On one-dimensional inverse problems arising from polarimetric measurements of nematic liquid crystals
摘要：
We revisit the problem of determining dielectric parameters in layered nematic liquid crystals from polarimetric measurements originally introduced by Lionheart and Newton. After a detailed analysis of the model, of the scales involved, and of natural obstacles to the reconstruction of more than one dielectric parameters, we produce two simple one-dimensional inverse problems which can be studied without any expertise in liquid crystals. We then confirm that very little can be recovered about the internal configuration of smooth dielectric parameters from these measurements, and give a uniqueness result for one of the two problem, when the unknown parameter satisfies a monotonicity property. In that case, the available data can be expressed in terms of Laplace and Hankel transforms.
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关键词：
Theoretical or Mathematical, Experimental/ dielectric liquids inverse problems nematic liquid crystals polarimetry/ Hankel transforms Laplace transforms layered nematic liquid crystals dielectric parameters polarimetric measurements one dimensional inverse problems/ A6130 Liquid crystals A0760F Optical polarimetry and ellipsometry A0200 Mathematical methods in physics
DOI：
10.1088/0266-5611/29/12/125003
被引量：
年份：
2013
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