ICAP2012 - List of Authors (Makino, K.)

Paper

Title

Page

Storage Ring EDM Simulation: Methods and Results

99

Y. Senichev, A. Lehrach, R. Maier, D. Zyuzin
FZJ, Jülich, Germany
S.N. Andrianov, A.N. Ivanov
St. Petersburg State University, St. Petersburg, Russia
M. Berz, K. Makino
MSU, East Lansing, Michigan, USA

The idea of Electric Dipole Moment search using the electrostatic storage ring with polarized beam is based on accumulation of additional tiny spin rotation, about one-billionth of radians per second, occurred only in the presence of EDM. This method can be realized under condition of the long-time spin coherency ~1000 seconds. During this time each particle performs about 109 turns in ring moving on different trajectories. At such conditions the spin-rotation aberrations associated with various types of space and time dependent nonlinearities start playing a crucial role. To design such a ring the computer simulation is necessary taking into account all factors affecting the spin. We used COSY-Infinity and integrating program with symplectic Runge-Kutta methods in composition with analytic methods. We developed a new lattice based on the alternating spin rotating. As a result, we can achieve the SCT of ~5000 seconds. The difficulties of these studies are still in the fact that the aberrations growth is observed in the scale of 109 turns and few million particles. For this simulation we use a supercomputer with parallel computing process.

Slides TUADI1 [0.951 MB]

THADC2

Precision Nonlinear Dynamics in Electrostatic Rings for EDM Studies

M. Berz, R. Jagasia, K. Makino
MSU, East Lansing, Michigan, USA

Funding: US Department of Energy
Recent interest electric dipole moments of hadrons and light nuclei necessitates the design of storage ring designs relying on electrostatic elements for deflection and focusing. Since the effects of interest are exceedingly small and difficult to extract from the dynamics, unusually high precision in the understanding of the linear and nonlinear optics is required. This leads to the need of precise treatment of a various effects that are often of subdued importance, including the detailed shape of fringe fields and their influence on steering, spin flip devices, and rf cavities out of synch with the frequency of the ring. In all studies, it is important to perform symplectic tracking for the full spin-orbit dynamics. At the same time it is necessary to preserve the particle’s energy during transversal of electric potentials, errors in which are similarly detrimental as errors in symplecticity. Unfortunately it is known that schemes to preserve symplecticity do not simultaneously preserve energy and vice versa. We present some hybrid approaches based on high-order maps that minimize the violations of either invariant while minimally impacting spin-orbit motion.

THADC3

Nonlinear, Nonscaling CW FFAG Design and Modeling Using Map Methods

K. Makino, M. Berz
MSU, East Lansing, Michigan, USA
C. Johnstone
Fermilab, Batavia, USA

Funding: US Department of Energy, FNAL, Particle Accelerator Corporation
FFAGs are being considered for various new classes of accelerators, including proton drivers for muon colliders and neutrino factories, for accelerator driven subcritical reactors, and for medical applications. Their key advantages are compactness, CW operation and large acceptance. However, due to the complicated field arrangements, beam dynamics simulations are challenging for conventional simulation codes. Among various levels of sophistication of dealing with beam elements, one of the most advanced modes of the code COSY INFINITY computes the 3D field distributions along the trajectory of the particles, not only at the point of interest but also in the neighborhood with functional dependencies, using DA PDE solvers based on Differential Algebraic techniques. The scheme allows the code developer and user to describe rather complicated field arrangements with rather limited effort. Of particular advantage is the seamless integration with map-based symplectic tracking schemes. The methods are illustrated in design studies of FFAGs for various different machine types, including both conventional strong focusing and continuously varying combined function setups.

Slides THADC3 [3.843 MB]

Paper	Title	Page
TUADI1	Storage Ring EDM Simulation: Methods and Results	99
	Y. Senichev, A. Lehrach, R. Maier, D. Zyuzin FZJ, Jülich, Germany S.N. Andrianov, A.N. Ivanov St. Petersburg State University, St. Petersburg, Russia M. Berz, K. Makino MSU, East Lansing, Michigan, USA
	The idea of Electric Dipole Moment search using the electrostatic storage ring with polarized beam is based on accumulation of additional tiny spin rotation, about one-billionth of radians per second, occurred only in the presence of EDM. This method can be realized under condition of the long-time spin coherency ~1000 seconds. During this time each particle performs about 109 turns in ring moving on different trajectories. At such conditions the spin-rotation aberrations associated with various types of space and time dependent nonlinearities start playing a crucial role. To design such a ring the computer simulation is necessary taking into account all factors affecting the spin. We used COSY-Infinity and integrating program with symplectic Runge-Kutta methods in composition with analytic methods. We developed a new lattice based on the alternating spin rotating. As a result, we can achieve the SCT of ~5000 seconds. The difficulties of these studies are still in the fact that the aberrations growth is observed in the scale of 109 turns and few million particles. For this simulation we use a supercomputer with parallel computing process.
	Slides TUADI1 [0.951 MB]

THADC2	Precision Nonlinear Dynamics in Electrostatic Rings for EDM Studies
	M. Berz, R. Jagasia, K. Makino MSU, East Lansing, Michigan, USA
	Funding: US Department of Energy Recent interest electric dipole moments of hadrons and light nuclei necessitates the design of storage ring designs relying on electrostatic elements for deflection and focusing. Since the effects of interest are exceedingly small and difficult to extract from the dynamics, unusually high precision in the understanding of the linear and nonlinear optics is required. This leads to the need of precise treatment of a various effects that are often of subdued importance, including the detailed shape of fringe fields and their influence on steering, spin flip devices, and rf cavities out of synch with the frequency of the ring. In all studies, it is important to perform symplectic tracking for the full spin-orbit dynamics. At the same time it is necessary to preserve the particle’s energy during transversal of electric potentials, errors in which are similarly detrimental as errors in symplecticity. Unfortunately it is known that schemes to preserve symplecticity do not simultaneously preserve energy and vice versa. We present some hybrid approaches based on high-order maps that minimize the violations of either invariant while minimally impacting spin-orbit motion.

THADC3	Nonlinear, Nonscaling CW FFAG Design and Modeling Using Map Methods
	K. Makino, M. Berz MSU, East Lansing, Michigan, USA C. Johnstone Fermilab, Batavia, USA
	Funding: US Department of Energy, FNAL, Particle Accelerator Corporation FFAGs are being considered for various new classes of accelerators, including proton drivers for muon colliders and neutrino factories, for accelerator driven subcritical reactors, and for medical applications. Their key advantages are compactness, CW operation and large acceptance. However, due to the complicated field arrangements, beam dynamics simulations are challenging for conventional simulation codes. Among various levels of sophistication of dealing with beam elements, one of the most advanced modes of the code COSY INFINITY computes the 3D field distributions along the trajectory of the particles, not only at the point of interest but also in the neighborhood with functional dependencies, using DA PDE solvers based on Differential Algebraic techniques. The scheme allows the code developer and user to describe rather complicated field arrangements with rather limited effort. Of particular advantage is the seamless integration with map-based symplectic tracking schemes. The methods are illustrated in design studies of FFAGs for various different machine types, including both conventional strong focusing and continuously varying combined function setups.
	Slides THADC3 [3.843 MB]