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Manipulation of particles by ultrasonic waves is a primary technique in the fields of precision manufacturing, materials engineering, and in vitro diagnosis, since it can control the motion of objects in the sound field in a contactless and noninvasive manner. In general, the free sound field, such as the focused field and the plane wave generated by a single transducer can only manipulate a single particle. While the complex field generated by a transducer array should be actuated by a complex electric control system, which makes the manipulation device expensive and cumbersome. Thus, modulated acoustic field for particle manipulation is still needed. Here, we experimental realize a one-dimensional acoustic grating to tune sound fields for the parallel pattern of multiple particles. The physical mechanism is that due to the resonance coupling between the periodic diffraction wave on the surface of the acoustic grating and the Fabry-Perot resonant sound field in the acoustic grating slit, a periodical gradient sound field on the surface of the acoustic grating is induced. Then, particles in the periodical gradient sound field can be trapped in two stable positions in one period of the grating. These concepts and realizations of particle patterns in the acoustic grating pave the way for implementing the parallel manipulation of particles in acoustic manipulation technologies.
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Keywords:
- acoustic tweezers /
- acoustic radiation force /
- sound grating /
- particle pattern
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图 1 声栅样品示意图与归一化透射谱, 以及一维声栅归一化声压分布图 (a) 声栅样品示意图; (b) 平面波透过声栅样品的透射谱; (c) 共振频率为39.6 kHz时声场分布图; (d) 非共振频率为38 kHz时声场分布图
Figure 1. Schematic diagram of the grating sample with normalized transmission spectrum, and normalized sound pressure distribution of the 1D grating: (a) Schematic diagram of the grating sample; (b) transmission spectrum of the plane wave through the grating sample; (c) the pressure field at resonant frequency of 39.6 kHz; (d) the pressure field at off resonant frequency of 38 kHz.
图 2 泡沫球位置变化在X方向上从–1.5d到1.5d, 在Z方向上从0.24d到1.2d, 半径约为
$ r = 0.5\; {\text{mm}} $ 的泡沫球在一维声栅上所受归一化声辐射力空间分布图 (a) 黑色三角形箭头表示声辐射力所指方向, 颜色深浅表示声辐射力的大小, 灰色矩形表示一维声栅; (b) X方向上泡沫球位置变化从–0.5d到0.5d的归一化声辐射力Fx (蓝色实线)与Fz (红色实线)曲线图Figure 2. Spatial distribution of the normalized acoustic radiation force on a one-dimensional sound grid for a foam sphere with a radius of about r = 0.5 mm varying from –1.5d to 1.5d in the X-direction and from 0.24d to 1.2d in the Z-direction: (a) The black triangle arrow indicates the direction of the acoustic radiation force, the color shade indicates the size of the acoustic radiation force, and the gray rectangle indicates the one-dimensional acoustic grid; (b) plot of normalized acoustic radiation force Fx (blue solid line) versus Fz (red solid line) for the change in position of the foam sphere from –0.5d to 0.5d in the X-direction.
图 3 声辐射力操控实验平台示意图
Figure 3. Schematic diagram of acoustic radiation force manipulation experimental platform.
图 4 泡沫球操控实验效果图 (a) 超声开启前泡沫球分布图; (b) 超声开启后泡沫球排列图
Figure 4. Experimental effect of foam ball manipulation: (a) Distribution of foam balls before ultrasonic opening; (b) arrangement of foam balls after ultrasonic opening.
表 1 材料声学参数
Table 1. Material acoustic parameters.
密度/(kg·m–3) 纵波波速/(m·s–1) 横波波速/(m·s–1) 空气 1.29 340 — 泡沫球 100 820 550 钢 7760 6010 3320 
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[1] Borgnis F E 1953 Rev. Mod. Phys. 25 653
Google Scholar
[2] Takahi H, Yasutaka H, Akio A, Hideki N, Masahiko K, Naoki I 1993 J. Acoust. Soc. Am. 93 154
Google Scholar
[3] Tatsuki F, Asier M, Bruce W, Thomas L H 2019 Appl. Phys. Lett. 115 064101
Google Scholar
[4] Hirayama R, Martinez P D, Masuda N, Subramanian S 2019 Nature 575 320
Google Scholar
[5] Smalley D E, Nygaard E, Squire K, Van W J, Rasmussen J, Gneiting S, Qaderi K, Goodsell J, Roger W, Lindsey M 2018 Nature 553 486
Google Scholar
[6] Wiklund M, Radel S, Hawkes J J 2013 Lab Chip 13 25
Google Scholar
[7] Gao Y, Harder R, Southworth S H, Guest J R, Huang X J, Yan Z J, Ocola L E, Yifat Y, Sule N, Ho P J 2019 Proc. Natl. Acad. Sci. U. S. A. 116 4018
Google Scholar
[8] Ozcelik A, Rufo J, Guo F, Gu Y Y, Li P, Lata J, Huang T J 2018 Nat. Methods 15 1021
Google Scholar
[9] Li F, Cai F Y, Zhang L K, Liu Z Y, Li F, Meng L, Wu J R, Li J Y, Zhang X F, Zheng H R 2020 Phys. Rev. A 13 044077
Google Scholar
[10] Li F, Cai F Y, Liu Z Y, Meng L, Qian M, Wang C, Cheng Q, Qian M L, Liu X, Wu J R, Li J Y, Zheng H R 2014 Phys. Rev. A 1 051001
Google Scholar
[11] Melde K, Mark A G, Qiu T, Fischer P 2016 Nature 537 518
Google Scholar
[12] Memoli G, Caleap M, Asakawa M, Sahoo D R, Drinkwater B W, Subramanian S 2017 Nat. Commun. 8 14608
Google Scholar
[13] 黄先玉, 蔡飞燕, 李文成, 郑海荣, 何兆剑, 邓科, 赵鹤平 2017 66 044301
Google Scholar
Huang X Y, Cai F Y, Li W C, Zheng H R, He Z J, Deng K, Zhao H P 2017 Acta Phys. Sin. 66 044301
Google Scholar
[14] 冯若, 姚锦钟, 关立勋 1999 超声手册 (南京: 南京大学出版社) 128
Feng R, Yao J Z, Guan L X 1999 Ultrasonics Handbook (Nanjing: Nanjin University Press) 128 (in Chinese)
[15] Sweden S https://cn.comsol.com/ [2022-9-1]
[16] Lu M H, Liu X K, Feng L, Li J, Huang C P, Chen Y F, ZhuY Y, Zhu S, Ming N 2007 Phys. Rev. Lett. 99 174301
Google Scholar
[17] Zhu X F, Liang B, Kan W W, Peng Y G, Cheng J C 2016 Phys. Rev. A 5 054015
Google Scholar
[18] Gor'kov L P 1962 Sov. Phys. Dokl. 6 773
[19] Bruus H 2012 Lab Chip 12 1014
Google Scholar
[20] Xu D, Cai F Y, Chen M, Li F, Wang C, Meng L, Xu D H, Wang W, Wu J R, Zheng H R 2019 Ultrasonics 93 18
Google Scholar
[21] He Z J, Jia H, Qiu C Y, Ye Y T, Hao R, Ke M Z, Liu Z Y 2011 Phys. Rev. B 83 132101
Google Scholar
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