120 citations · 143 across the 12 of their papers we have counts for
14 papers
Quantitative synthetic aperture radar inversion
Liliana Borcea, Josselin Garnier, Alexander V. Mamonov +1
We study an inverse scattering problem for monostatic synthetic aperture radar (SAR): Estimate the wave speed in a heterogeneous, isotropic and nonmagnetic medium probed by waves e…
Reduced Order Modeling for First Order Hyperbolic Systems with Application to Multiparameter Acoustic Waveform Inversion
Liliana Borcea, Josselin Garnier, Alexander V. Mamonov +1
Waveform inversion seeks to estimate an inaccessible heterogeneous medium from data gathered by sensors that emit probing signals and measure the generated waves. It is an inverse…
Electromagnetic inverse wave scattering in anisotropic media via reduced order modeling
Liliana Borcea, Yiyang Liu, Jörn Zimmerling
The inverse wave scattering problem seeks to estimate a heterogeneous, inaccessible medium, modeled by unknown variable coefficients in wave equations, from transient recordings of…
Solving inverse scattering problems via reduced-order model embedding procedures
Jörn Zimmerling, Vladimir Druskin, Murthy Guddati +2
We present a reduced-order model (ROM) methodology for inverse scattering problems in which the reduced-order models are data-driven, i.e. they are constructed directly from data g…
When data driven reduced order modeling meets full waveform inversion
Liliana Borcea, Josselin Garnier, Alexander V. Mamonov +1
Waveform inversion is concerned with estimating a heterogeneous medium, modeled by variable coefficients of wave equations, using sources that emit probing signals and receivers th…
Velocity estimation via model order reduction
Alexander V. Mamonov, Liliana Borcea, Josselin Garnier +1
A novel approach to full waveform inversion (FWI), based on a data driven reduced order model (ROM) of the wave equation operator is introduced. The unknown medium is probed with p…
Waveform inversion with a data driven estimate of the internal wave
Liliana Borcea, Josselin Garnier, Alexander V. Mamonov +1
We study an inverse problem for the wave equation, concerned with estimating the wave speed, aka velocity, from data gathered by an array of sources and receivers that emit probing…
Waveform inversion via reduced order modeling
Liliana Borcea, Josselin Garnier, Alexander V. Mamonov +1
We introduce a novel approach to waveform inversion, based on a data driven reduced order model (ROM) of the wave operator. The presentation is for the acoustic wave equation, but…
Reduced order model approach for imaging with waves
Liliana Borcea, Josselin Garnier, Alexander V. Mamonov +1
We introduce a novel, computationally inexpensive approach for imaging with an active array of sensors, which probe an unknown medium with a pulse and measure the resulting waves.…
A reduced order model approach to inverse scattering in lossy layered media
Liliana Borcea, Vladimir Druskin, Jörn Zimmerling
We introduce a reduced order model (ROM) methodology for inverse electromagnetic wave scattering in layered lossy media, using data gathered by an antenna which generates a probing…
Modal Analysis of photonic and plasmonic resonators
Jörn Zimmerling, Rob Remis
Quasi-normal modes (QNMs) are ubiquitous throughout photonics and are utilized in a wide variety of applications, but determining these modes remains a formidable task in general.…
Reduced Order Model Approach to Inverse Scattering
Liliana Borcea, Vladimir Druskin, Alexander V. Mamonov +2
We study an inverse scattering problem for a generic hyperbolic system of equations with an unknown coefficient called the reflectivity. The solution of the system models waves (so…
Quasinormal mode solvers for resonators with dispersive materials
P. Lalanne, W. Yan, A. Gras +16
Optical resonators are widely used in modern photonics. Their spectral response and temporal dynamics are fundamentally driven by their natural resonances, the so-called quasinorma…
Compressing Large-Scale Wave Propagation Models via Phase-Preconditioned Rational Krylov Subspaces
Vladimir Druskin, Rob Remis, Mikhail Zaslavsky +1
Rational Krylov subspace (RKS) techniques are well-established and powerful tools for projection-based model reduction of time-invariant dynamic systems. For hyperbolic wavefield p…