УДК: 535.21, 538.958, 621.373.826
Anomalous refraction of an ultrashort light pulse at a nonlinear interface of dielectric media
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Маймистов А.И., Габитов И.Р. Аномальное преломление ультракороткого импульса света на нелинейной границе раздела диэлектрических сред // Оптический журнал. 2015. Т. 82. № 11. С. 15–23.
Maymistov A.I., Gabitov I.R. Anomalous refraction of an ultrashort light pulse at a nonlinear interface of dielectric media [in Russian] // Opticheskii Zhurnal. 2015. V. 82. № 11. P. 15–23.
A. I. Maĭmistov and I. R. Gabitov, "Anomalous refraction of an ultrashort light pulse at a nonlinear interface of dielectric media," Journal of Optical Technology. 82(11), 727-733 (2015). https://doi.org/10.1364/JOT.82.000727
This paper discusses the refraction of an ultrashort pulse of an electromagnetic field at a nonlinear interface of dielectric media. The nonlinearity is caused by the presence of a thin film of resonance-absorbing atoms. When local-field effects are negligible, the system of model equations is completely integrable, and this makes it possible to find an exact solution. It is shown that the refracted pulse breaks up into several solitons, whose number depends on the angle of incidence.
optical solitons, thin film, two-level atoms, inverse-scattering problem method, refraction
Acknowledgements:This study was carried out with the support of the Russian Scientific Foundation (Project No. 14-22-00098).
OCIS codes: 270.5530, 240.0310, 190.7110
References:1. V. I. Rupasov and V. I. Yudson, “Boundary-value problems in nonlinear optics of resonant media,” Sov. J. Quantum Electron. 12, 1415 (1982) [Kvant. Elektron. (Moscow) 9, 2179 (1982)].
2. Y. Ben-Aryeh, C. M. Bowden, and J. C. Englund, “Intrinsic optical bistability in collections of spatially distributed two-level atoms,” Phys. Rev. A 34, 3917 (1986).
3. P. N. Prasad, “Non-linear optical effects in thin organic polymeric films,” Thin Solid Films 152, 275 (1987).
4. M. G. Benedict and E. D. Trifonov, “Coherent reflection as superradiation from boundary of a resonant medium,” Phys. Rev. A 38, 2854 (1988).
5. K. L. Stokes and A. Puri, “Mirrorless optical bistability in a nonlinear absorbing dielectric film,” Opt. Lett. 15, 986 (1990).
6. M. G. Benedikt, A. I. Zaı˘tsev, V. A. Malyshev, and E. D. Trifonov, “Resonance interaction of an ultrashort light pulse with a thin film,” Opt. Spectrosc. (USSR) 66, 424 (1989) [Opt. Spektrosk. 66, 726 (1989)].
7. A. I. Zaı˘tsev, I. V. Ryzhov, E. D. Trifonov, and V. A. Malyshev, “Inversionless superradiance of a thin layer of three-level atoms: Effect of the local field,” Opt. Spectrosc. 87, 755 (1999) [Opt. Spektrosk. 87, 827 (1999)].
8. A. I. Zaı˘tsev, I. V. Ryzhov, E. D. Trifonov, and V. A. Malyshev, “Inversionless superradiance in a thin layer of three-level atoms: inducing coherence by a low-frequency external field,” Opt. Spectrosc. 87, 956 (1999) [Opt. Spektrosk. 87, 1045 (1999)].
9. A. M. Basharov, “Thin film of resonance atoms—a simple model of optical bistability and self-pulsation,” Sov. Phys. JETP 67, 1741 (1988) [Zh. Eksp. Teor. Fiz. 94, No. 9, 12 (1988)].
10. M. G. Benedikt, A. I. Zaı˘tsev, V. A. Malyshev, and E. D. Trifonov, “Mirrorless bistability when an ultrashort light pulse is transmitted through a thin film with two-level resonance centers,” Opt. Spectrosc. (USSR) 68, 473 (1990) [Opt. Spektrosk. 68, 812 (1990)].
11. Yu. A. Logvin, A. M. Samson, and S. I. Turovets, “Instabilities and chaos in a bistable thin film of two-level atoms,” Sov. J. Quantum Electron. 20, 1425 (1990) [Kvant. Elektron. (Moscow) 17, 1521 (1990)].
12. M. Benedict, V. A. Malysheev, E. D. Trifonov, and A. I. Zaitsev, “Reflection and transmission of ultrashort light pulses through a thin resonant medium: local field effects,” Phys. Rev. A 43, 3845 (1991).
13. V. A. Malyshev, I. V. Ryzhov, E. D. Trifonov, and A. I. Zaitsev, “Superradiance from a thin solid film of three-level atoms: local-field effects,” Opt. Commun. 180, Nos. 1–3, 59 (2000).
