Ponderomotive confinement of charged-particle beams in a cylindrical waveguide

Journal Article · Sat Nov 01 04:00:00 EST 1986 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.34.4083· OSTI ID:5086450

Grebogi, C; Uhm, H S

An expression for the relativistic ponderomotive Hamiltonian for magnetized particles of a cylindrical waveguide mode is derived. From this result, the equations of motion for the beam particles and the beam Vlasov susceptibility are obtained. The expression for the ponderomotive Hamiltonian is then taken in the limit of unmagnetized particles and used in an analysis of charged-particle-beam confinement by ponderomotive force due to a waveguide mode. Formulas for the rf power and energy density inside the waveguide needed to confine a beam with a given kinetic energy and current are then derived. Numerical estimates give reasonable values for the rf power and energy needed to confine a typical electron or ion beam.

• Research Organization: White Oak Laboratory, Naval Surface Weapons Center, Department of the Navy, Silver Spring, Maryland 20903-5000
• OSTI ID: 5086450
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 34:5; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

640301* -- Atomic
Molecular & Chemical Physics-- Beams & their Reactions
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BEAMS
CHARGED-PARTICLE TRANSPORT
CONFINEMENT
DIFFERENTIAL EQUATIONS
DRIFT TUBES
ELECTROMAGNETIC FIELDS
ELECTRON BEAMS
ENERGY DENSITY
ENERGY RANGE
EQUATIONS
EQUATIONS OF MOTION
ION BEAMS
LEPTON BEAMS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE BEAMS
POWER DEMAND
RADIATION TRANSPORT
RELATIVISTIC RANGE
RF SYSTEMS