An algorithm to calculate the beam momentum distribution from flying wire profiles

Technical Report · Thu Jul 27 00:00:00 EDT 1989

DOI:https://doi.org/10.2172/5758268· OSTI ID:5758268

Wang, X Q

Horizontal flying wire measurements give beam profiles from which information about the beam momentum distribution and betatron distribution can be extracted. When calculating these beam characteristics in the past, for the matter of simplicity, the beam has been assumed Gaussian. For beam profiles which may not be Gaussian, an algorithm to obtain the general beam momentum distribution is developed using the Fourier transform to the beam profiles. Since the profile is the convolution of the momentum distribution and the betatron distribution, using a Fourier transform method makes calculations easier. 6 figs.

• Research Organization: Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
• DOE Contract Number: AC02-76CH03000
• OSTI ID: 5758268
• Report Number(s): FNAL-TM-1612; ON: DE89015587
• Resource Relation: Other Information: Portions of this document are illegible in microfiche products
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
FERMILAB TEVATRON
BEAM PROFILES
ALGORITHMS
DISTRIBUTION FUNCTIONS
FOURIER TRANSFORMATION
LINEAR MOMENTUM
TESTING
ACCELERATORS
CYCLIC ACCELERATORS
FUNCTIONS
INTEGRAL TRANSFORMATIONS
MATHEMATICAL LOGIC
SYNCHROTRONS
TRANSFORMATIONS
430200* - Particle Accelerators- Beam Dynamics
Field Calculations
& Ion Optics