Čiegis, R.; Radziunas, M. Effective numerical integration of traveling wave model for edge-emitting broad-area semiconductor lasers and amplifiers. (English) Zbl 1259.78031 Math. Model. Anal. 15, No. 4, 409-430 (2010). Summary: We consider a system of \((1+2)\)-dimensional partial differential equations which describes dynamics of edge-emitting broad area semiconductor lasers and amplifiers. The given problem is defined on the unbounded domain. After truncating this domain and defining an auxiliary \((1+1)\)-dimensional linear Schrödinger problem supplemented with different artificial boundary conditions, we propose an effective strategy allowing to get a solution of the full problem with a satisfactory precision in a reasonable time. For further speed-up of the numerical integration, we develop a parallel version of the algorithm. Cited in 3 Documents MSC: 78A60 Lasers, masers, optical bistability, nonlinear optics 65N06 Finite difference methods for boundary value problems involving PDEs 65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs 65Z05 Applications to the sciences 78A40 Waves and radiation in optics and electromagnetic theory 78M20 Finite difference methods applied to problems in optics and electromagnetic theory 65Y05 Parallel numerical computation 82D37 Statistical mechanics of semiconductors Keywords:transparent boundary conditions; finite-difference method; Crank-Nicolson scheme; error estimate; traveling wave model; parallel algorithms; broad area lasers; semiconductor laser Software:BALaser PDFBibTeX XMLCite \textit{R. Čiegis} and \textit{M. Radziunas}, Math. Model. Anal. 15, No. 4, 409--430 (2010; Zbl 1259.78031) Full Text: DOI