Axial component of the magnetic field produced by a straight solenoid: Application of the solid angle concept

2019 ◽  
Vol 87 (6) ◽  
pp. 449-451
Author(s):  
Fulin Zuo
Keyword(s):  
Magnetic Field ◽  
Solid Angle ◽  
Axial Component ◽  
The Magnetic Field

Investigation of DC Vacuum Arc Interruption Ability with Combined Axial and Radial Magnetic Field

2012 ◽  
Vol 516-517 ◽  
pp. 1791-1797 ◽  
Author(s):  
Mohmmad Al Dweikat ◽  
Yu Long Huang ◽  
Xiao Lin Shen ◽  
Wei Dong Liu
Keyword(s):  
Magnetic Field ◽  
Axial Magnetic Field ◽  
Vacuum Arc ◽  
Axial Component ◽  
Circuit Breakers ◽  
Radial Magnetic Field ◽  
Vacuum Interrupter ◽  
Magnetic Field Simulation ◽  
The Magnetic Field ◽  
Field Influence

DC Vacuum Circuit Breakers based arc control has been a major topic in the last few decades. Understanding vacuum arc (VA) gives the ability to improve vacuum circuit breakers capacity. In this paper, the interaction of a DC vacuum arc with a combined Axial-Radial magnetic field was investigated. The proposed system contains an external coil to produce axial magnetic field (AMF) across the vacuum chamber. The vacuum interrupter (VI) contacts were assumed to be untreated radial magnetic field (RMF) contacts. For this purpose, Finite Element Method (FEM) based Multiphysics simulation of the immerging magnetic field influence on the VA is presented. The simulation shown the ability of the presented system to deflect high DC vacuum arc, also reveals that the vacuum arc interruption capability increases with the rise of the axial component of the magnetic field. Simulation results shown that this method can be applied to improve the interruption capability of the VI.

Toroid spectrometer for electron-ion collider

2020 ◽  
Vol 35 (34n35) ◽  
pp. 2044021
Author(s):  
Ivan Koop
Keyword(s):  
Magnetic Field ◽  
Solid Angle ◽  
Opposite Sign ◽  
Beam Axis ◽  
Magnetic Spectrometer ◽  
The Future ◽  
Momentum Resolution ◽  
The Magnetic Field

In this paper, we present two options of the toroid magnetic spectrometer dedicated to measure the energy and the polar and the azimuthal angles of the scattered from the ion’s nuclear electrons in the future electron-ion collider DERICA at JINR. These options differ by the opposite sign of the magnetic field. In one of the options, the toroid magnetic field bends electrons towards the collision line, while in the option with the inverted field a bent is done outwards from the beam axis. We show that the last case provides much larger useful fraction of a solid angle for detection of the scattered electrons. The momentum resolution of such a spectrometer is estimated.

New scheme for computing the magnetic field resulting from a uniformly magnetized arbitrary polyhedron

Geophysics ◽  
1999 ◽  
Vol 64 (1) ◽  
pp. 70-74 ◽  
Author(s):  
D. Guptasarma ◽  
B. Singh
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Arbitrary Shape ◽  
Numerical Evaluation ◽  
Solid Angle ◽  
New Approach ◽  
Polygonal Surface ◽  
Magnetic Poles ◽  
The Magnetic Field

The magnetic field at any point outside a uniformly magnetized polyhedron of arbitrary shape is obtained by adding the fields resulting from the effective free magnetic poles on each of the polygonal surfaces of the polyhedron. For each polygonal surface, the components of the field at the point of observation are expressed in terms of new line integrals around the edges of the polygon and the solid angle subtended by the polygon at the point of observation. The line integrals are standard elementary forms. This new approach makes the numerical evaluation of the magnetic fields for such models much simpler and faster than previously published methods.

scholarly journals Why switchbacks may be related to solar granulation 

2021 ◽  
Author(s):  
Naïs Fargette ◽  
Benoit Lavraud ◽  
Alexis Rouillard ◽  
Victor Réville ◽  
Tai Phan ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Solid Angle ◽  
Temporal Characteristic ◽  
Fast Fourier Transformation ◽  
Solar Granulation ◽  
Radial Magnetic Field ◽  
Solar Convection ◽  
Parker Spiral ◽  
The Magnetic Field ◽  
Characteristic Scales

