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Oraevsky A. N. Dynamics of single-mode lasers and dynamical chaos. Izvestiya VUZ. Applied Nonlinear Dynamics, 1996, vol. 4, iss. 1, pp. 3-32. DOI: 10.18500/0869-6632-1996-4-1-3-32
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532.517, 621.391.01
Dynamics of single-mode lasers and dynamical chaos
Autors:
Oraevsky Anatoly Nikolaevich, P.N. Lebedev Physical Institute of the Russian Academy of Sciences
Abstract:
A review on nonlinear of single-mode lasers are presented. A special attention is paid to properties of a strange attractor corresponding to a chaotic regime of a single mode laser. The main topics of laser nonlinear dynamics are listed and discussed. List of references: 160 positions.
Key words:
Reference:
- Andronov AA, Vitt AA, Khaikin SE. Theory of Oscillators. Oxford: Pergamon Press; 1966. 815 p.
- Rabinovich MI, Trubetskov DI. Introduction to the Theory of Oscillations and Waves. М.: Nauka; 1984. 432 p. (in Russian).
- Ruelle D, Takens F. On the nature of turbulence. Commun.Math. Phys. 1971;20:167-192.
- Lorenz EN. Deterministic Non-Periodic Flow. Journal of the Atmospheric Sciences. 1963;20(2):130-141. DOI: 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2.
- Grasyuk AZ, Oraevsky AN. Transient processes in a molecular generator. Radio Engineering Electron. Phys. 1964;9(3):524-532.
- Grasiuk AZ, Oraevsky AN. Transient processes in а beam maser. In: Proc. of the 4-th International Congress оn Microwave Tubes. September, 1962. Sheveningen, Holland. P. 446. Grasiuk AZ, Oraevsky AN. The Dynamics of quantum oscillator. Estratto da Rendiconti della Scuola Internationale di Fisica «E.Fermi», XXXI Corso. P.192 (August 1963, Varenna, Italy); In: Miles PA, editor. Quantum Electronics and Coherent Light. N.Y.: Academic press; 1964.
- Oraevsky AN. Molecular Generators. M.: Nauka; 1964. 295 p.
- Haken H. Analogy between higher instabilities in fluids and lasers. Phys. Lett. A. 1975;53(1):77-78. DOI: 10.1016/0375-9601(75)90353-9.
- Fain VM. On the Equations of the Oscillations of the Molecular Generator. J. Exp. Theor. Phys. 1958;6(4):726-728.
- Oraevsky AN. To the theory of the molecular generator. Radio Engineering Electron. Phys. 1959;4(4):718.
- Oraevsky AN, Toronov VYu. Influence of fluctuations on an attractor in the model of a single-mode laser. Soviet J. Quantum Electron. 1989;19(10):1327-1331. DOI: 10.1070/QE1989v019n10ABEH009238.
- Lanford О. Appendix to Lecture VII: Computer pictures of the Lorenz attractor. In: Bernard P, Ratiu T, editors. Turbulence Seminar. Lecture Notes in Mathematics. Vol. 615. Berlin: Springer; 1977. P. 113-116. DOI: 10.1007/BFb0068364.
- Monin АS. On the nature of turbulence. Phys. Usp. 1978;21(5):429-442. DOI: 10.1070/PU1978v021n05ABEH005554.
- Rabinovich MI. Stochastic self-oscillations and turbulence. Phys. Usp. 1978;21(5):443-469. DOI: 10.1070/PU1978v021n05ABEH005555.
- Gaponov-Grekhov AV, Rabinovich МI. L. I. Mandel'shtam and the modern theory of nonlinear oscillations and waves. Phys. Usp. 1979;22(8):590-614. DOI: 10.1070/PU1979v022n08ABEH005590.
- Gaponov-Grekhov AV, Rabinovich МI. Nonlinear physics. Stochasticity and structures. In: Physics of the XX Century: Development and Prospects. М.: Nauka; 1984. P. 219-280.
- Оtt Е. Strange attractors and chaotic motions оf dynamical systems. Rev. Mod. Phys. 1981;53(4):655-671. DOI: 10.1103/RevModPhys.53.655.
- Hofstadter DR. Metamagical Themas. Strange attractors: mathematical patterns delicately poised between order and chaos. Sci. Amer. 1981;245(5):22-43. DOI: 10.1038/scientificamerican1181-22.
