The problem states that the electric displacement field $\vec{D}$ and the magnetic field $\vec{B}$ are given by:
\[
\vec{D} = \vec{D}_0 e^{i \omega t}, \quad \vec{B} = \vec{B}_0 e^{i \sigma t}
\]
where $\vec{D}_0$ and $\vec{B}_0$ are the amplitude vectors of the
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