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Small-angle scattering of polarized light. IV. Isotropic to birefringent transition for spheres

Abstract : The Rayleigh-Gans-Debye approximation is used to investigate the small-angle, cross-polarized light scattering by a sphere of radius a, birefringence Δμ and relative index μ. If θmax is the polar scattering angle of the intensity maxima, the quantity Ûmax = 4πa/λ × sin (θmax/2) behaves in two different ways according to the signs of Δμ and μ − 1. When Δμ > 0, μ > 1 or Δμ < 0, μ < 1, then Ûmax varies from 2.8 to 4.1 as Δμ increases from zero. If Δμ < 0, μ > 1 or Δμ > 0, μ < 1, then Ûmax goes from 2.8 to about 6, thereafter decreasing to 4.1. Another interesting result is that the value of Ûmax for a highly briefringent sphere is 4.1 only for large diameters. It decreases to 4.0 when the diameter decreases.
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Submitted on : Monday, February 20, 2012 - 2:27:32 PM
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Edith Peuvrel-Disdier, Dominique Siegert, Patrick Navard, Gerald H. Meeten. Small-angle scattering of polarized light. IV. Isotropic to birefringent transition for spheres. Journal of Polymer Science Part B: Polymer Physics, Wiley, 1992, 30 (8), p. 865-869. ⟨10.1002/polb.1992.090300808⟩. ⟨hal-00672057⟩

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