Abstract

We report on a novel pumping scheme for stimulated Raman scattering (SRS) that uses a Bessel beam. We have used this scheme for SRS from molecular vibrations in acetone and from a polariton mode in a LiIO3 crystal. A nearly diffraction-limited Stokes beam was observed along the cone axis of the Bessel beam. The generation mechanism of the Stokes beam is identified as being due to noncollinear scattering of the component plane waves that constitute the Bessel beam. Frequency tuning of SRS from polaritons in LiIO3 by variation of the Bessel beam cone angle is demonstrated.

© 1996 Optical Society of America

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  1. J. Gelbwachs, R. H. Pantell, H. E. Puthoff, J. M. YarboroughAppl. Phys. Lett. 14, 258 (1969).
    [CrossRef]
  2. J. M. Yaborough, S. S. Sussman, H. E. Puthoff, R. H. Pantell, B. C. JohnsonAppl. Phys. Lett. 15, 102 (1969). Although no external resonator was used here, the low-Q resonator formed by the parallel and polished faces of the crystal was essential for the achieved tuning effect.
    [CrossRef]
  3. J. DurninJ. Opt. Soc. Am. A 4, 651 (1987).
    [CrossRef]
  4. J. Durnin, J. Miceli, J. EberlyPhys. Rev. Lett. 58, 1499 (1987).
    [CrossRef] [PubMed]
  5. J. H. McLeodJ. Opt. Soc. Am. 44, 592 (1954).
    [CrossRef]
  6. G. IndebetouwJ. Opt. Soc. Am. A 6, 150 (1989).
    [CrossRef]
  7. T. Wulle, S. HerminghausPhys. Rev. Lett. 70, 1401 (1993).
    [CrossRef] [PubMed]
  8. F. P. SchäferAppl. Phys. B 39, 1 (1986).
    [CrossRef]
  9. M. G. Raymer, J. MostowskiPhys. Rev. A 24, 1980 (1981).
    [CrossRef]
  10. Y. N. PolivanovSov. Phys. Usp. 21, 805 (1978).
    [CrossRef]
  11. W. Otaguro, E. Wiener-Avnear, A. Arguello, S. P. S. PortoPhys. Rev. B 4, 4542 (1971).
    [CrossRef]
  12. R. ClausZ. Naturforsch. 25a, 306 (1970).
  13. H. W. SchrötterZ. Naturforsch. 26a, 165 (1971).
  14. R. Claus, W. Schrötter, H. H. Hacker, S. HaussühlZ. Naturforsch. 24a, 1733 (1969).

1993

T. Wulle, S. HerminghausPhys. Rev. Lett. 70, 1401 (1993).
[CrossRef] [PubMed]

1989

1987

J. DurninJ. Opt. Soc. Am. A 4, 651 (1987).
[CrossRef]

J. Durnin, J. Miceli, J. EberlyPhys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

1986

F. P. SchäferAppl. Phys. B 39, 1 (1986).
[CrossRef]

1981

M. G. Raymer, J. MostowskiPhys. Rev. A 24, 1980 (1981).
[CrossRef]

1978

Y. N. PolivanovSov. Phys. Usp. 21, 805 (1978).
[CrossRef]

1971

W. Otaguro, E. Wiener-Avnear, A. Arguello, S. P. S. PortoPhys. Rev. B 4, 4542 (1971).
[CrossRef]

H. W. SchrötterZ. Naturforsch. 26a, 165 (1971).

1970

R. ClausZ. Naturforsch. 25a, 306 (1970).

1969

J. Gelbwachs, R. H. Pantell, H. E. Puthoff, J. M. YarboroughAppl. Phys. Lett. 14, 258 (1969).
[CrossRef]

J. M. Yaborough, S. S. Sussman, H. E. Puthoff, R. H. Pantell, B. C. JohnsonAppl. Phys. Lett. 15, 102 (1969). Although no external resonator was used here, the low-Q resonator formed by the parallel and polished faces of the crystal was essential for the achieved tuning effect.
[CrossRef]

R. Claus, W. Schrötter, H. H. Hacker, S. HaussühlZ. Naturforsch. 24a, 1733 (1969).

1954

Arguello, A.

