Abstract

A theoretical and experimental study is presented of the effect of stimulated radiation pressure (SRP) under the conditions of strong saturation of the resonance transition when the interaction times between the atom and the field are short (shorter than the radiative lifetime). An experimental method for studying the scattering of an atomic beam by the field of a standing light wave is described. The measured dependence of the scattering efficiency on the electric field and the detuning from resonance are reported. Experimental relationships are compared with theoretical calculations based on the quasi-classical description of the motion of atoms in the field of a light wave, using an effective potential. It is shown that the efficiency of scattering of atoms by SRP forces is of the order of unity in relatively weak (100–1000-V/cm) laser fields.

© 1985 Optical Society of America

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  1. G. A. Askar’yan, “Vozdiestvie gradienta polya intensivnogo electromagnitnogo lucha na electroni i atomi,” Zh. Eksp. Teor. Fiz. 42, 1567–1570 (1962) [Sov. Phys. JETP 15, 1088 (1962)].
  2. A. Ashkin, “Acceleration and trapping of particles by radiation pressure,” Phys. Rev. Lett. 24, 156–159 (1970); “Atomic-beam deflection by resonance-radiation pressure,” Phys. Rev. Lett. 25, 1321–1324 (1970).
    [CrossRef]
  3. A. P. Kazantsev, “Resonansnoe svetovoe davlenie,” Usp. Fiz. Nauk 124, 113–145 (1978) [Sov. Phys. Usp. 21, 58 (1978)].
  4. S. Stenholm, “Theoretical foundations of laser spectroscopy,” Phys. Rep. C43, 151–221 (1978).
    [CrossRef]
  5. V. S. Letokhov, V. G. Minogin, “Laser radiation pressure on free atoms,” Phys. Rep. 73, 1–65 (1981).
    [CrossRef]
  6. A. P. Kazantsev, G. I. Surdutovich, “Effekt Kapitsa–Diraca dlya atomov v silnom resonansnom pole,” Zh. Eksp. Teor. Fiz. Pis’ma Red. 21, 346–349 (1975) [JETP Lett. 21, 158 (1975)].
  7. G. A. Delone, V. A. Grinchuk, A. P. Kazantsev, G. I. Surdutovich, “Scattering of atoms and molecules by an electromagnetic field,” Opt. Commun. 25, 399–401 (1978).
    [CrossRef]
  8. E. Arimondo, H. Lew, T. Oka, “Deflection of Na beam by resonant standing wave radiation,” Phys. Rev. Lett. 43, 753 (1979).
    [CrossRef]
  9. V. A. Grinchuk, E. F. Kuzin, M. L. Nagaeva, G. A. Ryabenko, A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Scattering of an atomic beam by a short light pulse,” Phys. Lett. A86, 136–138 (1981).
  10. P. Moskowitz, P. L. Gould, S. R. Atlas, D. E. Pritchard, “Diffraction of an atomic beam by standing wave radiation,” Phys. Rev. Lett. 51, 370–373 (1983).
    [CrossRef]
  11. G. A. Delone, V. A. Grinchuck, S. P. Kuzmichev, M. L. Nagaeva, A. P. Kazantsev, G. I. Surdutovich, “The Kapitsa–Dirac resonance effect,” Opt. Commun. 33, 149–152 (1980).
    [CrossRef]
  12. B. L. Zhelnov, A. P. Kazantsev, G. I. Surdutovich, “Rasseyanie atomov electromagnitnim polem,” Sov. J. Quantum Electron. 4, 893–897 (1977).
  13. R. J. Cook, A. F. Bernhardt, “Deflection of atoms by a resonant standing electromagnetic wave,” Phys. Rev. A 18, 2533–2537 (1978).
    [CrossRef]
  14. A. P. Kazantsev, G. I. Surdotovich, V. P. Yakovlev, “K kvantovoi teorii resonansnogo rasseyaniya atomov svetom,” Zh. Eksp. Teor. Fiz. Pis’ma Red. 31, 542–545 (1980) [JETP Lett. 31, 509 (1980)].
  15. A. F. Bernhardt, B. W. Shore, “Coherent atomic deflection by resonant standing waves,” Phys. Rev. A 23, 1290–1293 (1981).
    [CrossRef]
  16. E. Arimondo, A. Bambini, S. Stenholm, “Quasiclassical theory of laser-induced atomic-beam dispersion,” Phys. Rev. A 24, 898–909 (1981).
    [CrossRef]
  17. G. Compagno, J. S. Peng, F. Persico, “Deflection and internal dynamics of atoms dressed by a resonant standing wave, Phys. Lett. A 88, 286–287 (1982).
    [CrossRef]
  18. V. A. Grinchuk, E. F. Kuzin, M. L. Nagaeva, G. A. Ryabenko, A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Rasseyanie atomov svetom,” Izv. Akad. Nauk. Ser. Fiz. 47, 2424–2428 (1983).
  19. V. A. Grinchuk, A. P. Kazantsev, E. F. Kuzin, M. L. Nagaeva, G. A. Ryabenko, G. I. Surdutovich, V. P. Yakovlev, “Rasseyanie atomov silami vinusdennogo svetovogo davleniya,” Zh. Eksp. Teor. Fiz. 86, 100 (1984) [Sov. Phys. JETP 59, 56 (1984)].
  20. A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Interaction of the quasi-energy levels of an atom in the standing wave field,” Opt. Commun. 43, 180–183 (1982).
    [CrossRef]
  21. A. P. Kazantsev, Q. I. Surdutovich, D. O. Chudeshikov, V. P. Yakovlev, “On the quantum theory of the scattering of atom by a standing light wave,” Opt. Commun. 52, 311–314 (1985).
    [CrossRef]
  22. A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Dispersia atoma v svetovom pole,” Zh. Eksp. Teor. Fiz. 85, 852–861 (1983) [Sov. Phys. JETP 58, 492 (1983)].
  23. L. Mandel, “Distribution of atomic momentum in resonance fluorescence,” J. Opt. (Paris) 10, 51–64 (1979).
    [CrossRef]
  24. J. P. Gordon, A. Ashkin, “Motion of atoms in a radiation trap,” Phys. Rev. A 21, 1606–1617 (1980).
    [CrossRef]
  25. R. J. Cook, “Theory of resonance-radiation pressure,” Phys. Rev. A 22, 1078–1098 (1980).
    [CrossRef]
  26. A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Dvizhenie atomov i molekul v resonansnom svetovom pole,” Zh. Eksp. Teor. Fiz. 80, 541–550 (1981) [Sov. Phys. JETP 53,272 (1981)]; “The motion of atoms and molecules in a resonant light field,” J. Phys. (Paris) 42, 1231–1237(1981); “The scattering of slow atoms by light,” J. Appl. Phys. 25, 165–167 (1981).
  27. C. Tanguy, S. Reynand, M. Matsuoka, C. Cohen-Tannoudji, “Deflection profiles of a monoenergetic atomic beam crossing a standing light wave,” Opt. Commun. 44, 249–253 (1983).
    [CrossRef]

