Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the inverse scattering from anisotropic periodic layers and
  transmission eigenvalues   This paper is concerned with the inverse scattering and the transmission
eigenvalues for anisotropic periodic layers. For the inverse scattering
problem, we study the Factorization method for shape reconstruction of the
periodic layers from near field scattering data. This method provides a fast
numerical algorithm as well as a unique determination for the shape
reconstruction of the scatterer. We present a rigorous justification and
numerical examples for the factorization method. The transmission eigenvalue
problem in scattering have recently attracted a lot of attentions. Transmission
eigenvalues can be determined from scattering data and they can provide
information about the material parameters of the scatterers. In this paper we
formulate the interior transmission eigenvalue problem and prove the existence
of infinitely many transmission eigenvalues for the scattering from anisotropic
periodic layers.

32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an