TY - GEN
T1 - Bounds on the microanalyzer array assumption
AU - Vaughn, Israel J.
AU - Alenin, Andrey S.
AU - Tyo, J. Scott
N1 - Funding Information:
This work was supported by the Air Force Office of Scientific Research/Asian Office of Aerospace Research and Development under award FA-2386-15-1-4098.
Publisher Copyright:
© 2016 SPIE.
PY - 2016
Y1 - 2016
N2 - 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.
AB - 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.
KW - Polarimetry
KW - linear systems
KW - microanalyzer array
KW - micropolarizer array
KW - modulated polarimetry
KW - polarimetric channels
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U2 - 10.1117/12.2230052
DO - 10.1117/12.2230052
M3 - Conference contribution
AN - SCOPUS:84976575906
T3 - Proceedings of SPIE - The International Society for Optical Engineering
BT - Polarization
A2 - Chenault, David B.
A2 - Goldstein, Dennis H.
PB - SPIE
T2 - Polarization: Measurement, Analysis, and Remote Sensing XII
Y2 - 18 April 2016 through 19 April 2016
ER -