Polarization intrinsic coherence Poincaré sphere

A Poincaré-like sphere for spatial coherence characteristics leading to "visual algorithms" is introduced. Deterministic and random Jones transformations, as well as coherence optimization between lights at two spatial locations, can be apprehended with simple geometric transformations analogous to the ones used with the standard Poincaré sphere for polarization. The joint representation of polarization and coherence characteristics in a single global polarization intrinsic coherence Poincaré sphere allows one to easily identify remarkable physical situations.