9 citations · 34 across the 12 of their papers we have counts for
14 papers
Ultrasound Modulated Bioluminescence Tomography With A Single Optical Measurement
Francis Chung, Tianyu Yang, Yang Yang
Ultrasound modulated bioluminescence tomography (UMBLT) is an imaging method which can be formulated as a hybrid inverse source problem. In the regime where light propagation is mo…
Inverse Radiative Transport with Local Data
Francis J. Chung
We consider an inverse problem for a radiative transport equation (RTE) in which boundary sources and measurements are restricted to a single subset of the boundary of the doma…
On diffusive scaling in acousto-optic imaging
Francis J. Chung, Ru-Yu Lai, Qin Li
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…
A Transport Model for Multi-Frequency Acousto-Optic Tomography
Francis J. Chung, Jeremy G. Hoskins, John C. Schotland
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…
A Note on the Transport Method for Hybrid Inverse Problems
Francis J. Chung, Jeremy G. Hoskins, John C. Schotland
There are several hybrid inverse problems for equations of the form in which we want to obtain the coefficients and on a domain when…
The Carleman estimate and a partial data inverse problem
Francis J. Chung, Leo Tzou
We construct an explicit Green's function for the conjugated Laplacian , which let us control our solutions on roughly half of the boundary. We app…
Inverse Transport and Acousto-Optic Imaging
Francis J Chung, John C Schotland
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 scatte…
Optical tomography on graphs
Francis J. Chung, Anna C. Gilbert, Jeremy G. Hoskins +1
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 analyz…
Ultrasound modulated bioluminescence tomography and controllability of the radiative transport equation
Guillaume Bal, Francis J. Chung, John C. Schotland
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 solut…
Partial Data Inverse Problems for Maxwell Equations via Carleman Estimates
Francis J. Chung, Petri Ola, Mikko Salo +1
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 bounda…
Partial Data for the Neumann-Dirichlet Magnetic Schrödinger Inverse Problem
Francis J. Chung
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 Schrödi…
Partial data inverse problems for the Hodge Laplacian
Francis J. Chung, Mikko Salo, Leo Tzou
We prove uniqueness results for a Calderon type inverse problem for the Hodge Laplacian acting on graded forms on certain manifolds in three dimensions. In particular, we show that…
Partial Data for the Neumann-to-Dirichlet Map
Francis J. Chung
We show that measurements of the Neumann-to-Dirichlet map, roughly speaking, on a certain part of the boundary of a smooth domain in dimension 3 or higher, for inputs with support…
A Partial Data Result for the Magnetic Schrodinger Inverse Problem
Francis J. Chung
This article shows that knowledge of the Dirichlet-Neumann map on certain subsets of the boundary for input functions supported roughly on the rest of the boundary can be used to d…