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In this paper, the electromagnetic radiation from an oscillating particleplaced in the vicinity of an object of size comparable to the wavelength isstudied. Although this problem may seem academic at first sight, the details ofthe calculations are presented throughout without any detail left under thecarpet. A polyharmonic decomposition of the radiation sources allows thediffraction problem to be fully characterised while satisfying energyconservation. Finally, the source expressions obtained are suitable for use ina numerical code. A 3D illustration using finite elements is provided.

Electrodynamics of an oscillating particle without cheating PART I : In vacuo. PART II : Near a dispersive bulk