Abstract

We introduce a technique for determining the polarimetric characteristics of light by measuring the contrast of the intensity fluctuations in an interferometric setup. The method permits simultaneous measurement of the degree of polarization and of the second normalized Stokes component, which is related to the ellipsometric parameters azimuth and ellipticity, based on only two measurements. We also show that by using phase modulation we can increase the signal-to-noise ratio as much as 40% under certain conditions.

© 2004 Optical Society of America

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References

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  1. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, Cambridge, England, 1995).
    [CrossRef]
  2. M. Mujat and A. Dogariu, Opt. Lett. 28, 2153 (2003).
    [CrossRef] [PubMed]
  3. D. Bicout, C. Brosseau, A. S. Martinez, and J. M. Schmitt, Phys. Rev. E 49, 1767 (1994).
    [CrossRef]
  4. D. F. V. James, J. Opt. Soc. Am. A 11, 1641 (1994).
    [CrossRef]
  5. F. Gori, M. Santarsiero, G. Piquero, R. Borghi, A. Mondello, and R. Simon, J. Opt. A 3, 1 (2001).
    [CrossRef]
  6. E. Wolf, Nuovo Cimento 13, 1165 (1959).
    [CrossRef]
  7. E. Wolf, Nuovo Cimento 12, 884 (1954).
    [CrossRef]
  8. E. Collett, Polarized Light: Fundamentals and Applications (Marcel Dekker, New York, 1993).

2003 (1)

2001 (1)

F. Gori, M. Santarsiero, G. Piquero, R. Borghi, A. Mondello, and R. Simon, J. Opt. A 3, 1 (2001).
[CrossRef]

1994 (2)

D. Bicout, C. Brosseau, A. S. Martinez, and J. M. Schmitt, Phys. Rev. E 49, 1767 (1994).
[CrossRef]

D. F. V. James, J. Opt. Soc. Am. A 11, 1641 (1994).
[CrossRef]

1959 (1)

E. Wolf, Nuovo Cimento 13, 1165 (1959).
[CrossRef]

1954 (1)

E. Wolf, Nuovo Cimento 12, 884 (1954).
[CrossRef]

Bicout, D.

D. Bicout, C. Brosseau, A. S. Martinez, and J. M. Schmitt, Phys. Rev. E 49, 1767 (1994).
[CrossRef]

Borghi, R.

F. Gori, M. Santarsiero, G. Piquero, R. Borghi, A. Mondello, and R. Simon, J. Opt. A 3, 1 (2001).
[CrossRef]

Brosseau, C.

D. Bicout, C. Brosseau, A. S. Martinez, and J. M. Schmitt, Phys. Rev. E 49, 1767 (1994).
[CrossRef]

Collett, E.

E. Collett, Polarized Light: Fundamentals and Applications (Marcel Dekker, New York, 1993).

Dogariu, A.

Gori, F.

F. Gori, M. Santarsiero, G. Piquero, R. Borghi, A. Mondello, and R. Simon, J. Opt. A 3, 1 (2001).
[CrossRef]

James, D. F. V.

Mandel, L.

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, Cambridge, England, 1995).
[CrossRef]

Martinez, A. S.

D. Bicout, C. Brosseau, A. S. Martinez, and J. M. Schmitt, Phys. Rev. E 49, 1767 (1994).
[CrossRef]

Mondello, A.

F. Gori, M. Santarsiero, G. Piquero, R. Borghi, A. Mondello, and R. Simon, J. Opt. A 3, 1 (2001).
[CrossRef]

Mujat, M.

Piquero, G.

F. Gori, M. Santarsiero, G. Piquero, R. Borghi, A. Mondello, and R. Simon, J. Opt. A 3, 1 (2001).
[CrossRef]

Santarsiero, M.

F. Gori, M. Santarsiero, G. Piquero, R. Borghi, A. Mondello, and R. Simon, J. Opt. A 3, 1 (2001).
[CrossRef]

Schmitt, J. M.

D. Bicout, C. Brosseau, A. S. Martinez, and J. M. Schmitt, Phys. Rev. E 49, 1767 (1994).
[CrossRef]

Simon, R.

F. Gori, M. Santarsiero, G. Piquero, R. Borghi, A. Mondello, and R. Simon, J. Opt. A 3, 1 (2001).
[CrossRef]

Wolf, E.

E. Wolf, Nuovo Cimento 13, 1165 (1959).
[CrossRef]

E. Wolf, Nuovo Cimento 12, 884 (1954).
[CrossRef]

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, Cambridge, England, 1995).
[CrossRef]

J. Opt. A (1)

F. Gori, M. Santarsiero, G. Piquero, R. Borghi, A. Mondello, and R. Simon, J. Opt. A 3, 1 (2001).
[CrossRef]

J. Opt. Soc. Am. A (1)

Nuovo Cimento (2)

E. Wolf, Nuovo Cimento 13, 1165 (1959).
[CrossRef]

E. Wolf, Nuovo Cimento 12, 884 (1954).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. E (1)

D. Bicout, C. Brosseau, A. S. Martinez, and J. M. Schmitt, Phys. Rev. E 49, 1767 (1994).
[CrossRef]

Other (2)

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, Cambridge, England, 1995).
[CrossRef]

E. Collett, Polarized Light: Fundamentals and Applications (Marcel Dekker, New York, 1993).

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Figures (3)

Fig. 1
Fig. 1

Mach–Zehnder interferometer: BS1, BS2, nonpolarizing beam splitters; M1, M2, mirrors; PMx and PMy, phase modulators controlling the phase along the x and y directions, respectively.

Fig. 2
Fig. 2

Contrast of the intensity fluctuations of output 1 of the interferometer as a function of the phase φx for different values of q as indicated in each plot and different degrees of polarization as indicated in the legend.

Fig. 3
Fig. 3

SNR of output 1 of the interferometer as a function of the phase φx for q=1 and different degrees of polarization as indicated in the legend of Fig. 2.

Equations (8)

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I2=2fx4Jxx2+2fy4Jyy2+2fx2fy2JxxJyy+Jxy2.
C=(fx4Jxx2+fy4Jyy2+2fx2fy2Jxy|2)1/2fx2Jxx+fy2Jyy.
Cfx,fy,q,P=1-B1-P2APq+121/2,
A1,2=±cosφxcosφy2±cosφxcosφy,  B1,2=21±cosφx1±cosφy2±cosφx±cosφy2,
C1,2=1-B1,21-P21+A1,2Pq21/2
P=1-1-C12B1A2-A1A2-MA121/2,
q=M-1A2-MA11-1-C12B1A2-A1A2-MA12-1/2,
M=B2B11-C121-C221/2.

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