Abstract
Semiconductor laser with feedback is an excellent model for nonlinear optical system which shows chaotic dynamics. It is interesting not only from the fundamental physical study but also application standpoints of view. The dynamics of feedback induced instability and chaos, especially for optical feedback, and their applications are reviewed in this paper. The model of such a system is described by the laser rate equations. At first the dynamic behaviors of feedback induced instability and chaos in semiconductor lasers are discussed on the basis of the theory and experiments. Instability and chaos may be stabilized by the method of chaos control. Then we apply the method to suppress the noise induced by the feedback in a semiconductor laser. The synchronization of chaos between two similar systems is also an important issue in chaos applications and we discuss secure communications based on chaos synchronization. Some other examples of applications of feedback induced chaos are also described.
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References
H. Haken: Phys. Lett. 53A (1975) 77.
K. Ikeda: Opt. Commun. 30 (1979) 257.
R. Lang and K. Kobayashi: IEEE J. Quantum Electron. QE-16 (1980) 347.
G.H.M. van Tartwijk: Ph.D. Thesis, Vrije University (1994).
G.H.M. van Tartwijk and G.P. Agrawal: Prog. Quantum Electron. 22 (1998) 43.
R.W. Tkach and A.R. Chraplyvy: IEEE J. Lightwave Technol. 4 (1986) 1655.
J. Sacher, W. Elsässer and E.O. Göbel: IEEE J. Quantum Electron. 27 (1991) 373.
R. Binder and S.W. Koch: Prog. Quantum Electron. 19 (1995) 307.
K. Petermann: Laser Diode Modulation and Noise (Kluwer Academic, Dordrecht, 1988).
G.P. Agrawal and N.K. Dutta: Semiconductor Lasres (Van Nostrand Reinhold, New York, 1993).
Y. Liu, N. Kikuchi and J. Ohtsubo: Phys. Rev. E51 (1995) R2697.
B. Tromborg, J.H. Osmundsen and H. Olesen: IEEE J. Quantum Electron. QE-20 (1984) 1023.
A. Murakami, J. Ohtsubo and Y. Liu: IEEE J. Quantum Electron. 33 (1997) 1825.
D. Lenstra: Opt. Commun. 81 (1991) 209.
Y. Cho and T. Umeda: Opt. Commun. 59 (1986) 131.
J. Sacher, D. Baums, P. Panknin, W. Elsässer and E.O. Göbel: Phys. Rev. A45 (1992) 1893.
P. Besnard, B. Meziane and G.M. Stephan: IEEE J. Quantum Electron. 29 (1993) 1271.
Y. Kitaoka, H. Sato, K. Mizuuchi, K. Yamamoto and M. Kato: IEEE J. Quantum Electron. 32 (1996) 822.
C. Masoller and N.B. Abraham: Phys. Rev. A57 (1998) 1313.
J. Mørk, J. Mark and B. Tromborg: Phys. Rev. Lett. 65 (1990) 1999.
J. Ye, H. Li and J.G. McInerney: Phys. Rev. A47 (1993) 2249.
H. Li, J. Ye and J.G. McInerney: IEEE J. Quantum Electron. 29 (1993) 2421.
A. Ritter and H. Haug: J. Opt. Soc. Am. B10 (1993) 145.
J.S. Cohen, R.R. Drenten and B.H. Verbeek: IEEE J. Quantum Electron. 24 (1988) 1989.
J. Helms and K. Petermann: IEEE J. Quantum Electron. 26 (1990) 833.
A.M. Levine, G.H.M. van Tartwijk, D. Lenstra and T. Erneux: Phys. Rev. A52 (1995) 3436.
H. Kakiuchida and J. Ohtsubo: IEEE J. Quantum Electron. 30 (1994) 2087.
S.Y. Ye and J. Ohtsubo: Opt. Rev. 5 (1998) 280.
C. Masoller: Opt. Commun. 128 (1996) 343.
J.W.M. Biesterbos, A.J. den Boef, W. Linders and G.A. Acket: IEEE J. Quantum Electron. 19 (1983) 986.
J.P. van der Ziel and R.M. Mikulyak: IEEE J Quantum Electron. 20 (1984) 223.
