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New classes of uniform distributions for charged particles in longitudinal magnetic field. / Drivotin, O. I.; Ovsyannikov, D. A.

Proc. of 1997 Particle Accelerator Conference, PAC'97. Vancouver. 1998. p. 1944-1946.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Drivotin, OI & Ovsyannikov, DA 1998, New classes of uniform distributions for charged particles in longitudinal magnetic field. in Proc. of 1997 Particle Accelerator Conference, PAC'97. Vancouver. pp. 1944-1946, 17th Particle Accelerator Conference, PAC-97, Vancouver, BC, CAN, 12/05/97.

APA

Drivotin, O. I., & Ovsyannikov, D. A. (1998). New classes of uniform distributions for charged particles in longitudinal magnetic field. In Proc. of 1997 Particle Accelerator Conference, PAC'97. Vancouver (pp. 1944-1946)

Vancouver

Drivotin OI, Ovsyannikov DA. New classes of uniform distributions for charged particles in longitudinal magnetic field. In Proc. of 1997 Particle Accelerator Conference, PAC'97. Vancouver. 1998. p. 1944-1946

Author

Drivotin, O. I. ; Ovsyannikov, D. A. / New classes of uniform distributions for charged particles in longitudinal magnetic field. Proc. of 1997 Particle Accelerator Conference, PAC'97. Vancouver. 1998. pp. 1944-1946

BibTeX

@inproceedings{f8de4d41c1eb4c72be1d2f3333a55cac,
title = "New classes of uniform distributions for charged particles in longitudinal magnetic field",
abstract = "The problem of stationary self-consistent distributions for charged particles beam in longitudinal magnetic field was considered in various works. The simplest known distribution is Brillouin flow. Another simple case is Kapchinskij-Vladimirskij distribution. The supporters of these distributions in the phase space of transverse configurations and velocities have zero volume. The distributions with non-zero phase volume for beams with constant cross-section radius were also obtained previously. In the present report more general case is investigated when radius of beam cross-section, longitudinal velocity, and magnetic field change along the longitudinal axis. Wide classes of new stationary axially symmetric self-consistent distributions are found. New distributions have uniform charge density in the beam cross-section and, generally speaking, nonzero phase volume in the phase space of transverse motion. In particular case of longitudinal uniformity they coincide with known ones. Such distributions can be applied for modelling of the beam in nonuniform along its axis magnetic field with particles moving with different velocities in various cross-sections.",
author = "Drivotin, {O. I.} and Ovsyannikov, {D. A.}",
year = "1998",
month = dec,
day = "1",
language = "English",
pages = "1944--1946",
booktitle = "Proc. of 1997 Particle Accelerator Conference, PAC'97. Vancouver",
note = "17th Particle Accelerator Conference, PAC-97 ; Conference date: 12-05-1997 Through 16-05-1997",

}

RIS

TY - GEN

T1 - New classes of uniform distributions for charged particles in longitudinal magnetic field

AU - Drivotin, O. I.

AU - Ovsyannikov, D. A.

PY - 1998/12/1

Y1 - 1998/12/1

N2 - The problem of stationary self-consistent distributions for charged particles beam in longitudinal magnetic field was considered in various works. The simplest known distribution is Brillouin flow. Another simple case is Kapchinskij-Vladimirskij distribution. The supporters of these distributions in the phase space of transverse configurations and velocities have zero volume. The distributions with non-zero phase volume for beams with constant cross-section radius were also obtained previously. In the present report more general case is investigated when radius of beam cross-section, longitudinal velocity, and magnetic field change along the longitudinal axis. Wide classes of new stationary axially symmetric self-consistent distributions are found. New distributions have uniform charge density in the beam cross-section and, generally speaking, nonzero phase volume in the phase space of transverse motion. In particular case of longitudinal uniformity they coincide with known ones. Such distributions can be applied for modelling of the beam in nonuniform along its axis magnetic field with particles moving with different velocities in various cross-sections.

AB - The problem of stationary self-consistent distributions for charged particles beam in longitudinal magnetic field was considered in various works. The simplest known distribution is Brillouin flow. Another simple case is Kapchinskij-Vladimirskij distribution. The supporters of these distributions in the phase space of transverse configurations and velocities have zero volume. The distributions with non-zero phase volume for beams with constant cross-section radius were also obtained previously. In the present report more general case is investigated when radius of beam cross-section, longitudinal velocity, and magnetic field change along the longitudinal axis. Wide classes of new stationary axially symmetric self-consistent distributions are found. New distributions have uniform charge density in the beam cross-section and, generally speaking, nonzero phase volume in the phase space of transverse motion. In particular case of longitudinal uniformity they coincide with known ones. Such distributions can be applied for modelling of the beam in nonuniform along its axis magnetic field with particles moving with different velocities in various cross-sections.

UR - http://www.scopus.com/inward/record.url?scp=0032277704&partnerID=8YFLogxK

M3 - Conference contribution

SP - 1944

EP - 1946

BT - Proc. of 1997 Particle Accelerator Conference, PAC'97. Vancouver

T2 - 17th Particle Accelerator Conference, PAC-97

Y2 - 12 May 1997 through 16 May 1997

ER -

ID: 4453279