1985

A. P. Kazantsev, Q. I. Surdutovich, D. O. Chudeshikov, V. P. Yakovlev, “On the quantum theory of the scattering of atom by a standing light wave,” Opt. Commun. 52, 311–314 (1985).
[CrossRef]

1984

V. A. Grinchuk, A. P. Kazantsev, E. F. Kuzin, M. L. Nagaeva, G. A. Ryabenko, G. I. Surdutovich, V. P. Yakovlev, “Rasseyanie atomov silami vinusdennogo svetovogo davleniya,” Zh. Eksp. Teor. Fiz. 86, 100 (1984) [Sov. Phys. JETP 59, 56 (1984)].

1983

A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Dispersia atoma v svetovom pole,” Zh. Eksp. Teor. Fiz. 85, 852–861 (1983) [Sov. Phys. JETP 58, 492 (1983)].

V. A. Grinchuk, E. F. Kuzin, M. L. Nagaeva, G. A. Ryabenko, A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Rasseyanie atomov svetom,” Izv. Akad. Nauk. Ser. Fiz. 47, 2424–2428 (1983).

C. Tanguy, S. Reynand, M. Matsuoka, C. Cohen-Tannoudji, “Deflection profiles of a monoenergetic atomic beam crossing a standing light wave,” Opt. Commun. 44, 249–253 (1983).
[CrossRef]

P. Moskowitz, P. L. Gould, S. R. Atlas, D. E. Pritchard, “Diffraction of an atomic beam by standing wave radiation,” Phys. Rev. Lett. 51, 370–373 (1983).
[CrossRef]

1982

G. Compagno, J. S. Peng, F. Persico, “Deflection and internal dynamics of atoms dressed by a resonant standing wave, Phys. Lett. A 88, 286–287 (1982).
[CrossRef]

A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Interaction of the quasi-energy levels of an atom in the standing wave field,” Opt. Commun. 43, 180–183 (1982).
[CrossRef]

1981

A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Dvizhenie atomov i molekul v resonansnom svetovom pole,” Zh. Eksp. Teor. Fiz. 80, 541–550 (1981) [Sov. Phys. JETP 53,272 (1981)]; “The motion of atoms and molecules in a resonant light field,” J. Phys. (Paris) 42, 1231–1237(1981); “The scattering of slow atoms by light,” J. Appl. Phys. 25, 165–167 (1981).

A. F. Bernhardt, B. W. Shore, “Coherent atomic deflection by resonant standing waves,” Phys. Rev. A 23, 1290–1293 (1981).
[CrossRef]

E. Arimondo, A. Bambini, S. Stenholm, “Quasiclassical theory of laser-induced atomic-beam dispersion,” Phys. Rev. A 24, 898–909 (1981).
[CrossRef]

V. A. Grinchuk, E. F. Kuzin, M. L. Nagaeva, G. A. Ryabenko, A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Scattering of an atomic beam by a short light pulse,” Phys. Lett. A86, 136–138 (1981).

V. S. Letokhov, V. G. Minogin, “Laser radiation pressure on free atoms,” Phys. Rep. 73, 1–65 (1981).
[CrossRef]

1980

G. A. Delone, V. A. Grinchuck, S. P. Kuzmichev, M. L. Nagaeva, A. P. Kazantsev, G. I. Surdutovich, “The Kapitsa–Dirac resonance effect,” Opt. Commun. 33, 149–152 (1980).
[CrossRef]

A. P. Kazantsev, G. I. Surdotovich, V. P. Yakovlev, “K kvantovoi teorii resonansnogo rasseyaniya atomov svetom,” Zh. Eksp. Teor. Fiz. Pis’ma Red. 31, 542–545 (1980) [JETP Lett. 31, 509 (1980)].

J. P. Gordon, A. Ashkin, “Motion of atoms in a radiation trap,” Phys. Rev. A 21, 1606–1617 (1980).
[CrossRef]

R. J. Cook, “Theory of resonance-radiation pressure,” Phys. Rev. A 22, 1078–1098 (1980).
[CrossRef]

1979

L. Mandel, “Distribution of atomic momentum in resonance fluorescence,” J. Opt. (Paris) 10, 51–64 (1979).
[CrossRef]

E. Arimondo, H. Lew, T. Oka, “Deflection of Na beam by resonant standing wave radiation,” Phys. Rev. Lett. 43, 753 (1979).
[CrossRef]

1978

G. A. Delone, V. A. Grinchuk, A. P. Kazantsev, G. I. Surdutovich, “Scattering of atoms and molecules by an electromagnetic field,” Opt. Commun. 25, 399–401 (1978).
[CrossRef]

A. P. Kazantsev, “Resonansnoe svetovoe davlenie,” Usp. Fiz. Nauk 124, 113–145 (1978) [Sov. Phys. Usp. 21, 58 (1978)].

S. Stenholm, “Theoretical foundations of laser spectroscopy,” Phys. Rep. C43, 151–221 (1978).
[CrossRef]

R. J. Cook, A. F. Bernhardt, “Deflection of atoms by a resonant standing electromagnetic wave,” Phys. Rev. A 18, 2533–2537 (1978).
[CrossRef]

1977

B. L. Zhelnov, A. P. Kazantsev, G. I. Surdutovich, “Rasseyanie atomov electromagnitnim polem,” Sov. J. Quantum Electron. 4, 893–897 (1977).

