The technique of laser range-Doppler image has get growing attentions from aerospace and national defense experts.
Recently, in laser range-Doppler image system, laser scatter feature has been used for target ranging and orientation.
Laser range-Doppler image can identify the moving components of the aeroplane, and detect the moving disk and sphere.
Meanwhile, it is also widely used in detection of the moving gesture of the aerospace, discover of the target
micro-motion and the measurement of the local fluid velocity. The laser range-Doppler image of target is the pulse laser
scatter feature of the rotating target, which can reflect the shape, attitude and surface material of the target. For instance,
detection of the flight gesture of target, identification of the warhead, the rotation of structures in a target, and the target
torsional state. An analytical model of laser range-Doppler image of cones rotating around their axes is proposed in this
paper. The analytical model can provide the effects of geometric parameters, the roughness of the surface, attitude and
pulse duration on laser range-Doppler image. This analytical model can degenerate into the analytical model of Doppler
spectra for plane waves. The influences of geometry parameters and attitude are analyzed numerically by using the
analytical model. The results indicate that the laser range-Doppler image of cone can show the information about
geometrical shape and attitude of target. Combining the theory and measurements, the analytical model can be used for
identifying physical parameters and geometrical parameters of cone. This analytical solution may contribute to the laser
Doppler velocimetry and ladar applications.