Temporal and Spatial Development of the EM Field in a Shielding Enclosure with Aperture after Transient Interference Caused by a Subnanosecond High-Energy EM Plane Wave Pulse

A proper assessment of the shielding effectiveness of an enclosure with aperture under subnanosecond transient interference requires a better understanding of the coupling and development mechanisms of the EM field induced inside the enclosure. In this paper, the results of a numerical study of the temporal and spatial development of the electromagnetic (EM) field in a shielding enclosure with aperture after transient interference caused by a subnanosecond high-energy EM plane wave pulse are presented. The interference pulse had Gaussian distribution of the electric and magnetic fields with amplitudes of 106 V/m and 2.68·103 A/m, respectively. The maximum pulse power density was 2.68 GW/m2. The novelty of this study was 2D and 3D images, which visualized the temporal and spatial build-up of electric and magnetic fields in the shielding enclosure within 90 ns after the transient interference. This is 58 times longer than the time needed by any EM wave to travel the distance between the front and rear walls of the enclosure. The presented images, showing the EM field morphology over a relatively long period of time, were crucial for understanding the EM field build-up process inside the shielding enclosure with aperture. They revealed the existence of two unknown phases of the EM field build-up in the enclosure with aperture. We call these two phases the wave phase and the interference phase. In the wave phase, the EM field is generated in the form of so-called primary and secondary wave pulses, traveling towards the enclosure rear wall. In the interference phase, the EM field has the form of temporally and spatially varying pulse-like interference (size-limited) patterns of the associated electric and magnetic fields. The EM field induced in the enclosure is long-lasting compared to the interference pulse duration. The amplitudes of the electric and magnetic fields decreased about threefold in 5 ns and 30-fold in 90 ns, thus exhibiting a severe EM hazard for much longer than the external interference duration. For a long period of time, the highest EM field amplitudes would change their locations in the enclosure, which makes it difficult to assess the shielding effectiveness on the basis of classical definitions. The existence of the long-lasting temporally and spatially varying EM field induced in the enclosure with aperture by the subnanosecond transient interference, visualized in detail in this paper, confirms that a new definition and measurement methods of shielding effectiveness under transient conditions are needed. The obtained results provide a source of data that can be useful when working on the introduction of time-domain parameters to evaluate the transient shielding effectiveness in the case of the ultrashort EM interference.

Download Full-text

Temporal and spatial spectroscopy of the plasma formation in crossed electric and magnetic fields

Journal of Applied Physics ◽

10.1063/1.327973 ◽

1980 ◽

Vol 51 (5) ◽

pp. 2520 ◽

Cited By ~ 4

Author(s):

V. I. Miljević ◽

D. Dj. Toic

Keyword(s):

Magnetic Fields ◽

Plasma Formation ◽

Electric And Magnetic Fields ◽

Temporal And Spatial

Download Full-text

A multi-term solution of the nonconservative Boltzmann equation for the analysis of temporal and spatial non-local effects in charged-particle swarms in electric and magnetic fields

Plasma Sources Science and Technology ◽

10.1088/0963-0252/20/2/024013 ◽

2011 ◽

Vol 20 (2) ◽

pp. 024013 ◽

Cited By ~ 37

Author(s):

S Dujko ◽

R D White ◽

Z Lj Petrović ◽

R E Robson

Keyword(s):

Charged Particle ◽

Boltzmann Equation ◽

Magnetic Fields ◽

Local Effects ◽

Particle Swarms ◽

Electric And Magnetic Fields ◽

Non Local ◽

Temporal And Spatial

Download Full-text

London-Proca-Hirsch Equations for Electrodynamics of Superconductors on Cantor Sets

Evolving Trends in Engineering and Technology ◽

10.18052/www.scipress.com/etet.4.1 ◽

2015 ◽

Vol 4 ◽

pp. 1-7 ◽

Cited By ~ 1

Author(s):

Victor Christianto

Keyword(s):

Magnetic Fields ◽

Maxwell Equations ◽

High Energy Physics ◽

High Energy ◽

Cantor Sets ◽

Vector Calculus ◽

Electric And Magnetic Fields ◽

Proca Equations ◽

First Time ◽

Energy Physics

In a recent paper published at Advances in High Energy Physics (AHEP) journal, Yang Zhao et al. derived Maxwell equations on Cantor sets from the local fractional vector calculus. It can be shown that Maxwell equations on Cantor sets in a fractal bounded domain give efficiency and accuracy for describing the fractal electric and magnetic fields. However, so far there is no derivation of equations for electrodynamics of superconductor on Cantor sets. Therefore, in this paper I present for the first time a derivation of London-Proca-Hirsch equations on Cantor sets. The name of London-Proca-Hirsch is proposed because the equations were based on modifying Proca and London-Hirsch’s theory of electrodynamics of superconductor. Considering that Proca equations may be used to explain electromagnetic effects in superconductor, I suggest that the proposed London-Proca-Hirsch equations on Cantor sets can describe electromagnetic of fractal superconductors. It is hoped that this paper may stimulate further investigations and experiments in particular for fractal superconductor. It may be expected to have some impact to fractal cosmology modeling too.

