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Plane electromagnetic wave propagating in perfect electromagnetic conductor (PEMC) is considered. Its wave number has no connection with the frequency. An interface is introduced between an ordinary isotropic medium and PEMC. The wave in PEMC is matched to plane electromagnetic wave incident normally on the interface from the ordinary medium and reflected from it. Then the plane-parallel slab made of PEMC is considered and a plane wave is found in it.

A new kind of Fourier transformation is proposed for distributions taking values in the Clifford algebra of three-dimensional space, with the unit imaginary replaced by the unit trivector. The transformation is used to introduce special distributions that describe the free electromagnetic field.

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