Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On one dimensional inverse problems arising from polarimetric
  measurements of nematic liquid crystals   We revisit the problem of determining dielectric parameters in layered
nematic liquid crystals from polarimetric measurements originally introduced by
Lionheart & 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.

31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph