Relationship between pulse response waveforms and shapes of the scatterers

An indented body of revolution is used as a scatterer. Response waveforms for convex and concave portions are found to have the same shapes as the incident pulse. The response waveform from the saddlelike portion is a Hilbert transformation of the incident pulse. Therefore, when the incident pulse is an even (odd) function, the response waveform becomes an odd (even) function. The response waveform from the concave-convex portion (complex stationary point) is a superposition of two responses given by the integral transformations of the incident pulse. The response waveform from the ring-shaped stationary point is given by the integral transformation expressed by a specified equation.<>