- Oraevsky АN. Masers, lasers, and strange attractors. Soviet J. Quantum Electron. 1981;11(1):71-78. DOI: 10.1070/QE1981v011n01ABEH005328.
- Williams RF. The structure of Lorenz attractors. Publications Mathématiques de L’Institut des Hautes Scientifiques. 1979;50:73–99. DOI: 10.1007/BF02684770.
- Kaplan JL, Yorke JA. Preturbulence: A regime observed in a fluid flow model of Lorenz. Commun. Math. Phys. 1979;67:93–108. DOI: 10.1007/BF01221359.
- Afraimovich VS, Bykov VV, Shilnikov LP. On the origin and structure of the Lorentz attractor. Soviet Phys. Doklady. 1977;234:336-339.
- Toronov VYu. Study of Dynamic Models of a Single-mode Laser. PhD Thesis. Saratov: Saratov State University; 1992.
- Ledrappier Е. Some relations between dimension and Lyapunov exponents. Comm. Math. Phys. 1981;81(2):229-238. DOI: 10.1007/BF01208896.
- Belenov EМ, Morozov VN, Oraevskii AN. Questions of dynamics of quantum generators. Proceedings of the Physical Institute of the Academy of Sciences. 1970;52:237-321.
- Malkin IG. Some Problems of the Theory of Nonlinear Oscillations. M.: GOSTEKHIZDAT; 1956. 491 p.
- Arecchi FT, Meucci R, Puccioni GP, Tredicce JR. Experimental Evidence of Subharmonic Bifurcations, Multistability, and Turbulence in a Q-Switched Gas Laser. Phys. Rev. Lett. 1982;49(17):1217-1220. DOI: 10.1103/PhysRevLett.49.1217.
- Idiatulin VS, Uspenskii AV. Modes in a generator with a heterogeneously widened line. In: Materials of the II All-Union Seminar-Meeting “Metrology in Radio Electronics”. M.; 1971. P. 68.
- Vladimirskii KV. On the stability of generation on a heterogeneously widened line. Brief Reports on Physics. 1971;10:41-48.
- Lugiato LA, Narducci LM, Bandy DK, Abraham NB. Instabilities in inhomogeneously broadened single-mode lasers. Opt. Comm. 1983;46(2):115-120. DOI: 10.1016/0030-4018(83)90389-9.
- Mandel P. Influence оf Lorentz broadening on the stability of monomode ring lasers. Opt. Comm. 1983;45(4):269-272. DOI: 10.1016/0030-4018(83)90153-0.
- Mandel P. Properties of Lorentz-broadened single-mode unidirectional ring laser. JOSA-B. 1985;2(1):112-119. DOI: 10.1364/JOSAB.2.000112.
- Abraham NB, Lugiato LA, Mandel Р, Narducci LM, Bandy DK. Steady- state and unstable behavior of а single-mode inhomogeneously broadened laser. JOSA В. 1985;2(1):35-46. DOI: 10.1364/JOSAB.2.000035.
- Bandy DK, Narducci LM, Lugiato LA, Abraham NB. Time-dependent behavior of a unidirectional ring laser with inhomogeneous broadening. JOSA B. 1985;2(1):56-61. DOI: 10.1364/JOSAB.2.000056.
- Casperson LM. Spontaneous coherent pulsation in ring-laser oscillators: stability criteria. JOSA B. 1985;2(6):933-997. DOI: 10.1364/JOSAB.2.000993.
- Tarroja MFH, Abraham NB, Bandy DK, Narducci LM. Periodic and chaotic output pulsations in a single-mode inhomogeneously broadened laser. Phys. Rev. A. 1986;34(4):3148-3158. DOI: 10.1103/PhysRevA.34.3148.
- Casperson LM. Stability criteria for lasers with mixed line broadening. Opt. Quant. Electron. 1987;19:29-36. DOI: 10.1007/BF02030628.
- Casperson LM. Spontaneous coherent pulsation in standing-wave laser oscillator: frequency characteristics. JOSA B. 1988;5(5):970-978. DOI: 10.1364/JOSAB.5.000970.
