A generalized method for calculating wake potentials

Napoly, O.; Chin, Y.H.; Zotter, B.

doi:10.1016/0168-9002(93)90782-d

Cited by 21 publications

(21 citation statements)

References 3 publications

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“…We use this useful feature for deforming of the integration path for wake potential calculations. Following Napoly et al [3], we introduce such one-form for an axisymmetric structure.…”

Section: The Basic Conceptmentioning

confidence: 99%

“…In their original method, the integration along the longitudinal direction on a straight line can be replaced by an integral along a contour beginning and ending on beam pipes by applying the Napoly-Zotter contour [3]. This is because the contribution of the radiated fields from z 1 and the source fields become zero for this specific structure.…”

Section: Introductionmentioning

confidence: 98%

“…The Napoly integration method was a solution for this classical problem of wake potential calculations in these structures [2,3]. In their original method, the integration along the longitudinal direction on a straight line can be replaced by an integral along a contour beginning and ending on beam pipes by applying the Napoly-Zotter contour [3].…”

Section: Introductionmentioning

confidence: 99%

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Generalized Napoly integral to compute wake potentials in axisymmetric structure

Shobuda

Chin

Takata

2008

Phys. Rev. ST Accel. Beams

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The Napoly integral is the very useful method for calculations of wake potentials in structures where parts of the boundary extend below the beam pipe radius or the radii of the two beam pipes at both ends are unequal. It reduces CPU time a lot by deforming the integration path so that the integration contour is confined to the finite length over the gap of the structures. However, the original Napoly method cannot be applied to the transverse wake potentials in a structure where the two beam tubes on both sides have unequal radii . In this case, the integration path needed to be a straight line and the integration is stretched out to an infinite, in principle. We generalize the Napoly integrals so that integrals are always confined in a finite length even when the two beam tubes have unequal radii, for both longitudinal and transverse wake potential calculations. The extended method has been successfully implemented to the ABCI code.

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“…We use this useful feature for deforming of the integration path for wake potential calculations. Following Napoly et al [3], we introduce such one-form for an axisymmetric structure.…”

Section: The Basic Conceptmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Generalized Napoly integral to compute wake potentials in axisymmetric structure

Shobuda

Chin

Takata

2008

Phys. Rev. ST Accel. Beams

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“…The structures under consideration are not cylindrically symmetric; nevertheless, the above forms are assumed in our calculations since the forms hold well for wake potentials near the cavity axis [18,32]. Our numerical calculations produce W z ðr; r 0 ; sÞ and W ⊥ ðr; r 0 ; sÞ; we plot the normalized wake potentials, X m ðsÞ and Y m ðsÞ, by extracting multipole contributions and dividing by the radial offsets of the drive bunch and wakefield sample points (details in next paragraph).…”

Section: A Wake Potential and Impedancementioning

confidence: 99%

“…The transverse wake potential [Eq. (5)] is zero when m ¼ 0; only modes with m > 0 mediate transverse kicks [32].…”

Section: A Wake Potential and Impedancementioning

confidence: 99%

Origin and reduction of wakefields in photonic crystal accelerator cavities

Bauer

Werner

Cary

2014

Phys. Rev. ST Accel. Beams

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Photonic crystal (PhC) defect cavities that support an accelerating mode tend to trap unwanted higherorder modes (HOMs) corresponding to zero-group-velocity PhC lattice modes at frequencies near the top of bandgaps. The effect is explained quite generally by photonic band and perturbation theoretical arguments. Transverse wakefields resulting from this effect are observed (via simulation) in a 12 GHz hybrid dielectric PhC accelerating cavity based on a triangular lattice of sapphire rods. These wakefields are, on average, an order of magnitude higher than those in the 12 GHz waveguide-damped Compact Linear Collider copper cavities. The avoidance of translational symmetry (and, thus, the bandgap concept) can dramatically improve HOM damping in PhC-based structures.

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