1992
DOI: 10.1007/3-540-55250-2
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Frontiers of Particle Beams: Intensity Limitations

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Cited by 19 publications
(6 citation statements)
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“…The scalar z b describes the relationship between the beam current i and the voltage v seen by the beam when no waveguide mode is excited. As a result of (4) and (5), this coefficient is the commonly known longitudinal impedance [23]. The quantities h, k and z b do depend on the transversal offsets x b and y b .…”
Section: A Generalization Of Scattering Matricesmentioning
confidence: 99%
See 1 more Smart Citation
“…The scalar z b describes the relationship between the beam current i and the voltage v seen by the beam when no waveguide mode is excited. As a result of (4) and (5), this coefficient is the commonly known longitudinal impedance [23]. The quantities h, k and z b do depend on the transversal offsets x b and y b .…”
Section: A Generalization Of Scattering Matricesmentioning
confidence: 99%
“…This matrix is determined by the permutation matrix P, the topology of the segments to be coupled, and by the number of internal terminals. Using (23) to replace b int in (21) and sorting for the internal incident wave amplitudes yields…”
Section: Concatenation Of the Elementsmentioning
confidence: 99%
“…The potential of incoming beam is written as [8] Uðx;y; s;zÞ where r e is classical electron radius, γ is Lorentz factor, N p is amount of particles, σ x;y;z is horizontal, vertical, and longitudinal beam sizes, 2θ is crossing angle, x; y; s is horizontal, vertical, and longitudinal coordinates, and z ¼ s − ct is the particle's position with respect to the center of the bunch and describes synchrotron oscillations. For simplicity, we will neglect the particle's synchrotron oscillations therefore z ¼ 0.…”
Section: Analytical Calculations a Beam-beammentioning
confidence: 99%
“…This is approximately true for very energetic photons, but at very low frequencies ω ≪ ω c , the emission angle is θ ≈ ð2ω c =ωÞ 1=3 =γ. The number of photons emitted is approximately [8,10,11] n γ ¼ 5 2…”
Section: B Beamstrahlungmentioning
confidence: 99%