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Abstract

The spatial resolution of conventional waves is restricted by the diffraction limit of half wavelength. Hence, how to construct super-resolution acoustic beams with a smaller focal radius is one of the major challenges in recent studies. In the present paper, the super-resolution acoustic focusing method is proposed based on the superposition of multi-frequency super-oscillation beams and the Particle Swarm Optimization (PSO), which can improve the spatial resolution concurrently with good controllability. Based on the diffraction effect of traditional ultrasound fields, the acoustic lens of Fresnel zone plane (FZP) at the center frequency is designed by the half-wave zone method. Multiple acoustic beams at several preset frequencies within the transducer bandwidth are sent out to build the super-oscillation focal area by the pressure superposition. The radius of the super-resolution focal spot constructed by the PSO algorithm with optimized amplitudes and phases is less than the half wavelength at the center frequency, which is even smaller than the focal radius at the highest frequency. Furthermore, the focal radius is also proved to decrease with the increase of the number of multiple frequencies and the center frequency. The favorable results demonstrate the feasibility of super-resolution acoustic focusing based on the PSO of super-oscillation, and provide an applicable strategy for the high-resolution acoustic imaging and manipulation.

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Authors and contacts

Corresponding author:Ma Qing-Yu,maqingyu@njnu.edu.cn

Funds:Project supported by the National Natural Science Foundation of China (Grant Nos. 11934009, 11974187, 12174198).

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References

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Cited By

DownLoad: Full-Size Img PowerPoint

频率	菲涅耳透镜的焦距
f/MHz	50 mm	40 mm	30 mm
0.6	$\rm 2.68{e^{ - j0.958}} $	$\rm 2.86{e^{j0.834}} $	$\rm 9.38{e^{j{\text{0.396}}}} $
0.7	$\rm 2.48{e^{ - j2.122}} $	$\rm 1.25{e^{ - j1.45}} $	$\rm 9.13{e^{j{\text{0.706}}}} $
0.8	$\rm 5.26{e^{ - j2.646}} $	$\rm 1.93{e^{j1.470}} $	$\rm 4.91{e^{j{\text{0.274}}}} $
0.9	$\rm 6.34{e^{j1.448}} $	$\rm3.54{e^{j0.020}} $	$\rm7.49{e^{j1.366}} $
1.0	$\rm 5.25{e^{ - j2.652}} $	$\rm 3.27{e^{ - j0.685}} $	$\rm 8.52{e^{ - j{\text{0.465}}}} $
1.1	$\rm 1.95{e^{ - j0.082}} $	$\rm2.10{e^{ - j1.221}} $	$\rm5.89{e^{j{\text{0.879}}}} $
1.2	$\rm 4.11{e^{j0.725}} $	$\rm 1.59{e^{ - j1.905}} $	$\rm 0.57{e^{j{\text{0.493}}}} $
1.3	$\rm 4.82{e^{j2.031}} $	$\rm 2.43{e^{j1.160}} $	$\rm 4.16{e^{j{\text{0.684}}}} $
1.4	$\rm 5.34{e^{ - j2.808}} $	$\rm 1.67{e^{j1.022}} $	$\rm 6.56{e^{ - j{\text{0.299}}}} $

DownLoad: CSV

频率		菲涅耳透镜焦距
f/MHz	50 mm		40 mm		30 mm
f/MHz	r/$ \lambda $	F/mm	r/$ \lambda $	F/mm	r/$ \lambda $	F/mm
0.6	0.91	22.6	0.87	19.5	0.82	12.2
0.7	0.82	28.7	0.79	21.4	0.75	16.9
0.8	0.73	33.9	0.56	22.5	0.69	20.8
0.9	0.72	41.3	0.67	33.2	0.58	24.1
1.0	0.71	50.0	0.65	40.0	0.58	30.0
1.1	0.68	56.9	0.63	46.8	0.56	35.8
1.2	0.67	65.2	0.63	53.3	0.55	41.3
1.3	0.65	72.6	0.60	59.6	0.51	50.5
1.4	0.65	78.9	0.58	65.9	0.50	55.9
超振荡	0.49	49.5	0.47	40.0	0.44	30.0

DownLoad: CSV

菲涅耳透镜焦距		焦平面内的最小焦域半径
F/mm		r/ λ
20		0.40
30		0.44
40		0.47
50		0.49
60		0.51
70		0.54

DownLoad: CSV

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Vol. 71, Issue 20 - 2022-10-20

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