1975

A. P. Kazantsev, G. I. Surdutovich, “Effekt Kapitsa–Diraca dlya atomov v silnom resonansnom pole,” Zh. Eksp. Teor. Fiz. Pis’ma Red. 21, 346–349 (1975) [JETP Lett. 21, 158 (1975)].

1970

A. Ashkin, “Acceleration and trapping of particles by radiation pressure,” Phys. Rev. Lett. 24, 156–159 (1970); “Atomic-beam deflection by resonance-radiation pressure,” Phys. Rev. Lett. 25, 1321–1324 (1970).
[CrossRef]

1962

G. A. Askar’yan, “Vozdiestvie gradienta polya intensivnogo electromagnitnogo lucha na electroni i atomi,” Zh. Eksp. Teor. Fiz. 42, 1567–1570 (1962) [Sov. Phys. JETP 15, 1088 (1962)].

Arimondo, E.

E. Arimondo, A. Bambini, S. Stenholm, “Quasiclassical theory of laser-induced atomic-beam dispersion,” Phys. Rev. A 24, 898–909 (1981).
[CrossRef]

E. Arimondo, H. Lew, T. Oka, “Deflection of Na beam by resonant standing wave radiation,” Phys. Rev. Lett. 43, 753 (1979).
[CrossRef]

Ashkin, A.

J. P. Gordon, A. Ashkin, “Motion of atoms in a radiation trap,” Phys. Rev. A 21, 1606–1617 (1980).
[CrossRef]

A. Ashkin, “Acceleration and trapping of particles by radiation pressure,” Phys. Rev. Lett. 24, 156–159 (1970); “Atomic-beam deflection by resonance-radiation pressure,” Phys. Rev. Lett. 25, 1321–1324 (1970).
[CrossRef]

Askar’yan, G. A.

G. A. Askar’yan, “Vozdiestvie gradienta polya intensivnogo electromagnitnogo lucha na electroni i atomi,” Zh. Eksp. Teor. Fiz. 42, 1567–1570 (1962) [Sov. Phys. JETP 15, 1088 (1962)].

Atlas, S. R.

P. Moskowitz, P. L. Gould, S. R. Atlas, D. E. Pritchard, “Diffraction of an atomic beam by standing wave radiation,” Phys. Rev. Lett. 51, 370–373 (1983).
[CrossRef]

Bambini, A.

E. Arimondo, A. Bambini, S. Stenholm, “Quasiclassical theory of laser-induced atomic-beam dispersion,” Phys. Rev. A 24, 898–909 (1981).
[CrossRef]

Bernhardt, A. F.

A. F. Bernhardt, B. W. Shore, “Coherent atomic deflection by resonant standing waves,” Phys. Rev. A 23, 1290–1293 (1981).
[CrossRef]

R. J. Cook, A. F. Bernhardt, “Deflection of atoms by a resonant standing electromagnetic wave,” Phys. Rev. A 18, 2533–2537 (1978).
[CrossRef]

Chudeshikov, D. O.

A. P. Kazantsev, Q. I. Surdutovich, D. O. Chudeshikov, V. P. Yakovlev, “On the quantum theory of the scattering of atom by a standing light wave,” Opt. Commun. 52, 311–314 (1985).
[CrossRef]

Cohen-Tannoudji, C.

C. Tanguy, S. Reynand, M. Matsuoka, C. Cohen-Tannoudji, “Deflection profiles of a monoenergetic atomic beam crossing a standing light wave,” Opt. Commun. 44, 249–253 (1983).
[CrossRef]

Compagno, G.

G. Compagno, J. S. Peng, F. Persico, “Deflection and internal dynamics of atoms dressed by a resonant standing wave, Phys. Lett. A 88, 286–287 (1982).
[CrossRef]

Cook, R. J.

R. J. Cook, “Theory of resonance-radiation pressure,” Phys. Rev. A 22, 1078–1098 (1980).
[CrossRef]

R. J. Cook, A. F. Bernhardt, “Deflection of atoms by a resonant standing electromagnetic wave,” Phys. Rev. A 18, 2533–2537 (1978).
[CrossRef]

Delone, G. A.

G. A. Delone, V. A. Grinchuck, S. P. Kuzmichev, M. L. Nagaeva, A. P. Kazantsev, G. I. Surdutovich, “The Kapitsa–Dirac resonance effect,” Opt. Commun. 33, 149–152 (1980).
[CrossRef]

G. A. Delone, V. A. Grinchuk, A. P. Kazantsev, G. I. Surdutovich, “Scattering of atoms and molecules by an electromagnetic field,” Opt. Commun. 25, 399–401 (1978).
[CrossRef]

Gordon, J. P.

J. P. Gordon, A. Ashkin, “Motion of atoms in a radiation trap,” Phys. Rev. A 21, 1606–1617 (1980).
[CrossRef]

Gould, P. L.

P. Moskowitz, P. L. Gould, S. R. Atlas, D. E. Pritchard, “Diffraction of an atomic beam by standing wave radiation,” Phys. Rev. Lett. 51, 370–373 (1983).
[CrossRef]

Grinchuck, V. A.

G. A. Delone, V. A. Grinchuck, S. P. Kuzmichev, M. L. Nagaeva, A. P. Kazantsev, G. I. Surdutovich, “The Kapitsa–Dirac resonance effect,” Opt. Commun. 33, 149–152 (1980).
[CrossRef]

Grinchuk, V. A.

