Degrees of freedom in depolarizing mueller matrices

Research output: Chapter in Book/Report/Conference proceedingConference contribution

11 Scopus citations


Most measured Mueller matrices tend to be slightly non physical due to noise and calibration issues.1 Based on a simple white noise model and higher dimensional geometrical considerations, only 1 out of 90 measured Mueller matrices for a non depolarizing sample should be physical, a number given by the relation ∫0π/4sin7 φ dφ/∫0πsin7 φ dφ≈0.0111 which describes the ratio of the 9-dimensional solid angle inside a 9-dimensional 45° cone to the 9-dimensional solid angle in the entire 9-dimensional hypersphere. The remaining majority of measured matrices would be expected to be slightly non physical.

Original languageEnglish (US)
Title of host publicationPolarization Science and Remote Sensing III
StatePublished - 2007
EventPolarization Science and Remote Sensing III - San Diego, CA, United States
Duration: Aug 29 2007Aug 30 2007

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
ISSN (Print)0277-786X


OtherPolarization Science and Remote Sensing III
Country/TerritoryUnited States
CitySan Diego, CA

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering


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