Abstract
An equation is derived for the smooth envelope of a wave field propagating in a plane stratified medium possessing the resonance small-scattering effect on one period of the structure. Rectilinear propagation of the envelope of the field is detected in the xz plane, where x is normal to the layers. The conditions under which this equation can be used are indicated. For a linear array of semiconductor diodes with a stepwise dependence of the permittivity on the coordinates, the conditions for stable propagation of the radiation are analyzed and an explicit solution of the isolated-soliton type is found.
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References
L. A. Brekhovskikh, Waves in Layered Media, Academic Press, New York (1980) [Russian original, Nauka, Moscow (1973)].
P. Yeh, Optical Waves in Layered Media, Wiley, New York (1988).
N. N. Il’ichev, L. A. Malyutin, P. P. Pashinin et al., Pis’ma Zh. Tekh. Fiz. 8, 460 (1982) [Sov. Tech. Phys. Lett. 8, 200 (1982)].
C. A. Zmudzinski, D. Botez, and L. J. Mawst, Appl. Phys. Lett. 60, 1049 (1992).
H. Kogelnik and C. V. Shank, J. Appl. Phys. 43, 2327 (1972).
A. P. Napartovich and D. Botez, Proc. SPIE 2994, 600 (1997).
D. Botez, in Diode Laser Arrays, D. Botez and D. R. Scifres (Eds.), Cambridge University Press (1994).
V. V. Likhanskii and A. P. Napartovich, Proc. SPIE 1840, 256 (1991).
L. D. Landau and E. M. Lifshitz, Quantum Mechanics-Non-Relativistic Theory, vol.3 of Course of Theoretical Physics, Pergamon Press, New York (1977); Fizmatgiz, Moscow (1963).
D. Botez and A. P. Napartovich, IEEE J. Quantum Electron. 30, 975 (1994).
F. R. Gantmakher, The Theory of Matrices, Chelsea, New York (1959) [Russian original Gl. Red. Fiz. Mat. Lit., Moscow (1975)].
R. F. Nabiev and D. Botez, IEEE J. Sel. Top. Quantum Electron. 1, 138 (1995).
D. Botez, L. J. Mawst, G. L. Peterson, and T. J. Roth, IEEE J. Quantum Electron. 26, 482 (1990).
C. Zmudzinski, D. Botez, L. J. Mawst et al., IEEE J. Sel. Top. Quantum Electron. 1, 129 (1995).
R. F. Nabiev, P. Yeh, and D. Botez, Opt. Lett. 18, 1612 (1993).
Ya. I. Khanin, The Dynamics of Quantum Generators, Sov. Radio, Moscow (1966).
W. van Saarlos and P. C. Hohenberg, Physica D 56, 303 (1992).
N. N. Rozanov, Optical Bistability and Hysteresis in Distributed Nonlinear Systems, Nauka, Moscow (1997).
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Zh. Éksp. Teor. Fiz. 115, 416–430 (February 1999)
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Vysotskii, D.V., Napartovich, A.P. Equation for the envelope of the field in a linear array of semiconductor lasers and an analysis of nonlinear effects. J. Exp. Theor. Phys. 88, 227–234 (1999). https://doi.org/10.1134/1.558789
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DOI: https://doi.org/10.1134/1.558789