Introductory statistical mechanics for electron storage rings

Jowett, John

doi:10.1063/1.36374

Cited by 20 publications

(17 citation statements)

References 23 publications

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“…This is traditionally derived by simulating the stochastic photon emission with Gaussian white noise [7,8,9,10]. The same photon emission also imparts a stochastic element to Ω and then, via the T-BMT equation, spin diffusion (and thus depolarisation) can occur in the inhomogeneous fields of the ring [11,12,13].…”

Section: Introductionmentioning

confidence: 99%

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Spin transport, spin diffusion and Bloch equations in electron storage rings

Heinemann

Barber

2001

Nuclear Instruments and Methods in Physics Research Section A:

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Section: Introductionmentioning

confidence: 99%

“…This equation includes the effects of spin diffusion, the ST effect and also some "cross terms". At the same time they obtained the FP equation for the orbital motion with the same form as in [7,8,9]. The derivations based on the semiclassical radiation theory in [17] are very arduous but unavoidable for the ST part of the picture.…”

Section: Introductionmentioning

confidence: 99%

Spin transport, spin diffusion and Bloch equations in electron storage rings

Heinemann

Barber

2001

Nuclear Instruments and Methods in Physics Research Section A:

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“…Applying averaging method and keeping constant and slowly oscillating terms (Jowett kept constant, but omitted oscillating terms in [16]) yields equations of motion…”

Section: Solution Of Longitudinal Equations Of Motionmentioning

confidence: 99%

Dynamic aperture limitation in e+e− colliders due to synchrotron radiation in quadrupoles

Bogomyagkov

Sinyatkin

Glukhov

et al. 2019

Phys. Rev. Accel. Beams

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In a lepton storage ring of very high energy (e.g. in the e + e − Higgs factory) synchrotron radiation from quadrupoles constrains transverse dynamic aperture even in the absence of any magnetic nonlinearities. This was observed in tracking for LEP and the Future Circular e + e − Collider (FCCee). Here we describe a new mechanism of instability created by modulation of the particle energy at the double betatron frequency by synchrotron radiation in the quadrupoles. Energy modulation varies transverse focusing strength at the same frequency and creates a parametric resonance of the betatron oscillations with unusual properties. It occurs at arbitrary betatron frequency (the resonant detuning is always zero) and the magnitude of the parameter modulation of the betatron oscillation (strength of the resonance driving term) depends on the oscillation amplitude. Equilibrium between the radiation damping and the resonant excitation gives the boundary of the stable motion. Starting from 6d equations of motion we derive and solve the relevant differential equation describing the resonance, and show good agreement between analytical results and numerical simulation.

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“…Here, we assumed four 4 m long bending magnets inside the chicane each with 0.052 radian bending angle in order to reduce the increase of the uncorrelated energy spread. The uncorrelated rms energy spread D E induced by the incoherent synchrotron radiation inside a bending magnet can be estimated from [17] …”

Section: Attosecond X-ray Radiation Generation Using a Short-pulse Sementioning

confidence: 99%

Generation of attosecond coherent X-ray radiation through modulation compression

Qiang

2011

Journal of Modern Optics

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In this paper, we propose a scheme to generate tunable attosecond coherent X-ray radiation for future light source applications. This scheme uses a short-pulse seeding laser, two bunch compressors, and a laser chirper to generate a prebunched, kilo-Ampere current electron beam from an initial 10-Ampere low-current electron beam. Such an electron beam sent into a short undulator generates attosecond coherent soft X-ray radiation. The final X-ray radiation wavelength can be tuned by adjusting the compression factor. It also allows one to control the final radiation pulse length by controlling the seeding laser pulse length or the compression factor. As an illustration, we present an example to generate 1 GW, 200 attosecond, 1 nm coherent X-ray radiation from a 28 A current, 200 nm laser modulated beam.

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Introductory statistical mechanics for electron storage rings

Cited by 20 publications

References 23 publications

Spin transport, spin diffusion and Bloch equations in electron storage rings

Spin transport, spin diffusion and Bloch equations in electron storage rings

Dynamic aperture limitation in e+e− colliders due to synchrotron radiation in quadrupoles

Generation of attosecond coherent X-ray radiation through modulation compression

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