基于多频同伦迭代法的有相和无相粗糙表面重构

IF 0.9 4区数学 Q2 MATHEMATICS

Journal of Inverse and Ill-Posed Problems Pub Date : 2023-06-27 DOI:10.1515/jiip-2021-0056

Shuqin Liu, Lei Zhang

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引用次数: 0

摘要

本文研究了多频相位和无相位测量粗糙表面的逆散射问题。我们提出了一种基于同源迭代技术的高阶递归迭代方法来重建粗糙表面。在一定的条件下，得到了多频同宗迭代法的收敛性。数值实验表明了该算法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Rough surfaces reconstruction via phase and phaseless data by a multi-frequency homotopy iteration method

Abstract This paper is concerned with the inverse scattering of the rough surfaces with multi-frequency phase and phaseless measurements. We present a high-order recursive iteration method based on the homotopy iteration technique to reconstruct the rough surfaces. The convergence for the multi-frequency homotopy iteration method is obtained under some conditions. Some numerical experiments show the effectiveness of the proposed algorithm.

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来源期刊

Journal of Inverse and Ill-Posed Problems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.60

自引率

9.10%

发文量

审稿时长

>12 weeks

期刊介绍： This journal aims to present original articles on the theory, numerics and applications of inverse and ill-posed problems. These inverse and ill-posed problems arise in mathematical physics and mathematical analysis, geophysics, acoustics, electrodynamics, tomography, medicine, ecology, financial mathematics etc. Articles on the construction and justification of new numerical algorithms of inverse problem solutions are also published. Issues of the Journal of Inverse and Ill-Posed Problems contain high quality papers which have an innovative approach and topical interest. The following topics are covered: Inverse problems existence and uniqueness theorems stability estimates optimization and identification problems numerical methods Ill-posed problems regularization theory operator equations integral geometry Applications inverse problems in geophysics, electrodynamics and acoustics inverse problems in ecology inverse and ill-posed problems in medicine mathematical problems of tomography