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Transient electromagnetic field of a vertical magnetic dipole above a plane plasmonic half-space

The enhancement of the electromagnetic field at the surface of a Drude metal has been investigated extensively in the frequency domain. However, to understand what is actually happening to the electromagnetic field at the near vicinity of a Drude metal, an analysis in the space-time domain can give additional insight in the physical phenomena at work. The pulsed radiation from a vertical magnetic dipole above a plane Drude model plasmonic half-space is investigated. An integral representation of the reflection factor at the interface allows the application of the modified Cagniard-de Hoop method to derive closed form space-time domain expressions for the reflected field above and even at the near vicinity of the interface.