Geometrical interpretation of nonlinearities from a cylindrical pick-up

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In many accelerators, cylindrical pick-ups are used to measure transverse beam positions. Theoretically, signals from these pick-ups are related to infinite power series of the beam position but, in practice, only finite number of terms are considered and the position measurements degrade when a beam is far from the center of a pick-up. This paper shows there is actually a simple geometrical relation between a beam position and induced signals. With help of the geometrical relation, the beam position can be written in a compact function of signals. The paper is concluded with numerical simulations and a test to show ... continued below

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3 pages

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Miyamoto, R.; Kopp, S.E.; U., /Texas; Jansson, A.; Syphers, M.J. & /Fermilab June 1, 2007.

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In many accelerators, cylindrical pick-ups are used to measure transverse beam positions. Theoretically, signals from these pick-ups are related to infinite power series of the beam position but, in practice, only finite number of terms are considered and the position measurements degrade when a beam is far from the center of a pick-up. This paper shows there is actually a simple geometrical relation between a beam position and induced signals. With help of the geometrical relation, the beam position can be written in a compact function of signals. The paper is concluded with numerical simulations and a test to show this geometry based expression can calculate a beam position better than the conventional methods.

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3 pages

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  • Journal Name: Conf.Proc.C070625:3862,2007; Conference: Presented at Particle Accelerator Conference (PAC 07), Albuquerque, New Mexico, 25-29 Jun 2007

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  • Report No.: FERMILAB-CONF-07-337-AD-APC
  • Grant Number: AC02-07CH11359
  • Office of Scientific & Technical Information Report Number: 922015
  • Archival Resource Key: ark:/67531/metadc902572

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Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

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  • June 1, 2007

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  • Sept. 27, 2016, 1:39 a.m.

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  • Nov. 28, 2016, 6:41 p.m.

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Miyamoto, R.; Kopp, S.E.; U., /Texas; Jansson, A.; Syphers, M.J. & /Fermilab. Geometrical interpretation of nonlinearities from a cylindrical pick-up, article, June 1, 2007; Batavia, Illinois. (digital.library.unt.edu/ark:/67531/metadc902572/: accessed November 24, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.