ELECTROSTATIC DEFLECTOR CALCULATIONS FOR THE BERKELEY 88-INCH CYCLOTRON

Technical Report · Tue May 01 04:00:00 EDT 1962

OSTI ID:4773576

Garren, A A; Judd, D L; Smith, L; Willax, H A

Early computer calculations showed that an electrostatic channel would have to be very narrow to cause sufficient deflection at high energy. One alternative considered was a system of three electrostatic channels in series, acting as a one-turn regenerative extractor. Such a system could easily aehieve the required deflection, but at the expense of simplicity. A magnetic channel to reinforce the electrostatic channel likewise appeared difficult for a variable- energy machine. Detailed studies of a simple electrostatic channel began with development of an analytic-graphical method of calculating channel efficiency. By this method the acceptance can be estimated as a function of radial turn separation, amplitude and frequency of radial oscillations, and channel geometry. A computer code was then developed to compute channel shapes and calculate acceptance more accurately by following the fate of a representative sample of orbits in the presence of the channel. Use of this code indicated that highest acceptance would be obtained if the channel entrance is set out at 39 in. provided the resonances at nu /sub r/= 1 and nu /sub r/ = 2 nu /sub z/ could be safely traversed, as was believed possible. Some calculations on transition through the nu /sub r/, = 2 nu /sub z/ resonance are presented. (auth)

• Research Organization: California. Univ., Berkeley. Lawrence Radiation Lab.
• DOE Contract Number: W-7405-ENG-48
• NSA Number: NSA-16-032459
• OSTI ID: 4773576
• Report Number(s): UCRL-10067
• Country of Publication: United States
• Language: English

Related Subjects

BEAM OPTICS
BEAMS
COMPUTERS
CONFIGURATION
CYCLOTRONS
DEFORMATION
EFFICIENCY
ELECTROSTATICS
ENERGY
EQUATIONS
ERRORS
FREQUENCY
MAGNETIC FIELDS
NUMERICALS
OPTICAL SYSTEMS
ORBITS
OSCILLATIONS
PHYSICS
PROGRAMMING
RESONANCE
VARIATIONS