Abstract

Accuracy of a radiometer is adversely affected by scene polarization if the receiving optical system is sensitive to polarization. It is therefore necessary to specify and measure the sensitivity of the system to polarized light. The Mueller-Stokes matrix of an instrument may be determined experimentally and used to predict the effects of the instrument on any beam. The specification of a maximum polarization sensitivity stated in terms of the degree of polarization produced in an unpolarized beam can be experimentally verified even though an unpolarized beam is not available in the laboratory for direct measurement.

© 1979 Optical Society of America

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References

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  1. Melles Griot Optics Guide, Melles Griot, 1770 Kettering Street, Irvine, Calif. 92714 (1975) p. 171.
  2. E. Collett, Am. J. Phys. 39, 517 (1971).
    [CrossRef]
  3. NBS Technical Note 910-3 (June1977).
  4. W. A. Shurcliff, Polarized Light (Harvard U. P., Cambridge, Mass., 1962), p. 24.
  5. H. C. Van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957), p. 44.
  6. L. D. Landau, E. M. Lifshitz, Quantum Mechanics (Pergamon, London, 1965), p. 14.
  7. E. Collett, J. Opt. Soc. Am. 65, 1126 (1975).

1977 (1)

NBS Technical Note 910-3 (June1977).

1975 (1)

E. Collett, J. Opt. Soc. Am. 65, 1126 (1975).

1971 (1)

E. Collett, Am. J. Phys. 39, 517 (1971).
[CrossRef]

Collett, E.

E. Collett, J. Opt. Soc. Am. 65, 1126 (1975).

E. Collett, Am. J. Phys. 39, 517 (1971).
[CrossRef]

Landau, L. D.

L. D. Landau, E. M. Lifshitz, Quantum Mechanics (Pergamon, London, 1965), p. 14.

Lifshitz, E. M.

L. D. Landau, E. M. Lifshitz, Quantum Mechanics (Pergamon, London, 1965), p. 14.

Shurcliff, W. A.

W. A. Shurcliff, Polarized Light (Harvard U. P., Cambridge, Mass., 1962), p. 24.

Van de Hulst, H. C.

H. C. Van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957), p. 44.

Am. J. Phys. (1)

E. Collett, Am. J. Phys. 39, 517 (1971).
[CrossRef]

J. Opt. Soc. Am. (1)

E. Collett, J. Opt. Soc. Am. 65, 1126 (1975).

NBS Technical Note 910-3 (1)

NBS Technical Note 910-3 (June1977).

Other (4)

W. A. Shurcliff, Polarized Light (Harvard U. P., Cambridge, Mass., 1962), p. 24.

H. C. Van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957), p. 44.

L. D. Landau, E. M. Lifshitz, Quantum Mechanics (Pergamon, London, 1965), p. 14.

Melles Griot Optics Guide, Melles Griot, 1770 Kettering Street, Irvine, Calif. 92714 (1975) p. 171.

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Tables (2)

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Table I Positions and Values of Minimum and Maximum Signals and Degree of Polarization

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Table II Degree of Polarization Calculated from Mueller Matrices

Equations (14)

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[ S ] = [ S 1 S 2 S 3 S 4 ] total intensity of beam , excess in intensity transmitted by a linear polarizer horizontal over that transmitted by a linear polarizer vertical , excess in intensity transmitted by a linear polarizer at + 45 ° over that transmitted by a linear polarizer at - 45 ° , excess in intensity transmitted by a device which accepts right - handed circular polarization over that transmitted by a device which accepts left - handed circular polarization .
P = ( S 2 2 + S 3 2 + S 4 2 ) 1 / 2 / S 1 .
[ M ] × [ S ] = [ S ] [ M 11 M 12 M 13 M 14 M 21 M 22 M 23 M 24 M 31 M 32 M 33 M 34 M 41 M 42 M 43 M 44 ] × [ S 1 S 2 S 3 S 4 ] = [ S 1 S 2 S 3 S 4 ] .
[ 0.5 0.5 0 0 ] A Horizontal polarizer             [ 0.5 - 0.5 0 0 ] B Vertical polarizer             [ 0.5 0 0.5 0 ] C + 45 ° polarizer             [ 0.5 0 0 0.5 ] D Right - handed circular polarizer .
[ 0.3993 0.3901 0.0604 - 0.0152 ] A             [ 0.4496 - 0.4404 - 0.0310 0.0769 ] B             [ 0.4391 0.0205 0.4286 0.0309 ] C             [ 0.4553 - 0.0712 0.0147 0.4282 ] D .
M C = [ 0.8488 - 0.0503 0.0294 0.0617 - 0.0503 0.8304 0.0913 - 0.0920 0.0294 0.913 0.8277 0 0.0617 - 0.0920 0 0.7947 ] .
[ 0.3488 0.2057 - 0.0665 - 0.0464 ] A             [ 0.4111 - 0.2630 0.1049 0.1704 ] B             [ 0.3947 - 0.1192 0.2889 0.0560 ] C             [ 0.4392 - 0.1218 0.0333 0.3924 ] D .
M R = [ 0.8886 - 0.0131 0.0055 0.0786 - 0.0115 0.5762 - 0.2820 - 0.1668 0.0048 - 0.2809 0.6825 0.0026 0.0775 - 0.1672 0.0012 0.8061 ] .
M S = [ 0.7599 - 0.0623 0.0295 0.1185 - 0.0573 0.4687 - 0.1811 - 0.1863 0.0384 - 0.1714 0.5394 0.0282 0.1240 - 0.2168 - 0.0120 0.6608 ] .
P = maximum - minimum maximum + minimum .
[ 1 cos ( 2 θ ) sin ( 2 θ ) 0 ]
S 1 = M 11 + M 12 cos ( 2 θ ) + M 13 sin ( 2 θ ) .
[ 0.90 0.03 0 0 0.03 0.90 0 0 0 0 0 0 0 0 0 0 ] Collimator             [ 0.80 0.05 0 0 0.05 0.80 0 0 0 0 0 0 0 0 0 0 ] Radiometer             [ 0.7215 0.069 0 0 0.069 0.7215 0 0 0 0 0 0 0 0 0 0 ] System .
collimator 0.03333 , radiometer 0.06250 , system 0.09563.

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