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Study of nonlinear acoustic field of high intensity focused ultrasound by the fractional wave

Sun Jian-Ming Yu Jie Guo Xia-Sheng Zhang Dong

Study of nonlinear acoustic field of high intensity focused ultrasound by the fractional wave

Sun Jian-Ming, Yu Jie, Guo Xia-Sheng, Zhang Dong
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  • Abstract views:  1290
  • PDF Downloads:  738
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Publishing process
  • Received Date:  24 September 2012
  • Accepted Date:  26 October 2012
  • Published Online:  05 March 2013

Study of nonlinear acoustic field of high intensity focused ultrasound by the fractional wave

  • 1. Institute of Acoustics, Key Laboratory of Modern Acoustics (Nanjing University), Ministry of Education, Nanjing 210093, China;
  • 2. The Traditional Chinese Medicine Hospital of Jiangsu Province, Nanjing 210029, China
Fund Project:  Projects supported by the National Basic Research Program of China (Grant No. 2011CB707900), the National Natural Science Foundation of China (Grant Nos. 81127901, 10974093, 11174141, 11104140), the Natural Science Foundation of Jiangsu Province (Grant Nos. BE2011110, BK2011543), and State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences.

Abstract: The acoustic energy distribution of high intensity focused ultrasound (HIFU) is influenced by the attenuation and the dispersion of the biological tissue. In this paper we modify the KZK equation according to the fractional wave equation, in order to accurately describe the sound field of HIFU. The theoretical and experimental studies of frequency dependences of attenuation and sound speed examine the validity of the fractional wave equation. Furthermore, the numerical simulation of HIFU field is performed using the modified KZK equation. The results demonstrate that the introduction of the fractional derivative equation could solve the problems of the attenuation and sound dispersion, leading to the accuracy improvement of HIFU therapy.

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