V. A. Grinchuk, A. P. Kazantsev, E. F. Kuzin, M. L. Nagaeva, G. A. Ryabenko, G. I. Surdutovich, V. P. Yakovlev, “Rasseyanie atomov silami vinusdennogo svetovogo davleniya,” Zh. Eksp. Teor. Fiz. 86, 100 (1984) [Sov. Phys. JETP 59, 56 (1984)].

V. A. Grinchuk, E. F. Kuzin, M. L. Nagaeva, G. A. Ryabenko, A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Rasseyanie atomov svetom,” Izv. Akad. Nauk. Ser. Fiz. 47, 2424–2428 (1983).

V. A. Grinchuk, E. F. Kuzin, M. L. Nagaeva, G. A. Ryabenko, A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Scattering of an atomic beam by a short light pulse,” Phys. Lett. A86, 136–138 (1981).

G. A. Delone, V. A. Grinchuk, A. P. Kazantsev, G. I. Surdutovich, “Scattering of atoms and molecules by an electromagnetic field,” Opt. Commun. 25, 399–401 (1978).
[CrossRef]

Kazantsev, A. P.

A. P. Kazantsev, Q. I. Surdutovich, D. O. Chudeshikov, V. P. Yakovlev, “On the quantum theory of the scattering of atom by a standing light wave,” Opt. Commun. 52, 311–314 (1985).
[CrossRef]

V. A. Grinchuk, A. P. Kazantsev, E. F. Kuzin, M. L. Nagaeva, G. A. Ryabenko, G. I. Surdutovich, V. P. Yakovlev, “Rasseyanie atomov silami vinusdennogo svetovogo davleniya,” Zh. Eksp. Teor. Fiz. 86, 100 (1984) [Sov. Phys. JETP 59, 56 (1984)].

A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Dispersia atoma v svetovom pole,” Zh. Eksp. Teor. Fiz. 85, 852–861 (1983) [Sov. Phys. JETP 58, 492 (1983)].

V. A. Grinchuk, E. F. Kuzin, M. L. Nagaeva, G. A. Ryabenko, A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Rasseyanie atomov svetom,” Izv. Akad. Nauk. Ser. Fiz. 47, 2424–2428 (1983).

A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Interaction of the quasi-energy levels of an atom in the standing wave field,” Opt. Commun. 43, 180–183 (1982).
[CrossRef]

A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Dvizhenie atomov i molekul v resonansnom svetovom pole,” Zh. Eksp. Teor. Fiz. 80, 541–550 (1981) [Sov. Phys. JETP 53,272 (1981)]; “The motion of atoms and molecules in a resonant light field,” J. Phys. (Paris) 42, 1231–1237(1981); “The scattering of slow atoms by light,” J. Appl. Phys. 25, 165–167 (1981).

V. A. Grinchuk, E. F. Kuzin, M. L. Nagaeva, G. A. Ryabenko, A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Scattering of an atomic beam by a short light pulse,” Phys. Lett. A86, 136–138 (1981).

G. A. Delone, V. A. Grinchuck, S. P. Kuzmichev, M. L. Nagaeva, A. P. Kazantsev, G. I. Surdutovich, “The Kapitsa–Dirac resonance effect,” Opt. Commun. 33, 149–152 (1980).
[CrossRef]

A. P. Kazantsev, G. I. Surdotovich, V. P. Yakovlev, “K kvantovoi teorii resonansnogo rasseyaniya atomov svetom,” Zh. Eksp. Teor. Fiz. Pis’ma Red. 31, 542–545 (1980) [JETP Lett. 31, 509 (1980)].

G. A. Delone, V. A. Grinchuk, A. P. Kazantsev, G. I. Surdutovich, “Scattering of atoms and molecules by an electromagnetic field,” Opt. Commun. 25, 399–401 (1978).
[CrossRef]

A. P. Kazantsev, “Resonansnoe svetovoe davlenie,” Usp. Fiz. Nauk 124, 113–145 (1978) [Sov. Phys. Usp. 21, 58 (1978)].

B. L. Zhelnov, A. P. Kazantsev, G. I. Surdutovich, “Rasseyanie atomov electromagnitnim polem,” Sov. J. Quantum Electron. 4, 893–897 (1977).

A. P. Kazantsev, G. I. Surdutovich, “Effekt Kapitsa–Diraca dlya atomov v silnom resonansnom pole,” Zh. Eksp. Teor. Fiz. Pis’ma Red. 21, 346–349 (1975) [JETP Lett. 21, 158 (1975)].

Kuzin, E. F.

V. A. Grinchuk, A. P. Kazantsev, E. F. Kuzin, M. L. Nagaeva, G. A. Ryabenko, G. I. Surdutovich, V. P. Yakovlev, “Rasseyanie atomov silami vinusdennogo svetovogo davleniya,” Zh. Eksp. Teor. Fiz. 86, 100 (1984) [Sov. Phys. JETP 59, 56 (1984)].

V. A. Grinchuk, E. F. Kuzin, M. L. Nagaeva, G. A. Ryabenko, A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Rasseyanie atomov svetom,” Izv. Akad. Nauk. Ser. Fiz. 47, 2424–2428 (1983).

V. A. Grinchuk, E. F. Kuzin, M. L. Nagaeva, G. A. Ryabenko, A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Scattering of an atomic beam by a short light pulse,” Phys. Lett. A86, 136–138 (1981).

Kuzmichev, S. P.

G. A. Delone, V. A. Grinchuck, S. P. Kuzmichev, M. L. Nagaeva, A. P. Kazantsev, G. I. Surdutovich, “The Kapitsa–Dirac resonance effect,” Opt. Commun. 33, 149–152 (1980).
[CrossRef]

Letokhov, V. S.

V. S. Letokhov, V. G. Minogin, “Laser radiation pressure on free atoms,” Phys. Rep. 73, 1–65 (1981).
[CrossRef]

Lew, H.

E. Arimondo, H. Lew, T. Oka, “Deflection of Na beam by resonant standing wave radiation,” Phys. Rev. Lett. 43, 753 (1979).
[CrossRef]

Mandel, L.

