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Magnets and Magnetic Field Effects

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Accelerator Physics at the Tevatron Collider

Part of the book series: Particle Acceleration and Detection ((PARTICLE))

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Abstract

The magnets of the circular accelerators that comprise the Fermilab complex have contributed to, responded to, and solved a string of accelerator physics issues. Most importantly, the magnets are supposed to generate high quality magnetic fields needed for stable long-term dynamics of the particles circulating in the rings. The quality of the transverse magnetic field B is given by the multipole coefficients in the expansion:

$$ {B}_x+i\cdot {B}_y={B}_0{\displaystyle \sum_{n=0}\left({b}_n+i{a}_n\right){\left[\frac{x+ iy}{R_0}\right]}^n}, $$
(3.1)

where R 0 is the reference radius (1 in. in the Fermilab accelerators), the pole number is 2(n + 1) and b n (a n ) are the normal (skew) multipole coefficients, and b 0 is unity. For example, the multipoles allowed by dipole symmetry, b 2, b 4, b 6, … are designed to be small and would be 0 for a pure cos θ coil winding. The precise coil placement, and hence good magnetic field uniformity at the relative level of the multipole coefficients of few 10−4, had the biggest effect on the accelerator performance.

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Authors and Affiliations

  1. Fermi National Accelerator Laboratory, 500, Batavia, IL, 60510, USA

    J. Annala, D. Harding, V. Shiltsev, M. Syphers & J. Volk

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  1. J. Annala
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  2. D. Harding
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  3. V. Shiltsev
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  4. M. Syphers
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  5. J. Volk
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Correspondence to V. Shiltsev .

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Editors and Affiliations

  1. Accelerator Division, Fermi National Accelerator Laboratory, Batavia, Illinois, USA

    Valery Lebedev

  2. Accelerator Physics Center, Fermi National Accelerator Laboratory, Batavia, Illinois, USA

    Vladimir Shiltsev

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Annala, J., Harding, D., Shiltsev, V., Syphers, M., Volk, J. (2014). Magnets and Magnetic Field Effects. In: Lebedev, V., Shiltsev, V. (eds) Accelerator Physics at the Tevatron Collider. Particle Acceleration and Detection. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-0885-1_3

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