Task-specific snapshot Mueller matrix channeled spectropolarimeter optimization

Alenin, Andrey; Tyo, J. Scott

doi:10.1117/12.921911

Cited by 10 publications

(5 citation statements)

References 3 publications

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“…The basis vectors for the input direction ωi are calculated using rotation axis ri and rotation angle ϕ i E Q -T A R G E T ; t e m p : i n t r a l i n k -; e 0 2 3 ; 1 1 6 ; 2 5 2 ri ¼ ωi × âi and ϕ i ¼ − arccosð ωi • âi Þ; (23) where basis vectors for the outward direction ωo are calculated using rotation axis ro and rotation angle ϕ o E Q -T A R G E T ; t e m p : i n t r a l i n k -; e 0 2 4 ; 1 1 6 ; 1 9 7 ro ¼ ωo × âo and ϕ o ¼ − arccosð ωo • âo Þ:…”

Section: Coordinate Systems Of Psg and Psamentioning

confidence: 99%

“…This motivates the development of snapshot polarimeters. Technologies for snapshot acquisition of MMs include encoding polarization to wavelength, 20 – 23 channeled polarimetry using polarization gratings, 24 , 25 structured illumination combined with a DoFP full Stokes camera, 26 and splitting the beam to enable multiple DoFP cameras 27 . Hybrid approaches also exist that use rotating retarders for illumination but decrease the number of acquisitions using a DoFP camera 28 …”

Section: Introductionmentioning

confidence: 99%

“…Complete MM imaging requires at least sixteen polarimetric linearly-independent measurements to constrain the sixteen degrees of freedom of a MM [6], [31]. For measuring general MMs, it is an established practice to use more than sixteen measurements because the pseudoinverse solution becomes more robust to noise as additional linearly-dependent measurements are performed [32]- [35]. Dual rotating retarder (DRR) polarimeters are commonly used to perform MM imaging and a DRR polarimeter is used in this work as a baseline for polarimetric accuracy [36]- [38].…”

Section: Introductionmentioning

confidence: 99%

“…Dual rotating retarder (DRR) polarimeters are commonly used to perform MM imaging and a DRR polarimeter is used in this work as a baseline for polarimetric accuracy [36]- [38]. The design of MM imaging measurement protocols are well-studied [32]- [35]. DRR polarimeters (and similar polarimeters which modulate the polarized signal with respect to time) can be considered illsuited for measuring objects with polarization that changes in time and applications where a large number of objects or geometries must be measured.…”

Section: Introductionmentioning

confidence: 99%

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Underdetermined polarimetric measurements for Mueller extrapolations

Jarecki

Kupinski

2022

Opt. Eng.

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Polarized light-matter interactions are mathematically described by the Mueller matrix (MM)-valued polarized bidirectional reflectance distribution function (pBRDF). A pBRDF is parameterized by 16 degrees of freedom that depend upon scattering geometry. A triple degenerate (TD) MM assumption reduces the degrees of freedom to eight: one for reflectance, six for non-depolarizing properties, and one for depolarization. When the nondepolarizing dominant process is known or assumed (e.g., Fresnel reflection), the degrees of freedom are further reduced to two. For a given material, if the TD model is appropriate and the dominant non-depolarizing process is known, then these two degrees of freedom can be estimated from as few as two polarimetric measurements. Thus, the MM can be extrapolated from a reduced number of measurements. The primary contribution of this work is the development and demonstration of a linear estimator for an MM's dominant eigenvalue (i.e., single depolarization parameter) that requires fewer measurements than a full MM reconstruction. MM extrapolations from single snapshot acquisitions with a Sony Triton 5.0MP polarization camera are performed at 30 acquisition geometries and two wavelengths on an ensemble of LEGO bricks treated to have varying surface roughness. These extrapolated MMs are compared with MMs reconstructed from a complete dual rotating retarder Mueller imaging polarimeter. The flux error mean and mode are 11.06% and 1.03%, respectively, despite a 10× reduction in the number of polarimetric measurements.

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Section: Coordinate Systems Of Psg and Psamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Underdetermined polarimetric measurements for Mueller extrapolations

Jarecki

Kupinski

2022

Opt. Eng.

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“…Their effort, however, focused on one kind of system and stopped short of providing a complete solution to deal with any channeled polarimeter. This paper expands on prior effort [18] and describes the generalized methods that can be used to model channeled information mapping and guide the reconstruction. A great advantage of a spatially or a spectrally channeled systems is the possibility of constructing a snapshot polarimeter.…”

Section: Channeled Polarimetrymentioning

confidence: 99%

Generalized channeled polarimetry

Alenin

Tyo

2014

J. Opt. Soc. Am. A

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Channeled polarimeters measure polarization by modulating the measured intensity in order to create polarization-dependent channels that can be demodulated to reveal the desired polarization information. A number of channeled systems have been described in the past, but their proposed designs often unintentionally sacrifice optimality for ease of algebraic reconstruction. To obtain more optimal systems, a generalized treatment of channeled polarimeters is required. This paper describes methods that enable handling of multi-domain modulations and reconstruction of polarization information using linear algebra. We make practical choices regarding use of either Fourier or direct channels to make these methods more immediately useful. Employing the introduced concepts to optimize existing systems often results in superficial system changes, like changing the order, orientation, thickness, or spacing of polarization elements. For the two examples we consider, we were able to reduce noise in the reconstruction to 34.1% and 57.9% of the original design values.

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Bandwidth and crosstalk considerations in a spatio-temporally modulated polarimeter

Vaughn

Rodríguez-Herrera

et al. 2015

SPIE Proceedings

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Task-specific snapshot Mueller matrix channeled spectropolarimeter optimization

Cited by 10 publications

References 3 publications

Underdetermined polarimetric measurements for Mueller extrapolations

Underdetermined polarimetric measurements for Mueller extrapolations

Generalized channeled polarimetry

Bandwidth and crosstalk considerations in a spatio-temporally modulated polarimeter

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