Interferences of real trajectories and the emergence of quantum features in electron-atom scattering in a strong laser field

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 73, Issue 3, 2006, Pages

  Cerkic A ^a   Milosevic D B ^b,c  

^a Federal Meteorological Institute   (Bosnia and Herzegovina)

^b UNIVERSITY OF SARAJEVO   (Bosnia and Herzegovina)

^c MAX BORN INSTITUT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRON SPECTRUM; ELECTRON-ATOM SCATTERING; LASER FIELDS;

APPROXIMATION THEORY; ELECTRON SCATTERING; LASER BEAM EFFECTS; QUANTUM THEORY; SPECTRUM ANALYSIS;

TRAJECTORIES;

EID: 33644925903     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.73.033413     Document Type: Article

References (35)

1. W. Becker, F. Grasbon, R. Kopold, D. B. Milošević, G. G. Paulus, and H. Walther, Adv. At., Mol., Opt. Phys. AAMPE9 1049-250X 48, 35 (2002).
2. D. B. Milošević and F. Ehlotzky, Adv. At., Mol., Opt. Phys. AAMPE9 1049-250X 49, 373 (2003).
3. A. Becker and F. H. M. Faisal, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/38/3/R01 38, R1 (2005).
4. L. V. Keldysh, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 47, 1945 (1964)
5. L. V. Keldysh, [Sov. Phys. JETP SPHJAR 0038-5646 20, 1307 (1965)].
6. For the pioneering work about the so-called three-step model see, for example, P. B. Corkum, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71. 1994 71, 1994 (1993), for high-order harmonic generation;
7. and G. G. Paulus, W. Becker, W. Nicklich, and H. Walther, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/27/21/003 27, L703 (1994), for high-order above-threshold ionization.
8. P. Salières, B. Carré, L. Le Déroff, F. Grasbon, G. G. Paulus, H. Walther, R. Kopold, W. Becker, D. B. Milošević, A. Sanpera, and M. Lewenstein, Science SCIEAS 0036-8075 10.1126/science.108836 292, 902 (2001).
9. D. B. Milošević, D. Bauer, and W. Becker, J. Mod. Opt. JMOPEW 0950-0340 53, 125 (2006).
10. F. Ehlotzky, A. Jaroń, and J. Z. Kamińsky, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(97)00075-6 297, 63 (1998).
11. G. G. Paulus, F. Lindner, H. Walther, A. Baltuška, E. Goulielmakis, M. Lezius, and F. Krausz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.253004 91, 253004 (2003).
12. D. B. Milošević, G. G. Paulus, and W. Becker, Opt. Express OPEXFF 1094-4087 11, 1418 (2003);
13. D. B. Milošević, G. G. Paulus, and W. Becker, Laser Phys. Lett. LPLABC 1612-2011 10.1002/lapl.200310027 1, 93 (2004).
14. D. B. Milošević, G. G. Paulus, and W. Becker, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.061404
15. A. Čerkić and D. B. Milošević, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.053402 70, 053402 (2004);
16. A. Čerkić and D. B. Milošević, Laser Phys. LAPHEJ 1054-660X 15, 268 (2005).
17. See also N. L. Manakov, A. F. Starace, A. V. Flegel, and M. V. Frolov, Pis'ma Zh. Eksp. Teor. Fiz. PZETAB 0370-274X 76, 316 (2002)
18. N. L. Manakov, A. F. Starace, A. V. Flegel, and M. V. Frolov, [JETP Lett. JTPLA2 0021-3640 10.1134/1.1520617 76, 258 (2002)];
19. A. V. Flegel, M. V. Frolov, N. L. Manakov, and A. F. Starace, Phys. Lett. A PYLAAG 0375-9601 334, 197 (2005)
20. There are various generalizations of the first Born approximation that include the higher-order terms of the Born expansion in the scattering potential V (r). For example, this is the well-known low-frequency approximation: N. M. Kroll and K. M. Watson, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.8.804 8, 804 (1973).
21. For its generalization and explicit calculations see: D. B. Milošević, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/28/9/022 28, 1869 (1995);
22. D. B. Milošević, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/30/22/020 30, 5251 (1997). However, such Born expansions in V (r) are different from our SFA theory. In particular, they do not lead to the rescattering plateau observed in.
23. M. V. Frolov, N. L. Manakov, E. A. Pronin, and A. F. Starace, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.053003 91, 053003 (2003);
24. D. Bauer, D. B. Milošević, and W. Becker, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.023415 72, 023415 (2005);
25. B. Bergues, Y. Ni, H. Helm, and I. Yu. Kiyan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.263002 95, 263002 (2005).
26. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1964).
27. F. V. Bunkin and M. V. Fedorov, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 49, 1215 (1965)
28. F. V. Bunkin and M. V. Fedorov, [Sov. Phys. JETP SPHJAR 0038-5646 22, 844 (1965)].
29. N. Bleistein and R. A. Handelsman, Asymptotic Expansions of Integrals (Dover, New York, 1986).
30. V. A. Borovikov, Uniform Stationary Phase Method (The Institution of Electrical Engineers, London, 1994).
31. F. Lindner, M. G. Schätzel, H. Walther, A. Baltuška, E. Goulielmakis, F. Krausz, D. B. Milošević, D. Bauer, W. Becker, and G. G. Paulus, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.040401 95, 040401 (2005).
32. It is difficult to calculate the partial contributions of these solutions since both the stationary phase and the uniform approximation for the case of two coalescing points fail. In the case of three close stationary points the results can be expressed in terms of the Piercey integral.
33. C. Figueira de Morisson Faria, H. Schomerus, and W. Becker, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.043413 66, 043413 (2002).
34. D. B. Milošević and W. Becker, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.063417 66, 063417 (2002);
35. S. Odžak and D. B. Milošević, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.033407 72, 033407 (2005).