14. É. Vanagas and A. I. Maı˘mistov, “Reflection of ultrashort light pulses from a nonlinear interface between dielectric media,” Opt. Spectrosc. 84, 258 (1998) [Opt. Spektrosk. 84, 301 (1998)].
15. A. M. Basharov, A. I. Maı˘mistov, and S. O. Elyutin, “Two-photon interaction of coherent radiation with a thin film of resonant atoms,” JETP 88, 16 (1999) [Zh. Eksp. Teor. Fiz. 115, No. 1, 30 (1999)].
16. V. I. Rupasov and V. I. Yudson, “Nonlinear resonance optics of thin films. The reverse task method,” JETP 66, 282 (1987) [Zh. Eksp. Teor. Fiz. 93, 494 (1987)].
17. V. E. Zakharov, S. V. Manakov, S. P. Novikov, and L. P. Pitaevskiı˘, The Theory of Solitons. The Inverse-Problem Method (Nauka, Moscow, 1980).
18. M. Ablovits and Kh. Sigur, Solitons and the Inverse-Problem Method (Mir, Moscow, 1987).
19. A. M. Basharov, A. I. Maı˘mistov, and É. A. Manykin, “Exactly integrable models of a resonance interaction of light with a thin film of three-level particles,” Sov. Phys. JETP 70, 864 (1990) [Zh. Eksp. Teor. Fiz. 97, 1530 (1990)].
20. E. Vanagas, “Bistability in a thin film of semiconductor superlattice,” Lithuania Phys. J. 32, 371 (1992).
21. Th. G. Pedersen, K. Pedersen, and Th. B. Kristensen, “Theory of second-harmonic generation from quantum well states in ultrathin metal films on semiconductors,” Phys. Rev. B 61, 10255 (2000).
22. P. I. Khadzhi and L. V. Fedorov, “Interaction of light with a semiconductor thin film, taking into account concentration gain of the dipole moment of the excitonic transition,” Tech. Phys. 45, 1296 (2000) [Zh. Tekh. Fiz. 70, No. 10, 65 (2000)].
23. V. I. Yudson and P. Reineker, “Excitonic effects in dense media: breakdown of intrinsic optical bistability,” Phys. Lett. A 196, 371 (1995).
24. J.-G. Caputo, E. V. Kazantseva, and A. I. Maimistov, “Electromagnetically induced switching of ferroelectric thin films,” Phys. Rev. B 77, 014113 (2007).
25. G. Vizdrik, S. Ducharme, V. M. Fridkin, and S. G. Yudin, “Kinetics of ferroelectric switching in ultrathin films,” Phys. Rev. B 68, 094113 (2003).
26. J.-G. Caputo, A. I. Maimistov, E. D. Mishina, E. V. Kazantseva, and V. M. Mukhortov, “High-frequency polarization switching of a thin ferroelectric film,” Phys. Rev. B 82, 094113 (2010).
27. J.-G. Caputo, E. V. Kazantseva, and A. I. Maimistov, “Fast electromagnetic response of a thin film of resonant atoms with permanent dipole,” J. Phys. A 43, 015206 (2010).
28. A. V. Yulin, D. V. Skryabin, and P. St. J. Russell, “Dissipative localized structures of light in photonic crystal films,” Opt. Express 13, 3529 (2005).
29. N. M. Litchinitser, I. R. Gabitov, A. I. Maimistov, and V. M. Shalaev, “Effect of an optical negative refractive index thin film on optical bistability,” Opt. Lett. 32, 151 (2007).
30. N. Lazarides and G. P. Tsironis, “RF superconducting quantum interference device metamaterials,” Appl. Phys. Lett. 90, 163501 (2007).
31. A. I. Maimistov and I. R. Gabitov, “Nonlinear response of a thin metamaterial film containing Josephson junctions,” Opt. Commun. 283, 1633 (2010).
32. P. Jung, S. Butz, S. V. Shitov, and A. V. Ustinov, “Low-loss tunable metamaterials using superconducting circuits with Josephson junctions,” Appl. Phys. Lett. 102, 62601 (2013).
33. J.-G. Caputo, I. Gabitov, and A. Maimistov, “Polarization rotation by an rf-SQUID metasurface,” Phys. Rev. B 91, 115430 (2015).
34. C. Wu and G. Shvets, “Design of metamaterial surfaces with broadband absorbance,” Opt. Lett. 37, 308 (2012).
35. L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, New York, 1987; Mir, Moscow, 1978).
36. A. I. Maimistov and A. M. Basharov, Nonlinear Optical Waves (Kluwer Academic, Dortrecht, 1999).
37. T. Tamir, ed., Integrated Optics (Mir, Moscow, 1978; Springer Verlag, New York, 1979).