Zobrazeno 1 - 10
of 34
pro vyhledávání: '"PALACIOS, BENJAMIN"'
This paper introduces a new pseudodifferential preconditioner for the Helmholtz equation in variable media with absorption. The pseudodifferential operator is associated with the multiplicative inverse to the symbol of the Helmholtz operator. This ap
Externí odkaz:
http://arxiv.org/abs/2409.16172
To strike a balance between modeling accuracy and computational efficiency for simulations of ultrasound waves in soft tissues, we derive a pseudodifferential factorization of the wave operator with fractional attenuation. This factorization allows u
Externí odkaz:
http://arxiv.org/abs/2312.09080
Autor:
Bal, Guillaume, Palacios, Benjamin
This paper concerns the reconstruction of properties of narrow laser beams propagating in turbulent atmospheres. We consider the setting of off-axis measurements, based on light detection away from the main path of the beam. We first model light prop
Externí odkaz:
http://arxiv.org/abs/2109.14023
Autor:
Palacios, Benjamin
The attenuation of ultrasound waves in photoacoustic and thermoacoustic imaging presents an important drawback in the applicability of these modalities. This issue has been addressed previously in the applied and theoretical literature, and some adva
Externí odkaz:
http://arxiv.org/abs/2101.08615
This second version of the manuscript includes, in the appendices, an erratum that points out an error on the published version and offers alternative results for the Lipschitz stability analysis of the backward heat propagation problem and its appli
Externí odkaz:
http://arxiv.org/abs/2012.02002
Autor:
Bal, Guillaume, Palacios, Benjamin
We consider the modeling of light beams propagating in highly forward-peaked turbulent media by fractional Fokker-Planck equations and their approximations by fractional Fermi pencil-beam models. We obtain an error estimate in a 1-Wasserstein distanc
Externí odkaz:
http://arxiv.org/abs/2012.01906
Autor:
Bal, Guillaume, Palacios, Benjamin
Solutions of stationary Fokker-Planck equations in the narrow beam regime are commonly approximated by either ballistic linear transport or by a Fermi pencil-beam equation. We present a rigorous approximation analysis of these three models in a half-
Externí odkaz:
http://arxiv.org/abs/1910.12150
Autor:
Cueva, Evelyn, Courdurier, Matias, Osses, Axel, Castañeda, Victor, Palacios, Benjamin, Härtel, Steffen
We study an inverse problem for Light Sheet Fluorescence Microscopy (LSFM), where the density of fluorescent molecules needs to be reconstructed. Our first step is to present a mathematical model to describe the measurements obtained by an optic came
Externí odkaz:
http://arxiv.org/abs/1909.04174
In X-ray CT scan with metallic objects, it is known that direct application of the filtered back-projection (FBP) formula leads to streaking artifacts in the reconstruction. These are characterized mathematically in terms of wave front sets in [13].
Externí odkaz:
http://arxiv.org/abs/1712.01974
Autor:
Acosta, Sebastian, Palacios, Benjamin
In this article we study the inverse problem of thermoacoustic tomography (TAT) on a medium with attenuation represented by a time- convolution (or memory) term, and whose consideration is motivated by the modeling of ultrasound waves in heterogeneou
Externí odkaz:
http://arxiv.org/abs/1703.09271