An experiment may face the challenge of real-time determination of the magnetic field vector components present within some interior region of the experimental apparatus over which it is impossible to directly measure the field components during the operation of the experiment. As a solution to this problem, we propose a general concept which provides for a unique determination of the field components within such an interior region solely from exterior measurements at fixed discrete locations. The method is general and does not require the field to possess any type of symmetry. We describe our systematic approach for optimizing the locations of these exterior measurements which maximizes their sensitivity to successive terms in a multipole expansion of the field.
|Number of pages
|Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
|Published - Dec 11 2014
Bibliographical noteFunding Information:
We thank C. Crawford, B. Filippone, and W. Korsch for several valuable suggestions regarding the development of our concept. We thank M.P. Mendenhall for providing the field map of the cos θ coil we used in our example calculations, and we are grateful to A. Kucharski, Jr. for a careful reading of the manuscript. This work was supported in part by the U.S. Department of Energy Office of Nuclear Physics under Award No. DE-FG02-08ER41557 .
© 2014 Elsevier B.V.
- Electric dipole moment experiments
- Interior magnetic field gradients
- Interior magnetic field vector components
- Multipole methods
ASJC Scopus subject areas
- Nuclear and High Energy Physics