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Symmetry relations revealed in Mueller matrix hemispherical maps

2012/02/04 by A. J. Brown, Adrian J. Brown, Yu Xie · 2 citations
Agricultural and Biological Sciences · Engineering · Environmental Science · Mathematics · Physics and Astronomy · #Atmospheric aerosols and clouds #Geometry #Leaf Properties and Growth Measurement #Light scattering #Materials science #Mathematics #Matrix (chemical analysis) #Mirror symmetry #Mueller calculus #Optical Polarization and Ellipsometry #Optics #Physics #Polarimetry #Quantum mechanics #Realizability #Reciprocity (cultural anthropology) #SPHERES #Scattering #Symmetry (geometry) #Zenith #physics.optics

paper · pdf · doi:10.1016/j.jqsrt.2012.01.008

published as Journal of Quantitative Spectroscopy and Radiative Transfer 113 (2012) 644-651 · 17 pages, 4 figures

openalex publication_date 2012/02/04 · arxiv created 2014/06/09 · arxiv updated 2014/06/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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

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