Abstract
A parallel algorithm for the simulation of the dynamics of high-power semiconductor lasers is presented. The model equations describing the multisection broad-area semiconductors lasers are solved by the finite difference scheme, which is constructed on staggered grids. This nonlinear scheme is linearized applying the predictor–corrector method. The algorithm is implemented by using the ParSol tool of parallel linear algebra objects. For parallelization, we adopt the domain partitioning method; the domain is split along the longitudinal axis. Results of computational experiments are presented. The obtained speed-up and efficiency of the parallel algorithm agree well with the theoretical scalability analysis.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Balay, S., Buschelman, K., Eijkhout, V., Gropp, W.D., Kaushik, D., Knepley, M.G., Curfman McInnes, L., Smith, B.F., Zhang, H.: PETSc Users Manual. ANL-95/11 – Revision 2.3.0. Argonne National Laboratory (2005)
Balsamo, S., Sartori, F., Montrosset, I.: Dynamic beam propagation method for flared semiconductor power amplifiers. IEEE Journal of Selected Topics in Quantum Electronics 2, 378–384 (1996)
Bandelow, U., Radziunas, M, Sieber, J., Wolfrum, M.: Impact of gain dispersion on the spatio-temporal dynamics of multisection lasers. IEEE J. Quantum Electron. 37, 183–188 (2001)
Blatt, M., Bastian, P.: The iterative solver template library. In: B. Kågström, E. Elmroth, J. Dongarra, J. Wasniewski (eds.) Applied Parallel Computing: State of the Art in Scientific Computing, Lecture Notes in Scientific Computing, vol. 4699, pp. 666–675. Springer, Berlin Heidelberg New York (2007)
Chazan, P., Mayor, J.M., Morgott, S., Mikulla, M., Kiefer, R., Müller, S., Walther, M., Braunstein, J., Weimann, G.: High-power near difraction-limited tapered amplifiers at 1064 nm for optical intersatelite communications. IEEE Phot. Techn. Lett. 10(11), 1542–1544 (1998)
Čiegis, Raim, Čiegis, Rem., Jakušev, A., Šalteniene, G.: Parallel variational iterative algorithms for solution of linear systems. Mathematical Modelling and Analysis 12(1) 1–16 (2007)
Čiegis, R., Jakušev, A., Krylovas, A., SuboČ, O.: Parallel algorithms for solution of nonlinear diffusion problems in image smoothing. Mathematical Modelling and Analysis 10(2), 155–172 (2005)
Čiegis, R., Jakušev, A., StarikoviČius, V.: Parallel tool for solution of multiphase flow problems. In: R. Wyrzykowski, J. Dongarra, N. Meyer, J. Wasniewski (eds.) Sixth International conference on Parallel Processing and Applied Mathematics. Poznan, Poland, September 10-14, 2005, Lecture Notes in Computer Science, vol. 3911, pp. 312–319. Springer, Berlin Heidelberg New York (2006)
Egan, A., Ning, C.Z., Moloney, J.V., Indik, R. A., et al.: Dynamic instabilities in Master Oscillator Power Amplifier semiconductor lasers. IEEE J. Quantum Electron. 34, 166–170 (1998)
Gehrig, E., Hess, O., Walenstein, R.: Modeling of the performance of high power diode amplifier systems with an optothermal microscopic spatio-temporal theory. IEEE J. Quantum Electron. 35, 320–331 (2004)
Jakušev, A.: Development, analysis and applications of the technology for parallelization of numerical algorithms for solution of PDE and systems of PDEs. Doctoral dissertation. Vilnius Gediminas Technical University, Technika, 1348, Vilnius (2008)
Kumar, V., Grama, A., Gupta, A., Karypis, G.: Introduction to Parallel Computing: Design and Analysis of Algorithms. Benjamin/Cummings, Redwood City, CA (1994)
Lang, R.J., Dzurko, K.M., Hardy, A., Demars, S., Schoenfelder, A., Welch, D.F.: Theory of grating-confined broad-area lasers. IEEE J. Quantum Electron. 34, 2196–2210 (1998)
Langtangen, H.P.: Computational Partial Differential Equations. Numerical Methods and Diffpack Programming. Springer, Berlin (2002)
Lichtner, M., Radziunas, M., Recke, L.: Well posedness, smooth dependence and center manifold reduction for a semilinear hyperbolic system from laser dynamics. Math. Meth. Appl. Sci. 30, 931–960 (2007)
Lim, J.J., Benson, T.M., Larkins, E.C.: Design of wide-emitter single-mode laser diodes. IEEE J. Quantum Electron. 41, 506–516 (2005)
Maiwald, M., Schwertfeger, S., Güther, R., Sumpf, B., Paschke, K., Dzionk, C., Erbert, G., Tränkle, G.: 600 mW optical output power at 488 nm by use of a high-power hybrid laser diode system and a periodically poled MgO:LiNbO3. Optics Letters 31(6), 802–804 (2006)
Marciante, J.R., Agrawal, G.P.: Nonlinear mechanisms of filamentation in braod-area semiconductor lasers. IEEE J. Quantum Electron. 32, 590–596 (1996)
Ning, C.Z., Indik, R.A., Moloney, J.V.: Effective Bloch equations for semiconductor lasers and amplifiers. IEEE J. Quantum Electron. 33, 1543–1550 (1997)
Pessa, M., Näppi, J., Savolainen, P., Toivonen, M., Murison, R., Ovchinnikov, A., Asonen, H.: State-of-the-art aluminum-free 980-nm laser diodes. J. Lightwave Technol. 14(10), 2356–2361 (1996)
Radziunas, M., Wünsche, H.-J.: Multisection lasers: longitudinal modes and their dynamics. In: J. Piprek (ed) Optoelectronic Devices-Advanced Simulation and Analysis, pp. 121–150. Spinger Verlag, New York (2004)
Radziunas, M.: Numerical bifurcation analysis of the traveling wave model of multisection semiconductor lasers. Physica D 213, 98–112 (2006)
Schultz, W., Poprawe, R.: Manufacturing with nover high-power diode lasers. IEEE J. Select. Topics Quantum Electron. 6(4), 696–705 (2000)
Spreemann, M.: Nichtlineare Effekte in Halbleiterlasern mit monolithisch integriertem trapezförmigem optischen Verstärker. Diploma thesis, Department of Physics, HU-Berlin, (2007)
Walpole, J.N.: Tutorial review: Semiconductor amplifiers and lasers with tapered gain regions. Opt. Quantum Electron. 28, 623–645 (1996)
Wang, H.H.: A parallel method for tridiagonal equations. ACM Transactions on Mathematical Software 7(2), 170–183 (1981)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Laukaityte, I., Čiegis, R., Lichtner, M., Radziunas, M. (2009). Parallel Numerical Algorithm for the Traveling Wave Model. In: Parallel Scientific Computing and Optimization. Springer Optimization and Its Applications, vol 27. Springer, New York, NY. https://doi.org/10.1007/978-0-387-09707-7_21
Download citation
DOI: https://doi.org/10.1007/978-0-387-09707-7_21
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-09706-0
Online ISBN: 978-0-387-09707-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)