Fifth-order coherent light scattering: Extension of the Kramers-Heisenberg expression for light scattering and two-dimensional measurement of vibrational dynamics

Journal of Chemical Physics

Volumn 109, Issue 15, 1998, Pages 6227-6236

  Cho, Minhaeng ^a  

^a Korea University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

CHEMICAL REACTIONS; CHROMOPHORES; EIGENVALUES AND EIGENFUNCTIONS; ELECTROMAGNETIC FIELDS; ELECTRON TRANSITIONS; MOLECULAR DYNAMICS; MOLECULAR STRUCTURE; MOLECULAR VIBRATIONS; NONLINEAR OPTICS; PHOTONS; QUANTUM THEORY; REFRACTIVE INDEX;

DIRAC DELTA FUNCTION; FIFTH ORDER COHERENT LIGHT SCATTERING; FIFTH ORDER TWO DIMENSIONAL RAMAN SCATTERING; KRAMERS-HEISENBERG EXPRESSION; NONLINEAR OPTICAL SCATTERING; RADIATIVE TRANSITION;

RAMAN SCATTERING;

EID: 0032531517     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.477263     Document Type: Article

References (44)

1. N. Bloembergen, Nonlinear Optics (Benjamin, New York, 1965).
2. Y. R. Shen, The Principles of Nonlinear Optics (Wiley, New York, 1984).
3. S. Mukamel, Principles of Nonlinear Optical Spectroscopy (Oxford, New York, 1995).
4. R. Loudon, The Quantum Theory of Light (Oxford, New York, 1991).
5. D. McMorrow, W. T. Lotshaw, and G. A. Kenney-Wallace, IEEE J. Quantum Electron. 24, 443 (1988);
6. D. McMorrow and W. T. Lotshaw, J. Phys. Chem. 95, 10,395 (1991).
7. S. Ruhman, A. G. Joly, and K. A. Nelson, J. Chem. Phys. 86, 6563 (1987);
8. IEEE J. Quantum Electron. 24, 460 (1988);
9. Y. X. Yan and K. A. Nelson, J. Chem. Phys. 87, 6240, 6257 (1987);
10. T. Hattori and T. Kobayashi, 94, 3332 (1991);
11. Y. J. Chang, P. Cong, and J. D. Simon, J. Phys. Chem. 99, 7857 (1995);
12. P. Vohringer and N. F. Scherer, 99, 2684 (1995).
13. M. Cho, M. Du, N. F. Scherer, and G. R. Fleming, J. Chem. Phys. 99, 2410 (1993).
14. Y. J. Chang and E. W. Castner, Jr., J. Chem. Phys. 99, 113, 7289 (1993).
15. H. P. Duel, P. Cong, and J. D. Simon, J. Phys. Chem. 98, 12,600 (1994).
16. S. Palese, J. T. Buontempo, L. Schilling, W. T. Lotshaw, Y. Tanimura, S. Mukamel, and R. J. D. Miller, J. Phys. Chem. 98, 12,466 (1994).
17. Y. Tanimura and S. Mukamel, J. Chem. Phys. 99, 9496 (1993).
18. (a) K. Okumura and Y. Tanimura, J. Chem. Phys. 106, 1687 (1997);
19. 107, 2267 (1997);
20. (b) K. Okumura and Y. Tanimura, Chem. Phys. Lett. 277, 159 (1997);
21. 278, 175 (1997);
22. (c) S. Saito and I. Ohmine, J. Chem. Phys. 108, 240 (1998).
23. T. Steppen, J. T. Fourkas, and K. Duppen, J. Chem. Phys. 105, 7364 (1996).
24. V. Khidekel and S. Mukamel, Chem. Phys. Lett. 240, 304 (1995).
25. M. Cho, K. Okumura, and Y. Tanimura, J. Chem. Phys. 108, 1326 (1998);
26. M. Cho, ibid. (in press). In the above paper, the frequency-domain transformation of the time-domain 2D Raman scattering spectroscopy was discussed. However, a certain time order of the emission interactions was assumed. That is to say, the final emission interaction was assumed to be that with the spontaneous emission of the fifth-order coherent Raman scattering field. In the present paper we take into account all possible time orderings.
27. K. Tominaga and K. Yoshihara, Phys. Rev. Lett. 76, 987 (1996);
28. J. Chem. Phys. 104, 1159, 4419 (1996);
29. Phys. Rev. Lett. 74, 3061 (1996);
30. K. Tominaga, G. R. Keogh, Y. Naitoh, and K. Yoshihara, J. Raman Spectrosc. 26, 495 (1995).
31. A. Tokmakoff and G. R. Fleming, J. Chem. Phys. 106, 2569 (1997).
32. T. Steffen and K. Duppen, J. Chem. Phys. 106, 3854 (1997);
33. Phys. Rev. Lett. 76, 1224 (1996).
34. A. Lau, M. Pfeiffer, and A. Kummrow, Chem. Phys. Lett. 263, 435 (1996).
35. (a) A. Tokmakoff, M. J. Lang, D. S. Larsen, and G. R. Fleming, Chem. Phys. Lett. 272, 48 (1997);
36. (b) A. Tokmakoff, M. J. Lang, D. S. Larsen, G. R. Fleming, V. Chernyak, and S. Mukamel, Phys. Rev. Lett. 79, 2702 (1997).
37. In the literature, this type of higher-order scattering was named as coherent higher-order Raman excitation spectroscopy (CHORES) (see Refs. 24 and 25). However, in order to emphasize the two-dimensional nature of the scattering process, we find it useful to rename it as coherent two-dimensional Raman scattering (COTRAS).
38. C. Cohen-Tannoudji, J. Dupont-Roc, and G. Grynberg, Photons and Atoms, Introduction to Quantum Electrodynamics (Wiley, New York, 1989);
39. D. P. Craig and T. Thirunamachandran, Molecular Quantum Electrodynamics, An Introduction to Quantum Electrodynamics (Academic, London, 1984).
40. E. A. Power and S. Zienau, Philos. Trans. R. Soc. London, Ser. A 251, 427 (1959).
41. J. E. Ivanecky, III, and J. C. Wright, Chem. Phys. Lett. 206, 437 (1993);
42. I. Chabay, G. K. Klauminzer, and B. S. Hudson, Appl. Phys. Lett. 28, 27 (1976);
43. E. Yablonovitch, C. Flytzanis, and N. Bloembergen, Phys. Rev. Lett. 29, 865 (1972).
44. D. J. Ulness, J. C. Kirkwood, and A. C. Albrecht, J. Chem. Phys. 108, 3897 (1998).