<p>Parker Solar Probe data below 0.3 AU have revealed a near-Sun magnetic field dominated by Alfvénic structures that display back and forth reversals of the radial magnetic field. They are called magnetic switchbacks, they display no electron strahl variation consistent with magnetic field foldings within the same magnetic sector, and are associated with velocity spikes during an otherwise calmer background. They are thought to originate either at the photosphere through magnetic reconnection processes, or higher up in the corona and solar wind through turbulent processes.</p><p>In this work, we analyze the spatial and temporal characteristic scales of these magnetic switchbacks. We define switchbacks as a deviation from the parker spiral direction and detect them automatically through perihelia encounters 1 to 6. We analyze the solid angle between the magnetic field and the parker spiral both over time and space. We perform a fast Fourier transformation to the obtained angle and find a periodical spatial variation with scales consistent with solar granulation. This suggests that switchbacks form near the photosphere and may be caused, or at least modulated, by solar convection.</p>

I.—Focusing of Electron Beams in Crossed Static Electric and Magnetic Fields

1962 ◽  
Vol 66 (1) ◽  
pp. 1-19
Author(s):  
P. S. Farago
Keyword(s):  
Magnetic Field ◽  
Electric Fields ◽  
Solid Angle ◽  
Scalar Potential ◽  
Charged Particles ◽  
Direction Parallel ◽  
Electric And Magnetic Fields ◽  
Double Focusing ◽  
The Magnetic Field ◽  
Focusing Properties

SynopsisIn a crossed static homogeneous electric and magnetic field charged particles describing trochoidal orbits in a plane perpendicular to the direction of the magnetic field are focused, but a beam emitted by a point source in a finite solid angle spreads out indefinitely in the direction parallel to the magnetic field. The essential characteristics of trochoidal orbits can be preserved if the superimposed magnetic and electric fields are two-dimensional and orthogonal, such as derived from a vector potential, say, Ax = A(y, z), Av = Az = O, and a scalar potential Ф(y, z)= const. A(y, z). The focusing properties of such a field combination depend on the distribution of the magnetic field only. Following some general considerations, specific examples of double focusing field distributions are given, and the electron motion in one of them is treated in detail.

Self-focusing of nonlinear ion-acoustic waves and solitons in magnetized plasmas

1985 ◽  
Vol 33 (2) ◽  
pp. 171-182 ◽  
Author(s):  
E. Infeld
Keyword(s):  
Magnetic Field ◽  
Nonlinear Waves ◽  
Acoustic Waves ◽  
Solid Angle ◽  
Ion Acoustic Waves ◽  
Weakly Nonlinear ◽  
Self Focusing ◽  
Long Wave ◽  
Weakly Nonlinear Waves ◽  
The Magnetic Field

The Zakharov-Kuznetsov equation describing Korteweg–de Vries waves and solitons in a strong, uniform magnetic field is rederived taking space stretching to be isotropic. This equation is then used to investigate nonlinear waves and solitons for long-wave instabilities. A solid angle of instability develops around the plane perpendicular to the magnetic field. For weakly nonlinear waves this angle is very narrow: widening as the amplitude of the nonlinear wave is increased. The soliton wave is unstable for all directions other than parallel to the field. Previous results of other authors, limited to solitons and perpendicular propagation are recovered. Calculations are illustrated by polar diagrams for the perturbations. Some broader implications are pointed out.

scholarly journals Synthesis of the Magnetic Field Using Transversal 3D Coil System

2015 ◽  
Vol 61 (2) ◽  
pp. 205-210 ◽  
Author(s):  
Bartłomiej Garda ◽  
Zbigniew Galias
Keyword(s):  
Magnetic Field ◽  
Homogeneous Magnetic Field ◽  
The Other ◽  
Axial Component ◽  
High Quality ◽  
Coil System ◽  
Design Requirements ◽  
The Magnetic Field ◽  
Optimisation Procedure

Abstract Magnetic field is usually generated using magnets realized as a set of simple coils. In general, those magnets generate magnetic field with nonzero components in all directions. Usually during the design process only one component of the magnetic field is taken into account, and in the optimisation procedure the currents and positions of simple coils are found to minimize the error between the axial component of the magnetic field and the required magnetic field in the ROI. In this work, it is shown that if the high quality homogeneous magnetic field is generated then indeed one may neglect non-axial components. On the other hand, if the obtained magnetic field is not homogeneous either due to design requirements of too restrictive constrains, then all other components may severely deteriorate the quality of the magnetic field. In the second part of the paper, we show how to design a 3D transversal coil system to solve problems which are intractable in the 1D case.

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