Download Full-text

Proton radiography of dynamic electric and magnetic fields in laser-produced high-energy-density plasmas

Physics of Plasmas ◽

10.1063/1.3096781 ◽

2009 ◽

Vol 16 (5) ◽

pp. 056304 ◽

Cited By ~ 19

Author(s):

C. K. Li ◽

F. H. Séguin ◽

J. A. Frenje ◽

M. Manuel ◽

D. Casey ◽

...

Keyword(s):

Energy Density ◽

Magnetic Fields ◽

High Energy ◽

High Energy Density ◽

Proton Radiography ◽

Electric And Magnetic Fields ◽

High Energy Density Plasmas

Download Full-text

Charged particle motion in spatially varying electric and magnetic fields

Nuclear Instruments and Methods in Physics Research Section B Beam Interactions with Materials and Atoms ◽

10.1016/j.nimb.2006.01.052 ◽

2006 ◽

Vol 247 (1) ◽

pp. 147-154 ◽

Cited By ~ 5

Author(s):

J.A. Young ◽

C.M. Surko

Keyword(s):

Charged Particle ◽

Magnetic Fields ◽

Particle Motion ◽

Electric And Magnetic Fields ◽

Charged Particle Motion ◽

Spatially Varying

Download Full-text

Chemical temporal and spatial structures in strong magnetic field

Collection of Czechoslovak Chemical Communications ◽

10.1135/cccc19891232 ◽

1989 ◽

Vol 54 (5) ◽

pp. 1232-1243 ◽

Cited By ~ 1

Author(s):

Július Krempaský ◽

Miroslava Smrčinová

Keyword(s):

Magnetic Field ◽

Magnetic Fields ◽

Spatial Structures ◽

Random Generation ◽

Electric And Magnetic Fields ◽

Wave Forms ◽

Chemical Waves ◽

Temporal And Spatial ◽

Speed Of Propagation ◽

Good Agreement

Temporal and spatial structures in the Belousov-Zhabotinskii systems in constant electric and strong magnetic fields are studied in this paper. Unlike a random generation of chemical wave center in a system without the influence of an electromagnetic field we have observed that only one wave forms in the presence of electric and magnetic fields of suitable intensity and induction. Its speed of propagation depends on the connected fields. A theory of this phenomenon has been developed and the obtained results are in a good agreement with experimentally measured dependences of the temporal period of chemical waves on electric field intensity and magnetic field induction.

Download Full-text

A note on the geometry of electromagnetism

International Journal of Modern Physics E ◽

10.1142/s0218301314500761 ◽

2014 ◽

Vol 23 (11) ◽

pp. 1450076 ◽

Cited By ~ 1

Author(s):

B. G. Sidharth

Keyword(s):

Reynolds Number ◽

Magnetic Fields ◽

Noncommutative Geometry ◽

High Energy ◽

High Energies ◽

Electric And Magnetic Fields

It is argued that electric and magnetic fields are generated by the noncommutative geometry at high energies rather like the minimum conductivity in graphene. An exact Reynolds number type of correspondence between graphene and high energy phenomena is also established.

Download Full-text

The One-electron Quantum Hamiltonian in the Presence of EM Fields

Quantum Theory for Chemical Applications ◽

10.1093/oso/9780190920807.003.0021 ◽

2020 ◽

pp. 400-435

Author(s):

Jochen Autschbach

Keyword(s):

Charged Particle ◽

Magnetic Fields ◽

Molecular Properties ◽

Spectroscopic Techniques ◽

Nuclear Spins ◽

Electric And Magnetic Fields ◽

Quantum Hamiltonian ◽

Electron Quantum ◽

Em Field ◽

The One

The interaction between atoms or molecules and electromagnetic (EM) fields underlies all spectroscopic techniques and a great variety of desirable molecular properties. EM fields and EM waves are introduced via the famous Maxwell equations. The scalar and vector potential are defined, and the gauge freedom is outlined. The Coulomb gauge is adopted. The classical Hamiltonian for a charged particle in an EM field is derived, and from this the ‘minimal substitution’ rules for incorporating the fields in the quantum Hamiltonian are obtained. The operators describing the interaction of an electron with static electric and magnetic fields, including the magnetic fields from nuclear spins, are derived, followed by the derivation of the interaction between an electron and an EM wave.

Download Full-text