- Casperson LM. Gas laser instabilities and their interpretation. In: Abraham NB, Arecchi FT, Lugiato LA, editors. Instabilities and Chaos in Quantum Optics II. Boston: Springer; 1988. Р. 83-98. DOI: 10.1007/978-1-4899-2548-0_6.
- Oraevskii FN, Protsenko IE, Safonova MA, Toronov VYu. Dynamical regimes in a laser with two resonant lines of the active medium. Radiophys. Quantum Electron. 1988;31(3):219-229. DOI: 10.1007/BF01080383.
- Melnikov АL. Spatio-time Dynamics of Light Fields in Lasers, Resonance Media and Optical Waveguides. Doctoral Thesis. Saratov: Saratov State University; 1992. 344 p.
- Glova АF, Kozlov SN, Likhanskii VV, Yartsev VP. Bifurcations and chaos in a periodically pumped CO2 laser. Soviet J. Quantum Electron. 1990;20(7):817-819. DOI: 10.1070/QE1990v020n07ABEH006982.
- Khandokhin PA, Khanin YaI. Autostochastic operation of a solid-state ring laser with low-frequency periodic loss modulation. Soviet J. Quantum Electron. 1984;14(7):1004-1007. DOI: 10.1070/QE1984v014n07ABEH005305.
- Perevedentseva GV, Khandokhin PA, Khanin YaI. Theory of a single-frequency solid-state ring laser. Soviet J. Quantum Electron. 1980;10(1):71-74. DOI: 10.1070/QE1980v010n01ABEH009859.
- Ivanov DV, Khanin УаI, Matorin LI, Pikovsky AS. Chaos in а solid-state laser with periodically modulated losses. Phys. Lett. А. 1982;89(5):229-230. DOI: 10.1016/0375-9601(82)90886-6.
- Gioggia RS, Abraham NB. Routs to chaotic output from а single-mode dc-excited laser. Phys. Rev. Lett. 1983;51(8):650-653. DOI: 10.1103/PhysRevLett.51.650.
- Litvinov VF, Molochev VI, Morozov VN, Nikitin VV, Semenov AS. Dynamic instability of a semiconductor laser at low temperatures. JETP Lett. 1974;19(12):384-386.
- Minden ML, Casperson LW. Dispersion-induced instability in CW laser oscillators. IEEE J. Quantum Electron. 1978;18(11):1952-1957. DOI: 10.1109/JQE.1982.1071466.
- Bentley J, Abraham NB. Mode-pulling, mode-splitting and pulsing in a high gain He-Xe-laser. Opt. Comm. 1982;41(1):52-56. DOI: 10.1016/0030-4018(82)90211-5.
- Biswas DJ, Harrison RG. Observation of optical turbulence in а single mode homogeneously broadened optically pumped molecular laser. Opt. Comm. 1985;54(2):112-116. DOI: 10.1016/0030-4018(85)90012-4.
- Weiss СО, Brock J. Evidence of Lorenz-type chaos in а laser. Phys. Rev. 1986;57(22):2804-2806. DOI: 10.1103/PhysRevLett.57.2804.
- Weiss СО, Abraham NB, Hubner U. Homoclinic and heteroclinic chaos in single-mode laser. Phys. Rev. Lett. 1988;61(14):1587-1590. DOI: 10.1103/PhysRevLett.61.1587.
- Abraham NB, Dangoisse D, Glorieux P, Mandel P. Observation of undamped pulsation in a low-pressure far-infrared laser and comparison with a simple theoretical model. JOSA B. 1985;2(1):23-34. DOI: 10.1364/JOSAB.2.000023.
- Khanin YaI. Dynamics of Quantum Generators. М.: Sovetskoe Radio; 1975. 496 p.
- Dementyev VA, Zubarev TN, Oraevskii АN. Modes of radiation intensity pulsations in quantum generators. Proceedings of the Physical Institute of the Academy of Sciences. 1977;91:3-74.
- Akhmanov SA, Dyakov YuE, Chirkin АS.Introduction to Statistical Radiophysics and Optics. M.: Nauka; 1981. 640 p.
- Rivlin LA, Semenov АТ, Yakubovich SD. Dynamics and Radiation Spectra of Semiconductor Lasers. М.: Radio i Svyaz; 1983. 208 p.
- Feigenbaum M. Universal Behavior in Nonlinear Systems. Los Alamos Sci. 1980;1(1):4-27.
