FUNCTIONS OF EQUATIONS FOR THE FREE OSCILLATIONS OF WEAKLY FOCUSING ACCELERATOR WITH CUT MAGNET AND THEIR USES

Journal Article · Sat Feb 01 04:00:00 EST 1958 · Zhur. Tekh. Fiz.

OSTI ID:4353334

Kotov, V I; Rubin, N B

An analytical expression was found for the eigenfunction of the equation for free betatron) oscillations of weakly focusing accelerators with cut magnet. The effects of distorted vertical component of the magnetic field and the mean magnetic surface on the free oscillations in the absence of resonance were studied, as well as the character of the amplitude with a precise resonance level. The perturbations were expanded into a series of eigenfunctions. The same method was applied in studies of the parametric and linear resonance of the associated vertical and radical free oscillations in the magnetic field with diminishing exponents corresponding to the precise resonance level. (trauth)

• Research Organization: Originating Research Org. not identified
• NSA Number: NSA-12-007551
• OSTI ID: 4353334
• Journal Information: Zhur. Tekh. Fiz., Journal Name: Zhur. Tekh. Fiz. Vol. Vol: 28
• Country of Publication: Country unknown/Code not available
• Language: Russian

Related Subjects

ACCELERATORS
BETATRONS
DIFFERENTIAL EQUATIONS
EIGENFUNCTIONS
EQUATIONS
FOCUSING
LENSES
MAGNETIC FIELDS
MAGNETS
MATHEMATICS
OPTICAL SYSTEMS
OSCILLATIONS
PERTURBATION THEORY
PHYSICS
RESONANCE
SURFACES
USES