Near equilibrium distributions for beams with space charge in linear and nonlinear periodic focusing systems

Sonnad, Kiran G.; Cary, John R.

doi:10.1063/1.4919033

Title: Near equilibrium distributions for beams with space charge in linear and nonlinear periodic focusing systems

Authors:

Sonnad, Kiran G. ^[1]; Cary, John R. ^[1]

Center for Integrated Plasma Studies and Department of Physics, University of Colorado, Boulder, Colorado 80309, USA

Publication Date:: Wed Apr 29 00:00:00 EDT 2015

Sponsoring Org.:: USDOE

OSTI Identifier:: 1228211

Grant/Contract Number:: FG03-95ER40926

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physics of Plasmas

Additional Journal Information:: Journal Name: Physics of Plasmas Journal Volume: 22 Journal Issue: 4; Journal ID: ISSN 1070-664X

Publisher:: American Institute of Physics

Country of Publication:: United States

Language:: English

Citation Formats


                    Sonnad, Kiran G., and Cary, John R. Near equilibrium distributions for beams with space charge in linear and nonlinear periodic focusing systems.  United States: N. p., 2015. 
Web.  doi:10.1063/1.4919033.

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                    Sonnad, Kiran G., & Cary, John R. Near equilibrium distributions for beams with space charge in linear and nonlinear periodic focusing systems.  United States.  https://doi.org/10.1063/1.4919033

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                    Sonnad, Kiran G., and Cary, John R. Wed .  
"Near equilibrium distributions for beams with space charge in linear and nonlinear periodic focusing systems".  United States.  https://doi.org/10.1063/1.4919033.

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@article{osti_1228211,

  title        = {Near equilibrium distributions for beams with space charge in linear and nonlinear periodic focusing systems},

  author       = {Sonnad, Kiran G. and Cary, John R.},

  abstractNote = {},

  doi          = {10.1063/1.4919033},

  journal      = {Physics of Plasmas},

  number       = 4,

  volume       = 22,

  place        = {United States},

  year         = {Wed Apr 29 00:00:00 EDT 2015},

  month        = {Wed Apr 29 00:00:00 EDT 2015}

}

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https://doi.org/10.1063/1.4919033

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Title: Near equilibrium distributions for beams with space charge in linear and nonlinear periodic focusing systems

Citation Formats

Lie series and invariant functions for analytic symplectic maps journal, December 1976

Generalized Courant-Snyder Theory for Charged-Particle Dynamics in General Focusing Lattices journal, September 2013

Control of beam halo formation through nonlinear damping and collimation journal, June 2005

Theory of the alternating-gradient synchrotron journal, January 1958

Guiding-center Vlasov-Maxwell description of intense beam propagation through a periodic focusing field journal, October 2001

High current transport experiment for heavy ion inertial fusion journal, February 2005

Truncated thermal equilibrium distribution for intense beam propagation journal, February 2003

Space-charge transport limits of ion beams in periodic quadrupole focusing channels journal, June 2006

Efficient computation of matched solutions of the Kapchinskij-Vladimirskij envelope equations for periodic focusing lattices journal, June 2006

Approximate periodically focused solutions to the nonlinear Vlasov-Maxwell equations for intense beam propagation through an alternating-gradient field configuration journal, July 1999

Strong sextupole focusing in planar undulators journal, July 1994

Invariability of intense beam emittance in nonlinear focusing channel conference, January 1995

Single-parameter characterization of the thermal equilibrium density profile for intense non-neutral charged particle beams journal, November 1999

General Interaction Picture from Action Principle for Mechanics journal, June 1969

Cold-fluid theory of equilibrium and stability of a high-intensity periodically twisted ellipse-shaped charged-particle beam journal, March 2006

Renormalised canonical perturbation theory for stochastic propagators journal, December 1976

Finding a nonlinear lattice with improved integrability using Lie transform perturbation theory journal, May 2004

Chaotic orbits in thermal-equilibrium beams: Existence and dynamical implications journal, March 2003

Overcoming a fast transverse instability by means of octupole-induced tune spread in the Relativistic Heavy Ion Collider journal, August 2002

Kinetic description of intense beam propagation through a periodic focusing field for uniform phase-space density journal, August 2002

Equilibrium and Stability of Off-Axis Periodically Focused Particle Beams journal, December 2004

Approximate kinetic quasiequilibrium distributions for intense beam propagation through a periodic focusing quadrupole lattice journal, June 2010

Generalized Kapchinskij-Vladimirskij Distribution and Envelope Equation for High-Intensity Beams in a Coupled Transverse Focusing Lattice journal, November 2009

Ponderomotive effects in collisionless plasma: A Lie transform approach journal, January 1981

Nonlinear dynamics of periodically focused intense particle beams journal, May 2002

Lie transform perturbation theory for Hamiltonian systems journal, December 1981

Particle-core model for transverse dynamics of beam halo journal, December 1998

Canonical transformations depending on a small parameter journal, March 1969

Rigid-Rotor Vlasov Equilibrium for an Intense Charged-Particle Beam Propagating through a Periodic Solenoidal Magnetic Field journal, July 1997

