Nonlinear Resonance Effects in a Linear Paul Trap

Takai, Ryota; Nakayama, Kenji; Saiki, Wataru; Ito, K.; Okamoto, Hiromi

doi:10.1143/jpsj.76.014802

Cited by 18 publications

(25 citation statements)

References 46 publications

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“…The actual Paul trap, however, contains mechanical alignment errors that can considerably amplify nonlinear components of all orders. In fact, we have observed particle losses due to low-order resonances associated with the m ¼ 3, 4, and 5 multipole terms which are not present in the ideal geometry [32].…”

Section: Nonlinear Applied Field Componentsmentioning

confidence: 76%

Experimental study of coherent betatron resonances with a Paul trap

Ohtsubo

Fujioka

Higaki

et al. 2010

Phys. Rev. ST Accel. Beams

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Linear and nonlinear resonant instabilities of charged-particle beams traveling in periodic quadrupole focusing channels are studied experimentally with a compact non-neutral plasma trap. The present experiments are based on the idea that the collective motion of a beam in an accelerator is physically similar to that of a one-component plasma in a trap. A linear Paul trap system named ''S-POD'' (simulator for particle orbit dynamics) was developed to explore a variety of space-charge-induced phenomena. To emulate lattice-dependent effects, periodic perturbations are applied to quadrupole electrodes, which gives rise to additional resonance stop bands that shift depending on the plasma density. It is confirmed that an mth-order resonance takes place when the corresponding tune of an mth-order collective mode m is close to a half integer.

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Section: Nonlinear Applied Field Componentsmentioning

confidence: 76%

Experimental study of coherent betatron resonances with a Paul trap

Ohtsubo

Fujioka

Higaki

et al. 2010

Phys. Rev. ST Accel. Beams

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“…where V 0 is the amplitude of oscillating AC potential and V DC is the static component. In the case of trapping potentials obtained in the linear, quadrupole trap, Equation 13 has approximate form obtained in the way presented in Section 2.1:…”

Section: Nonlinear Resonancesmentioning

confidence: 99%

“…If the trap's potential is not harmonic (which is true for real, not idealized devices), then some effects of nonlinear resonances can be observed, where ions rapidly gain kinetic energy from the trap's electric field. Such effects were noticed at early stages of development of ion trapping techniques and described in detail in numerous works on 3‐dimensional traps and only in few works on linear traps …”

Section: Introductionmentioning

confidence: 99%

“…Such effects were noticed at early stages of development of ion trapping techniques 3 and described in detail in numerous works on 3-dimensional traps [4][5][6][7][8][9][10][11] and only in few works on linear traps. 12,13 In spite of broad knowledge on the effects, such resonances have not been described for linear, segmented traps using short central segments of the electrodes. In this paper, we report the resonance effects observed in the trap designed for experiments with various atomic and molecular ion species produced in electron-impact ionization.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear resonances in linear segmented Paul trap of short central segment

et al. 2018

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Linear segmented Paul trap system has been prepared for ion mass spectroscopy experiments. A nonstandard approach to stability of trapped ions is applied to explain some effects observed with ensembles of calcium ions. Trap's stability diagram is extended to 3‐dimensional one using additional ∆a besides standard q and a stability parameters. Nonlinear resonances in (q, ∆a) diagrams are observed and described with a proposed model. The resonance lines have been identified using simple simulations and comparing the numerical and experimental results. The phenomenon can be applied in electron‐impact ionization experiments for mass identification of obtained ions or purification of their ensembles.

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“…For examples, low energy nonneutral plasmas have been confined with a uniform magnetic field, a toroidal magnetic field and a linear Paul trap for basic plasma physics research [3]. Argon ions confined in a linear Paul trap have been used to study nonlinear resonances of a space charge dominated charged particle beam [4,5]. Positrons accumulated in a Penning-Malmberg trap provided intense pulsed low energy positron beams [6].…”

Section: Introductionmentioning

confidence: 99%