针对无限粗糙表面的反散射直接成像方法
A direct imaging method for inverse scattering by unbounded rough surfaces
AI总结：
本文提出一种直接成像方法，用于从点源产生的近场Cauchy数据中重构无限粗糙表面，适用于穿透和非穿透表面，并通过数值实验验证其快速、准确和抗噪性。
摘要：
本文研究了无限粗糙表面的反散射问题，提出了一种直接成像方法，通过点源产生的近场Cauchy数据重构粗糙表面。对穿透粗糙表面进行了理论分析，但该算法也适用于具有Dirichlet或阻抗边界条件的非穿透表面。数值实验表明，该直接成像算法在数据噪声下具有快速、准确和高度鲁棒性。
英文摘要：
This paper is concerned with the inverse scattering problem by an unbounded rough surface. A direct imaging method is proposed to reconstruct the rough surface from the scattered near-field Cauchy data generating by point sources and measured on a horizontal straight line segment at a finite distance above the rough surface. Theoretical analysis of the imaging algorithm is given for the case of a penetrable rough surface, but the imaging algorithm also works for impenetrable surfaces with Dirichlet or impedance boundary conditions. Numerical experiments are presented to show that the direct imaging algorithm is fast, accurate and very robust with respect to noise in the data.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
