Concept

Integral equation

Related publications (141)

MATHICSE Technical Report : An isogeometric boundary element method for electromagnetic scattering with compatible B-spline discretizations

We outline the construction of compatible B-splines on 3D surfaces that satisfy the continuity requirements for electromagnetic scatter- ing analysis with the boundary element method (method of moments). Our approach makes use of Non-Uniform Rational B-spl ...

MATHICSE2017

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

Olivier Martin, Jérémy Butet

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

Null Controllability and Finite Time Stabilization for the Heat Equations with Variable Coefficients in Space in One Dimension via Backstepping Approach

Hoài-Minh Nguyên

Using the backstepping approach we recover the null controllability for the heat equations with variable coefficients in space in one dimension and prove that these equations can be stabilized in finite time by means of periodic time-varying feedback laws. ...

Springer Verlag2017

Optical second harmonic generation from nanostructured graphene: a full wave approach

Olivier Martin, Jérémy Butet, Gabriel David Bernasconi, Raziman Thottungal Valapu, Bruno Majérus

Optical second harmonic generation (SHG) from nanostructured graphene has been studied in the framework of classical electromagnetism using a surface integral equation method. Single disks and dimers are considered, demonstrating that the nonlinear convers ...

2017

Where Does Energy Go in Electron Energy Loss Spectroscopy of Nanostructures?

Jürgen Brugger, Olivier Martin, Duncan Thomas Lindsay Alexander, Jérémy Butet, Valentin Flauraud, Gabriel David Bernasconi

Electron energy loss spectroscopy is a method of choice for the characterization of both the spatial and spectral properties of localized surface plasmon resonances. The energy lost by the impinging electrons is commonly explained by the Lorentz force acti ...

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

Applications of Strong Convex Relaxations to Allocation Problems

Christos Kalaitzis

Approximation algorithms are a commonly used tool for designing efficient algorithmic solutions for intractable problems, at the expense of the quality of the output solution. A prominent technique for designing such algorithms is the use of Linear Program ...

EPFL2017

Self-Similarity of Plasmon Edge Modes on Koch Fractal Antennas

Olivier Martin, Jérémy Butet, Gabriel David Bernasconi

We investigate the plasmonic behavior of Koch snowflake fractal geometries and their possible application as broadband optical antennas. Lithographically defined planar silver Koch fractal antennas were fabricated and characterized with high spatial and sp ...

2017

Limiting absorption principle and well-posedness for the Helmholtz equation with sign changing coefficients

Hoài-Minh Nguyên

In this paper, we investigate the limiting absorption principle associated to and the well-posedness of the Helmholtz equations with sign changing coefficients which are used to model negative index materials. Using the reflecting technique introduced in [ ...

Elsevier2016

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

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