18 citations · 81 across the 23 of their papers we have counts for
23 papers
On the potential lack of response in a model of second-harmonic generation. A computer-assisted proof
Miguel Ayala, Dominic Blanco, Fioralba Cakoni +2
This paper provides a rigorous computer-assisted proof of the existence of generalized transmission eigenvalues arising in nonlinear optics in the context of high-order harmonic ge…
Limiting Absorption Principle and Radiation Condition for the Fractional Helmholtz Equation
Dana Zilberberg, Fioralba Cakoni, Michael S. Vogelius
We investigate elliptic fractional equations in the whole space, involving zero order perturbations of the fractional Laplacian , . Our main objective is to determin…
Transmission Eigenvalues and Non-scattering
Fioralba Cakoni, Michael S. Vogelius
In this paper we survey some recent results concerning scattering and non-scattering in the context of the linear Helmholtz equation and inhomogeneities of nontrivial contrast. We…
Asymptotic expansions for the transmission eigenvalues of periodic scatterers of bounded support
Fioralba Cakoni, Shari Moskow
We consider the transmission eigenvalues for a bounded scatterer with a periodically varying index of refraction, and derive the first order corrections to the limiting transmissio…
Target Signatures for Anisotropic Screens in Electromagnetic Scattering
Fioralba Cakoni, Peter Monk
Anisotropic thin sheets of materials possess intriguing properties because of their ability to modify the phase, amplitude and polarization of incident waves. Such sheets are usual…
On the recovery of two function-valued coefficients in the Helmholtz equation for inverse scattering problems via inverse Born series
Fioralba Cakoni, Shixu Meng, Zehui Zhou
In this work, we construct the Born and inverse Born approximation and series to recover two function-valued coefficients in the Helmholtz equation for inverse scattering problems…