scholarly journals Alleviating oscillatory approximate-kernel solutions for cylindrical antennas embedded in a conducting medium: a numerical and asymptotic study

2020 ◽  
Vol 95 (5) ◽  
pp. 055503
Author(s):  
Th K Mavrogordatos ◽  
C Mystilidis ◽  
P J Papakanellos ◽  
G Fikioris
Keyword(s):  
Conducting Medium ◽  
Asymptotic Study ◽  
Cylindrical Antennas

SOME COMMENTS ON THE DYNAMICS OF EXTENDED OBJECTS

1998 ◽  
Vol 13 (17) ◽  
pp. 2979-2990 ◽  
Author(s):  
U. KHANAL
Keyword(s):  
Wave Equation ◽  
Energy Density ◽  
Pure Shear ◽  
Equation Of Motion ◽  
Conducting Medium ◽  
Constant Density ◽  
Metric Tensor ◽  
World Volume ◽  
The World ◽  
Hilbert Action

A variational method is used to investigate the dynamics of extended objects. The stationary world volume requires the internal coordinates to propagate as free waves. Stationarity of the action which is the integral of a variable energy density over the world volume leads to the wave equation in a medium, with conductivity given by the gradient of the logarithm of reciprocal energy density, constant density corresponding to free space. The Einstein–Hilbert action for the world curvature gives an equation of motion which, in world space with the Einstein tensor proportional to the metric tensor, reduces to the free wave equation. A similar method applied to the action consisting of the surface area enclosing an incompressible world volume undergoing pure shear again yields the wave equation in a conducting medium. Simultaneous stationarity of the volume can be imposed with a stationary area only in the case of pure shear; stationary Einstein–Hilbert action can also be included and lead to an equation of motion which has a similar interpretation of the wave in the conducting medium. Some Green functions applicable to the medium with constant conductivity are also presented.

scholarly journals 3. Remarks on Dielectric Strength

1882 ◽  
Vol 11 ◽  
pp. 487-498
Author(s):  
Chrystal
Keyword(s):  
Mechanical Stress ◽  
Elastic Body ◽  
Present State ◽  
Physical Condition ◽  
Dielectric Strength ◽  
Conducting Medium ◽  
Main Thing ◽  
Lines Of Force

The phenomena accompanying the disruptive discharge of electricity are, in the present state of electric science, among the most interesting known, because they are the least understood, and, so far as we know, the least concordant with our preconceived ideas. The simplest way of representing the facts is to imagine with Faraday that the non-conducting medium, or dielectric, between two charged conductors is the seat of mechanical stress, consisting of tension along, and pressure perpendicular to, the lines of force. The rupture of the dielectric may then be conceived as a phenomenon precisely analogous to the rupture of an elastic body under stress. We are thus led to the conclusion that the commencement of the rupture happens at that particular point where the tension first reaches a certain value, called the breaking tension or dielectric strength, which depends merely on the material of the dielectric, and on its physical condition at the time being. The main thing in any experiment on dielectric strength is to know the tension at the point where the rupture begins.

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