162 citations · 509 across the 21 of their papers we have counts for
23 papers
A wearable electrical hemodynamic imaging ring
Gia-Bao Ha, Lucas Takanori Sanchez Shiromizu, Jaehyeon Song +12
Continuous ambulatory monitoring of peripheral vascular perfusion could enable earlier detection of vascular dysfunction in individuals with diabetes mellitus and more timely manag…
Design and control of quasiperiodic patterns of particles with standing acoustic waves
Elena Cherkaev, Fernando Guevara Vasquez, China Mauck
We develop a method to design tunable quasiperiodic structures of particles suspended in a fluid by controlling standing acoustic waves. One application of our results is to ultras…
A potential theory on weighted graphs
Trent DeGiovanni, Fernando Guevara Vasquez
We present an analog to classic potential theory on weighted graphs. With nodes partitioned into exterior, boundary and interior nodes and an appropriate decomposition of the Lapla…
Imaging with thermal noise induced currents
Trent DeGiovanni, Fernando Guevara Vasquez, China Mauck
We use thermal noise induced currents to image the real and imaginary parts of the conductivity of a body. Covariances of the thermal noise currents measured at a few electrodes ar…
Active exterior cloaking for the 2D Helmholtz equation with complex wavenumbers and application to thermal cloaking
Maxence Cassier, Trent DeGiovanni, Sébastien Guenneau +1
We design sources for the two-dimensional Helmholtz equation that can cloak an object by cancelling out the incident field in a region, without the sources completely surrounding t…
Broadband lightweight flat lenses for longwave-infrared imaging
Monjurul Meem, Sourangsu Banerji, Apratim Majumder +3
We experimentally demonstrate imaging in the longwave-infrared (LWIR) spectral band (8um to 12um) using a single polymer flat lens based upon multi-level diffractive optics. The de…
Imaging with flat optics: metalenses or diffractive lenses?
Sourangsu Banerji, Monjurul Meem, Berardi Sensale-Rodriguez +1
Recently, there has been an explosion of interest in metalenses for imaging. The interest is primarily based on their sub-wavelength thicknesses. Diffractive lenses have been used…
Matrix valued inverse problems on graphs with application to elastodynamic networks
Fernando Guevara Vasquez, Travis G. Draper, Justin Cheuk-Lum Tse +2
We consider the inverse problem of finding matrix valued edge or nodal quantities in a graph from measurements made at a few boundary nodes. This is a generalization of the problem…
Approximation by Herglotz wave functions
Fernando Guevara Vasquez, China Mauck
We consider the problem of approximating a function using Herglotz wave functions, which are a superposition of plane waves. When the discrepancy is measured in a ball, we show tha…
Imaging polarizable dipoles
Maxence Cassier, Fernando Guevara Vasquez
We present a method for imaging the polarization vector of an electric dipole distribution in a homogeneous medium from measurements of the electric field made at a passive array.…
A discrete Liouville identity for numerical reconstruction of Schrödinger potentials
Liliana Borcea, Fernando Guevara Vasquez, Alexander V. Mamonov
We propose a discrete approach for solving an inverse problem for Schrödinger's equation in two dimensions, where the unknown potential is to be determined from boundary measuremen…
Kirchhoff migration without phases
Patrick Bardsley, Fernando Guevara Vasquez
We present a simple, frequency domain, preprocessing step to Kirchhoff migration that allows the method to image scatterers when the wave field phase information is lost at the rec…
On the solvability of the discrete conductivity and Schrödinger inverse problems
Justin Boyer, Jack J. Garzella, Fernando Guevara Vasquez
We study the uniqueness question for two inverse problems on graphs. Both problems consist in finding (possibly complex) edge or nodal based quantities from boundary measurements o…
Imaging with power controlled source pairs
Patrick Bardsley, Fernando Guevara Vasquez
Scatterers in a homogeneous medium are imaged by probing the medium with two point sources of waves modulated by correlated signals and by measuring only intensities at one single…
Restarted inverse Born series for the Schrödinger problem with discrete internal measurements
Patrick Bardsley, Fernando Guevara Vasquez
Convergence and stability results for the inverse Born series [Moskow and Schotland, Inverse Problems, 24:065005, 2008] are generalized to mappings between Banach spaces. We show t…
Characterization and Synthesis of Rayleigh Damped Elastodynamic Networks
Alessandro Gondolo, Fernando Guevara Vasquez
We consider damped elastodynamic networks where the damping matrix is assumed to be a non-negative linear combination of the stiffness and mass matrices (also known as Rayleigh or…
Pseudospectra of Isospectrally Reduced Matrices and Systems
Fernando Guevara Vasquez, Benjamin Z. Webb
The isospectral reduction of matrix, which is closely related to its Schur complement, allows to reduce the size of a matrix while maintaining its eigenvalues up to a known set. He…
Mathematical analysis of the two dimensional active exterior cloaking in the quasistatic regime
Fernando Guevara Vasquez, Graeme W. Milton, Daniel Onofrei
We design a device that generates fields canceling out a known probing field inside a region to be cloaked while generating very small fields far away from the device. The fields w…
Resistor network approaches to electrical impedance tomography
Liliana Borcea, Vladimir Druskin, Fernando Guevara Vasquez +1
We review a resistor network approach to the numerical solution of the inverse problem of electrical impedance tomography (EIT). The networks arise in the context of finite volume…
Transformation elastodynamics and active exterior acoustic cloaking
Fernando Guevara Vasquez, Graeme W. Milton, Daniel Onofrei +1
This chapter consists of three parts. In the first part we recall the elastodynamic equations under coordinate transformations. The idea is to use coordinate transformations to man…
Study of noise effects in electrical impedance tomography with resistor networks
Liliana Borcea, Fernando Guevara Vasquez, Alexander V. Mamonov
We present a study of the numerical solution of the two dimensional electrical impedance tomography problem, with noisy measurements of the Dirichlet to Neumann map. The inversion…
Broadband Exterior Cloaking
Fernando Guevara Vasquez, Graeme W. Milton, Daniel Onofrei
It is shown how a recently proposed method of cloaking is effective over a broad range of frequencies. The method is based on three or more active devices. The devices, while not r…
Active Exterior Cloaking
Fernando Guevara Vasquez, Graeme W. Milton, Daniel Onofrei
A new method of cloaking is presented. For two-dimensional quasistatics it is proven how a single active exterior cloaking device can be used to shield an object from surrounding f…