Envelope Hamiltonian for charged-particle dynamics in general linear coupled systems

Chung, Moses; Qin, Hong; Davidson, Ronald C.

doi:10.1063/1.4959112

Title: Envelope Hamiltonian for charged-particle dynamics in general linear coupled systems

Authors:

Chung, Moses ^[1]; Qin, Hong ^[2];

^[3]

Department of Physics, Ulsan National Institute of Science and Technology, Ulsan 689-798, South Korea
Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08543, USA, Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, China
Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08543, USA

Publication Date:: Thu Jul 21 00:00:00 EDT 2016

Sponsoring Org.:: USDOE

OSTI Identifier:: 1267526

Grant/Contract Number:: AC02-09CH11466

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physics of Plasmas

Additional Journal Information:: Journal Name: Physics of Plasmas Journal Volume: 23 Journal Issue: 7; Journal ID: ISSN 1070-664X

Publisher:: American Institute of Physics

Country of Publication:: United States

Language:: English

Citation Formats


                    Chung, Moses, Qin, Hong, and Davidson, Ronald C. Envelope Hamiltonian for charged-particle dynamics in general linear coupled systems.  United States: N. p., 2016. 
Web.  doi:10.1063/1.4959112.

Copy to clipboard


                    Chung, Moses, Qin, Hong, & Davidson, Ronald C. Envelope Hamiltonian for charged-particle dynamics in general linear coupled systems.  United States.  https://doi.org/10.1063/1.4959112

Copy to clipboard


                    Chung, Moses, Qin, Hong, and Davidson, Ronald C. Thu .  
"Envelope Hamiltonian for charged-particle dynamics in general linear coupled systems".  United States.  https://doi.org/10.1063/1.4959112.

Copy to clipboard


                    
@article{osti_1267526,

  title        = {Envelope Hamiltonian for charged-particle dynamics in general linear coupled systems},

  author       = {Chung, Moses and Qin, Hong and Davidson, Ronald C.},

  abstractNote = {},

  doi          = {10.1063/1.4959112},

  journal      = {Physics of Plasmas},

  number       = 7,

  volume       = 23,

  place        = {United States},

  year         = {Thu Jul 21 00:00:00 EDT 2016},

  month        = {Thu Jul 21 00:00:00 EDT 2016}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Publisher's Version of Record
https://doi.org/10.1063/1.4959112

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 3 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Betatron motion with coupling of horizontal and vertical degrees of freedom
journal, October 2010

Lebedev, V. A.; Bogacz, S. A.
Journal of Instrumentation, Vol. 5, Issue 10
DOI: 10.1088/1748-0221/5/10/P10010

Class of Generalized Kapchinskij-Vladimirskij Solutions and Associated Envelope Equations for High-Intensity Charged-Particle Beams
journal, February 2013

Qin, Hong; Davidson, Ronald C.
Physical Review Letters, Vol. 110, Issue 6
DOI: 10.1103/PhysRevLett.110.064803

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

Qin, Hong; Davidson, Ronald C.; Chung, Moses
Physical Review Letters, Vol. 111, Issue 10
DOI: 10.1103/PhysRevLett.111.104801

Analytical methods for describing charged particle dynamics in general focusing lattices using generalized Courant-Snyder theory
journal, April 2014

Qin, Hong; Davidson, Ronald C.; Burby, Joshua W.
Physical Review Special Topics - Accelerators and Beams, Vol. 17, Issue 4
DOI: 10.1103/PhysRevSTAB.17.044001

Accelerator Physics
book, December 2004

Lee, S. Y.
DOI: 10.1142/5761

Beam Dynamics in High Energy Particle Accelerators
book, January 2014

Wolski, Andrzej
World Scientific
DOI: 10.1142/p899

Matrix Algebra
book, January 2007

Gentle, James E.
Springer Texts in Statistics
DOI: 10.1007/978-0-387-70873-7

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

Qin, Hong; Chung, Moses; Davidson, Ronald C.
Physical Review Letters, Vol. 103, Issue 22
DOI: 10.1103/PhysRevLett.103.224802

Theory of the alternating-gradient synchrotron
journal, January 1958

Courant, E. D.; Snyder, H. S.
Annals of Physics, Vol. 3, Issue 1
DOI: 10.1016/0003-4916(58)90012-5

Similar Records in DOE PAGES and OSTI.GOV collections:

