Bounds on the microanalyzer array assumption

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

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

5 Citations (Scopus)


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
Title of host publicationProceedings of SPIE - Polarization
Subtitle of host publicationMeasurement, Analysis, and Remote Sensing XII
EditorsDavid B. Chenault, Dennis H. Goldstein
Place of PublicationBellingham WA USA
Number of pages10
ISBN (Print)9781510600942
Publication statusPublished - 2016
Externally publishedYes
EventConference on Polarization - Measurement, Analysis, and Remote Sensing XII - Baltimore, United States of America
Duration: 18 Apr 201619 Apr 2016 (Proceedings)

Publication series

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


ConferenceConference on Polarization - Measurement, Analysis, and Remote Sensing XII
Country/TerritoryUnited States of America
Internet address


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

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