Electrostatic deflector calculations for the Berkeley 88-inch cyclotron

Journal Article · Mon Jan 01 04:00:00 EST 1962 · Nuclear Instruments and Methods

DOI:https://doi.org/10.1016/S0029-554X(62)80063-9· OSTI ID:4746744

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 achieve the required deflection, but at the expense of simplicity. A magnet 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 one can estimate acceptance 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 r_r = 1 and nu _r = 2 nu _z could be safely traversed, as was believed possible. Some calculations on transition through the nu _r= 2 nu_z resonance are presented.

• Research Organization: Univ. of California, Berkeley
• Sponsoring Organization: USDOE
• NSA Number: NSA-17-007404
• OSTI ID: 4746744
• Report Number(s): UCRL-10067(Rev.)
• Journal Information: Nuclear Instruments and Methods, Journal Name: Nuclear Instruments and Methods Journal Issue: C Vol. 18-19; ISSN 0029-554X
• Publisher: Elsevier
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
BERKELEY
COMPUTERS
CONFIGURATION
CYCLOTRONS
EFFICIENCY
ELECTRIC FIELDS
ELECTROSTATICS
EXCITATION
FREQUENCY
MAGNETS
MATHEMATICS
NUMERICALS
OPTICAL SYSTEMS
ORBITS
OSCILLATIONS
REGENERATION
RESONANCE