Speaker
Description
The microbunching instability is one of the most significant effects,
which can lead to a severe degradation of the beam quality in the linac
section of free-electron lasers.
Direct analytical treatment of the microbunching instability is however
challenging.
In particular when multiple bunch compression stages are considered,
an exact closed-form expression for the charge density of the electron bunch
typically cannot be derived.
As a remedy, perturbative methods might be considered.
Here, the instability is investigated by analyzing the propagation of
small perturbations to an otherwise stable phase-space density.
One such approach is based on the expansion of the collective
Perron-Frobenius operator of the collective system into a Frechet-Taylor
series.
Applying the expanded Perron-Frobenius operator to a slightly perturbed
phase-space density allows to derive closed-form expressions for the
propagated perturbation term, potentially to arbitrary order.
In this contribution new advances in a perturbation theory based on the
Frechet-Taylor expansion of collective Perron-Frobenius operators are
presented.
| I have read and accept the Privacy Policy Statement | Yes |
|---|