L. Mandel, “Distribution of atomic momentum in resonance fluorescence,” J. Opt. (Paris) 10, 51–64 (1979).
[CrossRef]

Matsuoka, M.

C. Tanguy, S. Reynand, M. Matsuoka, C. Cohen-Tannoudji, “Deflection profiles of a monoenergetic atomic beam crossing a standing light wave,” Opt. Commun. 44, 249–253 (1983).
[CrossRef]

Minogin, V. G.

V. S. Letokhov, V. G. Minogin, “Laser radiation pressure on free atoms,” Phys. Rep. 73, 1–65 (1981).
[CrossRef]

Moskowitz, P.

P. Moskowitz, P. L. Gould, S. R. Atlas, D. E. Pritchard, “Diffraction of an atomic beam by standing wave radiation,” Phys. Rev. Lett. 51, 370–373 (1983).
[CrossRef]

Nagaeva, M. L.

V. A. Grinchuk, A. P. Kazantsev, E. F. Kuzin, M. L. Nagaeva, G. A. Ryabenko, G. I. Surdutovich, V. P. Yakovlev, “Rasseyanie atomov silami vinusdennogo svetovogo davleniya,” Zh. Eksp. Teor. Fiz. 86, 100 (1984) [Sov. Phys. JETP 59, 56 (1984)].

V. A. Grinchuk, E. F. Kuzin, M. L. Nagaeva, G. A. Ryabenko, A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Rasseyanie atomov svetom,” Izv. Akad. Nauk. Ser. Fiz. 47, 2424–2428 (1983).

V. A. Grinchuk, E. F. Kuzin, M. L. Nagaeva, G. A. Ryabenko, A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Scattering of an atomic beam by a short light pulse,” Phys. Lett. A86, 136–138 (1981).

G. A. Delone, V. A. Grinchuck, S. P. Kuzmichev, M. L. Nagaeva, A. P. Kazantsev, G. I. Surdutovich, “The Kapitsa–Dirac resonance effect,” Opt. Commun. 33, 149–152 (1980).
[CrossRef]

Oka, T.

E. Arimondo, H. Lew, T. Oka, “Deflection of Na beam by resonant standing wave radiation,” Phys. Rev. Lett. 43, 753 (1979).
[CrossRef]

Peng, J. S.

G. Compagno, J. S. Peng, F. Persico, “Deflection and internal dynamics of atoms dressed by a resonant standing wave, Phys. Lett. A 88, 286–287 (1982).
[CrossRef]

Persico, F.

G. Compagno, J. S. Peng, F. Persico, “Deflection and internal dynamics of atoms dressed by a resonant standing wave, Phys. Lett. A 88, 286–287 (1982).
[CrossRef]

Pritchard, D. E.

P. Moskowitz, P. L. Gould, S. R. Atlas, D. E. Pritchard, “Diffraction of an atomic beam by standing wave radiation,” Phys. Rev. Lett. 51, 370–373 (1983).
[CrossRef]

Reynand, S.

C. Tanguy, S. Reynand, M. Matsuoka, C. Cohen-Tannoudji, “Deflection profiles of a monoenergetic atomic beam crossing a standing light wave,” Opt. Commun. 44, 249–253 (1983).
[CrossRef]

Ryabenko, G. A.

V. A. Grinchuk, A. P. Kazantsev, E. F. Kuzin, M. L. Nagaeva, G. A. Ryabenko, G. I. Surdutovich, V. P. Yakovlev, “Rasseyanie atomov silami vinusdennogo svetovogo davleniya,” Zh. Eksp. Teor. Fiz. 86, 100 (1984) [Sov. Phys. JETP 59, 56 (1984)].

V. A. Grinchuk, E. F. Kuzin, M. L. Nagaeva, G. A. Ryabenko, A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Rasseyanie atomov svetom,” Izv. Akad. Nauk. Ser. Fiz. 47, 2424–2428 (1983).

V. A. Grinchuk, E. F. Kuzin, M. L. Nagaeva, G. A. Ryabenko, A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Scattering of an atomic beam by a short light pulse,” Phys. Lett. A86, 136–138 (1981).

Shore, B. W.

A. F. Bernhardt, B. W. Shore, “Coherent atomic deflection by resonant standing waves,” Phys. Rev. A 23, 1290–1293 (1981).
[CrossRef]

Stenholm, S.

E. Arimondo, A. Bambini, S. Stenholm, “Quasiclassical theory of laser-induced atomic-beam dispersion,” Phys. Rev. A 24, 898–909 (1981).
[CrossRef]

S. Stenholm, “Theoretical foundations of laser spectroscopy,” Phys. Rep. C43, 151–221 (1978).
[CrossRef]

Surdotovich, G. I.

A. P. Kazantsev, G. I. Surdotovich, V. P. Yakovlev, “K kvantovoi teorii resonansnogo rasseyaniya atomov svetom,” Zh. Eksp. Teor. Fiz. Pis’ma Red. 31, 542–545 (1980) [JETP Lett. 31, 509 (1980)].

Surdutovich, G. I.

V. A. Grinchuk, A. P. Kazantsev, E. F. Kuzin, M. L. Nagaeva, G. A. Ryabenko, G. I. Surdutovich, V. P. Yakovlev, “Rasseyanie atomov silami vinusdennogo svetovogo davleniya,” Zh. Eksp. Teor. Fiz. 86, 100 (1984) [Sov. Phys. JETP 59, 56 (1984)].

A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Dispersia atoma v svetovom pole,” Zh. Eksp. Teor. Fiz. 85, 852–861 (1983) [Sov. Phys. JETP 58, 492 (1983)].

V. A. Grinchuk, E. F. Kuzin, M. L. Nagaeva, G. A. Ryabenko, A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Rasseyanie atomov svetom,” Izv. Akad. Nauk. Ser. Fiz. 47, 2424–2428 (1983).

