Thin-Shell Formulation Applied to Superconducting Shields for Magnetic Field Mitigation

The aim of this article is to present a hybrid integral formulation for modelling structures made by conductors and thin electromagnetic shell models. Based on the principle of shell elements, the proposed method provides a solution to various problems without meshing the air regions, and at the same time helps to take care of the skin effect. By integrating the system of circuit equations, the method presented in this paper can also model the conductor structures. In addition, the equations describing the interaction between the conductors and the thin shell are also developed. Finally, the formulation is validated via an axisymmetric finite element method and the obtained results are compared with those implemented from another shell formulation.

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Circularly Polarized Synchrotron Radiation in Dipolar Magnetic Fields with Application to the Planet Jupiter

Publications of the Astronomical Society of Australia ◽

10.1017/s1323358000011863 ◽

1969 ◽

Vol 1 (6) ◽

pp. 274-276 ◽

Cited By ~ 1

Author(s):

L. J. Gleeson ◽

M. P. C. Legg ◽

K. C. Westfold

Keyword(s):

Magnetic Field ◽

Synchrotron Radiation ◽

Magnetic Fields ◽

Linear Polarization ◽

Thin Shell ◽

Total Radiation ◽

Circularly Polarized ◽

Preliminary Account ◽

The Magnetic Field

This paper is a preliminary account of the calculation of the circularly polarized synchrotron radiation received from a distribution of electricallycharged particles confined to a thin shell in the magnetic field of a dipole. Calculations of the total radiation and the degree of linear polarization have previously been carried out, and these calculations are duplicated in part.

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Perturbation of a static magnetic field by a thin shell ferromagnetic device

IEEE Transactions on Magnetics ◽

10.1109/20.280992 ◽

1993 ◽

Vol 29 (6) ◽

pp. 2434-2436 ◽

Cited By ~ 1

Author(s):

F. Rioux-Damidau ◽

B. Bandelier

Keyword(s):

Magnetic Field ◽

Static Magnetic Field ◽

Thin Shell

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Stability of H3O at extreme conditions and implications for the magnetic fields of Uranus and Neptune

Proceedings of the National Academy of Sciences ◽

10.1073/pnas.1921811117 ◽

2020 ◽

Vol 117 (11) ◽

pp. 5638-5643 ◽

Cited By ~ 4

Author(s):

Peihao Huang ◽

Hanyu Liu ◽

Jian Lv ◽

Quan Li ◽

Chunhong Long ◽

...

Keyword(s):

Magnetic Field ◽

Magnetic Fields ◽

Thin Shell ◽

Underlying Mechanism ◽

Giant Planets ◽

Dynamo Model ◽

Extreme Conditions ◽

Material Basis ◽

The Magnetic Field ◽

Planetary Dynamos

The anomalous nondipolar and nonaxisymmetric magnetic fields of Uranus and Neptune have long challenged conventional views of planetary dynamos. A thin-shell dynamo conjecture captures the observed phenomena but leaves unexplained the fundamental material basis and underlying mechanism. Here we report extensive quantum-mechanical calculations of polymorphism in the hydrogen–oxygen system at the pressures and temperatures of the deep interiors of these ice giant planets (to >600 GPa and 7,000 K). The results reveal the surprising stability of solid and fluid trihydrogen oxide (H3O) at these extreme conditions. Fluid H3O is metallic and calculated to be stable near the cores of Uranus and Neptune. As a convecting fluid, the material could give rise to the magnetic field consistent with the thin-shell dynamo model proposed for these planets. H3O could also be a major component in both solid and superionic forms in other (e.g., nonconvecting) layers. The results thus provide a materials basis for understanding the enigmatic magnetic-field anomalies and other aspects of the interiors of Uranus and Neptune. These findings have direct implications for the internal structure, composition, and dynamos of related exoplanets.

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