Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Magnetic design study of coil-dominated superconducting quadrupole
  magnets based on racetrack coils   Several coil structures have been used in accelerator superconducting
quadrupole magnets, and cos2{\theta} quadrupole magnets are the most mature in
theoretical research and engineering applications. However, the cos2{\theta}
quadrupole magnet has a complicated coil structure, especially at the end of
the coil, which makes it difficult to apply strain-sensitive high-temperature
superconductors. Racetrack quadrupole magnets are friendly to high-temperature
superconductors. Field strength of iron-dominated racetrack magnets is limited
by the magnetic saturation of the iron poles. Therefore, coil-dominated
racetrack quadrupole magnets with simple geometry have become the focus of our
research. In this paper, analytical expressions of the magnetic field harmonics
related to racetrack quadrupole coil parameters are obtained. These expressions
are used to find the solution of coil geometry parameters with field harmonics
on the order of 10-4. Then, examples are given to build ideal quadrupole model
and verify the theoretical formulas. Next, the design and optimization of
example racetrack quadrupole magnets are completed in ROXIE. Finally, the
advantages and disadvantages of the racetrack coils and the cos2{\theta} coils
are compared and discussed.

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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
1
The categories of this paper are: cs
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The categories of this paper are: math
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph