Rough surfaces reconstruction via phase and phaseless data by a multi-frequency homotopy iteration method-Reference-Cited by-同舟云学术

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

Published:2023-06-27 Issue:0 Volume:0 Page:
ISSN:0928-0219
Container-title:Journal of Inverse and Ill-posed Problems
language:en
Short-container-title:

Author:

Liu Shuqin¹,Zhang Lei²^ORCID

Affiliation:

1. School of Mathematical Sciences , Heilongjiang University , Harbin , 150080 P. R. China

2. Department of Mathematics , Zhejiang University of Technology , Hangzhou , 310014 P. R. China

Abstract

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.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Zhejiang Province

Zhejiang University of Technology

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/jiip-2021-0056/pdf

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