On global uniqueness for an IBVP for the time-harmonic Maxwell equations
Pedro Caro, Ting Zhou
TL;DR
This paper proves the uniqueness of solutions for an inverse boundary value problem in electrodynamics, assuming smooth electromagnetic properties of the medium, which is crucial for accurate inverse problem solutions.
Contribution
It establishes a new uniqueness result for an IBVP in electrodynamics with smoothly varying electromagnetic properties.
Findings
Proves uniqueness for the IBVP under smoothness assumptions.
Provides theoretical foundation for inverse problems in electrodynamics.
Enhances understanding of boundary measurements in electromagnetic media.
Abstract
In this paper we prove uniqueness for an inverse boundary value problem (IBVP) arising in electrodynamics. We assume that the electromagnetic properties of the medium, namely the magnetic permeability, the electric permittivity and the conductivity, are described by continuously differentiable functions.
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