Inverse Electromagnetic Scattering by a Penetrable Chiral Object  

作　　者：Sotiria Dimitroula Paraskevi Roupa Spyridon C. Athanasiadis Georgios Halikias Sotiria Dimitroula;Paraskevi Roupa;Spyridon C. Athanasiadis;Georgios Halikias(Department of Mathematics, National and Kapodistrian University of Athens, Athens, Greece;Department of Informatics and Telecommunications, National and Kapodistrian University of Athens, Athens, Greece;School of Electrical and Computer Engineering, National and Technical University of Athens, Athens, Greece)

机构地区：[1]Department of Mathematics, National and Kapodistrian University of Athens, Athens, Greece [2]Department of Informatics and Telecommunications, National and Kapodistrian University of Athens, Athens, Greece [3]School of Electrical and Computer Engineering, National and Technical University of Athens, Athens, Greece

出　　处：《Journal of Applied Mathematics and Physics》2024年第9期3081-3098,共18页应用数学与应用物理（英文）

摘　　要：We consider the inverse electromagnetic scattering problem of determining the shape of a perfectly conducting core inside a penetrable chiral body. We prove the well-posedness of the corresponding direct scattering problem by the variational method. We focus on a uniqueness result for the inverse scattering problem that is under what conditions an obstacle can be identified by the knowledge of the electric far-field pattern corresponding to all time-harmonic incident planes waves with a fixed wave number. To this end, we establish a chiral mixed reciprocity relation that connects the electric far-field pattern of a spherical wave with the scattered field of a plane wave.We consider the inverse electromagnetic scattering problem of determining the shape of a perfectly conducting core inside a penetrable chiral body. We prove the well-posedness of the corresponding direct scattering problem by the variational method. We focus on a uniqueness result for the inverse scattering problem that is under what conditions an obstacle can be identified by the knowledge of the electric far-field pattern corresponding to all time-harmonic incident planes waves with a fixed wave number. To this end, we establish a chiral mixed reciprocity relation that connects the electric far-field pattern of a spherical wave with the scattered field of a plane wave.

关 键 词：Chiral Media Inverse Scattering Problem Chiral Mixed Reciprocity Relation 

分 类 号：O17[理学—数学]