COOL2015 - List of Authors (Nagaitsev, S.)

Paper	Title	Page
MOPF03	Electron Lenses and Cooling for the Fermilab Integrable Optics Test Accelerator	32
	G. Stancari, A.V. Burov, V.A. Lebedev, S. Nagaitsev, E. Prebys, A. Valishev Fermilab, Batavia, Illinois, USA
	Funding: Fermilab is operated by Fermi Research Alliance, LLC, under Contract DE-AC02-07CH11359 with the US Department of Energy. Recently, the study of integrable Hamiltonian systems has led to nonlinear accelerator lattices with one or two transverse invariants and wide stable tune spreads. These lattices may drastically improve the performance of high-intensity machines, providing Landau damping to protect the beam from instabilities, while preserving dynamic aperture. The Integrable Optics Test Accelerator (IOTA) is being built at Fermilab to study these concepts with 150-MeV pencil electron beams (single-particle dynamics) and 2.5-MeV protons (dynamics with self fields). One way to obtain a nonlinear integrable lattice is by using the fields generated by a magnetically confined electron beam (electron lens) overlapping with the circulating beam. The required parameters are similar to the ones of existing devices. In addition, the electron lens will be used in cooling mode to control the brightness of the proton beam and to measure transverse profiles through recombination. More generally, it is of great interest to investigate whether nonlinear integrable optics allows electron coolers to exceed limitations set by both coherent or incoherent instabilities excited by space charge.
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MOPF04	2D McMillan map for Accelerator Physics
	T. Zolkin, S. Nagaitsev Fermilab, Batavia, Illinois, USA I.A. Morozov BINP SB RAS, Novosibirsk, Russia
	The McMillan lens is one of the most important concepts of 1D nonlinear integrable optics for accelerators, however, its generalization to higher dimensions is not trivial. We will discuss two possible extensions to 2D, namely, axially symmetric McMillan lens which is based on hollow electron lens, and, quasi-integrable map based on the McMillan magneto-static lens and properly tuned linear lattice. The beam dynamics in the first case resembles the electron cooling process and possibly the lens can be used as a cooling device by itself. The second one has very nontrivial phase-space structure due to strong sensitivity to initial conditions, which experimental study may be done with the use of very cold (in transverse dimensions) pencil-like beams. In addition we will discuss Smaller and Global Alignment Indexes techniques allowing to distinguish ordered motion from chaotic which is based on the Lyapunov stability analysis.
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Paper

Title

Page

Electron Lenses and Cooling for the Fermilab Integrable Optics Test Accelerator

32

G. Stancari, A.V. Burov, V.A. Lebedev, S. Nagaitsev, E. Prebys, A. Valishev
Fermilab, Batavia, Illinois, USA

Funding: Fermilab is operated by Fermi Research Alliance, LLC, under Contract DE-AC02-07CH11359 with the US Department of Energy.
Recently, the study of integrable Hamiltonian systems has led to nonlinear accelerator lattices with one or two transverse invariants and wide stable tune spreads. These lattices may drastically improve the performance of high-intensity machines, providing Landau damping to protect the beam from instabilities, while preserving dynamic aperture. The Integrable Optics Test Accelerator (IOTA) is being built at Fermilab to study these concepts with 150-MeV pencil electron beams (single-particle dynamics) and 2.5-MeV protons (dynamics with self fields). One way to obtain a nonlinear integrable lattice is by using the fields generated by a magnetically confined electron beam (electron lens) overlapping with the circulating beam. The required parameters are similar to the ones of existing devices. In addition, the electron lens will be used in cooling mode to control the brightness of the proton beam and to measure transverse profiles through recombination. More generally, it is of great interest to investigate whether nonlinear integrable optics allows electron coolers to exceed limitations set by both coherent or incoherent instabilities excited by space charge.

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MOPF04

2D McMillan map for Accelerator Physics

T. Zolkin, S. Nagaitsev
Fermilab, Batavia, Illinois, USA
I.A. Morozov
BINP SB RAS, Novosibirsk, Russia

The McMillan lens is one of the most important concepts of 1D nonlinear integrable optics for accelerators, however, its generalization to higher dimensions is not trivial. We will discuss two possible extensions to 2D, namely, axially symmetric McMillan lens which is based on hollow electron lens, and, quasi-integrable map based on the McMillan magneto-static lens and properly tuned linear lattice. The beam dynamics in the first case resembles the electron cooling process and possibly the lens can be used as a cooling device by itself. The second one has very nontrivial phase-space structure due to strong sensitivity to initial conditions, which experimental study may be done with the use of very cold (in transverse dimensions) pencil-like beams. In addition we will discuss Smaller and Global Alignment Indexes techniques allowing to distinguish ordered motion from chaotic which is based on the Lyapunov stability analysis.

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