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In order to get the fusion of small capsules containing a deuterium-tritium nuclear fuel,
the MegaJoule laser (LMJ) will focus a large number of laser beams inside a cylinder
(Hohlraum) which contains the fusion capsule. In order to control this process we have to
know as well as possible the electromagnetic field created by the laser beams on both
Hohlraum’s apertures. This article describes a numerical tool which computes this
electromagnetic field...
For the Maxwell equations in time-dependent media only finite difference schemes with time-dependent conductivity are known. In this paper we present a numerical scheme based on the Magnus expansion and operator splitting that can handle time-dependent permeability and permittivity too. We demonstrate our results with numerical tests.
The topic of this paper is the numerical analysis of time periodic solution for electro-magnetic phenomena. The Limit Absorption Method (LAM) which forms the basis of our study is presented. Theoretical results have been proved in the linear finite dimensional case. This method is applied to scattering problems and transport of charged particles.
The topic of this paper is the numerical analysis of time
periodic solution for electro-magnetic phenomena.
The Limit Absorption Method (LAM)
which forms the basis of our study is presented. Theoretical
results have been proved in the linear finite dimensional case. This
method is applied to scattering problems and transport of charged
particles.
In this article we implement different numerical schemes to simulate the Schrödinger-Debye equations that occur in nonlinear optics. Since the existence of blow-up solutions is an open problem, we try to compute such solutions. The convergence of the methods is proved and simulations seem indeed to show that for at least small delays self-focusing solutions may exist.
In this article we implement different numerical schemes to simulate the
Schrödinger-Debye equations that occur in nonlinear optics. Since the
existence of blow-up solutions is an open problem, we try to compute such
solutions. The convergence of the methods is proved and simulations seem
indeed to show that for at least small delays self-focusing solutions may
exist.
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