Abstract
The properties of semiconductor lasers are reviewed within the framework of bifurcation theory and presented as a means for constructing new devices. Static bifurcations are shown to be related to two forms of non-reciprocity. One case of non-reciprocity is found to be analogous to effects in other non-linear waveguides; the second form appears to be novel. Dynamic bifurcations are considered in relation to delay-induced instabilities with particular attention given to multiple time-delay effects. The potential for exploiting properties of systems near bifurcations is examined and shown to be of great applications potential. The role to be played by semiconductor lasers in deepening knowledge of dynamic systems is indicated.
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J. E. CARROLL and I. H. WHITE,Phil. Trans. R. Soc., Lond. A 313 (1984) 233.
M. J. ADAMS,Int. J. Electron. 60 (1986) 123.
K. A. SHORE,Solid St. Electron. 30 (1987) 9.
R. LANG and K. KOBAYASHI,IEEE J. Quantum Electron.,QE-16 (1980) 347.
K. KIKUCHI and T. OKOSHI,Electron. Lett. 18 (1982) 10.
R. O. MILES, A. DANDRIDGE, A. B. TVETEN, H. F. TAYLOR and T. G. GIALLORENZI,Appl. Phys. Lett. 37 (1980) 990.
B. TROMBORG, J. H. OSMUNDSEN and H. OLESEN,IEEE J. Quantum Electron. QE-20 (1984) 1023.
F. MOGENSEN, H. OLESEN and G. JACOBSEN,ibid. QE-21 (1985) 784.
D. LENSTRA, B.-H. VERBEEK and A. J. DEN BOEF,ibid. QE-21 (1985) 674.
C. H. HENRY and R. F. KAZARINOV,ibid. QE-22 (1986), 294.
C. T. SEATON, G. I. STEGEMAN and H. G. WINFUL,Opt. Engng 24 (1985) 593.
A. A. Maradudin, in ‘Optical and Acoustic Waves in Solids — Modern Topics’, edited by M. Borissov (World Scientific, 1983).
J. V. MOLONEY, J. ARIYASU, C. T. SEATON and G. I. STEGEMAN,Appl. Phys. Lett. 48 (1986) 826.
S. M. JENSEN,IEEE J. Quantum Electron. QE-18 (1982) 1580.
B. DAINO, G. GREGORI and S. WABITZ,J. Appl. Phys. 58 (1985) 4512.
S. WABNITZ, E. M. WRIGHT, C. T. SEATON and G. I. STEGEMAN,Appl. Phys. Lett. 49 (1986) 838.
H. G. WINFUL,Opt. Lett. 11 (1986) 33.
B. DAINO, G. GREGORI and S. WABNITZ,Opt. Lett. 11 (1986) 42.
S. TRILLO and S. WABNITZ,Appl. Phys. Lett. 49 (1986) 752.
S. TRILLO, S. WABNITZ, R. H. STOLEN, G. ASSANTO, C. T. SEATON and G. I. STEGEMAN,ibid. 49 (1986) 1224.
R. LANG,Jpn J. Appl. Phys. 16 (1977) 205.
K. A. SHORE,Opt. Quantum Electron. 14 (1982) 321.
I. H. WHITE, J. E. CARROLL and R. G. PLUMB,IEE Proc., Pt I 129 (1982) 291.
R. Linton, I. H. White and J. E. Carroll, ‘Active and Optical switching in four contact Twin-Stripe GaAlAs/GaAs Injection Lasers’ Cambridge (1986).
T. E. ROZZI and K. A. SHORE,J. Opt. Soc. Am. B2 (1985) 237.
S. SMALE,Bull. Am. Math. Soc. 73 (1967) 747.
A. J. LICHTENBURG and M. A. LIEBERMAN, ‘Regular and Stochastic Motion’ (Springer-Verlag, New York, 1982).
J. GUCKENHEIMER and P. HOLMES, ‘Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields’ (Springer-Verlag, New York, 1983).
G. IOOSS and D. D. JOSEPH, ‘Elementary Stability and Bifurcation Theory’ (Springer-Verlag, New York, 1980).
J. M. T. THOMPSON and H. B. STEWART, ‘Nonlinear Dynamics and Chaos’ (Wiley, New York, 1986).
K. A. SHORE,Opt. Quantum Electron. 16 (1984) 157.
K. A. SHORE,IEE Proc., Pt J 132 (1985) 552.
G. P. AGRAWAL and T. M. SHEN,IEEE J. Lightwave Technol. LT4 (1986) 58.
E. ABRAHAM and W. J. FIRTH,Opt. Acta 30 (1983) 1541.
K. IKEDA and M. MIZURO,IEEE J. Quantum Electron. QE-21 (1985) 1429.
K. Ikeda, R. W. Boyd, M. G. Rayner and L. M. Narduchi, (editors), in ‘Optical Instabilities’ (Cambridge University Press, 1986), p. 85.
K. IKEDA and M. MIZURO,Phys. Rev. Lett. 53 (1984) 1340.
M. FEIGENBAUM,Los Alamos Sci. 1 (1980) 4.
K. WIEDENFELD and B. MCNAMARA,Phys. Rev. Lett. 55 (1985) 13.
B. DERIGHETTI, M. RAVANI, R. STOOP, P. F. MEIER and E. BRUN,Phys. Rev. Lett. 55 (1985) 1746.
K. WIESENFELD and B. MCNAMARA,Phys. Rev. A 33 (1986) 629.
C. JEFFRIES and K. WIESENFELD,ibid. 31 (1985) 1077.
Y. C. CHEN, H. G. WINFUL and J. M. LIU,Appl. Phys. Lett. 47 (1985) 208.
K. WIESENFELD,Phys. Rev. A 32 (1985) 1744.
K. WIESENFELD,ibid. 33 (1986) 2523.
K. WIESENFELD,ibid. 33 (1986) 4026.
W. HARTH,Electron. Lett. 9 (1973) 532.
P. RUSSER, H. HILLBRAND and W. HARTH,ibid. 11 (1975) 87.
H. GROTHE, W. HARTH and P. RUSSER,ibid. 12 (1976) 522.
A. POLITI, G. L. OPPO and R. BADII,Phys. Rev. A 33 (1986) 4055.
J. R. TREDICCE, F. T. ARECCHI, G. L. LIPPI and G. P. PUCCIONI,J. Opt. Soc. Am. B2 (1985) 173.
R. S. TUCKER,J. Lightwave Technol. LT3 (1985) 1180.
J. MANNING, R. OLSHENSKY, D. M. FYE and W. POWAZNIK,Electron. Lett. 21 (1985) 496.
G. P. AGRAWAL,Appl. Phys. Lett. 49 (1986) 1013.
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Shore, K.A. Static and dynamic bifurcations in semiconductor lasers for device applications. Opt Quant Electron 19 (Suppl 1), S113–S119 (1987). https://doi.org/10.1007/BF02034358
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DOI: https://doi.org/10.1007/BF02034358