Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extracting chromatic properties of electron beams from spectral analysis
  of turn-by-turn beam position data   A method to estimate linear chromaticity, RMS energy spread, and chromatic
beta-beating, directly from turn-by-turn beam position data in a circular
electron accelerator, is presented. This technique is based on frequency
analysis of a transversely excited beam, in the presence of finite
chromaticity. Due to the turn-by-turn chromatic modulation of the beam's
envelope, betatron sidebands appear around the main frequency of the Fourier
spectra. By determining the amplitude of both sidebands, chromatic properties
of the beam can be estimated. In this paper, analytical derivations justifying
the proposed method are given, along with results from tracking simulations. To
this end, results from practical applications of this technique at the KARA
electron ring are demonstrated.

2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph