Inverse problems for Maxwell's equations in a slab with partial boundary data

TL;DR

This paper proves that electromagnetic material parameters can be uniquely identified from partial boundary measurements in a slab for time-harmonic Maxwell equations, advancing inverse problem theory.

Contribution

It establishes uniqueness results for inverse boundary value problems with partial data in an infinite slab setting for Maxwell's equations.

Findings

Unique determination of conductivity, permittivity, and permeability from partial boundary data.

Results hold for measurements on subsets of one or different boundary hyperplanes.

Advances inverse problem understanding in unbounded geometries.

Abstract

We consider two inverse boundary value problems for the time-harmonic Maxwell equations in an infinite slab. Assuming that tangential boundary data for the electric and magnetic fields at a fixed frequency is available either on subsets of one boundary hyperplane, or on subsets of different boundary hyperplanes, we show that the electromagnetic material parameters, the conductivity, electric permittivity, and magnetic permeability, are uniquely determined by these partial measurements.