The light-scattering Mueller matrices for Rayleigh and Rayleigh-Gans-Debye approximation

1990 ◽  
Vol 55 (12) ◽  
pp. 2889-2897
Author(s):  
Jaroslav Holoubek

Recent theoretical work has shown that the complete set of polarized elastic light-scattering studies should yield information about scatterer structure that has so far hardly been utilized. We present here calculations of angular dependences of light-scattering matrix elements for spheres near the Rayleigh and Rayleigh-Gans-Debye limits. The significance of single matrix elements is documented on examples that show how different matrix elements respond to changes in particle parameters. It appears that in the small-particle limit (Rg/λ < 0.1) we do not loose much information by ignoring "large particle" observables.

Recent theoretical work by Peierls and by Jones has shown that the anomalous behaviour of bismuth is probably due to the critical nature of its electronic structure. One consequence of this is that the electronic structure of pure bismuth is very sensitive to the addition of small concentrations of other elements, and Goetz and Focke have shown that this sensitivity is reflected in the magnetic properties, while Thompson,§ more recently, has shown in the electrical properties also. Since the effect of such admixtures is essentially to vary the electronic structure of the bismuth, a study of their influence on various physical phenomena may be expected of yield information both about the electronic structure and about the mechanism of the phenomena. We have investigated from this point of view the nature of the temperature dependence of the susceptibility of bismuth, and also the periodic field dependence of susceptibility at low temperatures discovered by de Haas and van Alphen; in both cases, no very detailed interpretation of the results is at present possible, but it is to be hoped that the experimental data will be of use in guiding future theoretical development.


2021 ◽  
Author(s):  
Danaël Cholleton ◽  
Émilie Bialic ◽  
Antoine Dumas ◽  
Pascal Kaluzny ◽  
Patrick Rairoux ◽  
...  

Abstract. Pollens are nowadays recognized as one of the main atmospheric particles affecting public human health as well as the Earth's climate. In this context, an important issue concerns our ability to detect and differentiate among the existing pollen taxa. In this paper, the potential differences that may exist in light scattering by four of the most common pollen taxa, namely ragweed, birch, pine and ash, are analysed in the framework of the scattering matrix formalism at two wavelengths simultaneously (532 and 1064 nm). Interestingly, our laboratory experimental error bars are precise enough to show that these four pollens, when embedded in ambient air, exhibit different spectral and polarimetric light scattering characteristics, in the form of ten scattering matrix elements (five per wavelength), which allow identifying each separately. To end with, a simpler light scattering criterion is proposed for classifying among the four considered pollens by performing a principal component (PC) analysis, that still accounts for more than 99 % of the observed variance. We thus believe this work may open new insights for future atmospheric pollen detection.


1972 ◽  
Vol 33 (C1) ◽  
pp. C1-169-C1-169
Author(s):  
Y. YEY ◽  
T. M. SCHUSTER ◽  
D. A. YPHANTIS

1992 ◽  
Vol 128 ◽  
pp. 56-77 ◽  
Author(s):  
Jonathan Arons

AbstractI survey recent theoretical work on the structure of the magnetospheres of rotation-powered pulsars, within the observational constraints set by their observed spindown, their ability to power synchrotron nebulae and their ability to produce beamed collective radio emission, while putting only a small fraction of their energy into incoherent X- and gamma radiation. I find no single theory has yet given a consistent description of the magnetosphere, but I conclude that models based on a dense outflow of pairs from the polar caps, permeated by a lower density flow of heavy ions, are the most promising avenue for future research.


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