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We extend the usual derivation of the wave equation from Maxwell's equationsin vacuum to the case of electromagnetic fields in dispersive homogeneousisotropic linear media. Usually, dispersive properties of materials are studiedin Fourier space. However, it can be rewarding to consider these properties ascausal functions of time. Due to temporal non locality, this procedure givesrise to an integrodifferential equation for the electromagnetic fields, whichwe also call a wave equation. We have not found this equation in the literatureand we show in this paper why it can be useful.

An Integrodifferential Equation for Electromagnetic Fields in Linear Dispersive Media