Existence of superposition solutions for pulse propagation in nonlinear resonant media

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 67, Issue 3, 2003, Pages

  Panigrahi, P K ^a,b   Agarwal, G S ^a  

^a PHYSICAL RESEARCH LABORATORY   (India)

^b UNIVERSITY OF HYDERABAD   (India)

Author keywords

[No Author keywords available]

Indexed keywords

DENSITY (OPTICAL); GROUND STATE; LASER PULSES; LIGHT INTERFERENCE; LIGHT PROPAGATION; MATHEMATICAL TRANSFORMATIONS; MAXWELL EQUATIONS; NONLINEAR EQUATIONS; OPTICAL VARIABLES CONTROL; QUANTUM OPTICS;

ATOMIC LEVELS; INTERFERENCE EFFECTS; JACOBIAN ELLIPTIC FUNCTIONS; NONLINEAR RESONANT MEDIA; PULSE PROPAGATION;

NONLINEAR OPTICS;

EID: 0038193857     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (47)

1. C.B. Whitham, Linear and Nonlinear Waves (Wiley, New York, 1974).
2. R. Jackiw, Rev. Mod. Phys. 49, 681 (1977).
3. S.L. McCall and E.L. Hahn, Phys. Rev. Lett. 18, 908 (1967).
4. H. Steudel, Physica D 155 (1983).
5. R. Grobe, F.T. Hioe, and J.H. Eberly, Phys. Rev. Lett. 73, 3183 (1994).
6. G.P. Agrawal, Nonlinear Fiber Optics (Academic Press, New York, 1989)
7. A. Hasegawa, Optical Solitons in Fibers (Springer-Verlag, Berlin, 1989).
8. D.J. Korteweg and G. de Vries, Philos. Mag. 39, 422 (1895).
9. L. Allen and J.H. Eberly, Optical Resonances and Two-Level Atoms (Dover, New York, 1987).
10. G.L. Lamb, Jr., Phys. Lett. A 25, 181 (1967).
11. G.L. Lamb, Jr., Rev. Mod. Phys. 43, 99 (1971).
12. M.J. Konopnicki and J.H. Eberly, Phys. Rev. A 24, 2567 (1981).
13. A. Rahman and J.H. Eberly, Phys. Rev. A 58, R805 (1998).
14. G.S. Agarwal and J.H. Eberly, Phys. Rev. A 61, 013404 (1999).
15. J.H. Eberly, Phys. Rev. Lett. 22, 760 (1969)
16. F.T. Arecchi, V. DeGiorgio, and S.G. Someda, Phys. Lett. A 27, 588 (1968)
17. M.D. Crisp, Phys. Rev. Lett. 22, 820 (1969).
18. T.W. Barnard, Phys. Rev. A 7, 373 (1973).
19. F.T. Hioe and R. Grobe, Phys. Rev. Lett. 73, 2559 (1994).
20. M.A. Newbold and G.J. Salamo, Phys. Rev. Lett. 42, 887 (1979).
21. J.L. Shultz and G.J. Salamo, Phys. Rev. Lett. 78, 855 (1997).
22. A.I. Maimistov, A.M. Basharov, S.O. Elyutin, and Yu.M. Sklyarov, Phys. Rep. 191, 1 (1990).
23. A.V. Andreev, JETP 86, 412 (1998).
24. A. Das, Integrable Models (World Scientific, Singapore, 1989)
25. P.G. Drazin and R.S. Johnson, Solitons: An Introduction (Cambridge University Press, Cambridge, 1989).
26. H. Hancock, Theory of Elliptic Functions (Dover, New York, 1958)
27. M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (National Bureau of Standards, U.S. Government Printing Office, 1964).
28. A. Khare and U. Sukhatme, J. Math. Phys. 43, 3798 (2002).
29. A. Khare and U. Sukhatme, e-print math-ph/0204054.
30. A. Khare, A. Lakshminarayan, and U. Sukhatme, e-print math-ph/0207019.
31. A. Khare and U. Sukhatme, Phys. Rev. Lett. 88, 244101 (2002).
32. S.L. McCall and E.L. Hahn, Phys. Rev. 183, 457 (1969).
33. S.E. Harris, Phys. Today 50(7), 36 (1997).
34. L.A. Bol'shov, N.N. Elkin, V.V. Likhanskii, and M.I. Persiantsev, Sov. Phys. JETP 61, 27 (1985).
35. G. Vemuri and G.S. Agarwal, Phys. Rev. Lett. 79, 3889 (1997).
36. L.A. Bol'shov, N.N. Elkin, V.V. Likhanskii, and P.A. Napartovich, Sov. J. Quantum Electron. 12, 941 (1982)
37. L.A. Bol'shov and V.V. Likhanskii, ibid, 15, 889 (1985).
38. A.M. Basharov and A.I. Maimistov, Sov. Phys. JETP 67, 2426 (1988).
39. H. Steudel, J. Mod. Opt. 35, 693 (1988)
40. Q.-H. Park and H.J. Shin, Phys. Rev. A 57, 4643 (1998).
41. J.H. Eberly and V.V. Kozlov, Phys. Rev. Lett. 88, 243604 (2002).
42. C. Liu, Z. Dutton, C.H. Behroozi, and L.V. Hau, Nature (London) 409, 490 (2001)
43. D.E. Phillips, A. Fleischhauer, A. Mair, R.L. Walsworth, and M.D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
44. T.N. Dey and G.S. Agarwal, e-print quant-ph/0209099.
45. W. Teich and G. Mahler, Complexity, Entropy and the Physics of Information, edited by W. Zurek, SFI Studies in Sciences of Complexity, Vol. VIII (Addison-Wesley, Reading, MA, 1990), p. 289.
46. L. Matulic, P.W. Milonni and J.H. Eberly, Opt. Commun. 4, 181 (1971)
47. L. Matulic and J.H. Eberly, Phys. Rev. A 6, 822,1258 (1972).