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Analysis of a fractal ultrasonic transducer with a range of piezoelectric length scales

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Figure

Fig. 1. The first few generations of the Sierpinski gasket (white triangles). The black triangles (the complement of the Sierpinskigasket) consist of piezoelectric material
Fig. 2. The first few generations of the weighted Sierpinski gasket graph SG.
Fig. 5. Illustration of the identity E(p)Ωno
Fig. 7. Non-dimensionalized electrical impedance (equation (3.14)) versus frequency for the SG transducer at fractal generationlevel n = 3 (dashed line)
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