Asymptotic behavior of solutions to Maxwell's system in bounded domains with absorbing Silver–Müller's condition on the exterior boundary

Barucq, Hélène; Hanouzet, Bernard

doi:10.3233/asy-1997-15102

Cited by 20 publications

(17 citation statements)

References 7 publications

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“…Each boundary of the simulation box can feature a different BC. First, injecting/absorbing BCs inspired from the "Silver-Müller" BC [23] are able to inject an electromagnetic wave (e.g. a laser) and/or to absorb outgoing electromagnetic waves.…”

Section: Boundary Conditionsmentioning

confidence: 99%

Smilei : A collaborative, open-source, multi-purpose particle-in-cell code for plasma simulation

Dérouillat

Beck

Pérez

et al. 2018

Computer Physics Communications

372

289

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Smilei is a collaborative, open-source, object-oriented (C++) particle-in-cell code. To benefit from the latest advances in high-performance computing (HPC), Smilei is co-developed by both physicists and HPC experts. The code's structures, capabilities, parallelization strategy and performances are discussed. Additional modules (e.g. to treat ionization or collisions), benchmarks and physics highlights are also presented. Multi-purpose and evolutive, Smilei is applied today to a wide range of physics studies, from relativistic laser-plasma interaction to astrophysical plasmas.Nature of the problem: The kinetic simulation of plasmas is at the center of various physics studies, from laser-plasma interaction to astrophysics. To address today's challenges, a versatile simulation tool requires high-performance computing on massively parallel super-computers.Solution method: The Vlasov-Maxwell system describing the self-consistent evolution of a collisionless plasma is solved using the Particle-In-Cell (PIC) method. Additional physics modules allow to account for additional effects such as collisions and/or ionization. A hybrid MPI-OpenMP strategy, based on a patch-based superdecomposition, allows for efficient cache-use, dynamic load balancing and highperformance on massively parallel super-computers. 1

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Section: Boundary Conditionsmentioning

confidence: 99%

Smilei : A collaborative, open-source, multi-purpose particle-in-cell code for plasma simulation

Dérouillat

Beck

Pérez

et al. 2018

Computer Physics Communications

372

289

View full text Add to dashboard Cite

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“…is widely used for this purpose; here Z = µ/ is the intrinsic impedance of the medium. This condition mimics the Silver-Müller radiation condition [3,4,5], and it is satisfied exactly by plane waves propagating in the outward normal direction. A brief inspection of the Poynting vector n · P = n · (E × H) = H · (n × E) = Z |n × H| 2 reveals that energy is dissipated by transmission through the boundary at every point on the boundary.…”

Section: Introductionmentioning

confidence: 86%

“…If the computational domain Ω is bounded, the system has to be complemented by appropriate boundary conditions. We will consider different types of conditions that all can be cast in the general abstract form b (E, H) = n × g on ∂Ω × R + ; (4) here n is the outward directed unit normal vector at the domain boundary. Problems that are described by such a system of equations arise in various applications, for instance, in the modeling of optical wave guides [1] or in antenna design [2].…”

Section: Introductionmentioning

confidence: 99%

Transparent boundary conditions for a discontinuous Galerkin Trefftz method

Egger

Kretzschmar

Schnepp

et al. 2015

Applied Mathematics and Computation

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The modeling and simulation of electromagnetic wave propagation is often accompanied by a restriction to bounded domains which requires the introduction of artificial boundaries. The corresponding boundary conditions should be chosen in order to minimize parasitic reflections. In this paper, we investigate a new type of transparent boundary condition for a discontinuous Galerkin Trefftz finite element method. The choice of a particular basis consisting of polynomial plane waves allows us to split the electromagnetic field into components with a well specified direction of propagation. The reflections at the artificial boundaries are then reduced by penalizing components of the field incoming into the space-time domain of interest. We formally introduce this concept, discuss its realization within the discontinuous Galerkin framework, and demonstrate the performance of the resulting approximations by numerical tests. A comparison with first order absorbing boundary conditions, that are frequently used in practice, is made. For a proper choice of basis functions, we observe spectral convergence in our numerical test and an overall dissipative behavior for which we also give some theoretical explanation.

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“…It is widely used, from astrophysical studies [5,6] to ultra-intense laser-plasma interaction [12,13]. In Smilei, Maxwell's equations are solved using the Finite-Difference-Time-Domain approach [11,8], and EM waves can be injected/absorbed using the Silver-Müller boundary conditions [1]. The latter allow for EM wave injection by prescribing the transverse magnetic field profiles at a boundary of the simulation domain.…”

mentioning

confidence: 99%

Oblique-incidence, arbitrary-profile wave injection for electromagnetic simulations

Pérez

Grech

2019

Phys. Rev. E

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In an electromagnetic code, a wave can be injected in the simulation domain by prescribing an oscillating field profile at the domain boundary. The process is straightforward when the field profile has a known analytical expression (typically, paraxial Gaussian beams). However, if the field profile is known at some other plane, but not at the boundary (typically, non-paraxial beams), some pre-processing is needed to calculate the field profile after propagation back to the boundary. We present a parallel numerical technique for this propagation between an arbitrary tilted plane and a given boundary of the simulation domain, implemented in the Maxwell-Vlasov particle-in-cell code Smilei.

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Asymptotic behavior of solutions to Maxwell's system in bounded domains with absorbing Silver–Müller's condition on the exterior boundary

Cited by 20 publications

References 7 publications

Smilei : A collaborative, open-source, multi-purpose particle-in-cell code for plasma simulation

Smilei : A collaborative, open-source, multi-purpose particle-in-cell code for plasma simulation

Transparent boundary conditions for a discontinuous Galerkin Trefftz method

Oblique-incidence, arbitrary-profile wave injection for electromagnetic simulations

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