3 citations · 4 across the 6 of their papers we have counts for
7 papers
Microlocal analysis of Radon transforms over quadric surfaces
Gaik Ambartsoumian, Raluca Felea, Venkateswaran P. Krishnan +2
We study the microlocal properties of generalized Radon transforms over a family of quadric hypersurfaces whose centers lie on an orientable hypersurface . The quadric surfaces…
Microlocal analysis of borehole seismic data
Raluca Felea, Romina Gaburro, Allan Greenleaf +1
Borehole seismic data is obtained by receivers located in a well, with sources located on the surface or in another well. Using microlocal analysis, we study possible approximate r…
Microlocal analysis of Doppler Synthetic Aperture Radar
Raluca Felea, Romina Gaburro, Allan Greenleaf +1
We study the existence and suppression of artifacts for a Doppler-based Synthetic Aperture Radar (DSAR) system. The idealized air- or space-borne system transmits a continuous wave…
Singular FIOs in SAR Imaging, II: Transmitter and Receiver at Different Speeds
Gaik Ambartsoumian, Raluca Felea, Clifford J. Nolan +2
In this article, we consider two bistatic cases arising in synthetic aperture radar imaging: when the transmitter and receiver are both moving with different speeds along a single…
Fourier integral operators with open umbrellas and seismic inversion for cusp caustics
Raluca Felea, Allan Greenleaf
In general the composition of Fourier integral operators (FIOs) need not be an FIO. Motivated by the problem of linearized seismic inversion in the presence of cusp caustics for th…
An FIO calculus for marine seismic imaging, II: Sobolev estimates
Raluca Felea, Allan Greenleaf, Malabika Pramanik
We establish sharp -Sobolev estimates for classes of pseudodifferential operators with singular symbols whose non-pseudodifferential (Fourier integral operator) parts exhibit…
An FIO calculus for marine seismic imaging: folds and cross caps
Raluca Felea, Allan Greenleaf
We consider a linearized inverse problem, arising in offshore seismic exploration, for an isotropic wave equation with sound speed assumed to be a small, singular perturbation of a…