Calculation Model of Ultrasonic Field of Angle Probe Using Geometrical Optics Approximation and Rayleigh Integral — Relation to Ermolov and Virtual Transducer Models

Abstract

A calculation model of the ultrasonic field of an angle probe using geometrical optics approximation and Rayleigh integral (GORI) is shown, and the relation of this model to Ermolov one and virtual transducer one is discussed. The GORI model is equivalent to the Ermolov one under certain conditions, and these conditions are made clear. Although several similarities exist between the GORI model and the virtual transducer one, cause of error exists in calculation of directivity using the virtual latter. A simple calculation model of directivity is derived in a far field based on the GORI two-dimensional model.