Design of general apochromatic drift-quadrupole beam lines

Chromatic errors are normally corrected using sextupoles in regions of large dispersion. In low emittance linear accelerators, use of sextupoles can be challenging. Apochromatic focusing is a lesser-known alternative approach, whereby chromatic errors of Twiss parameters are corrected without the us...

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Main Authors: C. A. Lindstrøm, E. Adli
Format: Article
Language:English
Published: American Physical Society 2016-07-01
Series:Physical Review Accelerators and Beams
Online Access:http://doi.org/10.1103/PhysRevAccelBeams.19.071002
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author C. A. Lindstrøm
E. Adli
author_facet C. A. Lindstrøm
E. Adli
author_sort C. A. Lindstrøm
collection DOAJ
description Chromatic errors are normally corrected using sextupoles in regions of large dispersion. In low emittance linear accelerators, use of sextupoles can be challenging. Apochromatic focusing is a lesser-known alternative approach, whereby chromatic errors of Twiss parameters are corrected without the use of sextupoles, and has consequently been subject to renewed interest in advanced linear accelerator research. Proof of principle designs were first established by Montague and Ruggiero and developed more recently by Balandin et al. We describe a general method for designing drift-quadrupole beam lines of arbitrary order in apochromatic correction, including analytic expressions for emittance growth and other merit functions. Worked examples are shown for plasma wakefield accelerator staging optics and for a simple final focus system.
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spelling doaj.art-b60ed53691bf496599f8a265f01dd55b2022-12-22T03:36:47ZengAmerican Physical SocietyPhysical Review Accelerators and Beams2469-98882016-07-0119707100210.1103/PhysRevAccelBeams.19.071002Design of general apochromatic drift-quadrupole beam linesC. A. LindstrømE. AdliChromatic errors are normally corrected using sextupoles in regions of large dispersion. In low emittance linear accelerators, use of sextupoles can be challenging. Apochromatic focusing is a lesser-known alternative approach, whereby chromatic errors of Twiss parameters are corrected without the use of sextupoles, and has consequently been subject to renewed interest in advanced linear accelerator research. Proof of principle designs were first established by Montague and Ruggiero and developed more recently by Balandin et al. We describe a general method for designing drift-quadrupole beam lines of arbitrary order in apochromatic correction, including analytic expressions for emittance growth and other merit functions. Worked examples are shown for plasma wakefield accelerator staging optics and for a simple final focus system.http://doi.org/10.1103/PhysRevAccelBeams.19.071002
spellingShingle C. A. Lindstrøm
E. Adli
Design of general apochromatic drift-quadrupole beam lines
Physical Review Accelerators and Beams
title Design of general apochromatic drift-quadrupole beam lines
title_full Design of general apochromatic drift-quadrupole beam lines
title_fullStr Design of general apochromatic drift-quadrupole beam lines
title_full_unstemmed Design of general apochromatic drift-quadrupole beam lines
title_short Design of general apochromatic drift-quadrupole beam lines
title_sort design of general apochromatic drift quadrupole beam lines
url http://doi.org/10.1103/PhysRevAccelBeams.19.071002
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