Properties of an axially periodic magnetic field in a betatron
Journal Article
·
· Sov. Phys. - Tech. Phys. (Engl. Transl.); (United States)
OSTI ID:5179306
It is shown by solving an equation for the vector potential A (r, z) of the magnetic field that under appropriate conditions the focusing properties of a betatron magnetic field are periodic with respect to the z coordinate. Under these conditions there may be several equilibrium orbits lying in parallel planes z = 0, z = z/sub 01/ xxx, z = mz/sub 01/ in the accelerator. An equation is derived for the distance z/sub 01/ between the equilibrium orbit planes for a given orbit radius r/sub 0/ and field decay exponent n/sub 0/. The operation of such accelerators is described.
- Research Organization:
- Scientific-Research Institute of Electron Introscopy, S. M. Kirov Polytechnic Institute, Tomsk
- OSTI ID:
- 5179306
- Journal Information:
- Sov. Phys. - Tech. Phys. (Engl. Transl.); (United States), Journal Name: Sov. Phys. - Tech. Phys. (Engl. Transl.); (United States) Vol. 28:7; ISSN SPTPA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
43 PARTICLE ACCELERATORS
430100 -- Particle Accelerators-- Design
Development
& Operation
430200* -- Particle Accelerators-- Beam Dynamics
Field Calculations
& Ion Optics
ACCELERATORS
ANALYTICAL SOLUTION
BETATRONS
COORDINATES
CYCLIC ACCELERATORS
EQUATIONS
EQUILIBRIUM
FOCUSING
MAGNETIC FIELDS
OPERATION
ORBITS
VARIATIONS
VECTOR FIELDS
430100 -- Particle Accelerators-- Design
Development
& Operation
430200* -- Particle Accelerators-- Beam Dynamics
Field Calculations
& Ion Optics
ACCELERATORS
ANALYTICAL SOLUTION
BETATRONS
COORDINATES
CYCLIC ACCELERATORS
EQUATIONS
EQUILIBRIUM
FOCUSING
MAGNETIC FIELDS
OPERATION
ORBITS
VARIATIONS
VECTOR FIELDS