Scattering of electromagnetic waves from vibrating perfect surfaces: Simulation using relativistic boundary conditions

One-dimensional numerical simulation of electromagnetic waves scattered from vibrating perfect conductor is reported in this paper. The computational results are generated by the method of characteristics with the application of the relativistic and characteristic variable boundary conditions. The perfect conductor may oscillate either in zipag or sinusoidally. For easy observation of oscillatory effects on the reflected electromagnetic waves, objects are set to vibrate at a very high frequency with constant amplitude such that the extreme instantaneous velocity is about one tenth of the speed of light. The numerical calculations show that the reflected electric fields bear the oscillatory characteristics of the vibrating perfect conductor and that the change in magnitude are in agreement with the theoretical Doppler shift values.