An optimum design of continuous-wave ultrasonic tomographic technique

Continuous-wave ultrasonic tomography is an imaging technique, which is used to produce an image (in a form of "slices") of the body (as in X-ray tomography). This imaging technique is an application of Doppler effect. Any object consists of scatterers (targets) at different positions. As rotating this object around an axis of rotation (with respect to a stationary ultrasonic beam) with certain speed, the position of each scatterer corresponds to a certain Doppler shift; the scatterers can be imaged at different positions. The final image of each scatterer can be reconstructed from the resulted power spectra (from the rotating object at different positions) by using a theorem called back-projection. This paper introduces the mathematical analysis of this imaging technique, and the main problems of it. New algorithm for reconstructing the images of rotating object is also discussed.