Concept

Série harmonique (musique)

Publications associées (114)

Effects of impurities and local behavior characterization using active thermography on solid oxide electrolysis cells

Ambitious policies are needed from every country to drastically curtail the anthropogenic emission of greenhouse gases responsible for the on-going modification of the earth's climate. A quick transition towards a society fully based on renewable materials ...

EPFL2021

On Katznelson's Question for skew product systems

Florian Karl Richter

Katznelson's Question is a long-standing open question concerning recurrence in topological dynamics with strong historical and mathematical ties to open problems in combinatorics and harmonic analysis. In this article, we give a positive answer to Katznel ...

2021

Doubly resonant second-harmonic generation of a vortex beam from a bound state in the continuum

Nicolas Grandjean, Romuald Houdré, Jean-François Carlin, Matteo Galli, Jun Wang, Marco Clementi, Momchil Minkov

Second-harmonic generation in nonlinear materials can be greatly enhanced by realizing doubly resonant cavities with high quality factors. However, fulfilling such doubly resonant condition in photonic crystal (PhC) slab cavities is a long-standing challen ...

2020

Modes interplay controls the second harmonic generation dynamics of plasmonic nanostructures

Olivier Martin, Andrei Kiselev, Gabriel David Bernasconi

A large amount of experimental and theoretical works deals with the second harmonic generation from different plasmonic geometries. Since they often consider relatively long optical pulses, many of these studies are focused on the investigation of a quasi- ...

SPIE2020

Laterally excited bulk wave resonators (XBARs) based on thin Lithium Niobate platelet for 5GHz and 13 GHz filters

Luis Guillermo Villanueva Torrijo, Annalisa De Pastina, Soumya Yandrapalli, Victor Plessky, Muhammad Faizan

In a free ZY-LiNbO3 400nm thick platelet, narrow electrodes (500nm wide) placed periodically with a pitch of few micrometers can eXcite standing Bulk Acoustic shear wave Resonances (XBARs), by means of lateral electric field parallel to crystalline Y- axis ...

IEEE2019

5 GHz laterally-excited bulk-wave resonators (XBARs) based on thin platelets of lithium niobate

Luis Guillermo Villanueva Torrijo, Soumya Yandrapalli, Victor Plessky

In a free-standing 400-nm-thick platelet of crystalline ZY-LiNbO3, narrow electrodes (500 nm) placed periodically with a pitch of a few microns can eXcite standing shear-wave bulk acoustic resonances (XBARs), by utilising lateral electric fields oriented p ...

2019

A remark on a surprising result by Bourgain in homogenization

Marius Christopher Lemm

In a recent work, Bourgain gave a fine description of the expectation of solutions of discrete linear elliptic equations on Zd with random coefficients in a perturbative regime using tools from harmonic analysis. This result is surprising for it goes beyon ...

2019

Travelling heteroclinic waves in a Frenkel-Kontorova chain with anharmonic on-site potential

Boris Buffoni

The Frenkel-Kontorova model for dislocation dynamics from 1938 is given by a chain of atoms, where neighbouring atoms interact through a linear spring and are exposed to a smooth periodic on-site potential. A dislocation moving with constant speed correspo ...

ELSEVIER SCIENCE BV2019

Harmonic analysis and mean field theory

Denis Karateev

We review some aspects of harmonic analysis for the Euclidean conformal group, including conformally-invariant pairings, the Plancherel measure, and the shadow transform. We introduce two efficient methods for computing these quantities: one based on weigh ...

Springer2019

A combined on-the-fly/interpolation procedure for evaluating energy values needed in molecular simulations

Jiri Vanicek, Konstantin Karandashev

We propose an algorithm for molecular dynamics or Monte Carlo simulations that uses an interpolation procedure to estimate potential energy values from energies and gradients evaluated previously at points of a simplicial mesh. We chose an interpolation pr ...

2019

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