Publications related to Local nonreflecting boundary condition for time-dependent multiple scattering

Where is M-theory in the space of scattering amplitudes?

We use the S-matrix bootstrap to carve out the space of unitary, analytic, crossing symmetric and supersymmetric graviton scattering amplitudes in nine, ten and eleven dimensions. We extend and improve the numerical methods of our previous work in ten dime ...

SPRINGER2023

Bounds on photon scattering

Denis Karateev, Kelian Philippe Häring, Marco Meineri, Aditya Hebbar

We study 2-to-2 scattering amplitudes of massless spin one particles in

d=4

space-time dimensions, like real world photons. We define a set of non-perturbative observables (Wilson coefficients) which describe these amplitudes at low energies. We use full ...

2022

Method and apparatus for volumetric additive manufacturing of cell-loaded resins

Christophe Moser, Paul Delrot, Damien Claude-Marie Loterie

The present invention is related to a method and apparatus for the volumetric fabrication of three-dimensional objects or articles from photoresponsive materials loaded with scattering particles, by adjusting the refractive index of said photoresponsive ma ...

2021

Free Boundary Regularity for Almost Every Solution to the Signorini Problem

Xavier Fernandez-Real Girona

We investigate the regularity of the free boundary for the Signorini problem in Rn+1. It is known that regular points are (n−1)-dimensional and C∞. However, even for C∞ obstacles φ, the set of non-regular (or degenerate) points could be very large—e.g. wit ...

2021

On the optimal controllability time for linear hyperbolic systems with time-dependent coefficients

Hoài-Minh Nguyên

The optimal time for the controllability of linear hyperbolic systems in one dimensional space with one-side controls has been obtained recently for time-independent coefficients in our previous works. In this paper, we consider linear hyperbolic systems w ...

2021

An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations

Bernard Kapidani

We introduce a new numerical method for the time-dependent Maxwell equations on unstructured meshes in two space dimensions. This relies on the introduction of a new mesh, which is the barycentric-dual cellular complex of the starting simplicial mesh, and ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2021

Characterization of the traces on the boundary of functions in magnetic Sobolev spaces

Hoài-Minh Nguyên

We characterize the trace of magnetic Sobolev spaces defined in a half-space or in a smooth bounded domain in which the magnetic field Ais differentiable and its exterior derivative corresponding to the magnetic field dAis bounded. In particular, we prove ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2020

Sur quelques équations aux dérivées partielles en lien avec le lemme de Poincaré

David Valentin Strütt

In this thesis, we study two distinct problems. The first problem consists of studying the linear system of partial differential equations which consists of taking a k-form, and applying the exterior derivative 'd' to it and add the wedge product with a 1- ...

EPFL2018

Tomographic imaging with harmonic holography in tissues of known refractive index distribution

Demetri Psaltis, Ye Pu

High-resolution imaging in thick biological tissues beyond a few transport mean free path of photons remains a formidable challenge to modern science and technology. Recent advancements in optical tomography have enabled the reconstruction of the three-dim ...

SPIE-INT SOC OPTICAL ENGINEERING2018

Apparatus to apply forces in a three-dimensional space

Grégoire Courtine, Joachim von Zitzewitz

The present invention relates to a robotic system useful to unload an object/person from its weight. The robotic system is useful in locomotor rehabilitation programs and allows the manipulation of forces in a three-dimensional space with far lower actuato ...

2017

Local nonreflecting boundary condition for time-dependent multiple scattering

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Where is M-theory in the space of scattering amplitudes?

Bounds on photon scattering

Method and apparatus for volumetric additive manufacturing of cell-loaded resins

Free Boundary Regularity for Almost Every Solution to the Signorini Problem

On the optimal controllability time for linear hyperbolic systems with time-dependent coefficients

An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations

Characterization of the traces on the boundary of functions in magnetic Sobolev spaces

Sur quelques équations aux dérivées partielles en lien avec le lemme de Poincaré

Tomographic imaging with harmonic holography in tissues of known refractive index distribution

Apparatus to apply forces in a three-dimensional space

Where is M-theory in the space of scattering amplitudes?

Free Boundary Regularity for Almost Every Solution to the Signorini Problem

Apparatus to apply forces in a three-dimensional space

An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations

Sur quelques équations aux dérivées partielles en lien avec le lemme de Poincaré

Method and apparatus for volumetric additive manufacturing of cell-loaded resins

Characterization of the traces on the boundary of functions in magnetic Sobolev spaces

On the optimal controllability time for linear hyperbolic systems with time-dependent coefficients

Bounds on photon scattering

Tomographic imaging with harmonic holography in tissues of known refractive index distribution