| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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Phase Relation of Harmonics in Nonlinear Focused Ultrasound |
| Zhe-Fan Peng1, Wei-Jun Lin1**, Shi-Lei Liu2, Chang Su1, Hai-Lan Zhang1, Xiu-Ming Wang1 |
1State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190
2Key Laboratory of Modern Acoustics, Department of Physics, Collaborative Innovation Center of Advanced Microstructure, Nanjing University, Nanjing 210093
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| Cite this article: |
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Zhe-Fan Peng, Wei-Jun Lin, Shi-Lei Liu et al 2016 Chin. Phys. Lett. 33 084301 |
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Abstract The phase relation of harmonics in high-intensity focused ultrasound is investigated numerically and experimentally. The nonlinear Westervelt equation is solved to model nonlinear focused sound field by using the finite difference time domain method. Experimental waveforms are measured by a robust needle hydrophone. Then the relative phase quantity is introduced and obtained by using the zero-phase filter. The results show that the $n$th harmonic relative phase quantity is approximately $(n-1)\pi/3$ at geometric center and increases along the axial direction. Moreover, the relative phase quantity decreases with the increase of source amplitude. This phase relation gives an explanation of some nonlinear phenomena such as the discrepancy of positive and negative pressure.
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Received: 12 April 2016
Published: 31 August 2016
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