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A three-step model for calculating the magnetic field generated by coils inside cuboid-shaped shields like magnetically shielded rooms (MSRs) is presented. The shield is modelled as two parallel plates of infinite width and one tube of…

Applied Physics · Physics 2020-11-17 Tianhao Liu , Allard Schnabel , Jens Voigt , Zhiyin Sun , Liyi Li

The magnetic field integrals connected with the momentum resolution are calculated for the ATLAS inner tracking volume in a range of pseudorapidity $|\eta| < 3$ for the cases of `ideal' and inhomogeneous solenoid fields. In the latest case,…

Instrumentation and Detectors · Physics 2018-08-06 V. I. Klyukhin , A. Poppleton , J. Schmitz

The CMS magnetic system consists of a super-conducting solenoid coil, 12.5 m long and 6 m free bore diameter, and of an iron flux-return yoke, which includes the central barrel, two end-caps and the ferromagnetic parts of the hadronic…

Instrumentation and Detectors · Physics 2016-11-17 V. I. Klyukhin , D. Campi , B. Curé , A. Desirelli , S. Farinon , H. Gerwig , D. Green , J. P. Grillet , A. Hervé , F. Kircher , B. Levesy , R. Loveless , R. P. Smith

We investigate analytically two questions: 1) How does the coil geometry influence the effect of electric current noise on the induced magnetic field? 2) How does the coil-plasma distance influence our ability to control the pointwise…

Plasma Physics · Physics 2025-10-09 Wadim Gerner

A significant challenge for experiments requiring a highly uniform magnetic field concerns the identification and design of a discretized and finite-sized magnetic field coil of minimal size. In this work we compare calculations of the…

Instrumentation and Detectors · Physics 2013-07-04 N. Nouri , B. Plaster

We provide analytic solutions of the net magnetic field generated by spherical and solenoidal coils enclosed in highly-permeable, coaxial magnetic shields. We consider both spherical and cylindrical shields in the case of the spherical coil…

Accelerator Physics · Physics 2020-01-08 C. -Y. Liu , T. Andalib , D. C. M. Ostapchuk , C. P. Bidinosti

In this paper we present the analytical calculations to derive the magnetic field of a solenoid by solving exactly a fractional integral with the use of a novel method. Starting from the Biot-Savart law, we consider a coil of negligible…

Accelerator Physics · Physics 2023-01-12 Mostafa Behtouei , Luigi Faillace , Bruno Spataro , Alessandro Variola , Mauro Migliorati

For magnetic field calculations, cylindrical permanent magnets are often approximated as ideal, azimuthally symmetric solenoids. Despite the frequent usage of this approximation, research papers demonstrating the validity and limitations of…

Instrumentation and Detectors · Physics 2022-07-21 David Shulman

In the watt balance experiments, separate measurements of the magnetic and electromotive forces in a coil in a magnetic field enable a virtual comparison between mechanical and electric powers to be carried out, which lead to an accurate…

Classical Physics · Physics 2014-02-04 Carlo Paolo Sasso , Enrico Massa , Giovanni Mana

This review article describes the performance of the magnetic field measuring and monitoring systems for the Compact Muon Solenoid (CMS) detector. To cross-check the magnetic flux distribution obtained with the CMS magnet model, four…

We propose a new method to compute magnetic surfaces that are parametrized in Boozer coordinates for vacuum magnetic fields. We also propose a measure for quasi-symmetry on the computed surfaces and use it to design coils that generate a…

Plasma Physics · Physics 2022-08-17 Andrew Giuliani , Florian Wechsung , Matt Landreman , Georg Stadler , Antoine Cerfon

The measurement of the magnetic field in the tracking volume inside the superconducting coil of the Compact Muon Solenoid (CMS) detector under construction at CERN is done with a fieldmapper designed and produced at Fermilab. The…

Atomic spin sensors offer precision measurements using compact, microfabricated packages, placing them in a competitive position for both market and research applications. Performance of these sensors such as dynamic range may be enhanced…

Helical solenoids have been proposed as an option for a Helical Cooling Channel for muons in a proposed Muon Collider. Helical solenoids can provide the required three main field components: solenoidal, helical dipole, and a helical…

Accelerator Physics · Physics 2015-02-02 M. L. Lopes , S. T. Krave , J. C. Tompkins , K. Yonehara , G. Flanagan , S. A. Kahn , K. Melconian

The single-turn coil method is a destructive pulsed magnet for generating over 100 T with a few $\mu$-second pulse duration, and it inevitably causes the coil to explode. The temporal and spatial distributions of the electric current and…

Materials Science · Physics 2026-05-19 Hideaki Kobayashi , Yugaku Goyo , Yuto Ishii , Yasuhiro H. Matsuda , Kunio Takekoshi , Akihiko Ikeda

This article focuses on pioneering work on the performance of the three-dimensional (3D) magnetic field map in the entire volume of the Compact Muon Solenoid (CMS) detector at the Large Hadron Collider at CERN. In the CMS heterogeneous…

Instrumentation and Detectors · Physics 2024-01-05 Nicola Amapane , Vyacheslav Klyukhin

Magnetic field source localization and imaging happen at different scales. The sensing baseline ranges from meter scale such as magnetic anomaly detection, centimeter scale such as brain field imaging to nanometer scale such as the imaging…

Atomic Physics · Physics 2021-09-24 Chen Liu , Haifeng Dong , Junjun Sang

Adaptable, low-cost, coils designed by carefully selecting the arrangements and geometries of simple primitive units are used to generate magnetic fields for diverse applications. These extend from magnetic resonance and fundamental physics…

The purpose of this paper is to derive the on and off-axes magnetic field of a solenoid with the use of a novel method. We have found a solution for the Biot-Savart law by considering the solenoid with a stationary electric current. The…

Accelerator Physics · Physics 2021-09-10 M. Behtouei , B. Spataro , L. Faillace , M. Carillo , M. Comelli , A. Variola , M. Migliorati

In this paper, we present an efficient Particle-In-Cell algorithm for the simulation of the three dimensional Vlasov-Poisson system in the presence of a strong external magnetic field. When the intensity of the magnetic field is…

Numerical Analysis · Mathematics 2018-05-29 Francis Filbet , Chang Yang
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