Investigation of seismic vibrations and relative displacements of linear collider VLEPP elements

Baklakov, B.A.; Lebedev, Pavel; Parkhomchuk, V.V.; Sery, A.; Sleptsov, A I; Shiltsev, Vladimir

doi:10.1109/pac.1991.165258

Cited by 16 publications

(14 citation statements)

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“…Using a corrected version of the well-known ATL law [3], models of the ground motion have been developed in [5] and validated on experimental measurements, assuming that the ground motion is spatially homogenous. The general expression is given by…”

Section: àðL=2þmentioning

confidence: 99%

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Seismic response of linear accelerators

Collette

Artoos

Guinchard

et al. 2010

Phys. Rev. ST Accel. Beams

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This paper is divided into two parts. The first part presents recent measurements of ground motion in the LHC tunnel at CERN. From these measurements, an update of the ground motion model currently used in accelerator simulations is presented. It contains new features like a model of the lateral motion and the technical noise. In the second part, it is shown how this model can be used to evaluate the seismic response of a linear accelerator in the frequency domain. Then, the approach is validated numerically on a regular lattice, taking the dynamic behavior of the machine alignment stage and the mechanical stabilization of the quadrupoles into account.

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Section: àðL=2þmentioning

confidence: 99%

“…To this purpose, each of the electromagnets should be extremely stable and capable to point in the right direction. Actually, the main source of excitation is the ground vibrations transmitted to the quadrupoles [1][2][3]. They have basically two origins: earth activity and cultural noise.…”

Section: Introductionmentioning

confidence: 99%

Seismic response of linear accelerators

Collette

Artoos

Guinchard

et al. 2010

Phys. Rev. ST Accel. Beams

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“…In other words, the white noise in a magnet produces uncorrelated kicks on the beam, (b:.pnb:.Pm) == 0 if n =1= m, and (14) where 8 n ,m is the Kroneker symbol. Putting this equation into Equation (10) and performing the summation, one easily arrives at Equation (12) with the following L(v): (15) a This condition can always be met by proper choice of equilibrium closed orbit.…”

Section: Growth Ofthe Amplitude Ofthe Betatron Oscillationsmentioning

confidence: 99%

“…In accordance with the standard definition of beam emittance c, it is equal to the square of the offset ;2 averaged over the particle distribution function of the beam.b With c so defined one can rewrite Equation (12) in terms of emittance:…”

Section: Tune Spread and The Emittance Growthmentioning

confidence: 99%

Emittance growth due to noise and its suppression with the Feedback system in large hadron colliders

Lebedev¹,

Parkhomchuk²,

Shiltsev³

et al. 1993

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The problem of emittance growth due to random fluctuation of the magnetic field in hadron colliders is considered. Based on a simple one-dimensional linear model, a formula for emittance growth rate as a function of the noise spectrum is derived. Different sources of the noise are analyzed and their role is estimated for the Superconducting Super Collider (SSC). A theory of feedback suppression of the emittance growth is developed which predicts the residual growth of the emittance in the accelerator with a feedback system.

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“…According to the AT L rule [4], the power spectrum ρ(ω, L) of the uncorrelated motion of two points at a distance L is [3] …”

Section: The Simulation Modelmentioning

confidence: 99%