First- and second-order charged particle optics

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Since the invention of the alternating gradient principle there has been a rapid evolution of the mathematics and physics techniques applicable to charged particle optics. In this publication we derive a differential equation and a matrix algebra formalism valid to second-order to present the basic principles governing the design of charged particle beam transport systems. A notation first introduced by John Streib is used to convey the essential principles dictating the design of such beam transport systems. For example the momentum dispersion, the momentum resolution, and all second-order aberrations are expressed as simple integrals of the first-order trajectories (matrix elements) ... continued below

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Pages: 39

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Brown, K.L. & Servranckx, R.V. July 1, 1984.

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Description

Since the invention of the alternating gradient principle there has been a rapid evolution of the mathematics and physics techniques applicable to charged particle optics. In this publication we derive a differential equation and a matrix algebra formalism valid to second-order to present the basic principles governing the design of charged particle beam transport systems. A notation first introduced by John Streib is used to convey the essential principles dictating the design of such beam transport systems. For example the momentum dispersion, the momentum resolution, and all second-order aberrations are expressed as simple integrals of the first-order trajectories (matrix elements) and of the magnetic field parameters (multipole components) characterizing the system. 16 references, 30 figures.

Physical Description

Pages: 39

Notes

NTIS, PC A03/MF A01.

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  • 3. annual summer school on high energy accelerators, Upton, NY, USA, 6 Jul 1983

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  • Other: DE85006310
  • Report No.: SLAC-PUB-3381
  • Report No.: CONF-8307126-3
  • Grant Number: AC03-76SF00515
  • Office of Scientific & Technical Information Report Number: 6252982
  • Archival Resource Key: ark:/67531/metadc1112247

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Office of Scientific & Technical Information Technical Reports

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  • July 1, 1984

Added to The UNT Digital Library

  • Feb. 22, 2018, 7:45 p.m.

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  • March 23, 2018, 4:22 p.m.

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Brown, K.L. & Servranckx, R.V. First- and second-order charged particle optics, article, July 1, 1984; United States. (digital.library.unt.edu/ark:/67531/metadc1112247/: accessed July 20, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.