An inverse problem for Maxwell's equations with Lipschitz parameters. (17th January 2018)

• Record Type: Journal Article
• Authors: Pichler, Monika
• Is Part Of: Inverse problems. Volume 34:Number 2(2018:Feb.)
• Publication Date: 2018-01-17
• Subjects: Maxwell's equations -- inverse boundary value problem -- uniqueness -- Lipschitz parameters; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/aaa352
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: We consider an inverse boundary value problem for Maxwell's equations, which aims to recover the electromagnetic material properties of a body from measurements on the boundary. We show that a Lipschitz continuous conductivity, electric permittivity, and magnetic permeability are uniquely determined by knowledge of all tangential electric and magnetic fields on the boundary of the body at a fixed frequency.