An Integrodifferential Equation for Electromagnetic Fields in Linear Dispersive Media

An Integrodifferential Equation for Electromagnetic Fields in Linear Dispersive Media

We extend the usual derivation of the wave equation from Maxwell’s equations in vacuum to the case of electromagnetic fields in dispersive homogeneous isotropic linear media. Usually, dispersive properties of materials are studied in Fourier space. However, it can be rewarding to consider these prop...

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Bibliographic Details
Published in:Brazilian journal of physics Vol. 49; no. 5; pp. 734 - 737
Main Authors: Coelho, V. A., Rosa, F. S. S., Melo e Souza, Reinaldo de, Farina, C., Cougo-Pinto, M. V.
Format: Journal Article
Language:English
Published: New York Springer US 15-10-2019
Springer Nature B.V
Subjects:
Electromagnetic fields
Electromagnetism
General and Applied Physics
Material properties
Physics
Physics and Astronomy
Wave equations
Integrodifferential equation
Electromagnetism
Dispersive wave equation
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Summary:We extend the usual derivation of the wave equation from Maxwell’s equations in vacuum to the case of electromagnetic fields in dispersive homogeneous isotropic linear media. Usually, dispersive properties of materials are studied in Fourier space. However, it can be rewarding to consider these properties as causal functions of time. Due to temporal non locality, this procedure gives rise to an integrodifferential equation for the electromagnetic fields, which we also call a wave equation. We have not found this equation in the literature and we show in this paper why it can be useful.
ISSN:0103-9733
1678-4448
DOI:10.1007/s13538-019-00683-4