Bounds on the microanalyzer array assumption

Israel J. Vaughn, Andrey S. Alenin, J. Scott Tyo

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

5 Scopus citations


Micropolarizer arrays are occasionally used in partial Stokes, full Stokes, and Mueller matrix polarimeters. When treating modulated polarimeters as linear systems, specific assumptions are made about the Dirac delta functional forms generated in the channel space by micropolarizer arrays. These assumptions are 1) infinitely fine sampling both spatially and temporally and 2) infinite array sizes. When these assumptions are lifted and the physical channel shapes are computed, channel shapes become dependent on both the physical pixel area and shape, as well as the array size. We show that under certain circumstances the Dirac delta function approximation is not valid, and give some bounding terms to compute when the approximation is valid, i.e., which array and pixel sizes must be used for the Dirac delta function approximation to hold. Additionally, we show how the physical channel shape changes as a function of array and pixel size, for a conventional 0°, 45°,-45°, 90° superpixel micropolarizer array configuration.

Original languageEnglish (US)
Title of host publicationPolarization
Subtitle of host publicationMeasurement, Analysis, and Remote Sensing XII
EditorsDavid B. Chenault, Dennis H. Goldstein
ISBN (Electronic)9781510600942
StatePublished - 2016
Externally publishedYes
EventPolarization: Measurement, Analysis, and Remote Sensing XII - Baltimore, United States
Duration: Apr 18 2016Apr 19 2016

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X


OtherPolarization: Measurement, Analysis, and Remote Sensing XII
Country/TerritoryUnited States


  • Polarimetry
  • linear systems
  • microanalyzer array
  • micropolarizer array
  • modulated polarimetry
  • polarimetric channels

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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