The scattered intensity from large spheres with a real part of the refractive index of
An exact kinematic law for the motion of disclination lines in nematic liquid crystals as a function of the tensor order parameter
 Award ID(s):
 1838977
 NSFPAR ID:
 10472798
 Publisher / Repository:
 Royal Society London
 Date Published:
 Journal Name:
 Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
 Volume:
 479
 Issue:
 2273
 ISSN:
 13645021
 Format(s):
 Medium: X
 Sponsoring Org:
 National Science Foundation
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$n=1.33,1.5,2.0$ is investigated as the radius$R$ and an imaginary part of the refractive index$\mathrm{\kappa <\#comment/>}$ are varied. It is shown that the product of$\mathrm{\kappa <\#comment/>}$ and the size parameter$kR$ ,$\mathrm{\kappa <\#comment/>}\mathit{\text{kR}}$ , is a universal parameter describing the quenching of the refraction phenomenon of the scattered light: the refraction hump, the generalized rainbows, and the glory. The physical reason for this is that$\mathrm{\kappa <\#comment/>}\mathit{\text{kR}}$ is the inverse of the relative skin depth of light penetration into the sphere, which is demonstrated by calculations of the internal fields that darken universally as$\mathrm{\kappa <\#comment/>}\mathit{\text{kR}}$ increases. 
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