G.A. Acket, D. Lenstra, A.J. den Boef and B.H. Verbeek: IEEE J. Quantum Electron. 20 (1984) 1163.
D.R. Hjelme and A.R. Mickelson: IEEE J. Quantum Electron. 23 (1987) 1000.
Z.M. Chuang, D.A. Cohen and L.A. Coldren: IEEE J. Quantum Electron. 26 (1990) 1200.
Y. Katagiri and S. Hara: Appl. Opt. 33 (1994) 5564.
Y. Ikuma and J. Ohtsubo: IEEE J. Quantum Electron. 34 (1998) 1240.
Y. Ikuma and J. Ohtsubo: Proc. EOS Topical Meeting “Electromagnetic Optics” (1998) 55.
J. Sacher, W. Elsässer and E.O. Göbel: Phys. Rev. Lett. 63 (1989) 2224.
G.H.M. van Tartwijk, A.M. Levine and D. Lensta: IEEE J. Quantum Electron. 31 (1995) 466.
T. Sano: Phys. Rev. A50 (1994) 2719.
I. Fischer, G.H.M. van Tartwijk, A.M. Levine, W. Elsässer, E. Göbel and D. Lenstra: Phys. Rev. Lett. 76 (1996) 220.
M-W. Pan, B-P. Shi and G.R. Gray: Opt. Lett. 22 (1997) 166.
Y. Takiguchi, Y. Liu and J. Ohtsubo: Opt. Lett. 23 (1998) 1369.
G.P. Agrawal and J.T. Klaus: Opt. Lett. 16 (1991) 1325.
G.P. Agrawal and G.R. Gray: Phys. Rev. A 46 (1992) 5890.
L.N. Langley and K.A. Shore: IEE Proc. Optoelectron. 141 (1994) 103.
E. Bochove: Phys. Rev. A 55 (1997) 3891.
A. Murakami and J. Ohtsubo: IEEE J. Quantum Electron. 34 (1998) 1979.
G.H.M. van Tartwijk, H.J.C. van der Linden and D. Lenstra: Opt. Lett. 17 (1992) 1590.
G.R. Gray, D. Huang and G.P. Agrawal: Phys. Rev. A 49 (1994) 2096.
D.H. DeTienne, G.R. Gray, G.P. Agrawal and D. Lenstra: IEEE J. Quantum Electron. 33 (1994) 668.
W.A. van der Graaf, L. Pesquera and D. Lenstra: Opt. Lett. 23 (1998) 256.
Y. Tomita, R. Yahalom and A. Yariv: Opt. Commun. 73 (1989) 413.
E. Ott, C. Grebogi and J. A. Yorke: Phys. Rev. Lett. 64 (1990) 1196.
K. Pyragas: Phys. Lett. A 170 (1992) 421.
A.V. Naumenko, N.A. Loiko, S.I. Turovets, P.S. Spencer and K.A. Shore: J. Opt. Soc. Am. B 15 (1998) 551.
S.I. Turovet, J. Dellunde and K.A. Shore: J. Opt. Soc. Am. B 14 (1997) 200.
E.R. Hunt: Phys. Rev. Lett. 67 (1991) 1953.
R. Roy, T.W. Murphy, T.D. Maier, Z. Gills and E.R. Hunt: Phys. Rev. Lett. 68 (1992) 1259.
Y. Liu and J. Ohtsubo: Opt. Lett. 19 (1994) 488.
Y. Liu and J. Ohtsubo: Opt. Rev. 1 (1994) 91.
A.T. Ryan, G.P. Agrawal, G.R. Gray and E.C. Gage: IEEE J. Quantum Electron. 30 (1994) 668.
N. Watanabe and K. Karaki: Opt. Lett. 20 (1995) 1032.
N. Kikuchi, Y. Liu and J. Ohtsubo: IEEE J. Quantum Electron. 33 (1997) 56.
M. Ojima, A. Arimoto, N. Chinone, T. Gotoh and K. Aiki: Appl. Opt. 25 (1986) 1404.
G.R. Gray, A.T. Ryan, G.P. Agrawal and E.C. Gage: Opt. on. 32 (1993) 739.
S-Y. Ye and J. Ohtsubo: Proc. JICAST’98/CPST’98 (1998) 218.
