COOL2015 - List of Keywords (betatron)

Paper	Title	Other Keywords	Page
MOPF09	Signals from a Beam Performing Betatron Oscillations Using an Electrostatic Electrode Model with Rectangular Boundaries	pick-up, storage-ring, vacuum, kicker	51
	F. Nolden GSI, Darmstadt, Germany J.X. Wu IMP/CAS, Lanzhou, People's Republic of China
	We present a novel electrostatic electrode model with rectangular boundaries. The fields are calculated using a conformal mapping. These fields are used to calculate the signal due to a relativistic beam. The response at harmonics of the revolution frequency and at the corresponding horizontal and vertical sidebands is given. The underlying nonlinear formalism is due to Bisognano and Leeman. The electrode geometry of the new stochastic cooling system at the CSRe ring at the IMP in Lanzhou is taken to derive the responses in the sum mode, the horizontal difference mode, and the vertical difference mode.
Export •	reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)

TUWAUD04	Progress on Parametric-resonance Ionization Cooling	resonance, emittance, simulation, optics	77
	V.S. Morozov, Y.S. Derbenev, A.V. Sy JLab, Newport News, Virginia, USA A. Afanasev GWU, Washington, USA R.P. Johnson Muons, Inc, Illinois, USA J.A. Maloney Northern Illinois University, DeKalb, Illinois, USA
	Funding: Work supported in part by U.S. DOE STTR Grants DE-SC0005589 and DE-SC0007634. Authored by Jefferson Science Associates, LLC under U.S. DOE Contract No. DE-AC05-06OR23177. Proposed next-generation muon collider will require major technical advances to achieve the rapid muon beam cooling requirements. Parametric-resonance Ionization Cooling (PIC) is proposed as the final 6D cooling stage of a high-luminosity muon collider. In PIC, a half-integer parametric resonance causes strong focusing of a muon beam at appropriately placed energy absorbers while ionization cooling limits the beam's angular spread. Combining muon ionization cooling with parametric resonant dynamics in this way should then allow much smaller final transverse muon beam sizes than conventional ionization cooling alone. One of the PIC challenges is compensation of beam aberrations over a sufficiently wide parameter range while maintaining the dynamical stability with correlated behavior of the horizontal and vertical betatron motion and dispersion. We explore use of a coupling resonance to reduce the dimensionality of the problem and to shift the dynamics away from non-linear resonances. PIC simulations are presented.
	Slides TUWAUD04 [2.043 MB]
Export •	reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)

WEWAUD03	Optical Stochastic Cooling at IOTA ring	optics, emittance, pick-up, kicker	123
	V.A. Lebedev, A.L. Romanov Fermilab, Batavia, Illinois, USA
	The optical stochastic cooling (OSC) represents a promising novel technology capable to achieve fast cooling rates required to support high luminosity of future hadron colliders. The OSC is based on the same principles as the normal microwave stochastic cooling but uses much smaller wave length resulting in a possibility of cooling of very dense bunches. In this paper we consider basic principles of the OSC operation and main limitations on its practical implementation. Conclusions will be illustrated by Fermilab proposal of the OSC test in the IOTA ring. Work supported by Fermi Research Alliance, LLC under Contract No. De-AC02-07CH11359 with the United States Department of Energy.
	Slides WEWAUD03 [1.018 MB]
Export •	reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)

FRWAUD02	Fokker-Planck Approach to the Description of Transverse Stochastic Cooling	emittance, kicker, pick-up, network	170
	F. Nolden GSI, Darmstadt, Germany
	A Fokker-Planck model of transverse stochastic cooling (without feedback through the beam) is presented, which relies on moderately simplified assumptions about the underlying cooling system. The equilibrium emittance distribution turns out to be always exponential. Furthermore, if the initial distribution is already exponential, then the solution of the fully time-dependent Fokker-Planck equation remains exponential. The average emittance decays with a rate towards equilibrium, which is completely consistent with the classical van der Meer rate, including undesired mixing, desired mixing and thermal noise.
	Slides FRWAUD02 [1.088 MB]
Export •	reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)

