标题： 反散射问题中单频和多频子空间迁移的结构分析 显示英文标题

标题： Structure analysis of single- and multi-frequency subspace migrations in inverse scattering problems

摘要： 在本文献中，我们仔细研究了单频和多频成像函数的结构，这些函数通常用于逆散射问题中。 基于多静态响应（MSR）矩阵奇异向量的模式，我们建立了成像函数与贝塞尔函数之间的关系。 该关系表明了成像函数的一些特性以及多频增强成像性能的原因。 为了支持我们的研究，进行了多个含大量噪声数据的数值模拟。 显示英文摘要

摘要： In this literature, we carefully investigate the structure of single- and multi-frequency imaging functions, that are usually employed in inverse scattering problems. Based on patterns of the singular vectors of the Multi-Static Response (MSR) matrix, we establish a relationship between imaging functions and the Bessel function. This relationship indicates certain properties of imaging functions and the reason behind enhancement in the imaging performance by multiple frequencies. Several numerical simulations with a large amount of noisy data are performed in order to support our investigation.