Weak Fronts of Maxwell Equations for Conducting Media

Abstract

We analyze propagation of electromagnetic fronts in unbounded electric conductors. Our model is based on the Maxwell model of electromagnetism, which includes the displacement current and the Ohms law in their simplest forms. The weak electromagnetic front is a propagating surface at which the electric and magnetic fields remain continuous, whereas their first and higher-order derivatives experience finite jumps. Remarkably, full analysis of such fronts appears to be autonomous. This means that in order to analyze such fronts, there is no need to explore the solutions out of the fronts. This property opens the possibility of establishing analytically exact solution implications of the full Maxwell systems and establishing the laws of evolution of intensity of the jumps on such fronts.

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Document Details

Document Type
Technical Report
Publication Date
Jun 30, 2021
Accession Number
AD1139923

Entities

People

  • Michael Grinfeld
  • Pavel Grinfeld

Organizations

  • United States Army Combat Capabilities Development Command

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Fields of Study

  • Physics

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  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
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