Scattering of polarized light

Holland, A. C., and G. Gagne, 1970. The scattering of polarized light by polydisperse systems of irregular particles, Appl. Opt., 9, 1113-1121. 

Scattering and other forms of spectroscopy Rely on the fact that electromagnetic radiation has other interactions with matter beyond that of simple absorption and emission. These interactions generate other measurable quantities such as scattering of polarized light (e.g. circular dichroism), and changes of spectral features of chemical bonds (e.g. Raman spectroscopy). 

Having obtained an expression for the scattering of polarized light from a single oscillator we can now consider unpolarized light, then consider a dilute collection of such oscillators, as in a gas, and finally get to where we re going liquids and solutions. 

Meeten GH, Navard P. Small-angle scattering of polarized light. 1. Comparison of theoretical predictions for isotropic and anisotropic spheres. J Polym Sci B 1989 27 2023-2035. 

The sin 0 terms in Eqs. (10.25) and (10.26) arise from the consideration of polarized light. The light scattered by polarized incident light is also polarized in the same direction, so the term 1 + cos 0 in Eq. (10.30) describes the overall polarization of the scattered light. Before we lose sight of the individual contributions to this, it will be helpful to consider this polarization somewhat further. This is done in the following example. 

An important experimental quantity for studying molecular interactions in gases and liquids is the scattering of laser light. When polarized light is scattered by a fluid, both polarized and depolarized components are produced. The depolarized spectrum is several orders of magnitude less intense than the polarized spectrum and much more difficult to observe. A great deal of information has been obtained about molecular motions from such spectral analyses. 

Figure 13.4 Scattering of unpolarized light by spheres. The top curves show the angular distribution of the scattered light and the bottom curves its degree of polarization. From Hansen and Travis (1974) copyright 1974 by D. Rcidel Publishing Company. Dordrecht. Holland.

Banderman, L. W., and J. C. Kemp, 1973. Circular polarization by single scattering of unpolarized light from loss-less non-spherical particles, Mon. Not. R. Astron. Soc., 162, 367-377. 

Sassen, K., and K. N. Liou, 1979. Scattering of polarized laser light by water droplet, mixed-phase and ice crystal clouds Part I. Angular scattering patterns, J. Atmos. Sci., 36, 838-852. 

Ramella- Roman JC, Prahl SA, Jacques SL. Three Monte Carlo programs of polarized light transport into scattering media part I. Optics Express 2005, 13, 4420-4438. 

The scattering of unpolarized light can be handled by considering the incident beam to consist of two components of equal intensity, one polarized along the z-axis and the other along the y-axis in the preceding figures. We then get Equation 12-27 ... 

In the above equations, no account has been made for the use of polarized light that Is typically used In SALS. In a classic SALS experiment, the Incident light Is vertically polarized, and the scattered radiation Is passed through a second rotatable polarizer referred to as the analyzer. Stein and Rhodes ( ) give the relationship for the amplitude of a scattered ray of polarized light (E)... 

The use of polarized light in Raman spectroscopy allows to identify amorphous phases, crystallinity, isotropy, and in general to test selection rules of the investigated structure. The Raman spectra measured from the rubrene matrix material were found to be independent of light polarization and also the scattered light was left unpolarized (z(yu)z ). That means no preferred orientation exist in this part of the rubrene layer. Therefore we called it the amorphous matrix. 

Let us consider the scattering of a light beam that is linearly polarized in direction OX. It will be convenient to calculate the scattered flux in the representation defined by the parameters... 

The expression (V.39) for turbidity does not contain any information on polarization of light, and hence it can be applied to the scattering of unpolarized light as well. 

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