Abstract: 

A new sampling method for inverse scattering problems is proposed to process far field data of one incident wave. As a sampling method, it sets up ill-posed integral equations and uses the solutions to reconstruct the unknown target. But in contrast to the classical linear sampling method, the method has the ability to process limited aperture data. We consider this method in both inverse acoustic problems and inverse elastic problems. Theoretical analysis and numerical examples show that the method can effectively determine the location and approximate the support with little a priori information of the unknown target.

个人简介

刘娟  暨南大学数学系副教授，2010年毕业于吉林大学数学研究所计算数学专业，获理学博士学位，2017-2018学年美国密歇根理工大学访问学者。研究领域为数学物理反问题，主要方向为波动反散射问题的理论分析和数值计算。已在“Inverse Problems”, "Journal of computational and applied mathematics"等国际期刊发表多篇学术论文。曾获得2016年广东省计算数学优秀青年论文二等奖和2014年暨南大学本科教学校长奖。已主持完成国家自然科学基金天元基金项目一项，目前主持国家自然科学基金青年基金项目及广东省自然科学基金项目各一项。