A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Interaction of the quasi-energy levels of an atom in the standing wave field,” Opt. Commun. 43, 180–183 (1982).
[CrossRef]

A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Dvizhenie atomov i molekul v resonansnom svetovom pole,” Zh. Eksp. Teor. Fiz. 80, 541–550 (1981) [Sov. Phys. JETP 53,272 (1981)]; “The motion of atoms and molecules in a resonant light field,” J. Phys. (Paris) 42, 1231–1237(1981); “The scattering of slow atoms by light,” J. Appl. Phys. 25, 165–167 (1981).

V. A. Grinchuk, E. F. Kuzin, M. L. Nagaeva, G. A. Ryabenko, A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Scattering of an atomic beam by a short light pulse,” Phys. Lett. A86, 136–138 (1981).

G. A. Delone, V. A. Grinchuck, S. P. Kuzmichev, M. L. Nagaeva, A. P. Kazantsev, G. I. Surdutovich, “The Kapitsa–Dirac resonance effect,” Opt. Commun. 33, 149–152 (1980).
[CrossRef]

G. A. Delone, V. A. Grinchuk, A. P. Kazantsev, G. I. Surdutovich, “Scattering of atoms and molecules by an electromagnetic field,” Opt. Commun. 25, 399–401 (1978).
[CrossRef]

B. L. Zhelnov, A. P. Kazantsev, G. I. Surdutovich, “Rasseyanie atomov electromagnitnim polem,” Sov. J. Quantum Electron. 4, 893–897 (1977).

A. P. Kazantsev, G. I. Surdutovich, “Effekt Kapitsa–Diraca dlya atomov v silnom resonansnom pole,” Zh. Eksp. Teor. Fiz. Pis’ma Red. 21, 346–349 (1975) [JETP Lett. 21, 158 (1975)].

Surdutovich, Q. I.

A. P. Kazantsev, Q. I. Surdutovich, D. O. Chudeshikov, V. P. Yakovlev, “On the quantum theory of the scattering of atom by a standing light wave,” Opt. Commun. 52, 311–314 (1985).
[CrossRef]

Tanguy, C.

C. Tanguy, S. Reynand, M. Matsuoka, C. Cohen-Tannoudji, “Deflection profiles of a monoenergetic atomic beam crossing a standing light wave,” Opt. Commun. 44, 249–253 (1983).
[CrossRef]

Yakovlev, V. P.

A. P. Kazantsev, Q. I. Surdutovich, D. O. Chudeshikov, V. P. Yakovlev, “On the quantum theory of the scattering of atom by a standing light wave,” Opt. Commun. 52, 311–314 (1985).
[CrossRef]

V. A. Grinchuk, A. P. Kazantsev, E. F. Kuzin, M. L. Nagaeva, G. A. Ryabenko, G. I. Surdutovich, V. P. Yakovlev, “Rasseyanie atomov silami vinusdennogo svetovogo davleniya,” Zh. Eksp. Teor. Fiz. 86, 100 (1984) [Sov. Phys. JETP 59, 56 (1984)].

A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Dispersia atoma v svetovom pole,” Zh. Eksp. Teor. Fiz. 85, 852–861 (1983) [Sov. Phys. JETP 58, 492 (1983)].

V. A. Grinchuk, E. F. Kuzin, M. L. Nagaeva, G. A. Ryabenko, A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Rasseyanie atomov svetom,” Izv. Akad. Nauk. Ser. Fiz. 47, 2424–2428 (1983).

A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Interaction of the quasi-energy levels of an atom in the standing wave field,” Opt. Commun. 43, 180–183 (1982).
[CrossRef]

A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Dvizhenie atomov i molekul v resonansnom svetovom pole,” Zh. Eksp. Teor. Fiz. 80, 541–550 (1981) [Sov. Phys. JETP 53,272 (1981)]; “The motion of atoms and molecules in a resonant light field,” J. Phys. (Paris) 42, 1231–1237(1981); “The scattering of slow atoms by light,” J. Appl. Phys. 25, 165–167 (1981).

V. A. Grinchuk, E. F. Kuzin, M. L. Nagaeva, G. A. Ryabenko, A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Scattering of an atomic beam by a short light pulse,” Phys. Lett. A86, 136–138 (1981).

A. P. Kazantsev, G. I. Surdotovich, V. P. Yakovlev, “K kvantovoi teorii resonansnogo rasseyaniya atomov svetom,” Zh. Eksp. Teor. Fiz. Pis’ma Red. 31, 542–545 (1980) [JETP Lett. 31, 509 (1980)].

Zhelnov, B. L.

B. L. Zhelnov, A. P. Kazantsev, G. I. Surdutovich, “Rasseyanie atomov electromagnitnim polem,” Sov. J. Quantum Electron. 4, 893–897 (1977).

Izv. Akad. Nauk. Ser. Fiz.

V. A. Grinchuk, E. F. Kuzin, M. L. Nagaeva, G. A. Ryabenko, A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Rasseyanie atomov svetom,” Izv. Akad. Nauk. Ser. Fiz. 47, 2424–2428 (1983).

J. Opt. (Paris)

L. Mandel, “Distribution of atomic momentum in resonance fluorescence,” J. Opt. (Paris) 10, 51–64 (1979).
[CrossRef]

Opt. Commun.

A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Interaction of the quasi-energy levels of an atom in the standing wave field,” Opt. Commun. 43, 180–183 (1982).
[CrossRef]

A. P. Kazantsev, Q. I. Surdutovich, D. O. Chudeshikov, V. P. Yakovlev, “On the quantum theory of the scattering of atom by a standing light wave,” Opt. Commun. 52, 311–314 (1985).
[CrossRef]

C. Tanguy, S. Reynand, M. Matsuoka, C. Cohen-Tannoudji, “Deflection profiles of a monoenergetic atomic beam crossing a standing light wave,” Opt. Commun. 44, 249–253 (1983).
[CrossRef]

G. A. Delone, V. A. Grinchuk, A. P. Kazantsev, G. I. Surdutovich, “Scattering of atoms and molecules by an electromagnetic field,” Opt. Commun. 25, 399–401 (1978).
[CrossRef]

G. A. Delone, V. A. Grinchuck, S. P. Kuzmichev, M. L. Nagaeva, A. P. Kazantsev, G. I. Surdutovich, “The Kapitsa–Dirac resonance effect,” Opt. Commun. 33, 149–152 (1980).
[CrossRef]

Phys. Lett.

