End effects in first-order theory of quadrupole lenses

Lee-Whiting, G.E.

doi:10.1016/0029-554x(69)90033-0

Cited by 18 publications

(9 citation statements)

References 4 publications

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“…Since their electromagnetic field is transversal inside the quadrupole, its refraction power is proportional to the field strength. This is the reason why elements are exclusively employed in high energy accelerators and storage rings [5]. A quadrupole lens focuses in one coordinate direction and defocuses in the other.…”

Section: Theoretical Considerationsmentioning

confidence: 99%

Behaviorof Ion Beams For Triplet Quadrupole Lenses

Majed

Kadhem

Abass

et al. 2017

MJS

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This research includes a study to understand the behavior of charged particles beam through consideration of systems of quadrupole triplet reaching to the optimum design of beam transport through a system of triplet quadrupole triplet lenses. In this work, tracing the path of charged particles beam has been within the free field space and quadrupole electrostatic lens system which include the triplet quadrupolelens by using matrices to described particle trajectories throughout the system. Matrix representation deals with ion beam as bunched and representing phase ellipse for both horizontal and vertical planes. The present work investigated the effect of the main parameters of triplet quadruple such as length of quadrupole, the distance between the lenses, voltage applying on lenses,second field free region length. Matlab program built to study these parameters, the results indicated that good focusing properties for both horizontal and vertical plane.

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Section: Theoretical Considerationsmentioning

confidence: 99%

Behaviorof Ion Beams For Triplet Quadrupole Lenses

Majed

Kadhem

Abass

et al. 2017

MJS

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“…The upper sign (minus) in H 21 is for focusing, while the lower sign (plus) for defocusing. This relationship leads to a transcendental equation for ' [6,19]:…”

Section: B Lens Parameters and Hard Edge Modelsmentioning

confidence: 99%

“…First, the hard edge parameters k 0 , L, and k 0 L in the first-order focusing and defocusing models are slightly different. Thus, we need in principle two different hard edge models for focusing and defocusing, rather than one in the conventional treatment [6,19]. This may be very inconvenient in applying these models in the lattice design codes such as TRANSPORT [26] and MAD [27].…”

Section: Particle Optics In a Single 30q44mentioning

confidence: 99%

“…Third, the product of the hard edge height and length is not quite the same as the integrated focusing function. The relationship is held only for the geometric mean value between the first-order focusing and defocusing models [6]. Fourth, as a result of all the above differences, the lens parameters also differ from that in the conventional hard edge model.…”

Section: Particle Optics In a Single 30q44mentioning

confidence: 99%

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Particle optics of quadrupole doublet magnets in Spallation Neutron Source accumulator ring

Wang

2006

Phys. Rev. ST Accel. Beams

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The Spallation Neutron Source ring employs doublet quadrupoles and dipole correctors in its straight sections. The electromagnetic quadrupoles have a large aperture, small aspect ratio, and relatively short iron-to-iron distance. The corrector is even closer to one of the quads. There have been concerns on the magnetic fringe field and interference in the doublet magnets and their assemblies. We have performed 3D computing simulations to study magnetic field distributions in the doublet magnets. Further, we have analyzed the particle optics based on the z-dependent focusing functions of the quads. The effect of the magnetic fringe field and interference, including the third-order aberrations, on the particle motion are investigated. The lens parameters and the first-order hard edge models are derived and compared with the parameters used in the ring lattice calculations.

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“…Fringe field effects are a major source of discrepancy between the lattice model and a real machine. Traditionally quadrupole magnets are often modeled as hard edge elements in lattice codes, although the impact of fringe fields to linear and nonlinear optics has been previously studied theoretically [21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Comprehensive comparison of two tracking codes for single-particle dynamics evaluation of a next-generation storage ring light source

Borland

Sun

Huang

2019

Phys. Rev. Accel. Beams

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Next-generation light sources based on the multibend achromat concept place great reliance on the accuracy of beam dynamics modeling. To ensure the success of such light sources, confirmation of design performance with at least two independent codes is prudent. The APS Upgrade (APS-U) lattice has been designed using the code ELEGANT, which has existing and new features that are needed by the design. Corresponding, independent improvements have recently been made to the accelerator toolbox (AT), in order to permit an independent check of nonlinear dynamics predictions. The new developments include the modeling of combined-function bending magnets with straight geometry and improved fringe field effects of quadrupole magnets. Calculations of linear and nonlinear lattice parameters and particle tracking results were compared, showing remarkable agreement was found between the two independently developed codes. This provides significant confirmation of the feasibility of the APS-U design.

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End effects in first-order theory of quadrupole lenses

Cited by 18 publications

References 4 publications

Behaviorof Ion Beams For Triplet Quadrupole Lenses

Behaviorof Ion Beams For Triplet Quadrupole Lenses

Particle optics of quadrupole doublet magnets in Spallation Neutron Source accumulator ring

Comprehensive comparison of two tracking codes for single-particle dynamics evaluation of a next-generation storage ring light source

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