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数学学院、所2024年系列学术活动(第043场):张磊教授 浙江工业大学

发表于: 2024-05-11   点击: 

报告题目:The scattering problem of electromagnetic waves in chiral media

报 告 人:张磊教授 浙江工业大学

报告时间:2024年5月13日 9:00-10:00

报告地点:#腾讯会议:237-495-069

校内联系人:张德悦 dyzhang@jlu.edu.cn


报告摘要:Chirality has played a critical role in studying optical activity, multiferroics, and superfluidity. This talk concerns a scattering problem with obliquely incident electromagnetic waves in a chiral medium. The left-circular polarization and right-circular polarization are used, and the model problem is reduced to a coupled boundary value problem of the Helmholtz equations. The potential operators are investigated to establish coupled boundary integral equations. The operators' properties are obtained in Sobolev spaces by splitting techniques to overcome the singularity of integral operators. Then we prove the existence and uniqueness results for the integral equations and develop an efficient and accurate method to solve the coupled system. Numerical experiments are presented to demonstrate the effectiveness and robustness of the proposed methods.


报告人简介:张磊,现任浙江工业大学数学系教授,博士生导师。 研究方向是数学物理反问题,目前关注复杂介质散射和复合反散射的数学理论及计算方法。先后主持包括国家自然科学基金面上项目、浙江省自然科学基金重点项目等多项科研项目。在IP,SIIMS,JDE,JCP 等期刊上发表学术论文30余篇,曾获第八届(2016)全国反问题年会“优秀青年学术奖”,获黑龙江省数学会第三届(2020)优秀青年学术奖。