Model Equation for Acoustic Nonlinear Measurement of Dispersive Specimens at High Frequency
ZHANG Dong1, KUSHIBIKI Junichi2, ZOU Wei3
1Laboratory of Modern Acoustics, Institute of Acoustics, Nanjing University, Nanjing 210093
2Department of Electrical Engineering, Tohoku University, Sendai 980-8579, Japan
3System and Technology Group, IBM Corporation, NY 12533, USA
Model Equation for Acoustic Nonlinear Measurement of Dispersive Specimens at High Frequency
ZHANG Dong1;KUSHIBIKI Junichi2;ZOU Wei3
1Laboratory of Modern Acoustics, Institute of Acoustics, Nanjing University, Nanjing 210093
2Department of Electrical Engineering, Tohoku University, Sendai 980-8579, Japan
3System and Technology Group, IBM Corporation, NY 12533, USA
Abstract： We present a theoretical model for acoustic nonlinearity measurement of dispersive specimens at high frequency. The nonlinear Khokhlov--Zabolotskaya--Kuznetsov (KZK) equation governs the nonlinear propagation in the SiO2/specimen/SiO2 multi-layer medium. The dispersion effect is considered in a special manner by introducing the frequency-dependant sound velocity in the KZK equation. Simple analytic solutions are derived by applying the superposition technique of Gaussian beams. The solutions are used to correct the diffraction and dispersion effects in the measurement of acoustic nonlinearity of cottonseed oil in the frequency range of 33--96MHz. Regarding two different ultrasonic devices, the accuracies of the easurements are improved to ±2.0% and ±1.3% in comparison with ±9.8% and ±2.9% obtained from the previous plane wave model.
ZHANG Dong;KUSHIBIKI Junichi;ZOU Wei. Model Equation for Acoustic Nonlinear Measurement of Dispersive Specimens at High Frequency[J]. 中国物理快报, 2006, 23(10): 2807-2811.
ZHANG Dong, KUSHIBIKI Junichi, ZOU Wei. Model Equation for Acoustic Nonlinear Measurement of Dispersive Specimens at High Frequency. Chin. Phys. Lett., 2006, 23(10): 2807-2811.
2006, Vol. 23 