Practical solutions for nonlinear accelerator lattice with stable nearly regular motion journal, November 2008

RMS Envelope Equations with Space Charge journal, January 1971

Hamiltonian formalism for solving the Vlasov-Poisson equations and its applications to periodic focusing systems and coherent beam-beam interaction journal, February 2002

Conservation of space-charge-dominated beam emittance in a strong nonlinear focusing field journal, May 1996

Uniform Particle Beam Distributions Produced by Octupole Focusing journal, May 1997

Systematic solution of the Vlasov–Poisson equations for charged particle beams journal, March 1999

Analytic Model for Halo Formation in High Current Ion Linacs journal, August 1994

Generation of initial kinetic distributions for simulation of long-pulse charged particle beams with high space-charge intensity journal, November 2009

Self-consistent distribution of a high brightness beam in a continuous focusing channel and application to halo-free beam transport journal, May 1998

3D nonlinear perturbative particle simulations of two-stream collective processes in intense particle beams journal, August 2000

Lie series and invariant functions for analytic symplectic maps
journal, December 1976

Generalized Courant-Snyder Theory for Charged-Particle Dynamics in General Focusing Lattices
journal, September 2013

Control of beam halo formation through nonlinear damping and collimation
journal, June 2005

Theory of the alternating-gradient synchrotron
journal, January 1958

Guiding-center Vlasov-Maxwell description of intense beam propagation through a periodic focusing field
journal, October 2001

High current transport experiment for heavy ion inertial fusion
journal, February 2005

Truncated thermal equilibrium distribution for intense beam propagation
journal, February 2003

Space-charge transport limits of ion beams in periodic quadrupole focusing channels
journal, June 2006

Efficient computation of matched solutions of the Kapchinskij-Vladimirskij envelope equations for periodic focusing lattices
journal, June 2006

Approximate periodically focused solutions to the nonlinear Vlasov-Maxwell equations for intense beam propagation through an alternating-gradient field configuration
journal, July 1999

Strong sextupole focusing in planar undulators
journal, July 1994

Invariability of intense beam emittance in nonlinear focusing channel
conference, January 1995

Single-parameter characterization of the thermal equilibrium density profile for intense non-neutral charged particle beams
journal, November 1999

General Interaction Picture from Action Principle for Mechanics
journal, June 1969

Cold-fluid theory of equilibrium and stability of a high-intensity periodically twisted ellipse-shaped charged-particle beam
journal, March 2006

Renormalised canonical perturbation theory for stochastic propagators
journal, December 1976

Finding a nonlinear lattice with improved integrability using Lie transform perturbation theory
journal, May 2004

Chaotic orbits in thermal-equilibrium beams: Existence and dynamical implications
journal, March 2003

Overcoming a fast transverse instability by means of octupole-induced tune spread in the Relativistic Heavy Ion Collider
journal, August 2002

Kinetic description of intense beam propagation through a periodic focusing field for uniform phase-space density
journal, August 2002

Equilibrium and Stability of Off-Axis Periodically Focused Particle Beams
journal, December 2004

Approximate kinetic quasiequilibrium distributions for intense beam propagation through a periodic focusing quadrupole lattice
journal, June 2010

Generalized Kapchinskij-Vladimirskij Distribution and Envelope Equation for High-Intensity Beams in a Coupled Transverse Focusing Lattice
journal, November 2009

Ponderomotive effects in collisionless plasma: A Lie transform approach
journal, January 1981

Nonlinear dynamics of periodically focused intense particle beams
journal, May 2002

Lie transform perturbation theory for Hamiltonian systems
journal, December 1981

Particle-core model for transverse dynamics of beam halo
journal, December 1998

Canonical transformations depending on a small parameter
journal, March 1969

Rigid-Rotor Vlasov Equilibrium for an Intense Charged-Particle Beam Propagating through a Periodic Solenoidal Magnetic Field
journal, July 1997

Practical solutions for nonlinear accelerator lattice with stable nearly regular motion
journal, November 2008

RMS Envelope Equations with Space Charge
journal, January 1971

Hamiltonian formalism for solving the Vlasov-Poisson equations and its applications to periodic focusing systems and coherent beam-beam interaction
journal, February 2002

Conservation of space-charge-dominated beam emittance in a strong nonlinear focusing field
journal, May 1996

Uniform Particle Beam Distributions Produced by Octupole Focusing
journal, May 1997

Systematic solution of the Vlasov–Poisson equations for charged particle beams
journal, March 1999

Analytic Model for Halo Formation in High Current Ion Linacs
journal, August 1994

Generation of initial kinetic distributions for simulation of long-pulse charged particle beams with high space-charge intensity
journal, November 2009

Self-consistent distribution of a high brightness beam in a continuous focusing channel and application to halo-free beam transport
journal, May 1998

3D nonlinear perturbative particle simulations of two-stream collective processes in intense particle beams
journal, August 2000