11 citations · 24 across the 7 of their papers we have counts for
8 papers
Reconstruction of a Local Perturbation in Inhomogeneous Periodic Layers from Partial Near Field Measurements
Alexander Konschin, Armin Lechleiter
We consider the inverse scattering problem to reconstruct a local perturbation of a given inhomogeneous periodic layer in , , using near field measurements of…
Reconstruction of Local Perturbations in Periodic Surfaces
Armin Lechleiter, Ruming Zhang
This paper concerns the inverse scattering problem to reconstruct a local perturbation in a periodic structure. Unlike the periodic problems, the periodicity for the scattered fiel…
Reconstruction of a Time-dependent Potential from Wave Measurements
Thies Gerken, Armin Lechleiter
We add a time-dependent potential to the inhomogeneous wave equation and consider the task of reconstructing this potential from measurements of the wave field. This dynamic invers…
A Floquet-Bloch transform based numerical method for scattering from locally perturbed periodic surfaces
Armin Lechleiter, Ruming Zhang
Scattering problems for periodic structures have been studied a lot in the past few years. A main idea for numerical solution methods is to reduce such problems to one periodicity…
On the determination of sets supporting unknown sources for the wave equation from radiated fields
Armin Lechleiter
Given near or far field wave measurements generated by some unknown time- and space-dependent acoustic source, we seek to rapidly determine a domain in space-time, as small as poss…
A Convergent Numerical Scheme for Scattering of Aperiodic Waves from Periodic Surfaces Based on the Floquet-Bloch Transform
Armin Lechleiter, Ruming Zhang
Periodic surface structures are nowadays standard building blocks of optical devices. If such structures are illuminated by aperiodic time-harmonic incident waves as, e.g., Gaussia…