Abstract

A snapshot imaging Mueller matrix polarimeter (SIMMP) is theoretically described and empirically demonstrated through simulation. Spatial polarization fringes are localized onto a sample by incorporating polarization gratings (PGs) into a polarization generator module. These fringes modulate the Mueller matrix (MM) components of the sample, which are subsequently isolated with PGs in an analyzer module. The MM components are amplitude modulated onto spatial carrier frequencies which, due to the PGs, maintain high visibility in spectrally broadband illumination. An interference model of the SIMMP is provided, followed by methods of reconstruction and calibration. Lastly, a numerical simulation is used to demonstrate the system’s performance in the presence of noise.

© 2012 Optical Society of America

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References

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2011 (1)

2010 (1)

B. D. Bartlett, M. G. Gartley, D. W. Messinger, C. Salvaggio, and J. R. Schott, J. Appl. Remote Sens. 4, 043552 (2010).
[CrossRef]

2009 (1)

2008 (3)

2007 (2)

2006 (1)

K. Oka and N. Saito, Proc. SPIE 6295, 629508 (2006).
[CrossRef]

2004 (1)

2003 (1)

1997 (1)

1956 (1)

S. Pancharatnam, Proc. Indian Acad. Sci. A 44, 247 (1956).

Anastasiadou, M.

Bartlett, B. D.

B. D. Bartlett, M. G. Gartley, D. W. Messinger, C. Salvaggio, and J. R. Schott, J. Appl. Remote Sens. 4, 043552 (2010).
[CrossRef]

Chipman, R. A.

Delechelle, E.

Delplancke, F.

Dereniak, E. L.

Dogariu, A.

Elsner, A. E.

Escuti, M. J.

Gartley, M. G.

B. D. Bartlett, M. G. Gartley, D. W. Messinger, C. Salvaggio, and J. R. Schott, J. Appl. Remote Sens. 4, 043552 (2010).
[CrossRef]

Gerhart, G. R.

Goldstein, D. H.

D. H. Goldstein, Polarized Light (CRC, 2011).

Guyot, S.

Hagen, N.

Jungwirth, M. E. L.

Kaneko, T.

Kudenov, M. W.

Martino, A. D.

McEldowney, S. C.

Messinger, D. W.

B. D. Bartlett, M. G. Gartley, D. W. Messinger, C. Salvaggio, and J. R. Schott, J. Appl. Remote Sens. 4, 043552 (2010).
[CrossRef]

Mujat, M.

Murali, S.

S. Murali, “Analysis of an interferometric Stokes imaging polarimeter,” Ph. D. dissertation (University of Arizona, 2010).

Oh, C.

Oka, K.

Pancharatnam, S.

S. Pancharatnam, Proc. Indian Acad. Sci. A 44, 247 (1956).

Saito, N.

K. Oka and N. Saito, Proc. SPIE 6295, 629508 (2006).
[CrossRef]

Salvaggio, C.

B. D. Bartlett, M. G. Gartley, D. W. Messinger, C. Salvaggio, and J. R. Schott, J. Appl. Remote Sens. 4, 043552 (2010).
[CrossRef]

Schott, J. R.

B. D. Bartlett, M. G. Gartley, D. W. Messinger, C. Salvaggio, and J. R. Schott, J. Appl. Remote Sens. 4, 043552 (2010).
[CrossRef]

Shemo, D. M.

Smith, P. K.

Twietmeyer, K. M.

VanNesdale, D.

Wolf, E.

Zhao, Y.

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Figures (4)

Fig. 1.
Fig. 1.

SIMMP optical configuration. PGs L1, L2, L5 and L6 shear the beam along x while L3, L4, L7 and L8 shear along y. P1 and P2 are linear polarizers at 45º while two quarter wave-plates, QWP1 and QWP2, have fast axes oriented at 45º and 0º, respectively. All PGs have identical grating periods Λ and the generator’s and analyzer’s PGs are separated by a distance t and 2t, respectively.

Fig. 2.
Fig. 2.

Fourier domain of a channeled image obtained from the SIMMP. Channel numbers correspond to the k subscripts of the Ak coefficients per Table 1. Only the non-conjugated channels are numbered for clarity.

Fig. 3.
Fig. 3.

(a) Average MTF response of all 17 channels where error bars represent one standard deviation, (b) the SNR of each Mueller matrix element.

Fig. 4.
Fig. 4.

Simulated input (left) and measured (right) Mueller matrix of the quarter-wave vortex retarder.

Tables (2)

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Table 1. Coefficient Definitions for the Intensity Pattern

Tables Icon

Table 2. Mueller Matrix Solutions from the Fourier domain

Equations (2)

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I(x,y)=|A1|cos[κα(x+3y)+A1a]+|A2|cos[κα(3x3y)+A2a]+|A3|cos[κα(x+y)+A3a]+|A4|cos[κα(3xy)+A4a]+|A5|cos[κα(xy)+A5a]+|A6|cos[κα(3x+y)+A6a]+|A7|cos[κα(x3y)+A7a]+|A8|cos[κα(3x+3y)+A8a]+|A9|cos[κα(x+2y)+A9a]+|A10|cos[κα(3x2y)+A10a]+|A11|cos[κα(x2y)+A11a]+|A12|cos[κα(3x+2y)+A12a]+|A13|cos[κα(2x2y)+A13a]+|A14|cos[κα(2x+2y)+A14a]+|A15|cos[κα(x)+A15a]+|A16|cos[κα(2y)+A16a]+A17,
Ck,cal=Ark(Csk/Crk)(Cr17/Cs17),

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