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The hemispherical Mueller matrix map for light reflected from aplane-parallel planetary atmosphere is shown to obey several symmetryproperties that provide a straightforward method to check their physicalrealizability. The mirror scattering relation and the reciprocity relation areemployed to support the symmetry rules for hemispherical Mueller matrix maps.Additionally, two classes of experiments are identified in which the symmetryrules can be applied, namely, when the incident beam is at zenith and off-zenith angles and the scattering particles are spheres and randomly orientedhexagonal particles.

Symmetry relations revealed in Mueller Matrix hemispherical maps