V. A. Grinchuk, E. F. Kuzin, M. L. Nagaeva, G. A. Ryabenko, A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Scattering of an atomic beam by a short light pulse,” Phys. Lett. A86, 136–138 (1981).

Phys. Lett. A

G. Compagno, J. S. Peng, F. Persico, “Deflection and internal dynamics of atoms dressed by a resonant standing wave, Phys. Lett. A 88, 286–287 (1982).
[CrossRef]

Phys. Rep.

S. Stenholm, “Theoretical foundations of laser spectroscopy,” Phys. Rep. C43, 151–221 (1978).
[CrossRef]

V. S. Letokhov, V. G. Minogin, “Laser radiation pressure on free atoms,” Phys. Rep. 73, 1–65 (1981).
[CrossRef]

Phys. Rev. A

A. F. Bernhardt, B. W. Shore, “Coherent atomic deflection by resonant standing waves,” Phys. Rev. A 23, 1290–1293 (1981).
[CrossRef]

E. Arimondo, A. Bambini, S. Stenholm, “Quasiclassical theory of laser-induced atomic-beam dispersion,” Phys. Rev. A 24, 898–909 (1981).
[CrossRef]

R. J. Cook, A. F. Bernhardt, “Deflection of atoms by a resonant standing electromagnetic wave,” Phys. Rev. A 18, 2533–2537 (1978).
[CrossRef]

J. P. Gordon, A. Ashkin, “Motion of atoms in a radiation trap,” Phys. Rev. A 21, 1606–1617 (1980).
[CrossRef]

R. J. Cook, “Theory of resonance-radiation pressure,” Phys. Rev. A 22, 1078–1098 (1980).
[CrossRef]

Phys. Rev. Lett.

A. Ashkin, “Acceleration and trapping of particles by radiation pressure,” Phys. Rev. Lett. 24, 156–159 (1970); “Atomic-beam deflection by resonance-radiation pressure,” Phys. Rev. Lett. 25, 1321–1324 (1970).
[CrossRef]

P. Moskowitz, P. L. Gould, S. R. Atlas, D. E. Pritchard, “Diffraction of an atomic beam by standing wave radiation,” Phys. Rev. Lett. 51, 370–373 (1983).
[CrossRef]

E. Arimondo, H. Lew, T. Oka, “Deflection of Na beam by resonant standing wave radiation,” Phys. Rev. Lett. 43, 753 (1979).
[CrossRef]

Sov. J. Quantum Electron.

B. L. Zhelnov, A. P. Kazantsev, G. I. Surdutovich, “Rasseyanie atomov electromagnitnim polem,” Sov. J. Quantum Electron. 4, 893–897 (1977).

Usp. Fiz. Nauk

A. P. Kazantsev, “Resonansnoe svetovoe davlenie,” Usp. Fiz. Nauk 124, 113–145 (1978) [Sov. Phys. Usp. 21, 58 (1978)].

Zh. Eksp. Teor. Fiz.

G. A. Askar’yan, “Vozdiestvie gradienta polya intensivnogo electromagnitnogo lucha na electroni i atomi,” Zh. Eksp. Teor. Fiz. 42, 1567–1570 (1962) [Sov. Phys. JETP 15, 1088 (1962)].

A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Dvizhenie atomov i molekul v resonansnom svetovom pole,” Zh. Eksp. Teor. Fiz. 80, 541–550 (1981) [Sov. Phys. JETP 53,272 (1981)]; “The motion of atoms and molecules in a resonant light field,” J. Phys. (Paris) 42, 1231–1237(1981); “The scattering of slow atoms by light,” J. Appl. Phys. 25, 165–167 (1981).

A. P. Kazantsev, G. I. Surdutovich, V. P. Yakovlev, “Dispersia atoma v svetovom pole,” Zh. Eksp. Teor. Fiz. 85, 852–861 (1983) [Sov. Phys. JETP 58, 492 (1983)].

V. A. Grinchuk, A. P. Kazantsev, E. F. Kuzin, M. L. Nagaeva, G. A. Ryabenko, G. I. Surdutovich, V. P. Yakovlev, “Rasseyanie atomov silami vinusdennogo svetovogo davleniya,” Zh. Eksp. Teor. Fiz. 86, 100 (1984) [Sov. Phys. JETP 59, 56 (1984)].

Zh. Eksp. Teor. Fiz. Pis’ma Red.

A. P. Kazantsev, G. I. Surdotovich, V. P. Yakovlev, “K kvantovoi teorii resonansnogo rasseyaniya atomov svetom,” Zh. Eksp. Teor. Fiz. Pis’ma Red. 31, 542–545 (1980) [JETP Lett. 31, 509 (1980)].

A. P. Kazantsev, G. I. Surdutovich, “Effekt Kapitsa–Diraca dlya atomov v silnom resonansnom pole,” Zh. Eksp. Teor. Fiz. Pis’ma Red. 21, 346–349 (1975) [JETP Lett. 21, 158 (1975)].

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Figures (9)

Fig. 1
Fig. 1

Effective atomic potentials in the standing wave: solid line corresponds to nonresonant potential ±U(x) and dashed line is resonant potential ±V(x).

Fig. 2
Fig. 2

Atomic diffraction by the standing light wave. Vertical lines show the intensities of Bragg’s maxima, obtained by computer simulations of the experimental data processed according to Ref. 10 for the laser power: a, 5 MW and b, 10 MW. Circles show the heights of the peaks calculated by formula (14).

Fig. 3
Fig. 3

Scheme of the experimental setup.

