Systematic optimization of exterior measurement locations for the determination of interior magnetic field vector components in inaccessible regions

N. Nouri; B. Plaster

doi:10.1016/j.nima.2014.08.026

Systematic optimization of exterior measurement locations for the determination of interior magnetic field vector components in inaccessible regions

N. Nouri, B. Plaster

Physics And Astronomy

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	92-98
Number of pages	7
Journal	Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
Volume	767
DOIs	https://doi.org/10.1016/j.nima.2014.08.026
State	Published - Dec 11 2014

Bibliographical note

Funding 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 .

Publisher Copyright:
© 2014 Elsevier B.V.

Keywords

Electric dipole moment experiments
Interior magnetic field gradients
Interior magnetic field vector components
Multipole methods

ASJC Scopus subject areas

Nuclear and High Energy Physics
Instrumentation

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10.1016/j.nima.2014.08.026

Cite this

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abstract = "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.",

keywords = "Electric dipole moment experiments, Interior magnetic field gradients, Interior magnetic field vector components, Multipole methods",

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doi = "10.1016/j.nima.2014.08.026",

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Nouri, N & Plaster, B 2014, 'Systematic optimization of exterior measurement locations for the determination of interior magnetic field vector components in inaccessible regions', Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, vol. 767, pp. 92-98. https://doi.org/10.1016/j.nima.2014.08.026

Systematic optimization of exterior measurement locations for the determination of interior magnetic field vector components in inaccessible regions. / Nouri, N.; Plaster, B.

In: Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 767, 11.12.2014, p. 92-98.

Research output: Contribution to journal › Article › peer-review

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AU - Nouri, N.

AU - Plaster, B.

N1 - Funding 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 . Publisher Copyright: © 2014 Elsevier B.V.

PY - 2014/12/11

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N2 - 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.

AB - 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.

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KW - Multipole methods

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Systematic optimization of exterior measurement locations for the determination of interior magnetic field vector components in inaccessible regions

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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