- Voitovich АP. Magneto-optics of Gas Lasers. Minsk: Nauka i tekhnika; 1984. 207 p.
- Agraval G. Long-Wavelength Semiconductor Lasers. Dordrecht: Springer; 1986. 474 p.
- Neimark YuI, Landa PS. Stochastic and Chaotic Osciliations. Dordrecht: Springer; 1992. 500 p. DOI: 10.1007/978-94-011-2596-3.
- Narducci LM, Abraham МВ. Laser physics and laser instabilities. New Jersey: World Scientific; 1988. 302 p.
- Haken H. Light: Laser Light Dynamics. Amsterdam: North-Holland Publishing Company; 1981. 336 p.
- Samson AM, Kotomtseva LА, Loiko NА. Auto-Oscilations in Lasers. Minsk: Nauka i Tekhnika; 1990. 279 p.
- Anishchenko VS. Complex Oscillations in Simple Systems. М.: Nauka; 1990. 312 p. (in Russian).
- Gordon JP. Quantum Effects in Communications Systems. Рrос. IRE. 1962;50(9):1898-1908. DOI: 10.1109/JRPROC.1962.288169.
- Agabekyan AS, Grasyuk AZ, Zubarev IG, Oraevskii AN, Svergun VN. Radio Engineering Electron. Phys. 1964;9:2156.
- Lugiato LA. Instabilities in the laser with injected signal and laser-phase transition analogy. Lett. Nuovo Cimento. 1978;23:609-616. DOI: 10.1007/BF02772938.
- Yamada T, Graham R. Chaos in a laser system under modulated external field. Phys. Rev. Lett. 1980;45(16):1322-1324. DOI: 10.1103/PhysRevLett.45.1322.
- Scholz HJ, Yamada T, Brand H, Graham R. Intermittency and chaos in a laser system with modulated inversion. Phys. Lett. A. 1981;82:321–323. DOI: 10.1016/0375-9601(81)90905
- Lugiato LA, Narducci LM, Bandy DK, Pennise CA. Breathing, spiking and chaos in a laser with injected signal. Opt. Comm. 1983;46(1):64-68. DOI: 10.1016/0030-4018(83)90032-9.
- Bandy DK, Narducci LM, Pennise СА, Lugiato LA. In: Mandel L, Wolf E, editors. Coherence and Quantum Optics. N.Y.: Plenum Press; 1984. P. 585.
- Arecchi FT, Lippi G., Puccioni G., Tredicce JR. In: Mandel L, Wolf E, editors. Coherence and Quantum Optics. N.Y.: Plenum Press; 1984. Vol. 5. P.1227.
- Otsuka K, Iwamura H. Theory of optical multistability and chaos in a resonant-type semiconductor laser amplifier. Phys. Rev. A. 1983;28(5):3153-3155. DOI: 10.1103/PhysRevA.28.3153.
- Bandy DK, Narducci LM, Lugiato LA Coexisting attractors in a laser with injected signal. JOSA B. 1985;2(1):148-155. DOI: 10.1364/JOSAB.2.000148.
- van Tartwijk GHM, Lenstra D. Nonlocking behavior of an optically injected diode laser. In: Proc. of SPIE on Nonlinear dynamics in Lasers and Optical Systems. Vol. 2099. 1993. P. 89.
- Ikeda K. Multiple-valued stationary state and its instability of the transmitted light by a ring cavity system. Opt. Comm. 1979;30(2):257-261. DOI: 10.1016/0030-4018(79)90090-7.
- Lugiato LA. Optical bistability. In: E.Wolf, editor. Progress in Optics. Amsterdam, North Holland 1984. Vol. XXI. P. 69.
- Bowden CM, Cifton U, Robl RR. Optical bistability. N.Y.: Plenum Press; 1981. 632 p. DOI: 10.1007/978-1-4684-3941-0.
- Bowden CM, Gibbs HM, McCall SL. Optical Bistability II. N.Y.: Plenum Press; 1984. 512 p.
- Gibbs HM. Optical Bistability: Controlling Light with Light. N.Y.: Academic Press; 1985. 471 p.
- Gibbs HM, Mandel P, Peyghambarian N, Smith SD, editors. Optical Bistability III. Berlin: Springer; 1986. 366 p. DOI: 10.1007/978-3-642-46580-2.
