Abstract
A thin film of resonant atoms with a thickness much less than the wavelength of incident light represents a very comprehensive model for studies of nonlinear surface waves [1,2] (see section 3.3) and nonlinear reflection of ultrashort optical pulses [3–5], which can be treated analytically. These phenomena are typical for Hamiltonian systems. Moreover, the model of a thin film of resonant atoms makes it possible to deal also with another class of nonlinear optical phenomena associated with nontrivial dynamics of open dissipative systems. The most familiar phenomena of this kind are optical bistability [6,7] and spontaneous pulsations (self-pulsations) [6,8]. The various types of coherent transients exhibiting new interesting peculiarities appear in the field of interactions of resonant light pulses with thin films [9–19]. On the other hand., thin film is a simple example of low dimensional systems attracting great attention in the last years.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Agranovich, V.M., Rupasov, V.I., and Chernyak, V.Y.: Self-induced transparency of surface polaritons,. Pis ‘ma Zh.Eksp.Teor.Fiz. 33 (1981), 196–199 [JETP Lett. 33 (1981), 185].
Agranovich, V.M., Chernyak, V.Y., and Rupasov, V.I.: Self-induced transparency in wave guides, Opt.Commun. 37 (1981), 363–365.
Rupasov, V.I.. and Yudson, V.I.: On the boundary problems of nonlinear optics of resonant media, Kvant.Elektron. 9(1982), 2179–2186 [Sov.J.Quantum Electron. 12 (1982) 415–419].
Rupasov. V.I., and Yudson, V.I.: Nonlinear resonant optics of thin films: the method of inverse scattering transformation, Zh.Eksp.Teor.Fiz. 93 (1987), 494–499 [Sov.Phys. JETP 66 (1987), 282–285].
Basharov, A.M., Maimistov, A.I., and Manykin, E.A.: Exactly integrable models of resonant interaction of light with a thin film of three-level particles, Zh.Eksp.TeorFz. 97 (1990), 1530–1543 [Sov.Phys. JETP 70 (1990), 864–871].
Basharov, A.M.: Thin film of resonant atoms: a simple model of optical bistability and self-pulsation, Zh.Eksp.Teor.Fiz. 94 (1988), 12–18 [Sov.Phys. JETP 67 (1988), 1741–1744].
Benedict, M.G., Zaitsev, A.I., Malysheev, V.A., and Trifonov, E.D.: Resonatorless bistability by ultrashort pulse transmission through thin layer with resonant two-level centers, Opt. Spektrosk. 68 (1990), 812–817 [Opt.Spectrosc. 68 (1990), 473–476].
Logvin, Yu.A., Samson, A.M., and Turovets, S.I.: Instabilities and chaos in bistable thin film of two-level atoms, Kvant.Elektron.17 (1990), 1521–1524 [Sov.J.Quantum Electron. 20 (1982) 1425–1427].
Samson, A.M., Logvin, Yu.A., and Turovets, S.I.: Interaction of short light Dulses with inverted thin film of resonant atoms, Kvant.Elektron. 17 (1990), 1223–1226.
Lambruschini, C.L.P.: Cooperative effects in a physically adsorbed monolayer of two-level atoms, J.Mod.Opt. 37 (1990), 1175–1183.
Benedict, M.G., Malysheev, V.A., Trifonov. E.D., and Zaitsev, A.I.: Reflection and transmision of ultrashort light pulses through a thin resonant medium: local-field effects, Phys. Rev. A 43 (1991), 3845–3853.
Samson, A.M., Logvin, Yu.A., and Turovets, S.I.: Induced superradiance in a thin film of two-level atoms, Opt.Commun. 78, (1990), 208–212.
Kaup, D.J., and Malomed, B.A.: The resonant three-wave interaction in the an inhomogeneous medium, Phys.Lett. A 169 (1992), 335–340.
Zacharov, S.M., and Manykin, E.A.: Spatially synchronism of photon echo in thin resonant layer at the boundary of two media, Opt. Spektrosk. 63 (1987), 1069–1072.
Zacharov, S.M., and Manykin, E.A.: Interaction of ultrashort light pulses with thin film of surface atoms at two-photon resonance, Zh.Eksp.Teor.Fiz. 95 (1989), 800–806.
Zakharov, S.M., and Manykin, E.A.: Nonlinear interaction of light with thin film of surface atoms, Zh.Eksp.Teor.Fiz. 105 (1994), 1053–1065.
