Pulling force of acoustic-vortex beams on centered elastic spheres based on the annular transducer model

doi:10.1088/1674-1056/ab8210

中国物理B ›› 2020, Vol. 29 ›› Issue (5): 54302-054302.doi: 10.1088/1674-1056/ab8210

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Pulling force of acoustic-vortex beams on centered elastic spheres based on the annular transducer model

Yuzhi Li(李禹志), Qingdong Wang(王青东), Gepu Guo(郭各朴), Hongyan Chu(褚红燕), Qingyu Ma(马青玉), Juan Tu(屠娟), Dong Zhang(章东)

1 School of Physics and Technology, Nanjing Normal University, Nanjing 210023, China;
2 College of Ocean Science and Engineering, Shandong University of Science and Technology, Qingdao 266590, China;
3 Institute of Acoustics, Nanjing University, Nanjing 210093, China

收稿日期:2020-02-03 修回日期:2020-02-21 出版日期:2020-05-05 发布日期:2020-05-05
通讯作者: Qingyu Ma E-mail:maqingyu@njnu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11934009, 11974187, and 11604156).

Pulling force of acoustic-vortex beams on centered elastic spheres based on the annular transducer model

Yuzhi Li(李禹志)¹, Qingdong Wang(王青东)², Gepu Guo(郭各朴)¹, Hongyan Chu(褚红燕)¹, Qingyu Ma(马青玉)¹, Juan Tu(屠娟)³, Dong Zhang(章东)³

1 School of Physics and Technology, Nanjing Normal University, Nanjing 210023, China;
2 College of Ocean Science and Engineering, Shandong University of Science and Technology, Qingdao 266590, China;
3 Institute of Acoustics, Nanjing University, Nanjing 210093, China

Received:2020-02-03 Revised:2020-02-21 Online:2020-05-05 Published:2020-05-05
Contact: Qingyu Ma E-mail:maqingyu@njnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11934009, 11974187, and 11604156).

摘要/Abstract

摘要： To solve the difficulty of generating an ideal Bessel beam, an simplified annular transducer model is proposed to study the axial acoustic radiation force (ARF) and the corresponding negative ARF (pulling force) exerted on centered elastic spheres for acoustic-vortex (AV) beams of arbitrary orders. Based on the theory of acoustic scattering, the axial distributions of the velocity potential and the ARF for AV beams of different orders generated by the annular transducers with different physical sizes are simulated. It is proved that the pulling force can be generated by AV beams of arbitrary orders with multiple axial regions. The pulling force is more likely to exert on the sphere with a smaller k₀a (product of the wave number and the radius) for the AV beam with a bigger topological charge due to the strengthened off-axis acoustic scattering. The pulling force decreases with the increase of the axial distance for the sphere with a bigger k₀a. More pulling force areas with wider axial regions can be formed by AV beams using a bigger-sized annular transducer. The theoretical results demonstrate the feasibility of generating the pulling force along the axes of AV beams using the experimentally applicable circular array of planar transducers, and suggest application potentials for multi-position stable object manipulations in biomedical engineering.

关键词: acoustic radiation force, pulling force, acoustic-vortex beams, annular transducer model, acoustic scattering

Abstract: To solve the difficulty of generating an ideal Bessel beam, an simplified annular transducer model is proposed to study the axial acoustic radiation force (ARF) and the corresponding negative ARF (pulling force) exerted on centered elastic spheres for acoustic-vortex (AV) beams of arbitrary orders. Based on the theory of acoustic scattering, the axial distributions of the velocity potential and the ARF for AV beams of different orders generated by the annular transducers with different physical sizes are simulated. It is proved that the pulling force can be generated by AV beams of arbitrary orders with multiple axial regions. The pulling force is more likely to exert on the sphere with a smaller k₀a (product of the wave number and the radius) for the AV beam with a bigger topological charge due to the strengthened off-axis acoustic scattering. The pulling force decreases with the increase of the axial distance for the sphere with a bigger k₀a. More pulling force areas with wider axial regions can be formed by AV beams using a bigger-sized annular transducer. The theoretical results demonstrate the feasibility of generating the pulling force along the axes of AV beams using the experimentally applicable circular array of planar transducers, and suggest application potentials for multi-position stable object manipulations in biomedical engineering.

Key words: acoustic radiation force, pulling force, acoustic-vortex beams, annular transducer model, acoustic scattering

中图分类号: (Radiation pressure?)

43.25.Qp

43.60.Fg (Acoustic array systems and processing, beam-forming) 43.38.Hz (Transducer arrays, acoustic interaction effects in arrays)

李禹志, 王青东, 郭各朴, 褚红燕, 马青玉, 屠娟, 章东. Pulling force of acoustic-vortex beams on centered elastic spheres based on the annular transducer model[J]. 中国物理B, 2020, 29(5): 54302-054302.

Yuzhi Li(李禹志), Qingdong Wang(王青东), Gepu Guo(郭各朴), Hongyan Chu(褚红燕), Qingyu Ma(马青玉), Juan Tu(屠娟), Dong Zhang(章东). Pulling force of acoustic-vortex beams on centered elastic spheres based on the annular transducer model[J]. Chin. Phys. B, 2020, 29(5): 54302-054302.

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Pulling force of acoustic-vortex beams on centered elastic spheres based on the annular transducer model

Pulling force of acoustic-vortex beams on centered elastic spheres based on the annular transducer model

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