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Title: Transverse forces in the CBETA v6/v6.5 magnets

Abstract

These 2D transverse force calculations were done for the following Halbach magnet types in the CBETA design as it currently stands (an implementation of the April 10, 2017 lattice). These magnets are made out of two longitudinally-­stacked layers of permanent magnet blocks.

Authors:
 [1]
  1. Brookhaven National Lab. (BNL), Upton, NY (United States)
Publication Date:
Research Org.:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1412727
Report Number(s):
BNL-114551-2017-IR
DOE Contract Number:
SC0012704
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS

Citation Formats

Brooks, S. Transverse forces in the CBETA v6/v6.5 magnets. United States: N. p., 2017. Web. doi:10.2172/1412727.
Brooks, S. Transverse forces in the CBETA v6/v6.5 magnets. United States. doi:10.2172/1412727.
Brooks, S. Fri . "Transverse forces in the CBETA v6/v6.5 magnets". United States. doi:10.2172/1412727. https://www.osti.gov/servlets/purl/1412727.
@article{osti_1412727,
title = {Transverse forces in the CBETA v6/v6.5 magnets},
author = {Brooks, S.},
abstractNote = {These 2D transverse force calculations were done for the following Halbach magnet types in the CBETA design as it currently stands (an implementation of the April 10, 2017 lattice). These magnets are made out of two longitudinally-­stacked layers of permanent magnet blocks.},
doi = {10.2172/1412727},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Fri Jun 16 00:00:00 EDT 2017},
month = {Fri Jun 16 00:00:00 EDT 2017}
}

Technical Report:

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  • These force calculations were done for the Halbach magnets for the CBETA “First Girder” as described in note [CBETA001] and purchased for the assembly of that girder.
  • A principle of the non-scaling Fixed Field Alternating Gradient (NS-FFAG) is that different energy beam has orbit oscillations Δx around the central circular orbit in both positive and negative direction within a small radial aperture as: Δx=D x*δp/p. For the central circular orbit Δx=0, or for the combined function magnets the field is equal to Bo (B (x) = B o + G* x). The smallest orbit offsets Δx are obtained when the defocusing magnet provides most of the bending for the central energy, while the focusing magnet could be even the regular quadrupole with the central orbit in themore » middle. Stable orbits for a very large energy range [in the case of CBETA this is 4 times in energy], is obtained using opposite polarity magnets producing linear magnetic fields, small dispersion, and very strong focusing.« less
  • The CBETA magnets will be marked by the manufacturer with two sides called “A” and “B”, as well as which part of the magnet is the “top” vertically. The significances of these sides are given in the table below.
  • A principle of the non-scaling Fixed Field Alternating Gradient (NS-FFAG) is that different energy beam has orbit oscillations Δx around the central circular orbit in both positive and negative direction within a small radial aperture as: Δx=D x *δp/p. For the central circular orbit Δx=0, or for the combined function magnets the field is equal to B o (B (x) = B o + G*x). The smallest orbit offsets Δx are obtained when the defocusing magnet provides most of the bending for the central energy, while the focusing magnet could be even the regular quadrupole with the central orbit inmore » the middle. Stable orbits for a very large energy range [in the case of CBETA this is 4 times in energy], is obtained using opposite polarity magnets producing linear magnetic fields, small dispersion, and very strong focusing.« less