Strong pulsed magnetic fields are important for several fields in physics and engineering, such as power generation and accelerator facilities. Basic aspects of the generation of strong and superstrong pulsed magnetic fields technique are given, including the physics and hydrodynamics of the conductors interacting with the field as well as an account of the significant progress in generation of strong magnetic fields using the magnetic accumulation technique. Results of computer simulations as well as a survey of available field technology are completing the volume.
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Yes, you can access Strong and Superstrong Pulsed Magnetic Fields Generation by German A. Shneerson, Mikhail I. Dolotenko, Sergey I. Krivosheev in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Physics. We have over one million books available in our catalogue for you to explore.
1Magneticfields of axially symmetrical magnetic systems used for generation of the strong fields (methods of calculation, assessment of the edge effects)
1.1Magnetic field of the systems with the given current distribution
As a rule, the size of the pulsed devices-Rmax do not exceed a few meters, and this is why at the characteristic frequencies of the order of 1 MHz and lower one can assume that discharge regimes are quasi stationary. This is valid if the case when
(λ is the electromagnetic wavelength in a vacuum) is not considered. Therefore the assumption on quasi stationary behavior is applied in all chapters of this book. The vector of induction in the space outside of conductors at these conditions obeys the Maxwell equations [1][2][3]:
(1.1)
(1.2)
In this chapter we consider the often exploited configurations of solenoid used at the generation of strong and superstrong fields. In the axis symmetrical configurations (Figure 1.1) two types of magnetic structures are possible: poloidal and azimuthal fields. In Table 1.1 we present the components of the vector potential and vectors of induction and current density for both of these field configurations.
At the given current distribution the induction of the toroidal field, having only one component could be calculated from the law of the total current:
(1.3)
where r is the radial coordinate of the point N, and
is the total current passing through the circle with radius r.
The azimuthal component of the vector potential Aϕ, flow function
and the scalar magnetic potential UM of the axialy symmetrical poloidal field satisfy to the following equations reduced from Maxwell equations:
(1.4)
(1.5)
(1.6)
Fig.1.1: Magnetic systems with the field depending on two coordinates: (a) axis symmetrical toroidal field with
; (b) axis symmetrical poloidal field with B = (Br,, 0, Bz),
(c) flat analog to the toroidal field with B = (0, 0, Bz),
=
; (d) flat analog to the poloidal field with B = (Bx, By, 0),
.
Table 1.1: Two types of magnetic fields: poloidal and toroidal.
The vector of induction of poloidal field outside of conductor is expressed via the functions UM, Aϕ and Ψ by the well-known formulas
(1.7)
(1.8)
At known axially- symmetrical current distribution on the cross section of solenoid winding, the vector potential of the poloidal field in the arbitrary point N with cylindrical coordinates r, z is expressed in a following way:
(1.9)
where rt, zt, ϕt are the coordinates of the point t, on the cross section of the conductor rt, zt, ϕtrt,T and K(k) and E(k) are complete elliptic integrals with module k = 2(rrt)1/2[(z−zt)2 + (r+ rt)2]−1/2.
From here one can obtain the expressions for the induction on the axis of the solenoid:
(1.10)
and the important formulas f...
Table of contents
De Gruyter Studies in Mathematical Physics
Title Page
Copyright Page
Table of Contents
Introduction
1 Magnetic fields of axially symmetrical magnetic systems used for generation of the strong fields (methods of calculation, assessment of the edge effects)
2 Calculating formulas and the results of numerical estimations of field parameters for typical single-turn magnets
3 Field diffusion into the conductors and their heating
4 Matching of the parameters of solenoids and power supply sources
5 Electromagnetic forces and mechanical stresses in multiturn solenoids. The optimization of multilayered windings
6 Generation of strong magnetic fields in multiturn magnets
7 Solenoids with quasi-force-free windings
8 Generation of strong pulsed magnetic fields in single-turn magnets. Magnetic systems for the formation of pulsed loads
9 Generation of ultrahigh magnetic fields in destructive single-turn magnets
