Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Chung, Francis J"'
Autor:
Chung, Francis J.
We consider an inverse problem for a radiative transport equation (RTE) in which boundary sources and measurements are restricted to a single subset $E$ of the boundary of the domain $\Omega$. We show that this problem can be solved globally if the r
Externí odkaz:
http://arxiv.org/abs/2001.11460
Acousto-optic imaging (AOI) is a hybrid imaging process. By perturbing the to-be-reconstructed tissues with acoustic waves, one introduces the interaction between the acoustic and optical waves, leading to a more stable reconstruction of the optical
Externí odkaz:
http://arxiv.org/abs/2001.07858
In a medium where the dielectric permittivity is perturbed in the presence of an acoustic wave, optical scattering generates frequency-shifted light. In this paper we consider the inverse problem of recovering the optical properties of this medium fr
Externí odkaz:
http://arxiv.org/abs/1910.04798
There are several hybrid inverse problems for equations of the form $\nabla \cdot D \nabla u - \sigma u = 0$ in which we want to obtain the coefficients $D$ and $\sigma$ on a domain $\Omega$ when the solutions $u$ are known. One approach is to use tw
Externí odkaz:
http://arxiv.org/abs/1910.04809
Autor:
Chung, Francis J., Tzou, Leo
We construct an explicit Green's function for the conjugated Laplacian $e^{-\omega \cdot x/h}\Delta e^{-\omega \cdot x/h}$, which let us control our solutions on roughly half of the boundary. We apply the Green's function to solve a partial data inve
Externí odkaz:
http://arxiv.org/abs/1610.01715
Autor:
Chung, Francis J, Schotland, John C
We consider the inverse problem of recovering the optical properties of a highly-scattering medium from acousto-optic measurements. Using such measurements, we show that the scattering and absorption coefficients of the radiative transport equation c
Externí odkaz:
http://arxiv.org/abs/1609.08118
We present an algorithm for solving inverse problems on graphs analogous to those arising in diffuse optical tomography for continuous media. In particular, we formulate and analyze a discrete version of the inverse Born series, proving estimates cha
Externí odkaz:
http://arxiv.org/abs/1609.03041
We propose a method to reconstruct the density of an optical source in a highly scattering medium from ultrasound-modulated optical measurements. Our approach is based on the solution to a hybrid inverse source problem for the radiative transport equ
Externí odkaz:
http://arxiv.org/abs/1506.06348
In this article we consider an inverse boundary value problem for the time-harmonic Maxwell equations. We show that the electromagnetic material parameters are determined by boundary measurements where part of the boundary data is measured on a possi
Externí odkaz:
http://arxiv.org/abs/1502.01618
Autor:
Chung, Francis J.
We show that an electric potential and magnetic field can be uniquely determined by partial boundary measurements of the Neumann-to-Dirichlet map of the associated magnetic Schr\"{o}dinger operator. This improves upon previous results of the author b
Externí odkaz:
http://arxiv.org/abs/1402.4445