Bounds on the microanalyzer array assumption

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

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

2 Citations (Scopus)

Abstract

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: Measurement, Analysis, and Remote Sensing XII
PublisherSPIE
Volume9853
ISBN (Electronic)9781510600942
DOIs
StatePublished - 2016
Externally publishedYes
EventPolarization: Measurement, Analysis, and Remote Sensing XII - Baltimore, United States
Duration: Apr 18 2016Apr 19 2016

Other

OtherPolarization: Measurement, Analysis, and Remote Sensing XII
CountryUnited States
CityBaltimore
Period4/18/164/19/16

Fingerprint

Delta functions
Polarimeters
Pixels
Dirac delta function
Polarimeter
Pixel
pixels
delta function
Function Approximation
polarimeters
Linear systems
Stokes
Sampling
approximation
Valid
Mueller Matrix
linear systems
Paul Adrien Maurice Dirac
Linear Systems
sampling

Keywords

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

ASJC Scopus subject areas

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

Cite this

Vaughn, I. J., Alenin, A. S., & Tyo, J. S. (2016). Bounds on the microanalyzer array assumption. In Polarization: Measurement, Analysis, and Remote Sensing XII (Vol. 9853). [98530W] SPIE. https://doi.org/10.1117/12.2230052

Bounds on the microanalyzer array assumption. / Vaughn, Israel J.; Alenin, Andrey S.; Tyo, J Scott.

Polarization: Measurement, Analysis, and Remote Sensing XII. Vol. 9853 SPIE, 2016. 98530W.

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

Vaughn, IJ, Alenin, AS & Tyo, JS 2016, Bounds on the microanalyzer array assumption. in Polarization: Measurement, Analysis, and Remote Sensing XII. vol. 9853, 98530W, SPIE, Polarization: Measurement, Analysis, and Remote Sensing XII, Baltimore, United States, 4/18/16. https://doi.org/10.1117/12.2230052
Vaughn IJ, Alenin AS, Tyo JS. Bounds on the microanalyzer array assumption. In Polarization: Measurement, Analysis, and Remote Sensing XII. Vol. 9853. SPIE. 2016. 98530W https://doi.org/10.1117/12.2230052
Vaughn, Israel J. ; Alenin, Andrey S. ; Tyo, J Scott. / Bounds on the microanalyzer array assumption. Polarization: Measurement, Analysis, and Remote Sensing XII. Vol. 9853 SPIE, 2016.
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