基于均衡优化的相控超声聚焦算法

doi:10.13229/j.cnki.jdxbgxb.20250401

Abstract

Abstract:

To tackle the issues of inadequate focusing accuracy and poor convergence performance exhibited by traditional phased-array ultrasonic focusing algorithms in complex environments with multi-physics coupling， this paper introduces an improved Equilibrium Optimizer algorithm. The proposed method incorporates a main-sidelobe-separated objective function， a hybrid particle initialization strategy based on Cauchy distribution and random sampling， and a Sigmoid-based variable generation probability mechanism. These enhancements effectively address problems such as ambiguous focal field distribution， non-uniform initial particle dispersion， and insufficient exploration-exploitation balance. Simulation results demonstrate that， compared with the original EO， the proposed algorithm achieves a 23% increase in convergence speed and a 4.8% improvement in acoustic pressure optimization. Moreover， it exhibits significant advantages over other mainstream algorithms in both convergence efficiency and acoustic pressure optimization performance.

Key words: signal and information processing technology, phased array ultrasound focusing, equilibrium optimizer algorithm, objective function

CLC Number:

TP183

Xing-guang LI,Yang LI,Guang-qiang SONG,Qing-dong MENG. Phased array ultrasound focusing algorithm based on equilibrium optimization[J].Journal of Jilin University(Engineering and Technology Edition), 2026, 56(10): 2675-2683.

Figures/Tables 13

Fig.1

Fig.2

Fig.3

Table 1

Sound field environment configuration"

参数	符号	数值
激发频率/MHz	f	1
时间步基数	T0	1/f
基础声速/（m·s^-1）	c	1 510
网格尺寸	hmax	Lmd/2
仿真时间/s	Tmax	$1.035 ? e - 5$
延时	$t 1 ~ t 6$	待优化

Table 1

Fig.4

Fig.5

Fig.6

Fig.7

Fig.8

Fig.9

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Table 2

Algorithmic model optimization results"

算法	五阵元相控阵		七阵元相控阵
算法	绝对声压/GPa	声压峰值/MPa	绝对声压/GPa	声压峰值/MPa
改进型EO	$9.787$	$3.713$	$22.38$	$5.395$
EO	$9.714$	$3.448$	$22.17$	$5.147$
BiEO	$9.629$	$3.331$	$21.64$	$5.037$
CSO	$9.646$	$3.347$	$22.09$	$5.122$
PSO	$9.714$	$3.622$	$22.36$	$5.368$

Table 2

References 17

[1]	Kisslo J, VonRamm O T, Thurstone F L. Cardiac imaging using a phased array ultrasound system. II. Clinical technique and application[J]. Circulation, 1976, 53(2): 262-267.
[2]	Tang J, Liu G, Pan Q T. A review on representative swarm intelligence algorithms for solving optimization problems: applications and trends[J]. IEEE/CAA Journal of Automatica Sinica, 2021, 8(10): 1627-1643.
[3]	Zhang X M, Lin Q Y. Information-utilization strengthened equilibrium optimizer[J]. Artificial Intelligence Review, 2022,55: 4241-4274.
[4]	Faramarzi A, Mirjalili S, Heidarinejad M. Binary equilibrium optimizer: theory and application in building optimal control problems[J]. Energy and Buildings, 2022, 277: 112503.
[5]	Gupta S, Deep K, Mirjalili S. An efficient equilibrium optimizer with mutation strategy for numerical optimization[J]. Applied Soft Computing, 2020, 96: 106542.
[6]	Wang J B, Yang B, Li D Y, et al. Photovoltaic cell parameter estimation based on improved equilibrium optimizer algorithm[J]. Energy Conversion and Management, 2021, 236: 114051.
[7]	Varzaneh Z A, Hossein S, Mood S E, et al. A new hybrid feature selection based on Improved Equilibrium Optimization[J]. Chemometrics and Intelligent Laboratory Systems, 2022, 228: 104618.
[8]	Eberhart R, Kennedy J. Particle swarm optimization[C]∥Proceedings of the IEEE international conference on neural networks, Perth WA, Australia,1995: 1942-1948.
[9]	Chu S C, Tsai P W, Pan J S. Cat swarm optimization[C]∥Pacific Rim International Conference on Artificial Intelligence, Berlin, Heidelberg, 2006: 854-858.
[10]	陈建, 于帆, 林琳, 等. 基于多阵列合成孔径的局部超声阵列聚焦方法[J]. 吉林大学学报:工学版, 2022, 52(10): 2447-2455.
	Chen Jian, Yu Fan, Lin Lin,et al. Local ultrasound array focusing method based on multiarray synthetic aperture[J]. Journal of Jilin University(Engineering and Technology Edition), 2022, 52(10): 2447-2455.
[11]	西继东, 朱阁彦, 李新波, 等. 基于 MVDR 波束形成算法的风速风向测量方法[J]. 吉林大学学报: 信息科学版, 2018, 36(3): 289-292.
	Xi Ji-dong, Zhu Ge-yan, Li Xin-bo,et al. Wind direction and wind direction measurement method based on MVDR beam-forming algorithm[J]. Journal of Jilin University(Information Science Edition), 2018, 36(3): 289-292.
[12]	宋昀光, 孙晓东, 范尊强, 等. 超声悬浮轴承系统振幅衰减自抗扰控制[J]. 吉林大学学报: 信息科学版, 2015, 33(1): 26-32.
	Song Yun-guang, Sun Xiao-dong, Fan Zun-qiang, et al. Active disturbance rejection control for amplitude decay of ultrasonic levitation bearing systems[J]. Journal of Jilin University(Information Science Edition), 2015, 33(1): 26-32.
[13]	Kim S, Jo Y, Kook G, et al. Transcranial focused ultrasound stimulation with high spatial resolution[J]. Brain Stimulation, 2021, 14(2): 290-300.
[14]	Faramarzi A, Heidarinejad M, Stephens B, et al. Equilibrium optimizer: a novel optimization algorithm[J]. Knowledge-based Systems, 2020, 191: 105190.
[15]	Thompson D M, Hoffman K S. Equilibrium pool dimensions and sediment-sorting patterns in coarse-grained, New England channels[J]. Geomorphology, 2001, 38(3/4): 301-316.
[16]	赵孟雪, 车翔玖, 徐欢, 等. 基于先验知识优化的医学图像候选区域生成方法[J]. 吉林大学学报: 工学版, 2025, 55(2): 722-730.
	Zhao Meng-xue, Che Xiang-jiu, Xu Huan,et al. A method for generating proposals of medical image based on prior knowledge optimization[J]. Journal of Jilin University(Engineering and Technology Edition), 2025, 55(2): 722-730.
[17]	Bajer D, Martinović G, Brest J. A population initialization method for evolutionary algorithms based on clustering and Cauchy deviates[J]. Expert Systems with Applications, 2016, 60: 294-310.

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