Texture Refinement in a Sheared Liquid-Crystalline Polymer

Introduction. There has been much recent interest in the optical properties of textured anisotropic materials. Birefringence has been used to study th...
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Macromolecules 1994,27, 2327-2329

Texture Refinement in a Sheared Liquid-Crystalline Polymer

polarization induced by a single grain is characterized by its 2 X 2 Jones matrix?

Mj = W. R. Burghardt' and K. Hongladarom Department of Chemical Engineering, Northwestern University, Evamton, Illinois 60208 Received October 5, 1993 Revised Manuscript Received January 26, 1993

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Analysis We adopt the problem description and notation of Balsara et al.7 A composite sample consists of N optically uniaxial grains,each oriented at polar and azimuthalangles Oj and +j with respect to a Cartesian coordinate system where light propagates along the z axis. Here we treat the case where grains are only slightly misaligned away from the 2 axis, SO that +j is small, and Oj = z/2 + 9,where pj is small. Keeping only terms O(+?), the change in

* To whom correspondence should be addressed.

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For small birefringence IAnl = In, - n,l