Physics-constrained machine learning for electrodynamics without gauge ambiguity based on Fourier transformed Maxwell's equations

C Leon, A Scheinker - Scientific Reports, 2024 - nature.com
We utilize a Fourier transformation-based representation of Maxwell's equations to develop
physics-constrained neural networks for electrodynamics without gauge ambiguity, which …

[HTML][HTML] Physics-constrained 3D convolutional neural networks for electrodynamics

A Scheinker, R Pokharel - APL Machine Learning, 2023 - pubs.aip.org
We present a physics-constrained neural network (PCNN) approach to solving Maxwell's
equations for the electromagnetic fields of intense relativistic charged particle beams. We …

Half-integer resonance caused by dc injection bump magnets and superperiodicity restoration in high-intensity hadron synchrotrons

Y Li, YS Yuan, SY Xu, YW An, XH Lu, S Wang - Physical Review Accelerators …, 2023 - APS
The transverse injection painting scheme is widely adopted in many high-intensity hadron
synchrotrons to alleviate space charge effects. As a common issue in such schemes …

Modeling of second order space charge driven coherent sum and difference instabilities

YS Yuan, O Boine-Frankenheim, I Hofmann - Physical Review Accelerators and …, 2017 - APS
Second order coherent oscillation modes in intense particle beams play an important role for
beam stability in linear or circular accelerators. In addition to the well-known second order …

[HTML][HTML] Tomographic reconstruction of the full 4D transverse phase space

KM Hock, A Wolski - Nuclear Instruments and Methods in Physics …, 2013 - Elsevier
We present a method to measure and reconstruct the full 4D transverse phase space of a
particle beam. The method assumes that it is possible to freely and independently rotate the …

Parametric sum envelope instability of periodically focused intense beams

O Boine-Frankenheim, I Hofmann, J Struckmeier - Physics of Plasmas, 2016 - pubs.aip.org
The envelope instability is a second order parametric resonance with the periodic focusing
and known to appear in space charge dominated beams near 90 phase advance per …

Dispersion-induced beam instability in circular accelerators

YS Yuan, O Boine-Frankenheim, G Franchetti… - Physical review …, 2017 - APS
The envelope instability near the 90° phase advance in periodically focused space charge
dominated beams is a well-known phenomenon in linear transport sections or linacs. The …

Self-consistent study of space-charge-driven coupling resonances

I Hofmann, G Franchetti - Physical Review Special Topics—Accelerators and …, 2006 - APS
In this paper we present a comprehensive analysis of the self-consistent, collective behavior
associated with the space-charge-driven (Montague) coupling resonance near 2 Q x-2 Q y …

Space charge in circular machines

G Franchetti - CERN Yellow Reports: School Proceedings, 2017 - e-publishing.cern.ch
Direct Coulomb forces play an important role in beam transport and storage. In this paper,
the effect of space charge in beams stored in circular machines is reviewed. Starting from …

Matched and equipartitioned design method for modern high-intensity radio frequency quadrupole accelerators

XQ Yan, RA Jameson, YR Lu, ZY Guo, JX Fang… - Nuclear Instruments and …, 2007 - Elsevier
A new design method—Matched and equipartitioned (EP) design method—has been
proposed for radio frequency quadrupole (RFQ) dynamics design, on the considerations of …