Simulation of Ultrasonic Continuous Wave Fields in Homogeneous Media with Soft Curved Interfaces

This work presents an acoustic field simulation method derived from the Green’s functions based monochromatic solutions of the wave equation in homogeneous media. Following this approach, for a given emitting aperture and for an arbitrary set of target points, it is possible to define a spatial monochromatic transfer matrix (MTM). The amplitude and phase of the acoustic field at the target points are computed by multiplying this matrix by the excitation vector formed by a spatial sampling of the acoustic field on the aperture. Interfaces are considered as secondary sources from which the incident wave is re-emitted. This way, it is possible modelling reflection, transmission and changes of vibration modes at interfaces.