- Harrison RJ, Firth WJ, Emshary CA, Al-Saidi IA. Observation of period doubling in all-optical resonator containing NH3 gas. Phys. Rev. Lett. 1983;51(7):562-565. DOI: 10.1103/PhysRevLett.51.562.
- Rivlin LA. Negative Resonance Absorption of Light in a Stable Medium. J. Exp. Theor. Phys. 1965;20(2):416-417.
- Voropaev ND, Oraevskii АN. Laser modes in the presence of an absorbing impurity. Soviet Radiophysics. 1965;8(2):294-296. DOI: 10.1007/BF01038625.
- Lasher G, Stern F. Spontaneous and Stimulated Recombination Radiation in Semiconductors. Phys. Rev. 1964;133(2A):A533-A563. DOI: 10.1103/PhysRev.133.A553.
- Basov NG, Nikitin VV, Semenov АS. Dynamics of semiconductor injection lasers. Phys. Usp. 1969;12(2):219-240. DOI: 10.1070/PU1969v012n02ABEH003934.
- Arimondo E, Glorieux Р. The observation of transients in a CO2 or N2O ir laser by modulation of an intracavity absorber. Appl. Phys. Lett. 1978;33(1):49-51. DOI: 10.1063/1.90162.
- Arimondo E, Casagrande F, Lugiato LA, Glorieux P. Repetitive passive Q-switching and bistability in lasers with saturable absorbers. Appl. Phys. B. 1983;30(2):57-77. DOI: 10.1007/BF00688479.
- Samson AM. Equilibrium states, self-oscillations, polyability and hysteresis phenomena in lasers with an illuminating filter. Preprint No 321. Minsk: Institute of Physics AS BSSR; 1984.
- Arimondo E, Dagoisse D, Gabbanini C, Menchi E, Papoff F. Dynamic behavior of bistability in a laser with a saturable absorber. JOSA B. 1987;4(6):892-899. DOI: 10.1364/JOSAB.4.000892.
- Samson АМ, Kotomtseva LA, Loiko NА. Bulletin of the Russian Academy of Sciences. Physics. 1989;53(6):1076.
- Hennequin Р, Dangoisse D, Glorieux P. Farey hierarchy in а bimode СО2 - laser with saturable absorber. Phys. Rev. A. 1990;42(11):6966-6968. DOI: 10.1103/PhysRevA.42.6966.
- Anishchenko VS, Safonova MA, Tatarkova SA, Tuchin VV. Parameter modulation in a laser with a saturable absorber. Soviet J. Quantum Electron. 1991;21(9):967-970. DOI: 10.1070/QE1991v021n09ABEH004002.
- Lefranc M, Hennequin D, Dangoisse D. Homoclinic chaos in а laser contaning а saturable absorber. JOSA B. 1991;8(2):239-249. DOI: 10.1364/JOSAB.8.000239.
- Tatarkova SA, Tuchin VV. Multistability and chaos in laser with saturable absorber. Laser Physics. 1992;2(4):482-489.
- Okulov АYu, Orayevsky AN. Regular and stochastic self-modulation of radiation in a ring laser with a nonlinear element. Soviet J. Quantum Electron. 1984;14(9):1235-1237. DOI: 10.1070/QE1984v014n09ABEH006171.
- Kovalev VI, Suvorov МB, Tasmuratov ОS. Temporal dynamics and spatial characteristics of CO2 laser generation with a nonlinear medium in the resonator. Bulletin of the Russian Academy of Sciences. Physics. 1990;54(10):2062.
- Gordienko VM, Kovalev VI, Putivskii YuYa. Dynamics of a TEA CO2 laser with a cubic nonlinear medium in the cavity: from frequency stabilisation to chaos. Quantum Electron. 1994;24(12):1076-1083. DOI: 10.1070/QE1994v024n12ABEH000264.
- Oraevskii AN. Multitemperature model and laser dynamics. Soviet J. Quantum Electron. 1990;20(11):1371-1372. DOI: 10.1070/QE1990v020n11ABEH007527.
- Oraevsky AN, Clark MM, Bandy DK. Many-temperature model of a laser with dynamics. Opt. Comm. 1991;85(4):360-364. DOI: 10.1016/0030-4018(91)90491-U.
