Abstract
The presence of surface roughness often degrades the performance of the ultrasound sensor. Here, Green’s theorem is applied to analytically model the field reflected off the vibrating ground in the presence of surface roughness for a pair of ultrasound transducers. In the presence of surface roughness, the total field measured by the sensor is the sum of the reflected wave from the vibrating ground and that scattered off the roughness elements. The scattered field from the rough surface randomizes the phase of the received field. The performance of the sensor is examined as a function of the area of ground insonified, angle of incidence and frequency of the transducer, measurement time, correlation lengths, and amplitude of surface roughness.
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