23 citations · 74 across the 38 of their papers we have counts for
9 papers · 1 filter
Surface concentration of transmission eigenfunctions
Yat Tin Chow, Youjun Deng, Hongyu Liu +1
The transmission eigenvalue problem is a type of non-elliptic and non-selfadjoint spectral problem that arises in the wave scattering theory when invisibility/transparency occurs.…
Quantum integrable systems and concentration of plasmon resonance
Habib Ammari, Yat Tin Chow, Hongyu Liu +1
We are concerned with the quantitative mathematical understanding of surface plasmon resonance (SPR) when . SPR is the resonant oscillation of conducting electrons at the…
On the zeroth law of turbulence for the stochastically forced Navier-Stokes equations
Yat Tin Chow, Ali Pakzad
We consider three-dimensional stochastically forced Navier-Stokes equations subjected to white-in-time (colored-in-space) forcing in the absence of boundaries. Upper and lower boun…
Quantum ergodicity and localization of plasmon resonances
Habib Ammari, Yat Tin Chow, Hongyu Liu
We are concerned with the geometric properties of the surface plasmon resonance (SPR). SPR is a non-radiative electromagnetic surface wave that propagates in a direction parallel t…
Surface-localized transmission eigenstates, super-resolution imaging and pseudo surface plasmon modes
Yat Tin Chow, Youjun Deng, Youzi He +2
We present the discovery of a novel and intriguing global geometric structure of the (interior) transmission eigenfunctions associated with the Helmholtz system. It is shown in gen…
Localized sensitivity analysis at high-curvature boundary points of reconstructing inclusions in transmission problems
Habib Ammari, Yat Tin Chow, Hongyu Liu
In this paper, we are concerned with the recovery of the geometric shapes of inhomogeneous inclusions from the associated far field data in electrostatics and acoustic scattering.…
A partial Laplacian as an infinitesimal generator on the Wasserstein space
Yat Tin Chow, Wilfrid Gangbo
We study stochastic processes on the Wasserstein space, together with their infinitesimal generators. One of these processes is modeled after Brownian motion and plays a central ro…
Unique determination of the index of refraction from phase-less near-field data in two dimensions
Yat Tin Chow, Fadil Santosa, Gunther Uhlmann
Motivated by non-destructive testing of optical fiber, we consider the problem of determining the index of refraction of a two-dimensional medium from magnitude of the total field…
The Concept of Heterogeneous Scattering Coefficients and Its Application in Inverse Medium Scattering
Habib Ammari, Yat Tin Chow, Jun Zou
This work investigates the scattering coefficients for inverse medium scattering problems. It shows some fundamental properties of the coefficients such as symmetry and tensorial p…