2014/09/19 by A. J. Brown, Adrian J. Brown, Brown, Adrian J.
Agricultural and Biological Sciences · Chemistry · Engineering · Mathematics · Physics and Astronomy · #Astronomy #Atmospheric and Oceanic Physics (physics.ao-ph) #Chemistry #Classical mechanics #Earth and Planetary Astrophysics (astro-ph.EP) #Equivalence (formal languages) #FOS: Physical sciences #Formalism (music) #Geometry #Homogeneous space #Instrumentation and Detectors (physics.ins-det) #Instrumentation and Methods for Astrophysics (astro-ph.IM) #Leaf Properties and Growth Measurement #Lidar #Mathematics #Matrix (chemical analysis) #Mueller calculus #Optical Polarization and Ellipsometry #Optical and Acousto-Optic Technologies #Optics #Optics (physics.optics) #Physics #Planet #Polarimetry #Pure mathematics #Rotational symmetry #Scattering #Symmetry (geometry) #Theoretical physics #astro-ph.EP #astro-ph.IM #physics.ao-ph #physics.ins-det #physics.optics
paper · pdf · doi:10.48550/arxiv.1409.5835
13 pages, 3 figures
arxiv created 2014/09/19 · openalex publication_date 2014/09/19 · arxiv updated 2014/09/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Symmetry relationships for optical observations of matter generally fall into several common scattering geometries. The 'planetary' configuration is preferred among a group of observers of extraterrestrial planets, 'laboratory' observations are performed in the biomedical research field and the LIDAR configuration is preferred among those using lasers to probe optical properties of horizontal surfaces with mirror or axial symmetry. This paper starts with the Stokes matrix formalism and uses symmetries of Mueller matrix scattering to establishes links between the mathematical symmetries of each geometric configuration.