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Numerical analysis of 3D magnetostatic fields

IEEE Transactions on Magnetics, 1991
Formulations of three-dimensional magnetostatic fields are reviewed for their finite-element analysis. Partial differential equations and boundary conditions are set up for various kinds of potentials. Besides the method using two scalar potentials, several vector potential formulations are also discussed.
K. Preis   +6 more
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The Magnetostatic Field

1968
In this chapter we shall consider situations in which we have only a static magnetic field. As in the previous chapter, we shall find that the condition that the field be static leads to considerable simplification of the general results obtained in Chapter 2.
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Gravitational mass of magnetostatic field

Astrophysics and Space Science, 1996
Maxwell's displacement current equation is interpreted in the light of recent work to show that static magnetic field in free space should have a colocated and contemporaneous mass that is neither embodied in, nor can be anticipated from, the mass-energy relation. Thus magnetostatic field in the universe represents an ‘invisible’ mass.
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Multipole Theory Analysis of 3D Magnetostatic Fields

Journal of Electromagnetic Waves and Applications, 2006
A new approach, the multipole theory (MT) method based on the magnetic scalar potential, is presented for the computation of 3D magnetostatic field problems. The essential concept is to represent the solution of the governing partial differential equation by the generalized MT formula of the 3D Laplace equation.
Q. Zheng, H. Zeng
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Magnetostatic field of electric currents

Electronics and Power, 1964
The relationship between the magnetic scalar potential and an electric-current sheet is examined. It is shown that any magnetostatic field in a source-free region of space can always be produced by an electric current flowing on any smooth, closed surface bounding the region.
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The field concept in Ampère’s magnetostatics

American Journal of Physics, 2009
We update Ampère’s theory using vector notation and derive his expression for the force between two current elements. We assume that the two elements are in different current loops and integrate over one to obtain the force on a differential element in the second.
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Bilateral Method of Calculating Magnetostatic Fields

Journal of Mathematical Sciences
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A taxonomy of magnetostatic field lines

American Journal of Physics
Contrary to widespread belief, magnetostatic field lines do not ordinarily form closed loops. Why, then, are they in fact closed for so many familiar examples? What other topologies are possible, and what current configurations generate them?
Joel Franklin   +2 more
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Inverse Problem of Magnetostatics in Saturation Fields

Russian Journal of Nondestructive Testing, 2019
We have derived integro-differential equations whose solutions determine the shape of an arbitrary ferromagnetic saturation-magnetized body, or a cavity in it, without an a priori assumption that domains they occupy belong to any particular geometric class. The uniqueness of such determination is proved for a wide class of cases encountered in practice.
V. V. Dyakin   +2 more
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Induction probing of magnetostatic delay line fields

IEEE Transactions on Magnetics, 1979
Recently, significant advances have been achieved in the development of tunable microwave (1-20GHz) signal processing elements utilizing magnetostatic waves (MSW) propagating in magnetically biased films of Yttrium Iron Garnet (YIG). The devices use transversal filtering techniques similar to those utilized in surface acoustic waves (SAW) technology ...
C. Smith, J. Owens, T. Mears, N. Parikh
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