G.H.M. van Tartwijk and M.S. Miguel: IEEE J. Quantum. Lett. 32 (1996) 1191.
Y. Liu and J. Ohtsubo: IEEE J. Quantum Electron. 33 (1997) 1163.
I. Fischer, O. Hess, W. Elsasser and E. Göbel: Phys. Rev. Lett. 73 (1994) 2188.
C. Simmendinger and O. Hess: Phys. Lett. A 216 (1996) 97.
L.M. Pecora and T.L. Carroll: Phys. Rev. Lett. 64 (1990) 821.
R. Roy and K.S. Thornburg: Phys. Rev. Lett. 72 (1994) 2009.
T. Sugawara, M. Tachikawa, T. Tsukamoto and T. Shimizu: Phys. Rev. Lett. 72 (1994) 3502.
V. Abbivazzu-Lodi, S. Donati and A. Sciré: IEEE J. Quantum Electron. 33 (1997) 1449.
C.R. Mirasso, P. Colet and P. Garcia-Fernadez: IEEE Phtonics Technol. Lett. 8 (1996) 299.
J.K. White and J.V. Moloney: Proc. NOLTA’97 (1997) 129.
J-P. Goedgebuer, L. Larger and H. Porte: Phys. Rev. Lett. 80 (1998) 2249.
L. Larger, J-P. Goedgebuer and F. Delorme: Phys. Rev. E 57 (1998) 6618.
G.D. Ban Wiggeren and R. Roy: Science 279 (1998) 1198.
J.Y. Law and G.P. Agrawal: J. Opt. Soc. Am. B 15 (1998) 562.
F. Robert, P. Besnard, M.L. Chares and G.M. Stephan: IEEE J. Quantum Electron. 33 (1997) 2231.
P.S. Spencer, C.R. Mirasso, P. Colet and K.A. Shore: IEEE J. Quantum Electron. 34 (1998) 1673.
J.V. Sandusky and S.RJ. Brueck: IEEE J. Quantum Electron. 33 (1997) 1574.
J.U. Nokel and A.D. Stone: Nature 385 (1997) 45.
H. Adachihara, O. Hess and E. Abraham: J. Opt. Soc. Am. B 10 (1993) 658.
J. Martin-Regalado, G.H.M. van Tartwijk, S. Balle and M. San Miguel: Phys. Rev. A 54 (1996) 5386.
W. Nagengast and K. Rith: Opt. Lett. 22 (1997) 1250.
K. Iida, H. Hisaki, O. Matoba, T. Omatsu, T. Shimura and K. Kuroda: Opt. Commun. 146 (1998) 6.
G. Livy and A.A. Hardy: IEEE J. Quantum Electron. 33 (1997) 26.
G. Levy and A.A. Hardy: IEEE J. Quantum Electron. 34 (1998) 1.
H.G. Winful and L. Rahman: Phys. Rev. Lett. 65 (1990) 1575.
M. Münke, F. Kaiser and O. Hess: Phys. Lett. A 222 (1996) 67.
D. Auerbach and J.A. Yorke: J. Opt. Soc. Am. B 13 (1996) 2178.
J. Mørk and B. Tromborg: IEEE Photonics Technol. Lett. 2 (1990) 21.
J. Mørk, M. Semkow and B. Tromborg: Electron. Lett. 26 (1990) 609.
Y. Liu and P. Davis: Int. J. Bifur. Chaos 8 (1998) (in press).
L. Goldberg, H.F. Taylor, A. Dandridge, J.F. Weller and R.O. Miles: IEEE J. Quantum Electron. QE-18 (1982) 555.
P. Kurz and T. Mukai: Opt. Lett. 21 (1996) 1369.
B.W. Liby and D. Statman: IEEE J. Quantum Electron. 32 (1996) 835.
N. Watanabe and K. Karaki: Opt. Lett. 21 (1996) 1256.
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Ohtsubo, J. Feedback Induced Instability and Chaos in Semiconductor Lasers and Their Applications. OPT REV 6, 1–15 (1999). https://doi.org/10.1007/s10043-999-0001-z
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DOI: https://doi.org/10.1007/s10043-999-0001-z