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Study of the Surge Signals in a Plasma-Filled Rectangular Cavity

Study of the Surge Signals in a Plasma-Filled Rectangular Cavity The aim of this analytical study of a plasma-filled rectangular cavity in time domain is to exhibit the ability of the evolutionary approach to study the electromagnetic fields forced by surge signals in a dynamical system. Maxwell’s equations for the fields and the boundary conditions for the perfect electric conductor rectangular cavity are supplemented with the constitutive relation for the plasma. Two different pulse waveforms were used for modeling of the surge signals exciting the fields. The solution is obtained for the dynamical system in the form of product of two elements. First element that depends on coordinates is a modal basis. The other element depending on time is a modal amplitude. The modal basis is specified as a summation of four subspaces. Two of these subspaces resemble the solenoidal modes, and the other two resemble the irrotational modes. Evolutionary differential equations with initial conditions are obtained and solved analytically for the amplitudes. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physics of Wave Phenomena Springer Journals

Study of the Surge Signals in a Plasma-Filled Rectangular Cavity

Physics of Wave Phenomena , Volume 26 (2) – May 30, 2018

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Publisher
Springer Journals
Copyright
Copyright © 2018 by Allerton Press, Inc.
Subject
Physics; Quantum Optics; Acoustics
ISSN
1541-308X
eISSN
1934-807X
DOI
10.3103/S1541308X18020085
Publisher site
See Article on Publisher Site

Abstract

The aim of this analytical study of a plasma-filled rectangular cavity in time domain is to exhibit the ability of the evolutionary approach to study the electromagnetic fields forced by surge signals in a dynamical system. Maxwell’s equations for the fields and the boundary conditions for the perfect electric conductor rectangular cavity are supplemented with the constitutive relation for the plasma. Two different pulse waveforms were used for modeling of the surge signals exciting the fields. The solution is obtained for the dynamical system in the form of product of two elements. First element that depends on coordinates is a modal basis. The other element depending on time is a modal amplitude. The modal basis is specified as a summation of four subspaces. Two of these subspaces resemble the solenoidal modes, and the other two resemble the irrotational modes. Evolutionary differential equations with initial conditions are obtained and solved analytically for the amplitudes.

Journal

Physics of Wave PhenomenaSpringer Journals

Published: May 30, 2018

References