int/documents/653194/656796/Rough_Surface_Scattering_Models.pdf

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