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Showing papers on "Scalar potential published in 1980"


Journal ArticleDOI
TL;DR: In this article, the authors used high toroidal mode number expansion to reduce the lowest-order system of equations to a set of ordinary (along the field line) integro-differential equations for low frequency, short perpendicular wavelength, electromagnetic perturbations in an inhomogeneous, magnetically confined plasma.
Abstract: Kinetic equations for low frequency, short perpendicular wavelength, electromagnetic perturbations in an inhomogeneous, magnetically confined plasma are developed. The analysis makes use of the recently developed high toroidal mode number expansion to reduce the lowest‐order system of equations to a set of ordinary (along the field line) integro‐differential equations. Included in these equations are the effects of finite Larmor radius, magnetic shear, trapped particles, and nonuniform magnetic curvature drifts. Perturbed fields are represented by a scalar potential and two components of the vector potential. Thus, the effects of the compressional component of the perturbed magnetic field are retained and the equations are valid for arbitrary values of the plasma pressure. The extension of the high toroidal mode number expansion to nonaxisymmetric configurations is discussed.

381 citations


Journal ArticleDOI
TL;DR: In this article, a numerical method is proposed to compute three-dimensional magnetic field distributions in nonlinear nonhomogeneous media, neglecting hysteresis and eddy currents.
Abstract: A numerical method is proposed to compute three-dimensional magnetic field distributions in nonlinear nonhomogeneous media, neglecting hysteresis and eddy currents. The magnetic field is derived from a scalar potential satisfying a nonlinear elliptic equation, which is solved by a convergent iterative method. A finite element program has been developed to compute the magnetic field distribution in transformer cores. Some numerical results for a butt and lap corner configuration are discussed.

45 citations


Journal ArticleDOI
TL;DR: The Onsager-Machlup Lagrangian for diffusion processes in curved spaces is determined by evaluating the covariant path integral by means of a spectral analysis of smooth trajectories in Riemannian normal coordinates as mentioned in this paper.
Abstract: The Onsager-Machlup Lagrangian for diffusion processes in curved spaces is determined by evaluating the covariant path integral by means of a spectral analysis of smooth trajectories in Riemannian normal coordinates. The Lagrangian involves a novel curvature scalar potential term v=− ( 1 8 ) R . The present treatment replaces an earlier one.

38 citations


Journal Article
TL;DR: In this article, it was shown that there is no 4l missing scalar potential in the mode analysis for closed cylindrical cavities, as had been suspected before, and the equivalence of these analytic solutions, as well as the good agreement with numerical methods, showed that there are no 4 l missing scalars in the time domain.
Abstract: The wake potential of a bunch of charged particles is required for the calculation of energy loss and beam stability in high-energy particle accelerators or storage rings. Exact solutions for the wake potential are only known for closed cylindrical cavities, and can be obtained either by mode analysis or in the time domain. The equivalence of these analytic solutions, as well as the good agreement with numerical methods, shows that there is no 4l. missing scalar potential" in the mode analysis, as had been suspected before. The mode analysis can be generalized to cavities of arbitrary shape when the resonant frequencies and loss parameters are known for each mode.

22 citations


Journal ArticleDOI
TL;DR: In this article, the generalized Fenyes-Nelson model of quantum mechanics is applied to the free scalar field, which is equivalent to the Euclidean Markov field with the times scaled by a common factor which depends on the diffusion parameter.
Abstract: The generalized Fenyes-Nelson model of quantum mechanics is applied to the free scalar field. The resulting Markov field is equivalent to the Euclidean Markov field with the times scaled by a common factor which depends on the diffusion parameter. This result is consistent with Guerra's earlier work on stochastic quantization of scalar fields. It suggests a deep connection between Euclidean field theory and the stochastic interpretation of quantum mechanics. The question of Lorentz covariance is also discussed.

14 citations


Journal ArticleDOI
TL;DR: In this article, a simplified Hallen-type integral equation and an integral equation for the scalar potential of the antenna composed of straight wires are formulated and applied to umbrella antennas, and the integral terms in these equations are analytically reduced to single integrals.
Abstract: Umbrella antennas of heights 0.125\lambda and 0.5141\lambda are numerically and experimentally analyzed, and the effect of the junction on the current distribution is discussed. A simplified Hallen-type integral equation and an integral equation for the scalar potential of the antenna composed of straight wires are formulated and applied to umbrella antennas. The integral terms in these equations are analytically reduced to single integrals, and the extended boundary condition that the electric field vanishes on the axis of the antenna is used.

4 citations



Journal ArticleDOI
TL;DR: In this article, the static paramagnetic response of thin superconductors of the first kind to terms proportional to a static external magnetic field and a static scalar potential was calculated.
Abstract: We calculate the static paramagnetic response of thin superconductors of the first kind to terms proportional to a static external magnetic field and a static scalar potential. The response is in t...

2 citations


Journal ArticleDOI
TL;DR: In this paper, the optimality conditions for intermediate-thrust arcs (IT-arcs) of rocket trajectories in rotating potential force fields where Coriolis-forces have to be taken into account are derived.
Abstract: Optimality conditions for intermediate-thrust arcs (IT-arcs) of rocket trajectories in rotating potential force fields where Coriolis-forces have to be taken into account are derived. For coplanar problems, the existence of IT-arcs in optimal time-free transfers depends on inequality conditions, based mainly on properties of the local potential field. Therefore, the region of the potential force field, where no time-free optimal IT-arc exists, can easily be evaluated. As an example the restricted three-body problem will be considered.