Ultrasound harmonic scattered by fluid spheres

The computerized tomography imaging is based on diffraction theory for continuous wave. It requires knowledge of the acoustic field scattered by an object immersed in a fluid. This paper analyzes the ultrasound harmonic scattering by a sphere surrounded by a compressible fluid medium. The KZK equation is considered for describing the fields' propagation before and after scattering. The scatters are homogenous spheres of some liquids media. We, hence, study the effect of the scatter's radius and the fluid nature into the scatter on the fundamental and second harmonic beam patterns. Diffracted harmonics are narrower than the fundamental and the beam widths are growing as the sphere's diameter decreases showing the diffraction effect. We described a numerical code able to simulate the scattered ultrasound harmonic from an object immersed. The proposed approach may have promising applications in ultrasonic characterization and tomography harmonic imaging.