Speaker
Description
Estimating the stability domain in view of its characterization and optimization is one of the primary topics of single-particle non-linear beam dynamics. The border of the stability domain or dynamic aperture (DA) has a complicated fractal boundary that cannot be reliably estimated by analytical means. Instead, a numerical computation is used to estimate the DA with the additional constraint of determining only the simply connected domain around the origin. The most common case of a DA estimate for 4D systems can be reduced to a 2D polar grid scan, which reduces the computational burden. Here we present a new robust method of DA characterization by constructing a cloud of escaping initial conditions that bound the stable domain and has a significantly reduced computational complexity compared to a direct scan of phase-space variables. The proposed method is applied to a non-linear 4D symplectic polynomial map and the results compared against what found with the standard methods, both in terms of numerical accuracy and of CPU time.
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