基于均衡优化的相控超声聚焦算法

doi:10.13229/j.cnki.jdxbgxb.20250401

摘要/Abstract

摘要：

针对传统相控超声聚焦算法在面对多物理场耦合的复杂环境时聚焦精度和收敛效果差的问题，提出了一种基于主副瓣分离式目标函数、柯西与随机混合粒子初始化和Sigmoid可变生成概率的改进型均衡优化算法，解决了优化时焦域分布不清、初始粒子分布不均、探索效率和收敛性差等问题。仿真结果表明，优化算法相比于原算法收敛速度提高了23%，声压优化效果提升了4.8%，且对比其他主流算法在收敛速度和声压优化效果上均有明显提升。

关键词: 信号与信息处理技术, 相控阵超声聚焦, 均衡优化算法, 目标函数

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

中图分类号:

TP183

李兴广,李洋,宋光强,孟庆东. 基于均衡优化的相控超声聚焦算法[J]. 吉林大学学报(工学版), 2026, 56(10): 2675-2683.

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.

图/表 13

图1

图2

图3

表1

声场环境配置"

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

表1

图4

图5

图6

图7

图8

图9

图10

图11

表2

算法模型优化结果"

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	$9.714$	$3.622$	$22.36$	$5.368$

表2

参考文献 17

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