Piezoelectric ultrasonic transducers with fractal geometry

Mathematics

• Piezoelectric 91%
• Fractal Geometry 90%
• Transducer 83%
• Length Scale 43%
• Ultrasonic Wave 21%
• Composite Structures 17%
• Resonator 16%
• Heterogeneous Media 15%
• Theoretical Model 14%
• Range of data 14%
• Impedance 13%
• Renormalization 13%
• Bandwidth 12%
• Predict 10%
• Propagation 10%
• Fractal 10%
• Composite 10%
• Performance 6%

Engineering & Materials Science

• Ultrasonic transducers 100%
• Piezoelectric transducers 93%
• Fractals 73%
• Geometry 42%
• Ultrasonic waves 14%
• Composite structures 12%
• Resonators 11%
• Acoustic impedance 8%
• Bandwidth 7%
• Composite materials 6%