Numerical methods for nanophotonics: standard problems and future challenges
Nanoscale photonic systems involve a broad variety of light–matter interaction regimes
beyond the diffraction limit and have opened the path for a variety of application …
beyond the diffraction limit and have opened the path for a variety of application …
Lattice sums for the Helmholtz equation
CM Linton - SIAM review, 2010 - SIAM
A survey of different representations for lattice sums for the Helmholtz equation is made.
These sums arise naturally when dealing with wave scattering by periodic structures. One of …
These sums arise naturally when dealing with wave scattering by periodic structures. One of …
Midinfrared plasmonic valleytronics in metagate-tuned graphene
A valley plasmonic crystal for graphene surface plasmons is proposed. We demonstrate that
a designer metagate, placed within a few nanometers of graphene, can be used to impose a …
a designer metagate, placed within a few nanometers of graphene, can be used to impose a …
Accurate and versatile modeling of electromagnetic scattering on periodic nanostructures with a surface integral approach
B Gallinet, AM Kern, OJF Martin - JOSA A, 2010 - opg.optica.org
A surface integral formulation for light scattering on periodic structures is presented. Electric
and magnetic field equations are derived on the scatterers' surfaces in the unit cell with …
and magnetic field equations are derived on the scatterers' surfaces in the unit cell with …
Nanoparticle lattices with bases: Fourier modal method and dipole approximation
The utilization of periodic structures such as photonic crystals and metasurfaces is common
for light manipulation at nanoscales. One of the most widely used computational approaches …
for light manipulation at nanoscales. One of the most widely used computational approaches …
Fourier modal method for the description of nanoparticle lattices in the dipole approximation
Rigorous coupled-wave analysis (RCWA) is a very effective tool for studying optical
properties of multilayered vertically invariant periodic structures. However, it fails to deal with …
properties of multilayered vertically invariant periodic structures. However, it fails to deal with …
Second-harmonic generation from periodic arrays of arbitrary shape plasmonic nanostructures: a surface integral approach
A surface integral formulation for the second-harmonic generation (SHG) from periodic
metallic–dielectric nanostructures is described. This method requires the discretization of the …
metallic–dielectric nanostructures is described. This method requires the discretization of the …
A full-wave generalized PEEC model for periodic metallic structure with arbitrary shape
In this work, a full-wave partial element equivalent circuit (PEEC) model for 2-D periodic
metallic structures is proposed. The mixed potential integral equations (MPIEs) with periodic …
metallic structures is proposed. The mixed potential integral equations (MPIEs) with periodic …
Regularization of mixed-potential layered-media Green's functions for efficient interpolation procedures in planar periodic structures
The problem of improving the computational efficiency in the numerical analysis of planar
periodic structures is investigated here using the mixed-potential integral-equation (MPIE) …
periodic structures is investigated here using the mixed-potential integral-equation (MPIE) …
An integral equation method using periodic contact-region modeling for analyzing infinitely biperiodic composite structures
YJ Zou, XW Zhao, C Guo, MD Zhu… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Based on the method of moments (MoM) using Rao–Wilton–Glisson (RWG) basis functions,
a new MoM approach to analyze infinitely biperiodic structures is proposed. In this …
a new MoM approach to analyze infinitely biperiodic structures is proposed. In this …