activity
20122026
most citedMonotonicity in inverse medium scattering on unbounded domains

33 citations · 69 across the 13 of their papers we have counts for

collaborators

13 papers

math.NA2026

Domain derivative and shape reconstruction for an inverse backscattering problem for the wave equation

Roland Griesmaier, Marvin Knöller, Eliane Kummer

We consider an inverse backscattering problem for time-dependent acoustic waves with a compactly supported penetrable scattering obstacle in unbounded three-dimensional free space.…

math.OC2026

Optimal Design of Tubular Perfectly Conducting Objects in Electromagnetic Chirality

Tilo Arens, Roland Griesmaier, Marvin Knöller +1

This work is about the shape optimization of long tubular objects in electromagnetic chirality (em-chirality). Em-chirality is a property of individual scattering objects or metama…

math.AP2026

Localizing acoustic and electromagnetic waves in space and time

Roland Griesmaier, Soumen Senapati

We study time-dependent acoustic and electromagnetic waves governed by the scalar wave equation or Maxwell's equations in a bounded three-dimensional domain. We establish the exist…

math.NA2026

Monotonicity-based regularization of inverse medium scattering for shape reconstruction

Roland Griesmaier, Bastian Harrach, Jianli Xiang

We consider the scattering of time-harmonic plane waves by a compactly supported inhomogeneous scattering obstacle governed by the Helmholtz equation. Given far field observations…

math.OC2022★ 3 cited

Maximizing the electromagnetic chirality of thin metallic nanowires at optical frequencies

Ivan Fernandez-Corbaton, Roland Griesmaier, Marvin Knöller +1

Electromagnetic waves impinging on three-dimensional helical metallic metamaterials have been shown to exhibit chiral effects of large magnitude both theoretically and in experimen…

math.AP2022★ 1 cited

Inverse medium scattering for a nonlinear Helmholtz equation

Roland Griesmaier, Marvin Knöller, Rainer Mandel

We discuss a time-harmonic inverse scattering problem for a nonlinear Helmholtz equation with compactly supported inhomogeneous scattering objects that are described by a nonlinear…

math.NA2022★ 3 cited

The factorization method and Capon's method for random source identification in experimental aeroacoustics

Roland Griesmaier, Hans-Georg Raumer

Experimental aeroacoustics is concerned with the estimation of acoustic source power distributions, which are for instance caused by fluid structure interactions on scaled aircraft…

math.AP2020★ 7 cited

An asymptotic representation formula for scattering by thin tubular structures and an application in inverse scattering

Yves Capdeboscq, Roland Griesmaier, Marvin Knöller

We consider the scattering of time-harmonic electromagnetic waves by a penetrable thin tubular scattering object in three-dimensional free space. We establish an asymptotic represe…

math.AP2018★ 33 cited

Monotonicity in inverse medium scattering on unbounded domains

Roland Griesmaier, Bastian Harrach

We discuss a time-harmonic inverse scattering problem for the Helmholtz equation with compactly supported penetrable and possibly inhomogeneous scattering objects in an unbounded h…

math.AP2016

Uncertainty principles for inverse source problems, far field splitting and data completion

Roland Griesmaier, John Sylvester

Starting with far field data of time-harmonic acoustic or electromagnetic waves radiated by a collection of compactly supported sources in two-dimensional free space, we develop cr…

math.NA2016★ 22 cited

A multifrequency MUSIC algorithm for locating small inhomogeneities in inverse scattering

Roland Griesmaier, Christian Schmiedecke

We consider an inverse scattering problem for time-harmonic acoustic or electromagnetic waves. The goal is to localize several small penetrable objects embedded inside an otherwise…

math.AP2014

Polarization tensors of planar domains as functions of the admittivity contrast

Roland Griesmaier, Martin Hanke

(Electric) polarization tensors describe part of the leading order term of asymptotic voltage perturbations caused by low volume fraction inhomogeneities of the electrical properti…

math.AP2012

A note on analyticity properties of far field patterns

Roland Griesmaier, Nuutti Hyvönen, Otto Seiskari

In scattering theory the far field pattern describes the directional dependence of a time-harmonic wave scattered by an obstacle or inhomogeneous medium, when observed sufficiently…