Comparison between staggered and unstaggered finite-difference time-domain grids for few-cycle temporal optical soliton propagation

DOI10.1006/jcph.2000.6460zbMath0960.78015OpenAlexW2099321237WikidataQ60155407 ScholiaQ60155407MaRDI QIDQ1578076

N. Delaunay

Publication date: 27 August 2000

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/e73608edcd72ddcd3a4ee1144b7f87dd79579cab

zbMATH Keywords

stabilityaccuracyMaxwell's equationsnonlinear opticsstaggered gridsoptical solitonsfinite-difference time-domain methodmaterial dispersionspatial central discretizationsunstaggered grids

Mathematics Subject Classification ID

Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Lasers, masers, optical bistability, nonlinear optics (78A60)

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Cites Work

• Unnamed Item
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• Hybrid Ray-FDTD moving window approach to pulse propagation
• A reflectionless sponge layer absorbing boundary condition for the solution of Maxwell's equations with high-order staggered finite difference schemes
• Note on nonsymmetric finite differences for Maxwell's equations
• Stable and accurate boundary treatments for compact, high-order finite- difference schemes
• Fourier analysis of numerical algorithms for the Maxwell equations
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• An unstaggered colocated finite-difference scheme for solving time-domain Maxwell's equations in curvilinear coordinates
• A staggered fourth-order accurate explicit finite difference scheme for the time-domain Maxwell's equations

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