Numerical Simulation of scattering of electromagnetic waves from traveling and/or vibrating perfect conducting planes

This paper presents the one-dimensional computational results for electromagnetic waves scattered from traveling and/or vibrating perfect conducting planes via the application of the characteristic-based method. Relativistic boundary conditions combined with the characteristic variable boundary conditions are employed to account for relativistic effects due to the very high-speed motion of the conductor. The variations in both magnitude and frequency of the reflected electric field were investigated by comparing the computational results with the theoretical double-Doppler shift values. A maximum error percentage of less than 0.50% was found. It is also concluded that when the perfect conducting plane travels and vibrates simultaneously, the Doppler effects in frequency that are impressed on the reflected fields can be predicted, on the basis of computational results, simply dividing the vibrating frequency of perfect conducting plane by the factor (1+β_t) where β_t is the ratio of the traveling velocity to the speed of light.