- Willatzen M, Uskov A, Mork J, Olesen H, Tromborg B, Jauho A-P. Nonlinear gain supprestion in semiconductor lasers due to carrier heating. IEEE Photon. Technol. Lett. 1991;2(7):606-609. DOI: 10.1109/68.87928.
- Loiko NA. Nonlinear Dynamics of Laser Systems with Delay. Doctoral Thesis. Minsk: Institute of Physics of the Belarusian Academy of Sciences; 1993.
- Mork J, Tromborg B, Mark J, Velichansky V. Instabilities in а laser diode with а strong optical feedback. In: Proc. of SPIE. Vol. 1837. 1992. P. 775.
- Mork J, Tromborg B, Christiansen PL. Bistability and low-frequancy fluctuations in semiconductor lasers with optical feedback: a theoretical analysis. IEEE J. Quantum Electron. 1988;24(2):123-133. DOI: 10.1109/3.105.
- Mork J. Nonlinear dynamics and stochastic behaviour of semiconductor lasers with optical feedback. The Technical University of Denmark Report No S48. March, 1989.
- Anishchenko VS, Bogoroditsky AG, Rabinovich EM. Bifurcation of the period adding and transition to chaos in a laser generator with delayed feedback. In: Eds. N.B. Abraham, Elsa Garmire, Paul Mandel, editors. OSA Proc. on Nonlinear Dynamics in Optical System. 1990. P. 415.
- Oraevsky AN. Toward a theory of thin-layer lasers. Soviet J. Quantum Electr. 1992;22(10):910-914. DOI: 10.1070/QE1992v022n10ABEH003628.
- Oraevsky AN, Denisov PE, Jones DJ, Bandy DK. Nonlinear Dynamics of а Thin-Layer Laser. In: Proc. оf SPIE on Nonlinear Dynamics in Lasers and Optical System. Vol. 2099. 1993. P. 183.
- Cerboneschi E, de Tomai Е, Arimondo Е. Low frequency fluctuation instabilities in diod lasers with optical feedback. In: Рrос. of SPIE on Nonlinear Dynamics in Lasers and Optical System. Vol. 2099. 1993. P. 193.
- Basov NG, Morozov VN, Oraevskii АN. Dynamics of an optical quantum generator with two types of oscillations. Soviet Phys. Doklady. 1965;162(4):781-784.
- Basov NG, Morozov VN, Oraevskii АN. Nonlinear Mode Interaction in Lasers. J. Exp. Theor. Phys. 1966;22(3):622-628.
- Ostrovskii LА. Automodulation of the Radiation from a Laser with a Two-mode Resonator. J. Exp. Theor. Phys. 1965;22(5):1053-1058.
- Fleck JА, Kidder RE. Stability of coupled-mode laser equations. J. Appl. Phys. 1965;36:2327-2328. DOI: 10.1063/1.1714480.
- Etrich C, Mandel P, Abraham NB, Zeglache H. Dynamics of two mode semiconductor laser. IEEE J. Quantum Electron. 1992;28(4):811-821. DOI: 10.1109/3.135198.
- Mandel P, Etrich C, Otsuka K. Laser rate equations with phase sensitive interaction. IEEE J. Quantum Electron. 1993;29(3):836-843. DOI: 10.1109/3.206567.
- Bielawsky S, Derozier D, Glorieux P. Antiphase dynamics and polarization effects in the Nd-doped fiber laser. Phys. Rev. A. 1992;46(5):2811-2822. DOI: 10.1103/PhysRevA.46.2811.
- Lamb WE(Jr). Theory оf an Optical Maser. Phys. Rev. 1964;134(6A):A1429-A1450. DOI: 10.1103/PhysRev.134.A1429.
- Suchkov АF. Effect of Inhomogeneities on the Operation Regime of Solid-state Lasers. J. Exp. Theor. Phys. 1966;22(5):1026-1031.
- Allakhverdyan RG, Oraevskii АN, Suchkov АF. Influence of waveguide properties of p-n transition on the generation of a GaAs-diode laser. Semiconductor Physics and Technology. 1970;4(2):341-346.
- Allakhverdyan RG, Oraevskii АN, Suchkov АF. Dynamics of a semiconductor laser with a refractive index depending on radiation intensity. Tech. Phys. 1970;42(2):341.