Paper

Title

Other Keywords

Page

MOPF09

Signals from a Beam Performing Betatron Oscillations Using an Electrostatic Electrode Model with Rectangular Boundaries

pick-up, storage-ring, vacuum, kicker

51

F. Nolden
GSI, Darmstadt, Germany
J.X. Wu
IMP/CAS, Lanzhou, People's Republic of China

We present a novel electrostatic electrode model with rectangular boundaries. The fields are calculated using a conformal mapping. These fields are used to calculate the signal due to a relativistic beam. The response at harmonics of the revolution frequency and at the corresponding horizontal and vertical sidebands is given. The underlying nonlinear formalism is due to Bisognano and Leeman. The electrode geometry of the new stochastic cooling system at the CSRe ring at the IMP in Lanzhou is taken to derive the responses in the sum mode, the horizontal difference mode, and the vertical difference mode.

Export •

reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)

TUWAUD04

Progress on Parametric-resonance Ionization Cooling

resonance, emittance, simulation, optics

77

V.S. Morozov, Y.S. Derbenev, A.V. Sy
JLab, Newport News, Virginia, USA
A. Afanasev
GWU, Washington, USA
R.P. Johnson
Muons, Inc, Illinois, USA
J.A. Maloney
Northern Illinois University, DeKalb, Illinois, USA

Funding: Work supported in part by U.S. DOE STTR Grants DE-SC0005589 and DE-SC0007634. Authored by Jefferson Science Associates, LLC under U.S. DOE Contract No. DE-AC05-06OR23177.
Proposed next-generation muon collider will require major technical advances to achieve the rapid muon beam cooling requirements. Parametric-resonance Ionization Cooling (PIC) is proposed as the final 6D cooling stage of a high-luminosity muon collider. In PIC, a half-integer parametric resonance causes strong focusing of a muon beam at appropriately placed energy absorbers while ionization cooling limits the beam's angular spread. Combining muon ionization cooling with parametric resonant dynamics in this way should then allow much smaller final transverse muon beam sizes than conventional ionization cooling alone. One of the PIC challenges is compensation of beam aberrations over a sufficiently wide parameter range while maintaining the dynamical stability with correlated behavior of the horizontal and vertical betatron motion and dispersion. We explore use of a coupling resonance to reduce the dimensionality of the problem and to shift the dynamics away from non-linear resonances. PIC simulations are presented.

Slides TUWAUD04 [2.043 MB]

Export •

reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)

WEWAUD03

Optical Stochastic Cooling at IOTA ring

optics, emittance, pick-up, kicker

123

V.A. Lebedev, A.L. Romanov
Fermilab, Batavia, Illinois, USA

The optical stochastic cooling (OSC) represents a promising novel technology capable to achieve fast cooling rates required to support high luminosity of future hadron colliders. The OSC is based on the same principles as the normal microwave stochastic cooling but uses much smaller wave length resulting in a possibility of cooling of very dense bunches. In this paper we consider basic principles of the OSC operation and main limitations on its practical implementation. Conclusions will be illustrated by Fermilab proposal of the OSC test in the IOTA ring.
Work supported by Fermi Research Alliance, LLC under Contract No. De-AC02-07CH11359 with the United States Department of Energy.

Slides WEWAUD03 [1.018 MB]

Export •

reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)

FRWAUD02

Fokker-Planck Approach to the Description of Transverse Stochastic Cooling

emittance, kicker, pick-up, network

170

F. Nolden
GSI, Darmstadt, Germany

A Fokker-Planck model of transverse stochastic cooling (without feedback through the beam) is presented, which relies on moderately simplified assumptions about the underlying cooling system. The equilibrium emittance distribution turns out to be always exponential. Furthermore, if the initial distribution is already exponential, then the solution of the fully time-dependent Fokker-Planck equation remains exponential. The average emittance decays with a rate towards equilibrium, which is completely consistent with the classical van der Meer rate, including undesired mixing, desired mixing and thermal noise.

Slides FRWAUD02 [1.088 MB]

Export •

reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)