Parallel Numerical Algorithm for Simulation of Counter Propagation of Two Laser Beams

DOI10.1007/978-3-642-12110-4_124zbMath1220.78085OpenAlexW139701696MaRDI QIDQ3007030

Raimondas Čiegis, Inga Laukaitytė, Vyacheslav A. Trofimov

Publication date: 21 June 2011

Published in: Progress in Industrial Mathematics at ECMI 2008 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-12110-4_124

zbMATH Keywords

domain decompositionfinite difference schemeparallel computationFFT algorithmcounter-propagating laser wavessoftware tool \texttt{ParSol}

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Numerical methods for discrete and fast Fourier transforms (65T50) Parallel numerical computation (65Y05) Lasers, masers, optical bistability, nonlinear optics (78A60) Software, source code, etc. for problems pertaining to optics and electromagnetic theory (78-04)

Uses Software

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Cites Work

• A linearly implicit conservative scheme for the coupled nonlinear Schrödinger equation
• Conerservative and Nonconservative Schemes for the Solution of the Nonlinear Schrödinger Equation
• Conservative finite-difference scheme for the problem of propagation of a femtosecond pulse in a photonic crystal with combined nonlinearity
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