Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linear Theory Analysis of Self-Amplified Parametric X-ray Radiation from
  High Current Density Electron Bunches   Linear theory of the parametric beam instability or the self-amplification of
parametric x-ray radiation (PXR) from relativistic electrons in a crystal is
considered taking into account finite emittance of the electron beam and
absorption of the radiation. It is shown that these factors change essentially
the estimation of threshold parameters of the electron bunches for the coherent
X-ray generation. The boundary conditions for the linear theory of the effect
is analyzed in details and it is shown that the grazing incidence diffraction
geometry is optimal for the growth of instability. Numerical estimations of
amplification and coherent photon yield in dependence on the electron current
density are presented for the case of mm-thickness Si crystal and 100 MeV
electrons. Possible improvements of the experimental scheme for optimization of
the coherent radiation intensity are discussed.

19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
18
The categories of this paper are: econ