Scattering Purity and Complexity in Radar Polarimetry

The generalized degree of polarimetric purity is a vital descriptor widely studied and interpreted for electromagnetic wave characterization. It invariant under the rotation reference frame. In this work, we first propose an alternate expression measure using mean $(m)$ standard deviation notation="LaTeX">$(s)$ real positive eigenvalues Hermitian semidefinite matrix. We then use to scattering complexity measure. To obtain these expressions, certain inequalities on bounds condition number definite matrices defined in terms notation="LaTeX">$m$ notation="LaTeX">$s$ . parameter characterizes overall polarization structure scattered wave. contrast, describes mixture orthogonal polarized pure components First, demonstrate two proposed measures by analyzing cases: 1) multiple 2) canonical targets. Then, utilize full-polarimetric C- L-band synthetic aperture radar (SAR) data describe variation over various land cover classes. compare their spatial variations ocean surface, built-up areas, vegetation. observe notable contrasts parameters diverse targets scene. Finally, critically interpret temporal scene rice crop acquired C-band SAR data. These analyses affirm importance explicit target open-source version code available at https://github.com/Subho07/scattering-purity- and-complexity