2003
DOI: 10.1093/acprof:oso/9780198525547.001.0001
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Fundamentals of Beam Physics

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Cited by 57 publications
(51 citation statements)
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“…To accurately simulate realistic interactions between a high brightness electron beam and a laser pulse, and study their influence on high-precision Compton scattering light sources, a fully 3D code is required. For long, narrowband laser pulses, a direct approach, accounting for fine details in the correlated electron beam phase space [15], is computationally intensive. Instead, one can take advantage of the slow-varying pulse envelope, paraxial, and weakly nonlinear approximations to develop a local plane-wave model leading to analytical expressions for the electron 4-trajectory.…”
Section: Fig 1 Scale Invariant Nonlinear Spectrummentioning
confidence: 99%
“…To accurately simulate realistic interactions between a high brightness electron beam and a laser pulse, and study their influence on high-precision Compton scattering light sources, a fully 3D code is required. For long, narrowband laser pulses, a direct approach, accounting for fine details in the correlated electron beam phase space [15], is computationally intensive. Instead, one can take advantage of the slow-varying pulse envelope, paraxial, and weakly nonlinear approximations to develop a local plane-wave model leading to analytical expressions for the electron 4-trajectory.…”
Section: Fig 1 Scale Invariant Nonlinear Spectrummentioning
confidence: 99%
“…To include nonplane wave effects in the calculation, we consider the distribution of perpendicular k-vector components within the laser pulse focus as representing the spread in the direction of the incoming photons, while representing the laser focus within the paraxial approximation [26,27].…”
Section: B Laser Focus Effectsmentioning
confidence: 99%
“…Using the analogy of the Rayleigh range to the beta function of a particle beam focus, it is possible to express an effective 1=e 2 ''emittance'' of the laser beam as [26] …”
Section: B Laser Focus Effectsmentioning
confidence: 99%
“…Analogous to the Rayleigh length of a laser beam, the minimum β-function β * = γσ 2 y / N characterizes the beam size variation along the propagation, where γ is the Lorentz factor of the bunch, σ is the root-mean-square (RMS) bunch size and N is the normalized emittance. 23 In contrast, the ponderomotive force of the laser radial field also provides a confinement force for the electron bunch, similar to the effect of pushing the plasma electrons to concentrate in the center. The electron bunch will experience the maximum focusing force when it becomes synchronized with the peak of the laser pulse envelope.…”
Section: Introductionmentioning
confidence: 99%