Distributions of straight sections in Mark V

Technical Report · Mon Jun 27 04:00:00 EDT 1955

DOI:https://doi.org/10.2172/4358931· OSTI ID:4358931

Kerst, D. W. ^[1]

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1. Univ. of Illinois at Urbana-Champaign, IL (United States); Midwestern Universities Research Association (MURA), Urbana, IL (United States)

Using the method and example of a machine described in MURA-TBE/DWK-1, we can test the variation in σ for an arbitrary arrangement of sectors. We plot trace ΔM as a function of the position of a straight section in the accelerator and then neglecting terms in the total trace with coefficients θ² and higher higher powers of θ, we use trace M = M_o + εθ_k trace ΔM_k where M_o is the matrix for no straight sections and θ_k is the length of the straight section in the k^th position in the sector and trace ΔM_k is read off of the graph. This computation of the trace gives different answers depending upon where the array of straight sections lies in the sector. By trial we must find the maximum and the minimum total trace to determine the difference in σ or in ν for particles of different radii in the same Mark V; because at different radii, the array of straight sections occurs at different positions relative to the position of the positive or negative field gradient.

• Research Organization: Univ. of Illinois at Urbana-Champaign, IL (United States); Midwestern Universities Research Association (MURA), Urbana, IL (United States)
• Sponsoring Organization: US Atomic Energy Commission (AEC)
• NSA Number: NSA-11-003152
• OSTI ID: 4358931
• Report Number(s): MURA--72; MURA-DWK--11
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
ACCELERATORS
BETATRONS
CONFIGURATION
DISTRIBUTION
FFAG ACCELERATORS
FREQUENCY
LENSES
MAGNETIC FIELDS
MAGNETS
MATHEMATICS
MATRICES
NUMERICALS
ORBITS
OSCILLATIONS
RESONANCE
VARIATIONS