Second-order achromat design based on FODO cell

Sun, Yipeng

doi:10.1103/PhysRevSTAB.14.060703

Title: Second-order achromat design based on FODO cell

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Authors:: Sun, Yipeng

Publication Date:: Mon Jun 13 00:00:00 EDT 2011

Sponsoring Org.:: USDOE

OSTI Identifier:: 1099568

Resource Type:: Published Article

Journal Name:: Physical Review Special Topics - Accelerators and Beams

Additional Journal Information:: Journal Volume: 14; Journal Issue: 6; Journal ID: ISSN 1098-4402

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

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                    Sun, Yipeng. Second-order achromat design based on FODO cell.  United States: N. p., 2011. 
Web.  doi:10.1103/PhysRevSTAB.14.060703.

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                    Sun, Yipeng. Second-order achromat design based on FODO cell.  United States.  https://doi.org/10.1103/PhysRevSTAB.14.060703

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                    Sun, Yipeng. Mon .  
"Second-order achromat design based on FODO cell".  United States.  https://doi.org/10.1103/PhysRevSTAB.14.060703.

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@article{osti_1099568,

  title        = {Second-order achromat design based on FODO cell},

  author       = {Sun, Yipeng},

  abstractNote = {},

  doi          = {10.1103/PhysRevSTAB.14.060703},

  journal      = {Physical Review Special Topics - Accelerators and Beams},

  number       = 6,

  volume       = 14,

  place        = {United States},

  year         = {Mon Jun 13 00:00:00 EDT 2011},

  month        = {Mon Jun 13 00:00:00 EDT 2011}

}

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A Second-Order Achromat Design Based on FODO Cell

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Two dipole doglegs are widely used to translate the beam axis horizontally or vertically. Quadrupoles are placed between the two consecutive dipoles to match first order dispersion and provide betatron focusing. Similarly a four dipole chicane is usually employed to form a bypass region, where the beam axis is transversely shifted first, then translated back to the original axis. In order to generate an isochronous section, quadrupoles are again needed to tune the first order transfer matrix element R{sub 56} equaling zero. Usually sextupoles are needed to correct second order dispersion in the bending plane, for both the dogleg opticsmore »« less
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An achromat is a transport system that carries a beam without distorting its transverse phase space distribution. In this study, we apply the Lie algebraic technique to a repetitive FODO array to make it either a second-order or a third-order achromat. (Achromats based on reflection symmetries are not studied here.) We consider third-order achromats whose unit FODO cell layout is shown. The second-order achromat layout is the same, except the octupoles are absent. For the second-order achromats, correction terms (due to the finite bending of the dipoles) to the well-known formulae for the sextupole strengths are derived. For the third-ordermore »« less
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