Magnetic Field Expansion Out of a Plane: Application to Inverse Cyclotron Muon Cooling

2011/05/13 by T. Hart, T. L. Hart, Hart, T. L. +4
Engineering · Physics and Astronomy · #Accelerator Physics (physics.acc-ph) #FOS: Physical sciences #Particle Accelerators and Free-Electron Lasers #Particle accelerators and beam dynamics #Superconducting Materials and Applications #physics.acc-ph

paper · pdf · doi:10.48550/arxiv.1105.2754

arxiv created 2011/05/13 · openalex publication_date 2011/05/13 · arxiv updated 2011/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In studies of the dynamics of charged particles in a cyclotron magnetic field, the specified field is generally B_z in the z = 0 midplane where B_r and B_theta are zero. B_r(r, theta, z) and B_theta(r, theta, z) are simple to determine through a linear expansion which assumes that B_z is independent of z. But, an expansion to only first order may not be sufficient for orbit simulations at large z. This paper reviews the expansion of a specified B_z(r, theta, z = 0) out of the z = 0 midplane to arbitrary order, and shows simple examples worked out to 4th order.

Citations

• rf Breakdown with and without External Magnetic Fields
• VORPAL: a versatile plasma simulation code
• Muon collider interaction region design

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