Resonance Survey in the Electron Model Spiral Sector FFAG Accelerator

Technical Report · Mon Jun 02 04:00:00 EDT 1958

DOI:https://doi.org/10.2172/4302150· OSTI ID:4302150

Wallenmeyer, W. A. ^[1]

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1. Midwestern Universities Research Association (MURA), Madison, WI (United States)

The relative intensity of the electron beam in the spiral sector model has been determined over a large part of the machines $$\nu_x - \nu_z$$ stability region in order to study the effects of various resonances. The mean field index k has been varied from about 0. 2 to 1.16 and the flutter has been varied from about 0. 57 to 1. 6. This has produced an observed variation in the radial betatron frequency, $$\nu_x$$, from 1. 18 to about 1.8 and in the vertical betatron frequency, $$\nu_z$$, from < 0.4 to >1.9. The beam is completely destroyed everywhere along the integral resonance $$(\nu_z = 1)$$. The half integral resonances observed are $$2 \nu_z = 1$$ and $$\nu_x + \nu_z = 3$$ show complete destruction of the beam along their entire length. The beam is also observed to be effected at the positions of the $$\nu_x + 2\nu_z = 4, \nu_x + 2\nu_z = 5$$, and $$3\nu_z=2$$ third integral non-linear resonances. Some effect of the Walkinshaw difference resonance $$(\nu_x - 2\nu_z) = 0)$$ is observed.

• Research Organization: Midwestern Universities Research Association (MURA), Madison, WI (United States)
• Sponsoring Organization: US Atomic Energy Commission (AEC)
• NSA Number: NSA-12-011968
• OSTI ID: 4302150
• Report Number(s): MURA--407
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
ACCELERATORS
BETATRONS
CURRENTS
ELECTRON BEAMS
FFAG ACCELERATORS
FREQUENCY
MAGNETIC FIELDS
MEASURED VALUES
MOCKUP
OPTICAL SYSTEMS
OSCILLATIONS
RESONANCE
STABILITY
VARIATIONS