An improved model for the phase of backscattered electromagnetic fields from a conducting rotating cylinder

The rotation or vibration of a complex scattering object induces frequency modulations on the scattered signal. This modulation during this rotation or vibration is referred to as the micro-Doppler effect. The Micro-Doppler effect was investigated by many researchers in the past for different types of rotating objects, such as propellers of a fixed wing aircraft and rotors of a helicopter. In this paper, we examine the time-frequency analysis of a rotating, very good conducting cylinder. The scattering of an electromagnetic H-wave by a rotating very good conducting cylinder is investigated using the Franklin transformation. Then, micro-Doppler effects can be extracted by using the short time, fast Fourier transform for scattered fields associated with the rotational motion. The simulated results confirm that the Franklin transformation gives a more accurate analysis for a rotating, very good conducting cylinder than Galilean transformation. Also the results demonstrate the difference between the stationary and rotating very good conducting cylinders in time frequency analysis. Finally, the simulation shows that this approach produces a different result than previous approaches such as the Chen model.