Abstract

We demonstrate a spectrally resolving single-shot polarimeter. The system consists of a commercial imaging spectrograph, modified by a birefringent wedge and a segmented polarizer. The physical operating principle and limitations of the apparatus as well as preliminary polarimetric measurements on the emission of random lasers are reported.

© 2011 Optical Society of America

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References

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  1. H. G. Tomkins and E. A. Irene, Handbook of Ellipsometry (William Andrew, 2005).
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  9. J. C. del Toro Iniesta, Introduction to Spectropolarimetry (Cambridge U. Press, 2003).
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  11. I. Nagata and T. Nakaya, J. Phys. D 6, 1870 (1973).
    [CrossRef]

2010

T. Hellwig, T. Walbaum, P. Gross, and C. Fallnich, Appl. Phys. B 101, 565 (2010).
[CrossRef]

2006

X. Wu, W. Fang, A. Yamilov, A. A. Chabanov, A. A. Asatryan, L. C. Botten, and H. Cao, Phys. Rev. A 74, 053812 (2006).
[CrossRef]

2005

H. G. Tomkins and E. A. Irene, Handbook of Ellipsometry (William Andrew, 2005).
[CrossRef]

2003

J. C. del Toro Iniesta, Introduction to Spectropolarimetry (Cambridge U. Press, 2003).
[CrossRef]

2000

H. Arwin, M. Gavutis, J. Gustafsson, M. Schultzberg, S. Zangooie, and P. Tengvall, Phys. Status Solidi A 182, 515 (2000).
[CrossRef]

1993

R. M. A. Azzam, Thin Solid Films 234, 371 (1993).
[CrossRef]

1992

1989

1985

1973

I. Nagata and T. Nakaya, J. Phys. D 6, 1870 (1973).
[CrossRef]

1955

R. Penrose, Math. Proc. Cambridge Philos. Soc. 51, 406(1955).
[CrossRef]

Arwin, H.

H. Arwin, M. Gavutis, J. Gustafsson, M. Schultzberg, S. Zangooie, and P. Tengvall, Phys. Status Solidi A 182, 515 (2000).
[CrossRef]

Asatryan, A. A.

X. Wu, W. Fang, A. Yamilov, A. A. Chabanov, A. A. Asatryan, L. C. Botten, and H. Cao, Phys. Rev. A 74, 053812 (2006).
[CrossRef]

Azzam, R. M. A.

Botten, L. C.

X. Wu, W. Fang, A. Yamilov, A. A. Chabanov, A. A. Asatryan, L. C. Botten, and H. Cao, Phys. Rev. A 74, 053812 (2006).
[CrossRef]

Cao, H.

X. Wu, W. Fang, A. Yamilov, A. A. Chabanov, A. A. Asatryan, L. C. Botten, and H. Cao, Phys. Rev. A 74, 053812 (2006).
[CrossRef]

Chabanov, A. A.

X. Wu, W. Fang, A. Yamilov, A. A. Chabanov, A. A. Asatryan, L. C. Botten, and H. Cao, Phys. Rev. A 74, 053812 (2006).
[CrossRef]

del Toro Iniesta, J. C.

J. C. del Toro Iniesta, Introduction to Spectropolarimetry (Cambridge U. Press, 2003).
[CrossRef]

Fallnich, C.

T. Hellwig, T. Walbaum, P. Gross, and C. Fallnich, Appl. Phys. B 101, 565 (2010).
[CrossRef]

Fang, W.

X. Wu, W. Fang, A. Yamilov, A. A. Chabanov, A. A. Asatryan, L. C. Botten, and H. Cao, Phys. Rev. A 74, 053812 (2006).
[CrossRef]

Gavutis, M.

H. Arwin, M. Gavutis, J. Gustafsson, M. Schultzberg, S. Zangooie, and P. Tengvall, Phys. Status Solidi A 182, 515 (2000).
[CrossRef]

Gross, P.

T. Hellwig, T. Walbaum, P. Gross, and C. Fallnich, Appl. Phys. B 101, 565 (2010).
[CrossRef]

Gustafsson, J.

H. Arwin, M. Gavutis, J. Gustafsson, M. Schultzberg, S. Zangooie, and P. Tengvall, Phys. Status Solidi A 182, 515 (2000).
[CrossRef]

Hellwig, T.

T. Hellwig, T. Walbaum, P. Gross, and C. Fallnich, Appl. Phys. B 101, 565 (2010).
[CrossRef]

Irene, E. A.

H. G. Tomkins and E. A. Irene, Handbook of Ellipsometry (William Andrew, 2005).
[CrossRef]

Lopez, A. G.

Nagata, I.

I. Nagata and T. Nakaya, J. Phys. D 6, 1870 (1973).
[CrossRef]

Nakaya, T.

