33 citations · 69 across the 13 of their papers we have counts for
7 papers · 1 filter
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…
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…
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…
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…
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…
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…
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…