Concept for controlled transverse emittance transfer within a linac ion beam

Groening, L.

doi:10.1103/physrevstab.14.064201

Cited by 19 publications

(25 citation statements)

References 11 publications

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“…[2][3][4] Interestingly, one of the recent trends in the beam physics community is to introduce coupling elements between two planes intentionally for sophisticated beam manipulations. [5][6][7][8][9] Several ideas have been proposed to generalize the original CS theory for the systematic beam dynamics description of such coupled systems with as much similarity as possible to the original CS theory. 6,10,11 In recent papers, 12,13 the dynamics of charged particles in general linear coupled lattices has been formulated in terms of a generalized CS theory, which extends the original CS theory to the fully coupled cases.…”

Section: Introductionmentioning

confidence: 99%

Beam envelope calculations in general linear coupled lattices

et al. 2015

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The envelope equations and Twiss parameters (b and a) provide important bases for uncoupled linear beam dynamics. For sophisticated beam manipulations, however, coupling elements between two transverse planes are intentionally introduced. The recently developed generalized CourantSnyder theory offers an effective way of describing the linear beam dynamics in such coupled systems with a remarkably similar mathematical structure to the original Courant-Snyder theory. In this work, we present numerical solutions to the symmetrized matrix envelope equation for b which removes the gauge freedom in the matrix envelope equation for w. Furthermore, we construct the transfer and beam matrices in terms of the generalized Twiss parameters, which enables calculation of the beam envelopes in arbitrary linear coupled systems. V C 2015 AIP Publishing LLC.

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Section: Introductionmentioning

confidence: 99%

Beam envelope calculations in general linear coupled lattices

et al. 2015

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“…Application of this concept to ion beams is proposed in Refs. [5][6][7]. Exchange between the longitudinal and one transverse plane was considered and/or demonstrated in Refs.…”

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confidence: 99%

“…[7,15] instead offers a tool to arbitrarily choose the final emittances as long as their product is kept constant. It changes the set of eigenemittances.…”

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confidence: 99%

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Experimental Proof of Adjustable Single-Knob Ion Beam Emittance Partitioning

et al. 2014

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The performance of accelerators profits from phase-space tailoring by coupling of degrees of freedom. Previously applied techniques swap the emittances among the three degrees but the set of available emittances is fixed. In contrast to these emittance exchange scenarios, the emittance transfer scenario presented here allows for arbitrarily changing the set of emittances as long as the product of the emittances is preserved. This Letter is the first experimental demonstration of transverse emittance transfer along an ion beam line. The amount of transfer is chosen by setting just one single magnetic field value. The envelope functions (beta) and slopes (alpha) of the finally uncorrelated and repartitioned beam at the exit of the transfer line do not depend on the amount of transfer.

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“…The theoretical framework and analytical tools developed in the present study are also expected to be effective for the current theoretical and experimental investigations of emittance exchange technologies. [44][45][46][47][48][49][50] …”

Section: Discussionmentioning

confidence: 99%

Spectral and structural stability properties of charged particle dynamics in coupled latticesa)

et al. 2015

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It has been realized in recent years that coupled focusing lattices in accelerators and storage rings have significant advantages over conventional uncoupled focusing lattices, especially for high-intensity charged particle beams. A theoretical framework and associated tools for analyzing the spectral and structural stability properties of coupled lattices are formulated in this paper, based on the recently developed generalized Courant-Snyder theory for coupled lattices. It is shown that for periodic coupled lattices that are spectrally and structurally stable, the matrix envelope equation must admit matched solutions. Using the technique of normal form and pre-Iwasawa decomposition, a new method is developed to replace the (inefficient) shooting method for finding matched solutions for the matrix envelope equation. Stability properties of a continuously rotating quadrupole lattice are investigated. The Krein collision process for destabilization of the lattice is demonstrated. V C 2015 AIP Publishing LLC. [http://dx

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Concept for controlled transverse emittance transfer within a linac ion beam

Cited by 19 publications

References 11 publications

Beam envelope calculations in general linear coupled lattices

Beam envelope calculations in general linear coupled lattices

Experimental Proof of Adjustable Single-Knob Ion Beam Emittance Partitioning

Spectral and structural stability properties of charged particle dynamics in coupled latticesa)

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