In the quest for the development of faster and more reliable technologies, the ability to
control the propagation, confinement, and emission of light has become crucial. The design …

This article presents full-spectrum, well-conditioned, Green-function methodologies for
evaluation of scattering by general periodic structures, which remains applicable on a set of …

We develop a non-overlapping domain decomposition method (DDM) for scalar wave
scattering by periodic layered media. Our approach relies on robust boundary-integral …

We present a sweeping preconditioner for quasi-optimal domain decomposition methods
(DD) applied to Helmholtz transmission problems in periodic layered media. Quasi-optimal …

We study the mapping properties of boundary integral operators arising when solving two-
dimensional, time-harmonic waves scattered by periodic domains. For domains assumed to …

This thesis presents novel boundary integral equation (BIE) and associated optimization
methodologies for photonic devices. The simulation and optimization of such structures is a …

This paper introduces a novel boundary integral equation (BIE) method for the numerical
solution of problems of planewave scattering by periodic line arrays of two‐dimensional …

We lay down the preliminary work to apply the Functional Analytic Approach to quasi-
periodic boundary value problems for the Helmholtz equation. This consists in introducing a …

This paper introduces a fast algorithm, applicable throughout the electromagnetic spectrum,
for the numerical solution of problems of scattering by periodic surfaces in two-dimensional …

The scattering of electromagnetic radiation by a layered periodic diffraction grating is an
important model in engineering and the sciences. The numerical simulation of this …