729 research outputs found
Multiple resonance compensation for betatron coupling and its equivalence with matrix method
Analyses of betatron coupling can be broadly divided into two categories: the
matrix approach that decouples the single-turn matrix to reveal the normal
modes and the hamiltonian approach that evaluates the coupling in terms of the
action of resonances in perturbation theory. The latter is often regarded as
being less exact but good for physical insight. The common opinion is that the
correction of the two closest sum and difference resonances to the working
point is sufficient to reduce the off-axis terms in the 4X4 single-turn matrix,
but this is only partially true. The reason for this is explained, and a method
is developed that sums to infinity all coupling resonances and, in this way,
obtains results equivalent to the matrix approach. The two approaches is
discussed with reference to the dynamic aperture. Finally, the extension of the
summation method to resonances of all orders is outlined and the relative
importance of a single resonance compared to all resonances of a given order is
analytically described as a function of the working point.Comment: 22 pages, 10 figure
Chaotic dynamics in a storage-ring Free Electron Laser
The temporal dynamics of a storage-ring Free Electron Laser is here
investigated with particular attention to the case in which an external
modulation is applied to the laser-electron beam detuning. The system is shown
to produce bifurcations, multi-furcations as well as chaotic regimes. The
peculiarities of this phenomenon with respect to the analogous behavior
displayed by conventional laser sources are pointed out. Theoretical results,
obtained by means of a phenomenological model reproducing the evolution of the
main statistical parameters of the system, are shown to be in a good agreement
with experiments carried out on the Super-ACO Free Electron Laser.Comment: submitted to Europ Phys. Journ.
Chirped seeded free-electron lasers: self-standing light sources for two-colour pump-probe experiments
We demonstrate the possibility to run a single-pass free-electron laser in a
new dynamical regime, which can be exploited to perform two-colour pump-probe
experiments in the VUV/X-ray domain, using the free-electron laser emission
both as a pump and as a probe. The studied regime is induced by triggering the
free-electron laser process with a powerful laser pulse, carrying a significant
and adjustable frequency chirp. As a result, the emitted light is eventually
split in two sub-pulses, whose spectral and temporal separations can be
independently controlled. We provide a theoretical description of this
phenomenon, which is found in good agreement with experiments performed on the
FERMI@Elettra free-electron laser
Resonance families and their action on betatron motion
The present paper takes one step beyond the single-resonance theory for betatron motion by summing all the members of a given resonance family and expressing the joint influence in a single driving term. As a demonstration and confirmation of this work, the family driving terms are used to derive the classic closed-orbit and betatron-modulation equations of Courant and Snyder. A more serious demonstration is made by applying the family driving terms to the compensation of linear coupling and showing how numerical matrix-based and resonance compensation schemes are related. In a final phase, the Hénon map is used to compare the efficiency of different coupling compensation schemes with respect to dynamic aperture
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