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

Erden, F.
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 Phenomena – Springer Journals

Published: May 30, 2018

References

  • Essays on the Formal Aspects of Electromagnetic Theory
    Hillion, P.
  • Essays on the Formal Aspects of Electromagnetic Theory
    Harmuth, H. F.
  • Propagation of Transient Electromagnetic Waves in Inhomogeneous and Dispersive Waveguides
    Bernekorn, P.; Karlsson, A.; Kristensson, G.
  • Propagation of Ultra-Wide-Band Electromagnetic Pulses through Dispersive Media
    Dvorak, S. L.; Duldy, D. G.
  • Transient Electromagnetic Wave Propagation in Waveguides
    Kristensson, G.
  • IEEE APS/URSI Meeting
    Tretyakov, O. A.; Erden, F.
  • Susceptibility of Personal Computer Systems to Electromagnetic Pulses with Double Exponential Character
    Camp, M.; Garbe, H.
  • On the Analysis ofUWBCommunication Channels
    Cramer, J. M.; Scholtz, R. A.; Win, M. Z.
  • Excitation by a Transient Signal of the Real-Valued Electromagnetic Fields in a Cavity
    Erden, F.; Tretyakov, O. A.
  • Proceedings of the 4th International Workshop on Electromagnetic Wave Scattering
    Tretyakov, O. A.; Erden, F.
  • Temporal Cavity Oscillations Caused by a Wide-Band Waveform
    Tretyakov, O. A.; Erden, F.
  • Inhomogeneous Relativistic Electron Beam Interaction with Inhomogeneous Warm Plasma
    -Sharif, R. N.; -Shorbagy, Kh. H.
  • Parameter Estimation of Double Exponential Pulses (EMP, UWB) with Least Squares and Nelder–Mead Algorithm
    Camp, M.; Garbe, H.
  • Shape Properties of Pulses Described by Double Exponential Function and Its Modified Forms
    Wu, G.
  • Proceedings of the 5th International Conference on Ultrawideband and Ultrashort Impulse Signals (September 6–10, 2010, Sevastopol)
    Antyufeyeva, M. S.; Tretyakov, O. A.
  • Relativistic Laguerre Polynomials and Splash Pulses
    Torre, A.
  • Analytical and Numerical Methods in Electromagnetic Wave Theory
    Tretyakov, O. A.
  • Study of a Time Variant Cavity System
    Aksoy, S.; Tretyakov, O. A.
  • The Evolution Equations in Study of the Cavity Oscillations Excited by a Digital Signal
    Aksoy, S.; Tretyakov, O. A.
  • Proceedings of the 30th URSI General Assembly and Scientific Symposium
    Erden, F.; Tretyakov, O. A.
  • IEEE International Symposium on Antennas and Propagation and USNC-URSI National Radio Science Meeting
    Erden, F.; Tretyakov, O. A.
  • Evolutionary Approach to Solve an Novel Time-Domain Cavity Problem
    Erden, F.
  • Time-Domain Cavity Oscillations Supported by a Temporally Dispersive Dielectric
    Aksoy, S.; Antyufeyeva, M.; Basaran, E.; Ergin, A. A.; Tretyakov, O. A.
  • Transient Evolution of Eigenmodes in Dynamic Cavities and Time-Varying Media
    Gradoni, G.; Arnaut, L. R.
  • Supernonlinear Ion-Acoustic Waves in a Dusty Plasma
    Dubinov, A. E.; Sazonkin, M. A.
  • Electromagnetics
    Rothwell, E. J.; Cloud, M. J.
  • Electromagnetic Fields
    VanBladel, J.
  • Field Theory of Guided Waves
    Collin, R. E.
  • Theory of Functions onMatrices and Systems of Linear Differential Equations
    Lappo-Danilevsky, J. A.
  • Surges on Transmission Systems
    Hayashi, S.

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