Abstract
The vertical external cavity surface emitting laser (VECSEL) as a typical example of laser with multilayer active medium is considered. The round-trip operator technique is presented in the given paper based on the bidirectional beam propagation method (BiBPM). Similarly to traditional Fox-Li technique our method not requires explicit calculation of matrix of the round-trip operator and suits perfectly to Krylov subspace methods of linear algebra. The presented method is extended in natural way to non-linear case taking into account light-medium interaction. The results of modeling of a VECSEL with a resonant array of quantum wells are presented.
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References
Keller, J.B., Antman, S. (eds.): Bifurcation theory and nonlinear eigenvalue problems. W.A. Benjamin, Inc., New York (1969)
Rao, H., Steel, M.J., Scarmozzino, R., Osgood Jr., R.M.: High-power single-mode antiresonant reflecting optical waveguide-type vertical-cavity surface-emitting lasers. IEEE J. Quantum Electron. 37, 1435–1440 (2001)
Elkin, N.N., Napartovich, A.P., Vysotsky, D.V., Lavrushin, B.M., Kozlovsky, V.I.: Modeling of a Vertical Cavity Surface Emitting Laser with a Resonant Array of Quantum Wells. In: AIP Conference Proc., vol. 1168, pp. 436–439 (2009)
Saad, Y.: Numerical Methods for Large Eigenvalue Problem. Manchester University Press, Manchester (1992)
Hadley, G.R.: Modeling of diode laser arrays. In: Botez, D., Scifres, D.R. (eds.) Diode Laser Arrays, ch. 4, pp. 1–72. Cambridge Univ. Press, Cambridge (1994)
Siegman, A.E.: Quasi fast Hankel transform. Optics Letters 1, 13–15 (1977)
Fox, A.G., Li, T.: Effect of gain saturation on the oscillating modes of optical masers. IEEE Journal of Quantum Electronics QE-2, 774–783 (1966)
Broyden, C.G.: A Class of Methods for Solving Nonlinear Simultaneous Equations. Mathematics of Computation 19(92), 577–593 (1965)
Vysotsky, D.V., Elkin, N.N., Napartovich, A.P., Kozlovsky, V.I., Lavrushin, B.M.: Simulation of a longitudinally electron-beam-pumped nanoheterostructure semiconductor laser. Quantum Electronics 39, 1028–1032 (2009)
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Elkin, N.N., Napartovich, A.P., Vysotsky, D.V. (2011). Bidirectional Beam Propagation Method Applied for Lasers with Multilayer Active Medium. In: Dimov, I., Dimova, S., Kolkovska, N. (eds) Numerical Methods and Applications. NMA 2010. Lecture Notes in Computer Science, vol 6046. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18466-6_48
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DOI: https://doi.org/10.1007/978-3-642-18466-6_48
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