Quantum gap solitons and soliton pinning in dispersive medium and photonic-band-gap materials: Bethe-ansatz solution

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 54, Issue 4, 1996, Pages 3614-3625

  Rupasov, Valery I ^a   Singh, M ^a  

^a UNIVERSITY OF WESTERN ONTARIO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 11744324011     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.54.3614     Document Type: Article

References (26)

1. E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
2. S. John, Phys. Rev. Lett. 58, 2486 (1987).
3. E. Yablonovitch, T. J. Grimmer and K. M. Leung, Phys. Rev. Lett. 67, 2295 (1991).
4. For a review, see S. M. de Sterke and J. E. Sipe, in Progress in Optics, edited by E. Wolf (North-Holland, Amsterdam, 1994), Vol. XXXIII, p. 203.
5. For a recent review, see the articles in Photonic Bandgaps and Localization, edited by C. Soukoulis (Plenum, New York, 1993); and in J. Opt. Soc. Am. B 10 (2) (1993), special issue on development and applications of materials exhibiting photonic band gaps, edited by C. M. Bowden, J. P. Dowling, and H. O. Everitt; J. Mod. Opt. 41 (2) (1994), special issue on photonic band structures, edited by G. Kurizki and J. W. Haus.
6. L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media (Pergamon Press, Oxford, 1984).
7. V. M. Agranovich and V. L. Ginzburg, Crystal Optics with Spatial Dispersion, and Excitons (Springer-Verlag, Berlin, 1984).
8. See also V. I. Rupasov and M. Singh, Phys. Rev. Lett. 77, 338 (1996);
9. J. Phys. A 29, L205 (1996) Phys. Lett. A (to be published).
10. L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Wiley, New York, 1975).
11. V. I. Rupasov, Pis'ma Zh. Éksp. Teor. Fiz. 36, 115 (1982) [JETP Lett. 36, 142 (1982)];
12. Zh. Éksp. Teor. Fiz. 83, 1711 (1982) [Sov. Phys. JETP 56, 989 (1982)].
13. V. I. Rupasov and V. I. Yudson, Zh. Éksp. Teor. Fiz. 86, 819 (1984) [Sov. Phys. JETP 59, 478 (1984)];
14. V. I. Rupasov and V. I. Yudson, Zh. Éksp. Teor. Fiz. 86, 819 (1984) [Sov. Phys. JETP 87, 1617 (1984) [60, 927 (1984)].
15. V. Ya. Chernyak and V. I. Rupasov, Phys. Lett. 114A, 77 (1986).
16. H. B. Thacker, Rev. Mod. Phys. 53, 253 (1981).
17. A. M. Tsvelick and P. B. Wiegmann, Adv. Phys. 32, 453 (1983).
18. N. Andrei, K. Furuya and J. H. Lowenstein, Rev. Mod. Phys. 55, 331 (1983).
19. R. J. Baxter, Exactly Solved Models in Statistical Mechanics (Academic Press, London, 1982).
20. L. D. Landau and E. M. Lifshitz, Quantum Mechanics (Pergamon Press, Oxford, 1984).
21. V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Quantum Electrodynamics (Pergamon Press, Oxford, 1982).
22. V. M. Agranovich, Theory of Excitons (Nauka, Moscow, 1968).
23. A. S. Davydov, Theory of Molecular Excitons (Plenum, New York, 1971).
24. S. John and J. Wang, Phys. Rev. Lett. 64, 2418 (1990);
25. S. John and J. Wang, Phys. Rev. B 43, 12t772 (1991).
26. In empty space, the variable τ can be treated as a coordinate along an arbitrary axis passing through the origin of the coordinate system. The vicinities τ<0 and τ>0 correspond to ingoing and outgoing spherical harmonics, respectively 14,15,11.