Publications related to Poisson's equation

Tailoring the field enhancement in Fano-resonant nanoantennas for improved optical bistability

The influence of Fano resonances on the nonlinear response of hybrid plasmonic nanostructures, i.e., nanoantennas loaded with a nonlinear optical material, is theoretically investigated using the combination of a surface integral equation method and an ana ...

2017

Machine learning unifies the modeling of materials and molecules

Michele Ceriotti, Sandip De

Determining the stability ofmolecules and condensed phases is the cornerstone of atomisticmodeling, underpinning our understanding of chemical andmaterials properties and transformations. We show that amachine-learningmodel, based on a local description of ...

Amer Assoc Advancement Science2017

Spectral methods for multiscale stochastic differential equations

Assyr Abdulle, Grigorios A. Pavliotis

This paper presents a new method for the solution of multiscale stochastic differential equations at the diffusive time scale. In contrast to averaging-based methods, e.g., the heterogeneous multiscale method (HMM) or the equation-free method, which rely o ...

2017

Revealing a Mode Interplay That Controls Second-Harmonic Radiation in Gold Nanoantennas

Olivier Martin, Jérémy Butet, Gabriel David Bernasconi, Chen Yan

In this work, we investigate the generation of second- harmonic light by gold nanorods and demonstrate that the collected nonlinear intensity depends upon a phase interplay between di ff erent modes available in the nanostructure. By recording the backward ...

2017

A generalized Poisson and Poisson-Boltzmann solver for electrostatic environments

Nicola Marzari, Oliviero Andreussi

The computational study of chemical reactions in complex, wet environments is critical for applications in many fields. It is often essential to study chemical reactions in the presence of applied electrochemical potentials, taking into account the non-tri ...

Amer Inst Physics2016

MATHICSE Technical Report : Spectral methods for multiscale stochastic differential equations

Assyr Abdulle, Grigorios A. Pavliotis

This paper presents a new method for the solution of multiscale stochastic differential equations at the diffusive time scale. In contrast to averaging-based methods, e.g., the heterogeneous multiscale method (HMM) or the equation-free method, which rely o ...

MATHICSE2016

The impact of the Boussinesq approximation on plasma turbulence in the scrape-off layer

Paolo Ricci, Paola Paruta, Federico David Halpern, Fabio Riva, Christoph Wersal, Baptiste Jimmy Frei, Félix Benedito Clément Musil, Morgan Siffert

Plasma turbulence in the tokamak scrape-off layer (SOL) region, where magnetic field lines are open and intersect the reactor inner walls, determines the heat loads on the limiter or divertor targets. This is one of the most crucial issues on the way towar ...

2016

Mode analysis of second-harmonic generation in plasmonic nanostructures

Olivier Martin, Jérémy Butet, Gabriel David Bernasconi

Using a surface integral equation approach based on the tangential Poggio-Miller-Chang-Harrington-Wu-Tsai formulation, we present a full wave analysis of the resonant modes of 3D plasmonic nanostructures. This method, combined with the evaluation of second ...

Optical Society of America2016

Evaluation of the nonlinear response of plasmonic metasurfaces: Miller's rule, nonlinear effective susceptibility method, and full-wave computation

Olivier Martin, Jérémy Butet

In this article, the second-harmonic generation (SHG) from gold split-ring resonators is investigated using different theoretical methods, namely, Miller's rule, the nonlinear effective susceptibility method, and full-wave computation based on a surface in ...

Optical Soc Amer2016

Evaluation of the nonlinear response of plasmonic metasurfaces: Miller’s rule, nonlinear effective susceptibility method, and full-wave computation

Olivier Martin, Jérémy Butet

In this article, the second-harmonic generation (SHG) from gold split-ring resonators is investigated using different theoretical methods, namely, Miller's rule, the nonlinear effective susceptibility method, and full-wave computation based on a surface in ...

2016

Poisson's equation

Tailoring the field enhancement in Fano-resonant nanoantennas for improved optical bistability

Machine learning unifies the modeling of materials and molecules

Spectral methods for multiscale stochastic differential equations

Revealing a Mode Interplay That Controls Second-Harmonic Radiation in Gold Nanoantennas

A generalized Poisson and Poisson-Boltzmann solver for electrostatic environments

MATHICSE Technical Report : Spectral methods for multiscale stochastic differential equations

The impact of the Boussinesq approximation on plasma turbulence in the scrape-off layer

Mode analysis of second-harmonic generation in plasmonic nanostructures

Evaluation of the nonlinear response of plasmonic metasurfaces: Miller's rule, nonlinear effective susceptibility method, and full-wave computation

Evaluation of the nonlinear response of plasmonic metasurfaces: Miller’s rule, nonlinear effective susceptibility method, and full-wave computation

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A generalized Poisson and Poisson-Boltzmann solver for electrostatic environments

Tailoring the field enhancement in Fano-resonant nanoantennas for improved optical bistability

Mode analysis of second-harmonic generation in plasmonic nanostructures

MATHICSE Technical Report : Spectral methods for multiscale stochastic differential equations

Evaluation of the nonlinear response of plasmonic metasurfaces: Miller's rule, nonlinear effective susceptibility method, and full-wave computation

Evaluation of the nonlinear response of plasmonic metasurfaces: Miller’s rule, nonlinear effective susceptibility method, and full-wave computation

Spectral methods for multiscale stochastic differential equations

Machine learning unifies the modeling of materials and molecules

The impact of the Boussinesq approximation on plasma turbulence in the scrape-off layer

Revealing a Mode Interplay That Controls Second-Harmonic Radiation in Gold Nanoantennas