Integrated optical effect of finite beams of ultrasound reflected from planar‐liquid solid interfaces
1980
In studying the reflection of finite beams ultrasound reflected from planar liquid‐solid interforces, many investigators have used optical techniques, namely the Schlieren, to demonstrate certain novel features. Of importance is the beam displacement that occurs when the waves generated in solid are near their critical angles. We have previously reported a procedure for calculating the integrated optic effect of a finite beam and the resulting Schlieren pattern. Now we present the results of incorporating the angle dependent reflection coefficient into these calculations. We find that the optical problem is “exact” in two dimensions and is virtually the same as the other two‐dimensional theories commonly used to calculate beam displacements. With the numerical procedure, it is possible to include a variety of transducer geometries, i.e., circular, square, or Gaussian, etc., in the modeling, and the answers can be calculated in both the nearfield and farfield of the transducer.
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