- Bracikowski C, Rajarshi Roy. Chaos in а multimode solid-state laser system. Chaos. 1991;1(1):49-64. DOI: 10.1063/1.165817.
- 123. Brunner W, Fischer R, Paul H. Regular and chaotic behavior of multimode lasers. JOSA B. 1985;2(1):202-210. DOI: 10.1364/JOSAB.2.000202.
- Melnikov LA, Rabinovich EM, Tuchin VV. Quasi-periodic oscillations and chaos in а gas discharge active mode-locked laser. JOSA B. 1988;5(5):1134-1138. DOI: 10.1364/JOSAB.5.001134.
- Victorov EA, Vitrishchak IВ, Novikov GE, Orlov ОА, Mak AA, Sokolov VA, Ustyugov VI, Khaleev MM. Instabilities and chaos in solid-state lasers as а result of mode coupling. In: Abraham NB, Garmire E, Mandel P, editors. OSA Proc. on Nonlinear Dynamics in Optical System. 1990. P. 410.
- Kovalenko SA. Dynamics of Generation of Multimode Broadband Lasers and Sensitivity of Intra-resonant Spectroscopy. PhD Thesis. M.: Physical Institute of the Academy of Sciences; 1991.
- Okulov AYu, Oraevsky AN. Space-Temporal Behavior of а Light Pulse in nonlinear nondispersive media. JOSA B. 1986;3(5):741-746. DOI: 10.1364/JOSAB.3.000741.
- Lugiato LA. Spatio-temporal structures. Pt. I. Phys. Rep. 1992;219(3-6):293-310. DOI: 10.1016/0370-1573(92)90144-O.
- Weiss CJ. Spatio-temporal structures. Part II. Vortices and defects in lasers. Phys. Rep. 1992;219(3-6):311-338. DOI: 10.1016/0370-1573(92)90145-P.
- Arecchi FT. Optical Morphogenesis: pattern formation and competition in nonlinear optics. Nuovo Chimento. A. 1994;107(7):1111-1144. DOI: 10.1007/BF02730861.
- Butler JK, Ackley DE, Botez D. Coupled-mode analysis of phase-locked injection laser arrays. Appl. Phys. Lett. 1984;44(3):293-295. DOI: 10.1063/1.94729.
- 132. Kapon E, Katz J, Yariv А. Supermode analysis of phase-locked arrays of semiconductor. Opt. Lett. 1984;9(4):125-127. DOI: 10.1364/ol.9.000125.
- Agraval GP. Lateral-mode analysis of gain-guided and index-giuded semiconductor-laser arrays. J. Appl. Phys. 1985;58(8):2922-2931. DOI: 10.1063/1.335840.
- Wang SS, Winful HG. Dynamics of phase-locked semiconductor laser arrays. Appl. Phys. Lett. 1988;52(22):1774-1776. DOI: 10.1063/1.99622.
- McNeil KJ, Drummond PD, Walls DF. Self pulsing in second harmonic generation. Opt. Comm. 1978;27(2):292-294. DOI: 10.1016/0030-4018(78)90383-8.
- Mandel P, Xiao-Guang Wu. Second-harmonic generation in a laser cavity. JOSA B. 1986;3(7):940-948. DOI: 10.1364/JOSAB.3.000940.
- Baer T. Large-amplitude fluctuation due to longitudial made coupling in diode-pumped intracavity-doubled Nd: YAG lasers. JOSA B. 1986;3(9):1175-1180. DOI: 10.1364/JOSAB.3.001175.
- Agabekyan AS, Grasyuk AZ, Zubarev ИG, Sbergun VI, Oraevskii АN. Stabilization of the unstable mode in a two-level quantum generator. Radio Engineering Electron. Phys. 1964;79(12):2156.
- Auerbach D, Cvitanovic Р, Eckmann J-P, Gunaratne G, Procaccia I. Exploring chaotic motion through periodic orbits. Phys. Rev. Lett. 1987;58(23):2387-2389. DOI: 10.1103/PhysRevLett.58.2387.
- Grebogi C, Ott E, Yorke JA. Unstable periodic orbits and the dimensions of multifractal chaotic attractors. Phys. Rev. А. 1988;37(5):1711-1724. DOI: 10.1103/PhysRevA.37.1711.
