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Updated: Aug 11, 2026

Electric and Magnetic Field Devices for Stimulation of Biological Tissues
Published on: May 15, 2021
Pulse propagation, dispersion, and energy in magnetic materials
Michael Scalora1, Giuseppe D'Aguanno, Nadia Mattiucci
1Charles M. Bowden Research Center, AMSRD-AMR-WS-ST, RDECOM, Redstone Arsenal, Alabama 35898-5000, USA.
Abstract:
We discuss pulse propagation effects in generic, electrically and magnetically dispersive media that may display large material discontinuities, such as a surface boundary. Using the known basic constitutive relations between the fields, and an explicit Taylor expansion to describe the dielectric susceptibility and magnetic permeability, we derive expressions for energy density and energy dissipation rates, and equations of motion for the coupled electric and magnetic fields. We then solve the equations of motion in the presence of a single interface, and find that in addition to the now-established negative refraction process an energy exchange occurs between the electric and magnetic fields as the pulse traverses the boundary.
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