Fig. 4
Fig. 4

Typical pulse of scattered atoms for a given transverse position of the detector.

Fig. 5
Fig. 5

Experimental dependence of the alternating component of the detector current on the transverse position of the detector.

Fig. 6
Fig. 6

The signal resulting from scattered atoms at the center of the beam as a function of the field strength for Gaussian (I) and parabolic (II) distributions of the laser beam intensity.

Fig. 7
Fig. 7

Theoretical dependence of the signal at the center of the atomic beam on the field strength for Gaussian (I), parabolic (II), and homogeneous (III) distributions of the laser beam intensity.

Fig. 8
Fig. 8

The signal at the center of the atomic beam as a function of the detuning from resonance for Gaussian (I) and parabolic (II) distributions at the laser beam radiation.

Fig. 9
Fig. 9

Theoretical dependence of the signal at the center of the atomic beam on the detuning for the homogeneous field distribution and various values of the field strength.

Equations (26)

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γ τ w < 1 ,
E ( x , t ) = E ( x ) exp { - i ( Δ + ω 0 ) t } + c . c . ,             E ( x ) = E 0 cos k x ,
i ψ t = [ - 2 2 2 M - Δ 2 σ 3 - V ( x ) σ 1 ] ψ , ψ = ( ψ b ψ a ) ,             V ( x ) = V 0 cos k x ,             V 0 = d E 0 ,
V 0 k v x ,
ψ 1 ( x ) = p 1 - 1 / 2 ( x ) [ v ( x ) u ( x ) ] exp [ i p 1 ( x ) d x / ] , ψ 2 ( x ) = p 2 - 1 / 2 ( x ) [ u ( x ) v ( x ) ] exp [ i p 2 ( x ) d x / ] , u ( x ) = { ( 1 / 2 ) [ 1 + Δ / 2 U ( x ) ] } 1 / 2 , v ( x ) = - sign V ( x ) { ( 1 / 2 ) [ 1 - Δ / 2 U ] } 1 / 2 , p 1 , 2 ( x ) = { 2 M [ E U ( x ) ] } 1 / 2 , U ( x ) = Δ 2 { 1 + [ 2 V ( x ) / Δ ] 2 } 1 / 2 .
Δ Δ 0 = ( V 0 k v x / ) 1 / 2 V 0 / ,
ψ = c 1 ψ 1 + c 2 ψ 2 .
( c 1 c 2 ) L ^ ( c 1 c 2 ) , L ^ = [ 1 - R 2 - R exp ( - i χ ) R 1 - R 2 exp ( i χ ) ] , R = exp ( - π ξ ) ,             ξ = ( Δ / Δ 0 ) 2 / 8 , χ = ( π / 4 ) - ξ ln ( l / ξ ) + arg Γ ( 1 - i ξ ) ,
p x t = - U x .
W ( p x ) = 0 π / k δ [ p x - p ( x 0 ) ] d x 0 .
Ω = k v x = k ( δ U / M ) 1 / 2 ,
p ( x 0 ) = - τ U x x = x 0 W ( p x ) = 1 π ( p 0 2 - p x 2 ) - 1 / 2 ,             p x < p 0 , p 0 = v 0 M = k Δ τ 2 [ 1 + ( 2 V 0 / Δ ) 2 - 1 ] 1 / 2 ,
i v y ψ y = - [ Δ 2 σ 3 + V ( x , y ) σ 1 ] ψ , V ( x , y ) = V 0 ( y ) cos k x ,
ψ ( x ) = ( 0 1 ) exp [ - i v y U ( x , y ) d y ] , U ( x , y ) = Δ 2 { 1 + [ 2 V ( x , y ) / Δ ] 2 } 1 / 2 .
W 2 n = J n 2 ( Z ) ,             Z = V 0 2 τ 2 2 Δ ,
W ( p x ) = n { W 2 n δ ( p x - 2 n k ) + W 2 n + 1 φ [ p x - ( 2 n + 1 ) k ] } , W 2 n + 1 = γ τ 2 Δ [ J n 2 ( Z ) + J n + 1 2 ( Z ) ] .
V 0 Δ             and             w γ τ ~ Z γ / Δ 1.
W ( p ) = 1 π [ ( 1 - A n p 1 2 - p 2 + 1 - A n + 1 p 2 2 - p 2 ) θ ( p 0 2 - p 2 ) + 2 A n p 2 2 - p 2 θ ( p - p 0 ) θ ( p 2 - p ) + 2 A n + 1 p 1 2 - p 2 θ ( p - p 0 ) θ ( p 1 - p ) ] , Θ ( z ) = { 1 , Z > 0 0 , Z < 0 ,             A n = R 2 sin 2 n δ sin 2 σ , cos δ = 1 - R 2 sin S ,             S = χ + 1 v 0 π / k U d x , p 0 = max [ U ( x ) - U ( x + v τ ) ] / v , p 1 , 2 = max [ U ( x ) - U ( x + v τ ) ] / v , n π k v τ < ( n + 1 ) π .
j ( x , t ) = 4 π s h l ( t 0 t ) 3 exp [ - ( t 0 / t ) 2 ] φ ( x t ) , φ ( x , t ) = d v W ( v ) f ( x - v t ) - f ( x ) ,
φ ( x , t 0 ) 1 2 f ( x ) t 0 2 v ¯ 2 ~ ξ 2 a 2 f ( x ) .
φ ( x , t 0 ) = { - f ( x ) , x < a v 0 ξ W ( x / t 0 ) , a x < a ξ .
φ ( 0 ) r a R = r 0 R - [ 2 ln ( E / E a ) ] 1 / 2 ,             E E a ,
Δ a = d E E E a ( Δ = 0 ) ,             E a ( Δ = 0 ) = M a d k τ t 0 85 V / cm .
η = N / τ γ ,
v x = p x / M - ( δ U / M ) 1 / 2 = Ω / k .
v x max ~ Ω k × 1 Ω τ = 1 k τ .

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