Kevin G. Brown

Publications7
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Citations28
Highly Influential Citations0
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The Time-Harmonic Discontinuous Galerkin Method as a Robust Forward Solver for Microwave Imaging Applications
Novel microwave imaging systems require flexible forward solvers capable of incorporating arbitrary boundary conditions and inhomogeneous background constitutive parameters. In this work we focus on…
Hybridizable Discontinuous Galerkin Method Contrast Source Inversion of 2-D and 3-D Dielectric and Magnetic Targets
We present a microwave imaging algorithm capable of simultaneously reconstructing electric and magnetic targets from both electric and magnetic field measurement data, with support for arbitrary…
Phaseless Parametric Inversion for System Calibration and Obtaining Prior Information
TLDR
A work flow is introduced where a simple physical model can be used as both a calibration data set as well as the prior information about the grain target in a full-data (magnitude and phase) inversion.
Phantom Study of a Flat-Faceted Air-Based Microwave Breast Imaging System
A Simple Approach to Modifying the Contrast Basis in Contrast Source Inversion
A per-iteration processing technique is applied to the Contrast Source Inversion algorithm to project a standard element-based contrast recovery step onto an alternative set of basis functions. For…
A mixed Discontinuous Galerkin formulation for time-harmonic scattering problems
The time-harmonic Discontinuous Galerkin Method (DGM) is a flexible forward solver for inverse scattering problems in electromagnetics. Standard DGM discretizations of Maxwell's curl equations,…
Experimental 3D Microwave Imaging of Magnetic Targets using Discontinuous Galerkin Contrast Source Inversion and a Two-Stage Reconstruction Technique
TLDR
DGM-CSI, a fast and robust imaging algorithm supporting the use of inhomogeneous backgrounds with high-order expansions over coarse meshes, has been successfully used to reconstruct synthetic targets with pathologically high values of magnetic permeability in the past but has not hitherto been subjected to rigorous testing on realistic models of MNP-laden breast tumours or used on experimental 3D data.