Zlib: A numerical library for optimal design of truncated power series algebra and map parameterization routines

Yan, Yunxiang

doi:10.1063/1.52378

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2022

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“…The truncated power series algebra (TPSA) was first introduced by Berz in 1989 for accelerator applications [16]. Since then, it has been used to calculate transfer maps of beam line elements in several optics codes [17][18][19][20]. It was also used to calculate the space-charge potential/fields in the fast multipole method [21][22][23] and to solve the Poisson's equation [24].…”

Section: Introductionmentioning

confidence: 99%

Differentiable self-consistent space-charge simulation for accelerator design

Ji¹

2022

Preprint

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The nonlinear space-charge effects in a high intensity or high brightness accelerator can have a significant impact on the beam properties through the accelerator. These effects are included in the accelerator design via self-consistent multi-particle tracking simulations. In order to study the sensitivity of the final beam's properties with respect to the accelerator design parameters, one has to carry out the time-consuming space-charge simulation multiple times. In this paper, we propose a differentiable self-consistent space-charge simulation model that enables the study of the beam sensitivity through only one simulation. Such a model can also be used with gradient-based numerical optimizers for accelerator design optimizations including the self-consistent space-charge effects.

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