Beams Document 2382-v1

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Using MathCad to Generate a Polynomial for Computation of Beam Position from MI Extra-Wide Aperture BPM

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Bob Webber
Updated by:
Bob Webber
Document Created:
08 Aug 2006, 12:11
Contents Revised:
08 Aug 2006, 12:11
Metadata Revised:
08 Aug 2006, 12:11
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As far as mankind's knowledge of mathematical procedures, how it has influenced our lives by describing multiple scientific procedures. The research that was conducted sole purpose was to generate a polynomial that will compute beam positions based off measurements from two amplitude signal electrodes. Hence, the information from the BPM was compiled into data files which were separated into “horizontal” and “vertical” files. These files were received and dissected with the usage of an extraordinary mathematical computer software Math-Cad. Math-Cad gave the ability to manipulate the data files in order to generate such a polynomial that will compute beam position when only receiving signal amplitude measurements from two electrode plates. Hence, calculations of computed data, actual “on-axis” data, and plots expressed results where the best computed beam position should lie far within the allotted 50mm barriers of the BPM test stand. In conclusion, the polynomial successfully displayed computed beam position from receiving signal amplitudes from two electrode measurements. If you reduce the human and/or mechanical involvement it may decrease the error within the BPM test stand measurements
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This work was done by Milton Smith, student at Southern University, Baton Rouge, LA, during his 8 weeks at Fermilab in Summer 2006 as a participant in the Faculty and Student Teams (FaST) Program sponsored by DOE Office of Science and National Science Foundation. The work was supervised by Professor Terrence Reese, Southern University, and by Bob Webber, Fermilab.
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