Khadzhi, P.I., and Gaivan, S.L.: Nonlinear interaction of ultrashort light pulses with a thin semiconductor film at two-photon excitation of excitons, Kvant.Elektron. 22 (1995), 929–935.
Khadzhi, P.I., and Gaivan, S.L.: Nonlinear transmission of light by a thin semiconductor film in the exciton resonance region, Kvant.Elektron. 24(1997), 546–550 [Sov.JQuantum Electron. 27 (1997) 532–535].
Vanagas, E., and Maimistov, A.I.: The reflection of ultrashort light pulses from nonlinear boundary of two dielectric media, Opt. Spektrosk. 84 (1998), 301–306.
Ben-Aryeh, Y., Bowden, C.M., and Englund, J.C.: Intrinsic optical bistability in collections of spatially distributed two-level atoms. Phys.Rev. A 34 (1986), 3917–3926.
Basharov, A.M.: Photonics: Self-pulsation and chaos in optical systems, Engineering-Physics Institute, Moscow, 1987.
Gibbs, H.M.: Optical bistability-controlling light with light, Academic Press, New York, 1985.
Collet, P., and Eckmann, J.P.: Iterated maps on the interval as dynamical systems, Birkhauser, Boston, 1980.
Schuster, H.G.: Deterministic chaos, Physik-Verlag, Weinheim, 1984.
Carmichael, H.J.: Optical bistability and multimode instabilities, Phys.Rev.Lett. 52 (1984) 1292–1295.
Basharov, A.M.: Optical bistability of a thin film of resonant atoms Ma phase-sensitive thermostat, Zh.Eksp.Teor.Fiz. 108 (1995), 842-850 [Sov.Phys. JETP 81 (1995), 459–463].
Gadomsky, O.N., Krutitsky, K.V.: Near-field effect in surface optics, JOSA B 13 (1993) 1679–1691.
Gadomsky, O.N., Krutitsky, K.V.: Near-field effect and spatial distribution of spontaneous photons near surface, Zh.Eksp.Teor.Fiz. 106 (1994), 936–955 [Sov.Phvs. JETP 79 (1994), 513–523].
Gadomsky, O.N., Krutitsky, K.V., and Gadomskia, LV.: The effect of near field in surface optics, Opt. Spektrosk. 84 (1998), 780–785.
Mantsyzov, B.I., Kuz’min, R.N.: Coherent interaction of light with discrete periodic resonant medium, Zh.Eksp.Teor.Fiz. 91 (1986), 65–77 [Sov.Phys. JETP 64 (1986), 37–46].
Mantsyzov, B.I.: Gap 27t-pulse with inhomogeneous broadening line and oscillating solitary wave, Phys.Rev.A 51 (1995) 4939–4947.
Chen, W., and Mills, D.I,.: Gap solitons and nonlinear optical response of superlattices, Phys.Rev.Leu. 58 (1987) 160–163.
Peschel, T., Peschel, U., and Lederer, F.: Bistability and symmetry breaking in distributed coupling of counterpropagating beams into nonlinear waveguides, Phys.RevA 50 (1994) 5153–5163.
Logvin, Yu.A.: Nonreciprocal optical patterns due to symmetry breaking, Phys.Rev.A 57 (1998) 12191222.
Neset, A, and Sajeev, J.: Optical solitary waves in two-and three-dimensional nonlinear photonic band gap structures, Phys.Rev. E 57 (1998), 2287–2320.
Conti, C., Trillo, S., and Assanto, G.: Optical gap solitons via second-harmonic generation: exact solitary solutions, Phys.Rev. E 57 (1998), R1251 - R1255.
Zakharov, S.M., and Goriachev, V.A.: Dynamic of ultrashort pulse propagation through thin film’s resonator structure, Kvant.Elektron. 24 (1997), 193–208.
Logvin, Yu.A., Samson, A.M.: Light transmission through a system of two bistable thin films, Zh.Eksp.Teor.Fiz. 102 (1992), 472-481 [Sov.Phys. JETP 75 (1990), 250–257].
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Maimistov, A.I., Basharov, A.M. (1999). Thin Film of Resonant Atoms: A Simple Model of Nonlinear Optics. In: Nonlinear Optical Waves. Fundamental Theories of Physics, vol 104. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2448-7_9
Download citation
DOI: https://doi.org/10.1007/978-94-017-2448-7_9
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5238-4
Online ISBN: 978-94-017-2448-7
eBook Packages: Springer Book Archive