SYNCHROTRON OSCILLATIONS IN STRONG FOCUSING ACCELERATORS. I. LINEAR THEORY

Journal Article · Sat Jun 01 04:00:00 EDT 1957 · Soviet Phys. JETP

OSTI ID:4342403

Gol'din, L L; Koshkarev, D G

The equations which describe synchrotron oscillations in strong focusing accelerators are examined, taking into account the relations betwecn the field and the frequency. A general solution is found which describes the oscillations both in the adiabatic and in the critical region and the corresponding integrals of motion are obtained. It is shown that the motion in the critical region can be simply described by means of the effective frequency'' of the oscillations. The effect of fluctuations of the radio frequency, of the accelerating voltage and of the magnetic field is considered, along with the question of the influence of noises on the symchrotron oscillations. The transition through the critical point is studied. The computations are carried to the point of the derived formulas which determine the toleranccs for the corresponding fluctuations. (auth)

• Research Organization: Originating Research Org. not identified
• NSA Number: NSA-12-003340
• OSTI ID: 4342403
• Journal Information: Soviet Phys. JETP, Journal Name: Soviet Phys. JETP Vol. Vol: 4
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ACCELERATORS
DIFFERENTIAL EQUATIONS
ELECTRIC POTENTIAL
EQUATIONS
FREQUENCY
INTEGRALS
MAGNETIC FIELDS
MOTION
NUMERICALS
OPTICAL SYSTEMS
OSCILLATIONS
PHYSICS
RADIO WAVES
SYNCHROTRONS
VARIATIONS