The compact polarimetric (CP) imaging mode is a special, dual-polarization mode in which only one polarization is transmitted and two orthogonal polarizations are simultaneously used to measure the returns. The transmitting polarization can be an arbitrary elliptical wave, and therefore, theoretically, there are numerous possibilities of hybrid dual-pol modes. Since the scattering process is a function of the incident field and scattered field, when we use polarization to measure the backscattering process, radar measurement is polarization-dependent. This leads to difficulties in developing a unified interpretation for target scattering characterization in compact polarimetry, since the scattering models should be modified to take the fact of polarization dependency into account. In this letter, in the framework of a previously proposed CP formalism method, we develop a general model-based target decomposition technique that is applicable to the general CP mode. First, a general link between the fully polarimetric (FP) and the general CP scattering matrix elements is established. Second, the FP models corresponding to a single symmetric scattering mechanism and azimuthally symmetric volume scattering are mapped to the general CP case. Assuming that the 2-D backscatter is composed of a single scattering component and a volume scattering component, the decomposition is finally implemented by solving a quadratic equation. The C-band Shuttle Imaging Radar with Payload C/ X-synthetic aperture radar (SIR C/X-SAR) data are used in the experiment for demonstration.
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