Envelope Hamiltonian for charged-particle dynamics in general linear coupled systems

Journal Article Chung, Moses ; Qin, Hong ; Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026 ; ... - Physics of Plasmas

We report the discovery of an envelope Hamiltonian describing the charged-particle dynamics in general linear coupled lattices.
https://doi.org/10.1063/1.4959112
Generalized parametrization methods for centroid and envelope dynamics of charged particle beams in coupled lattices

Journal Article Chung, Moses ; Qin, Hong - Physics of Plasmas

For almost 60 years, the well-known Courant-Snyder (CS) theory has been employed as the standard method to describe the uncoupled dynamics of charged particle beams in electromagnetic focusing lattices. Meanwhile, the generalization of the CS theory to coupled dynamics with two or more degrees of freedom has been attempted in numerous directions. The parametrization method developed by Qin and Davidson is particularly noteworthy, because their method enables the treatment of complicated coupled beam dynamics using a remarkably similar mathematical structure to that of the original CS theory. Here in this paper, we revisit the Qin-Davidson parametrization method and extend itmore »« less
Cited by 4
https://doi.org/10.1063/1.5018426

Full Text Available
Centroid and Envelope Dynamics of High-intensity Charged Particle Beams in an External Focusing Lattice and Oscillating Wobbler

Technical Report Qin, Hong ; Davidson, Ronald C. ; Logan, B. Grant

The centroid and envelope dynamics of a high-intensity charged particle beam are investigated as a beam smoothing technique to achieve uniform illumination over a suitably chosen region of the target for applications to ion-beam-driven high energy density physics and heavy ion fusion. The motion of the beam centroid projected onto the target follows a smooth pattern to achieve the desired illumination, for improved stability properties during the beam-target interaction. The centroid dynamics is controlled by an oscillating "wobbler", a set of electrically-biased plates driven by RF voltage. __________________________________________________
https://doi.org/10.2172/981703

Full Text Available
A Class Of Generalized Kapchinskij-Vladimirskij Solutions And Associated Envelope Equations For High-intensity Charged Particle Beams

Technical Report Hong Qin and Ronald C. Davidson

A class of generalized Kapchinskij-Vladimirskij solutions of the nonlinear Vlasov-Maxwell equations and the associated envelope equations for high-intensity beams in a periodic lattice is derived. It includes the classical Kapchinskij-Vladimirskij solution as a special case. For a given lattice, the distribution functions and the envelope equations are specified by eight free parameters. The class of solutions derived captures a wider range of dynamical envelope behavior for high-intensity beams, and thus provides a new theoretical tool to investigate the dynamics of high-intensity beams.
https://doi.org/10.2172/1063117

Full Text Available
FIRST ORDER BEAM DYNAMICS PROGRAMS USING LINEARIZED SPACE-CHARGE FORCES. PART I. SYSTEMS WITHOUT LINEAR COUPLING TERMS. PART II. SYSTEMS WITH LINEAR COUPLING TERMS.

Technical Report Oleksiuk, L

Similar Records

Title: Envelope Hamiltonian for charged-particle dynamics in general linear coupled systems

Citation Formats

Betatron motion with coupling of horizontal and vertical degrees of freedom journal, October 2010

Class of Generalized Kapchinskij-Vladimirskij Solutions and Associated Envelope Equations for High-Intensity Charged-Particle Beams journal, February 2013

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

Analytical methods for describing charged particle dynamics in general focusing lattices using generalized Courant-Snyder theory journal, April 2014

Accelerator Physics book, December 2004

Beam Dynamics in High Energy Particle Accelerators book, January 2014

Matrix Algebra book, January 2007

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

Theory of the alternating-gradient synchrotron journal, January 1958

Betatron motion with coupling of horizontal and vertical degrees of freedom
journal, October 2010

Class of Generalized Kapchinskij-Vladimirskij Solutions and Associated Envelope Equations for High-Intensity Charged-Particle Beams
journal, February 2013

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

Analytical methods for describing charged particle dynamics in general focusing lattices using generalized Courant-Snyder theory
journal, April 2014

Accelerator Physics
book, December 2004

Beam Dynamics in High Energy Particle Accelerators
book, January 2014

Matrix Algebra
book, January 2007

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

Theory of the alternating-gradient synchrotron
journal, January 1958