The physical meaning of the magnetic scalar potential and its use in the design of hermetic electromagnetic coils

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5 Citas (Scopus)

Resumen

The magnetic scalar potential U(r↔) has an intuitive physical interpretation, representing the electric current I = ΔU, which must be directed between any pair of isocontours along the boundary of a region, differing in potential by ΔU, in order to generate the corresponding magnetic intensity H↔ =-Δ↔ - U inside the region with no tangential component outside the boundary. This physical significance is exploited to invert the design process of hermetic (fringeless) electromagnetic coils from standard iterative techniques (calculating the magnetic field of refined current distributions) to a procedure for calculating the exact surface currents required to generate a given field configuration. A practical construction algorithm is given to produce the prescribed field in a "Target"region (constrained only by Maxwell's equations) while confining the fringe field to a specified hermetic "Return"region. Example coils are analyzed along with a discussion of the limits of precision of the constructed field.

Idioma originalEnglish
Número de artículo124703
PublicaciónReview of Scientific Instruments
Volumen92
N.º12
DOI
EstadoPublished - dic 1 2021

Nota bibliográfica

Publisher Copyright:
© 2021 Author(s).

Financiación

The author would like to thank Professor Joseph P. Straley for fruitful conversations. This work was supported, in part, by the U.S. Department of Energy, Office of Nuclear Physics, under Contract Nos. DE-SC0008107 and DE-SC0014622 and by the National Science Foundation under Award No. PHY-0855584.

FinanciadoresNúmero del financiador
U.S. Department of Energy EPSCoR
National Science Foundation Arctic Social Science ProgramPHY-0855584
Institute for Nuclear PhysicsDE-SC0008107, DE-SC0014622

    ASJC Scopus subject areas

    • Instrumentation

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