- Lima R, Pettini M. Suppression of Chaos by Resonant Parametric Perturbations. Phys. Rev. А. 1990;41(2):726-733. DOI: 10.1103/PhysRevA.41.726.
- Arimondo E, Casagrande F, Lugiato LA, Glorieux P. Repetitive passive Q-switching and bistability in lasers with saturable absorbers. Appl. Phys. B. 1983;30:57-77. DOI: 10.1007/BF00688479.
- Meucci R, Gadomski W, Ciofini M, Arecchi FT. Experimental control of chaos by means of weak parametric perturbations. Phys. Rev. E. 1994;49(4):R2528-R2531. DOI: 10.1103/physreve.49.r2528.
- Rajashi Roy. Controlling Chaotic Lasers. In: Nonlinear Dynamics in Optical Systems: Conference Digest. 5-7 June 1995, Rochester. Р. WA2.
- Dupertuis MA, Salomaa RRE, Siegrist MR. The Conditions for Lorentz chaos in the optically-pumped far-infrared laser. Opt. Comm. 1986;57(6):410-414. DOI: 10.1016/0030-4018(86)90220-8.
- Lawandy NM, Plant DV. On the experimental accessibility of the self- pulsing regime of the Lorentz model for single mode homogeneously broadened lasers. Opt. Comm. 1986;59(1):55-58. DOI: 10.1016/0030-4018(86)90046-5.
- Moloney JV, Uppal JS, Harrison RG. Origin of Chaotic Relaxation Oscillations in an Optically Pumped Molecular Laser. Phys. Rev. Lett. 1986;59(25):2868-2871. DOI: 10.1103/PhysRevLett.59.2868.
- Pujol J, Laguara F, Vilaseca R, Corbalan R. Influence of Pump Coherence on the Dynarmc Behavior of a Laser. JOSA В. 1988;5(5):1004-1010. DOI: 10.1364/JOSAB.5.001004.
- Khandokhin PA, Khanin Yal, Koryukin IV. Blfurcatlons and Chaos in the Three Level Model of Laser with Coherent Optical Pumping. Opt. Comm. 1988;65(5):367-372. DOI: 10.1016/0030-4018(88)90105-8.
- Forysiak W, Moloney JV, Harrison RG. Blfurcatlons of an optically Pumped Three-level Laser Model. Physica D. 1991;53(1):162-186. DOI: 10.1016/0167-2789(91)90170-E.
- Oraevskii AN, Sarkisyan TV, Jones DJ, Bandy DК. Dynamics of a monovelocity beam maser. Soviet J. Quantum Electron. 1992;22(3):213-215. DOI: 10.1070/QE1992v022n03ABEH003383.
- Casagrande F, Lugiato LA, Lange W, Walther H. Multistability in mesoscopic Rydberg-atom systems. Phys. Rev. A. 1993;48(1):790-802. DOI: 10.1103/PhysRevA.48.790.
- Bandy DK, Jons DJ, Grahem J, Oraevsky AN, Sarkisian TV. Dinamics of а monovelosity-atomic-beam maser in а semiclassical model. Phys. Rev. A. 1994;50(1):685-697. DOI: 10.1103/physreva.50.685.
- Oraevsky AN. Nonlinear Dynamics of Gas-Flow Lasers. In: 9-th International Symposium on Gas-Flow and Chemical Lasers, 21-25 September 1992, Heraklion, Crete, Greece.
- Bandy DK, Oraevsky AN, Tredicce JR. Introdaction. JOSA B. 1988;5(5):876-876. DOI: 10.1364/JOSAB.5.000876.
- Instabilities and dynamics of lasers and nonlinear optical systems. In: Technical Digest of International meeting. N.Y.; 1985.
- Nonlinear Dynamics in Optical Systems-1992. In: Technical Digest. 22-26 June, 1992, Alpbach, Austria.
- Abraham NB, Garmire E, Mandel P. Nonlinear Dynamics in Optical Systems. In: OSA Proc. Oklahoma, June 4-8, 1990, Afton.
- Nonlinear Dynamics in Lasers and Optical Systems. In: Proc. of SPIE. Vol. 2099. 1993. P. 162.
- Nonlinear Dynamics in Optical Systems. In: Conference Digest. 5-7 June 1995, Rochester.
Received:
21.03.1995
Accepted:
30.08.1995
Published:
05.06.1996
Journal issue:
- 270 reads