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Conventional Far-fleld decomposition of the scattered electromagnetic (EM) fleld in the (EH) plane in terms of the horizontal and vertical components (i.e., h, v), introduces ambiguity for multi- static, multi-platform and/or scene-centric polarimetric synthetic aperture radar (SAR) image exploitation. This is due to the fact that a 2-dimensional (2D) vector fleld can not constitute a complete space capable of modeling 3-dimensional (3D) fleld transformations. To address this, analytic extension of the Stokes and scattering vectors to 3D is explored and presented. In particular, coherent 3D polarimetric decomposition in Gell-Mann basis is introduced and explored as 3D generalization of standard Pauli decomposition. The results are also applicable to compact polarimetry (CP) where mathematically consistent 3D Stokes parameters can be deflned.

A NOVEL FIELD SCATTERING FORMULATION FOR POLARIMETRIC SYNTHETIC APERTURE RADAR: 3D SCATTERING AND STOKES VECTORS