Faculty Advisor

Makarov, Sergey N.

Faculty Advisor

Ryder, Elizabeth F.


In this study, we develop some steps of a ray tracing method for shock wave modeling in a lithotripter. Every individual ray undergoes refraction when crossing a triangulated boundary between two adjacent tissues with different impedances. The transmission angle is uniquely defined for 2-manifold tissue objects. Within every tissue, a nonlinear distortion of a shock pulse is taken into account using a simplified quasi-planar approach. The viscous damping is neglected due to the lack of material data. Instead, we apply the Voronoi partition in every transversal plane in order to find the wave amplitude and intensity at a particular point. Some preliminary simulation results are reported related to a shift of a focal point in the focal plane and the effect of body size on the focal pressure.


Worcester Polytechnic Institute

Date Accepted

April 2016


Bioinformatics and Computational Biology

Project Type

Major Qualifying Project



Advisor Department

Electrical and Computer Engineering

Advisor Department

Biology and Biotechnology