Theory of focusing a relativistic electron beam in a diode

Journal Article · Mon Dec 01 04:00:00 EST 1975 · Sov. Phys. - Dokl. (Engl. Transl.); (United States)

OSTI ID:7349302

Breizman, B N; Ryutov, D D

Focusing of the electron beam in the vacuum diode of an accelerator due to beam compression by the intrinsic magnetic field of the beam was observed in experiments involving powerful sources of relativistic electrons. Under these conditions the operation of the diode cannot be described by the relativistic analog of the ''/sup 3///sub 2/ law,'' because the intrinsic magnetic field strongly influences the movement of the electrons. The corresponding problem was previously treated for a diode with plane electrodes; the case of no external magnetic field was considered. This formulation of the problem does not allow an analytic treatment of the electron motion on the edge of the diode, though these electrons contribute substantially to the total current. It is shown that, if the gap between the electrodes is not of constant width but increases (dl/dr much less than 1) gradually from the center of the diode to its edge with l(R) much greater than l(0), then an analytic solution to the problem can be easily determined. The result is obtained, and it is explained how an external magnetic field influences the operation of the diode.

• Research Organization: Inst. of Nuclear Physics, Novosibirsk
• OSTI ID: 7349302
• Journal Information: Sov. Phys. - Dokl. (Engl. Transl.); (United States), Journal Name: Sov. Phys. - Dokl. (Engl. Transl.); (United States) Vol. 20:12; ISSN SPHDA
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
430200* -- Particle Accelerators-- Beam Dynamics
Field Calculations
& Ion Optics
ANALYTICAL SOLUTION
BEAMS
COMPRESSION
CONFIGURATION
ELECTRODES
ELECTRON BEAMS
ENERGY RANGE
FOCUSING
LEPTON BEAMS
MAGNETIC COMPRESSION
PARTICLE BEAMS
RELATIVISTIC RANGE