广西科技大学学报2025，Vol.36Issue(6)：1-8,8.DOI:10.16375/j.cnki.cn45-1395/t.2025.06.001
一维逆源问题的矩量法及其激励频率优化
Method of moments for one-dimensional inverse source problems and optimization of excitation frequency
摘要
Abstract
In view of the non-uniqueness of the one-dimensional inverse source problem,the source intensity function in the target region was discretized,and then the sound pressure of the detection boundary was measured under multi-frequency excitation.The measured sound pressure was reconstructed by the one-dimensional moment method.Among them,a key factor affecting the stability of reconstruction is the selection of excitation frequency.In order to solve this problem,the optimization methods of equal spacing excitation frequency and unequally spaced excitation frequency based on genetic algorithm were proposed.Finally,a simulation example was given to verify the effectiveness of different optimization methods in the reconstruction of source strength function.The results show that the optimized unequal spacing excitation frequency is better than the equal spacing optimization excitation frequency in terms of reconstruction accuracy and numerical stability,which provides a viable approach for the excitation frequency selection in multi-frequency inverse source problems.关键词
多频逆源/矩量法/激励频率优化/遗传算法/稳定性Key words
multi-frequency inverse source/method of moments/excitation frequency optimization/genetic algorithm/stability分类
通用工业技术引用本文复制引用
田永胜,向宇..一维逆源问题的矩量法及其激励频率优化[J].广西科技大学学报,2025,36(6):1-8,8.基金项目
国家自然科学基金项目(51775121)资助 （51775121）
