Beam envelope calculations in general linear coupled lattices

Chung, М.; Qin, Hong; Groening, L.; Davidson, Ronald C.; Xiao, Chen

doi:10.1063/1.4903457

Cited by 7 publications

(7 citation statements)

References 18 publications

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“…This behaviour is in full agreement to theoretical predictions from [14] and to tracking simulations with TRACK [20] using magnetic field maps. It is also in agreement with calculations that apply the recently developed 4d-envelope model for coupled lattices [21][22][23][24]. The observed emittance separation under variation of the solenoid field only, confirms that EMTEX is an one-knob tool for adjustable emittance partitioning.…”

Section: Methodssupporting

confidence: 87%

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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Section: Methodssupporting

confidence: 87%

Experimental Proof of Adjustable Single-Knob Ion Beam Emittance Partitioning

et al. 2014

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“…In this section, we present the method of time-dependent canonical transformation in preparation for the proof of Theorem 1 in the next section. It is necessary to emphasize again that the results and techniques leading to Theorem 1 have been reported previously in the context of charged particle dynamics in a general focusing lattice [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. These contents are included here for easy reference and self-consistency.…”

Section: Methods Of Time-dependent Canonical Transformationmentioning

confidence: 80%

“…Techniques of normal forms for stable symplectic matrices and horizontal polar decomposition for symplectic matrices are developed to prove Theorem 2. The results and techniques leading to Theorem 1 have been reported previously in the context of charged particle dynamics in a general focusing lattice [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. These contents are included here for easy reference and self-consistency.…”

Section: Introduction and Main Resultsmentioning

confidence: 93%

A necessary and sufficient condition for the stability of linear Hamiltonian systems with periodic coefficients

Qin

2019

Journal of Mathematical Physics

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Linear Hamiltonian systems with time-dependent coefficients are of importance to nonlinear Hamiltonian systems, accelerator physics, plasma physics, and quantum physics. It is shown that the solution map of a linear Hamiltonian system with time-dependent coefficients can be parameterized by an envelope matrix w(t), which has a clear physical meaning and satisfies a nonlinear envelope matrix equation. It is proved that a linear Hamiltonian system with periodic coefficients is stable iff the envelope matrix equation admits a solution with periodic √ w † w and a suitable initial condition. The mathematical devices utilized in this theoretical development with significant physical implications are time-dependent canonical transformations, normal forms for stable symplectic matrices, and horizontal polar decomposition of symplectic matrices. These tools systematically decompose the dynamics of linear Hamiltonian systems with time-dependent coefficients, and are expected to be effective in other studies as well, such as those on quantum algorithms for classical Hamiltonian systems.

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“…This is known as spontaneous PT-symmetry breaking. These eigenmode properties have been identified for applications in plasma physics and beam physics [23,24,31,[33][34][35][36].…”

Section: P T H = Hp T (25)mentioning

confidence: 99%

Spontaneous and explicit parity-time-symmetry breaking in drift wave instabilities

Qin,

Fu,

Glasser

et al. 2020

Preprint

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A method of Parity-Time (PT)-symmetry analysis is introduced to study the high dimensional, complicated parameter space of drift wave instabilities. We show that spontaneous PT-symmetry breaking leads to the Ion Temperature Gradient (ITG) instability of drift waves, and the collisional instability is the result of explicit PT-symmetry breaking. A new unstable drift wave induced by finite collisionality is identified. It is also found that gradients of ion temperature and density can destabilize the ion cyclotron waves when PT symmetry is explicitly broken by a finite collisionality.

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Beam envelope calculations in general linear coupled lattices

Cited by 7 publications

References 18 publications

Experimental Proof of Adjustable Single-Knob Ion Beam Emittance Partitioning

Experimental Proof of Adjustable Single-Knob Ion Beam Emittance Partitioning

A necessary and sufficient condition for the stability of linear Hamiltonian systems with periodic coefficients

Spontaneous and explicit parity-time-symmetry breaking in drift wave instabilities

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