I. Nagata and T. Nakaya, J. Phys. D 6, 1870 (1973).
[CrossRef]

Nikolova, L.

Penrose, R.

R. Penrose, Math. Proc. Cambridge Philos. Soc. 51, 406(1955).
[CrossRef]

Schultzberg, M.

H. Arwin, M. Gavutis, J. Gustafsson, M. Schultzberg, S. Zangooie, and P. Tengvall, Phys. Status Solidi A 182, 515 (2000).
[CrossRef]

Tengvall, P.

H. Arwin, M. Gavutis, J. Gustafsson, M. Schultzberg, S. Zangooie, and P. Tengvall, Phys. Status Solidi A 182, 515 (2000).
[CrossRef]

Todorov, T.

Tomkins, H. G.

H. G. Tomkins and E. A. Irene, Handbook of Ellipsometry (William Andrew, 2005).
[CrossRef]

Walbaum, T.

T. Hellwig, T. Walbaum, P. Gross, and C. Fallnich, Appl. Phys. B 101, 565 (2010).
[CrossRef]

Wu, X.

X. Wu, W. Fang, A. Yamilov, A. A. Chabanov, A. A. Asatryan, L. C. Botten, and H. Cao, Phys. Rev. A 74, 053812 (2006).
[CrossRef]

Yamilov, A.

X. Wu, W. Fang, A. Yamilov, A. A. Chabanov, A. A. Asatryan, L. C. Botten, and H. Cao, Phys. Rev. A 74, 053812 (2006).
[CrossRef]

Zangooie, S.

H. Arwin, M. Gavutis, J. Gustafsson, M. Schultzberg, S. Zangooie, and P. Tengvall, Phys. Status Solidi A 182, 515 (2000).
[CrossRef]

Appl. Phys. B

T. Hellwig, T. Walbaum, P. Gross, and C. Fallnich, Appl. Phys. B 101, 565 (2010).
[CrossRef]

J. Opt. Soc. Am. A

J. Phys. D

I. Nagata and T. Nakaya, J. Phys. D 6, 1870 (1973).
[CrossRef]

Math. Proc. Cambridge Philos. Soc.

R. Penrose, Math. Proc. Cambridge Philos. Soc. 51, 406(1955).
[CrossRef]

Opt. Lett.

Phys. Rev. A

X. Wu, W. Fang, A. Yamilov, A. A. Chabanov, A. A. Asatryan, L. C. Botten, and H. Cao, Phys. Rev. A 74, 053812 (2006).
[CrossRef]

Phys. Status Solidi A

H. Arwin, M. Gavutis, J. Gustafsson, M. Schultzberg, S. Zangooie, and P. Tengvall, Phys. Status Solidi A 182, 515 (2000).
[CrossRef]

Thin Solid Films

R. M. A. Azzam, Thin Solid Films 234, 371 (1993).
[CrossRef]

Other

H. G. Tomkins and E. A. Irene, Handbook of Ellipsometry (William Andrew, 2005).
[CrossRef]

J. C. del Toro Iniesta, Introduction to Spectropolarimetry (Cambridge U. Press, 2003).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Experimental setup in (a) top and (b) side views: S, sample; L, lens; λ / 4 and λ / 2 , quarter- and half-wave plates; CL, cylindrical lens; BW, birefringent wedge; MP, mosaic polarizer; CCD,CCD camera.

Fig. 2
Fig. 2

Sensor-array readings for (a) vertically linear and (c) right-handed circular polarization and their corresponding reconstructions [(b) and (d), dotted, S 0 ; dashed, S 1 ; dashed–dotted, S 2 ; solid, S 3 ]. The raw images show a slightly inclined horizon, which was attributed to an imperfect mounting flange between monochromator and camera. The tilt is included in the calibration and does not corrupt the measurement itself.

Fig. 3
Fig. 3

Relative error of the polarization measurement decreased rapidly with larger numbers of incorporated sensor rows during reconstruction and saturated below 10%.

Fig. 4
Fig. 4

Spectral polarization measurement of random lasing emission. Vertical lines indicate the spectral positions of random laser modes.

Equations (1)

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A i 1 = 1 , A i 2 = [ cos 2 α i ( cos 2 2 β i + sin 2 2 β i cos δ i ) + sin 2 α i cos 2 β i sin 2 β i ( 1 cos δ i ) ] , A i 3 = [ sin 2 α i ( sin 2 2 β i + cos 2 2 β i cos δ i ) + cos 2 α i cos 2 β i sin 2 β i ( 1 cos δ i ) ] , A i 4 = [ cos 2 α i sin 2 β i sin δ i sin 2 α i cos 2 β i sin δ i ] ,

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