A Generalized Expression for the Energy Density of Electromagnetic Waves in Media with Strong Temporal Dispersion
Dan Anderson · 1972
The study derives a generalized energy density expression for electromagnetic waves in lossless, homogeneous, isotropic media with temporal dispersion that includes higher-order correction terms.
Plain English Summary
Researchers derived a generalized expression for electromagnetic wave energy density in lossless, homogeneous, isotropic media with temporal dispersion. The expression generalizes the standard form by including higher-order derivatives of dielectric and permeability functions and field amplitudes. Correction terms become important for strong dispersion or broad band signals, as shown with a Gaussian chirp pulse example.
Why This Matters
A third-order expansion is provided, deemed sufficient for most practical purposes. The electric part of the energy density is a quadratic expression in amplitude and its derivatives, enabling detailed treatment of dispersion from higher-order derivatives. The method uses bilinear concomitants and adjoint operators, which the author finds convenient for energy density and flow studies in dispersive media.
Show BibTeX
@article{a_generalized_expression_for_the_energy_density_of_electromagnetic_waves_in_medi_g7224,
author = {Dan Anderson},
title = {A Generalized Expression for the Energy Density of Electromagnetic Waves in Media with Strong Temporal Dispersion},
year = {1972},
}