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Volumn 75, Issue 1, 2007, Pages 25-35

The polarization of skylight: An example from nature

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EID: 33846342627     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.2360991     Document Type: Article
Times cited : (48)

References (47)
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    • The two viewpoints as to the cause of the scattering that gives rise to the color and polarization of skylight were first introduced by Lord Rayleigh (molecules) and A. Einstein (density fluctuations, Lord Rayleigh, On the transmission of light through an atmosphere containing small particles in suspension, and on the origin of the blue sky, Philos. Mag. 47, 375-384 1899
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    • In Eqs. (6) and (8) we have postulated the properties for the electric field of natural light. Then we used these properties to predict the action of the linear polarizer on this light. Historically, the opposite was true: The action of polarizers on natural light was used to infer the properties of the light. See, for example, G. G. Stokes, On the composition and resolution of streams of polarized light from different sources, Trans. Cambridge Philos. Soc. 9, 399-416 (1852);
    • In Eqs. (6) and (8) we have postulated the properties for the electric field of natural light. Then we used these properties to predict the action of the linear polarizer on this light. Historically, the opposite was true: The action of polarizers on natural light was used to infer the properties of the light. See, for example, G. G. Stokes, "On the composition and resolution of streams of polarized light from different sources," Trans. Cambridge Philos. Soc. 9, 399-416 (1852);
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    • We have discussed partially polarized light that is formed by adding linearly polarized light to natural light. Partially polarized light can be formed in other ways. For example, partially polarized light that is quasimonochromatic is formed by adding elliptically polarized light to natural light. The composition of partially polarized, quasi-monochromatic light can be determined by performing a series of measurements with a linear polarizer and a linear retarder. The details are given in M. Born and E. Wolf, Principles of Optics, 7th ed, Cambridge U. P, Cambridge, 1999, Chap. 10;
    • We have discussed partially polarized light that is formed by adding linearly polarized light to natural light. Partially polarized light can be formed in other ways. For example, partially polarized light that is quasimonochromatic is formed by adding elliptically polarized light to natural light. The composition of partially polarized, quasi-monochromatic light can be determined by performing a series of measurements with a linear polarizer and a linear retarder. The details are given in M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge U. P., Cambridge, 1999), Chap. 10;
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    • The scattering element (molecule) is in random motion with the speed v «c. We have assumed that this motion does not change the statistical properties of the field, and we have used the expression for the radiated field of a stationary dipole: G. S. Smith, An Introduction to Classical Electromagnetic Radiation Cambridge U. P, Cambridge, 1997, pp. 452-465
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    • The superscript sr is used to indicate that this is the scattered radiated field: the part of the scattered field that behaves as 1/r
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