W. Otaguro, E. Wiener-Avnear, A. Arguello, S. P. S. PortoPhys. Rev. B 4, 4542 (1971).
[CrossRef]

Claus, R.

R. ClausZ. Naturforsch. 25a, 306 (1970).

R. Claus, W. Schrötter, H. H. Hacker, S. HaussühlZ. Naturforsch. 24a, 1733 (1969).

Durnin, J.

J. DurninJ. Opt. Soc. Am. A 4, 651 (1987).
[CrossRef]

J. Durnin, J. Miceli, J. EberlyPhys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

Eberly, J.

J. Durnin, J. Miceli, J. EberlyPhys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

Gelbwachs, J.

J. Gelbwachs, R. H. Pantell, H. E. Puthoff, J. M. YarboroughAppl. Phys. Lett. 14, 258 (1969).
[CrossRef]

Hacker, H. H.

R. Claus, W. Schrötter, H. H. Hacker, S. HaussühlZ. Naturforsch. 24a, 1733 (1969).

Haussühl, S.

R. Claus, W. Schrötter, H. H. Hacker, S. HaussühlZ. Naturforsch. 24a, 1733 (1969).

Herminghaus, S.

T. Wulle, S. HerminghausPhys. Rev. Lett. 70, 1401 (1993).
[CrossRef] [PubMed]

Indebetouw, G.

Johnson, B. C.

J. M. Yaborough, S. S. Sussman, H. E. Puthoff, R. H. Pantell, B. C. JohnsonAppl. Phys. Lett. 15, 102 (1969). Although no external resonator was used here, the low-Q resonator formed by the parallel and polished faces of the crystal was essential for the achieved tuning effect.
[CrossRef]

McLeod, J. H.

Miceli, J.

J. Durnin, J. Miceli, J. EberlyPhys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

Mostowski, J.

M. G. Raymer, J. MostowskiPhys. Rev. A 24, 1980 (1981).
[CrossRef]

Otaguro, W.

W. Otaguro, E. Wiener-Avnear, A. Arguello, S. P. S. PortoPhys. Rev. B 4, 4542 (1971).
[CrossRef]

Pantell, R. H.

J. Gelbwachs, R. H. Pantell, H. E. Puthoff, J. M. YarboroughAppl. Phys. Lett. 14, 258 (1969).
[CrossRef]

J. M. Yaborough, S. S. Sussman, H. E. Puthoff, R. H. Pantell, B. C. JohnsonAppl. Phys. Lett. 15, 102 (1969). Although no external resonator was used here, the low-Q resonator formed by the parallel and polished faces of the crystal was essential for the achieved tuning effect.
[CrossRef]

Polivanov, Y. N.

Y. N. PolivanovSov. Phys. Usp. 21, 805 (1978).
[CrossRef]

Porto, S. P. S.

W. Otaguro, E. Wiener-Avnear, A. Arguello, S. P. S. PortoPhys. Rev. B 4, 4542 (1971).
[CrossRef]

Puthoff, H. E.

J. M. Yaborough, S. S. Sussman, H. E. Puthoff, R. H. Pantell, B. C. JohnsonAppl. Phys. Lett. 15, 102 (1969). Although no external resonator was used here, the low-Q resonator formed by the parallel and polished faces of the crystal was essential for the achieved tuning effect.
[CrossRef]

J. Gelbwachs, R. H. Pantell, H. E. Puthoff, J. M. YarboroughAppl. Phys. Lett. 14, 258 (1969).
[CrossRef]

Raymer, M. G.

M. G. Raymer, J. MostowskiPhys. Rev. A 24, 1980 (1981).
[CrossRef]

Schäfer, F. P.

F. P. SchäferAppl. Phys. B 39, 1 (1986).
[CrossRef]

Schrötter, H. W.

H. W. SchrötterZ. Naturforsch. 26a, 165 (1971).

Schrötter, W.

R. Claus, W. Schrötter, H. H. Hacker, S. HaussühlZ. Naturforsch. 24a, 1733 (1969).

Sussman, S. S.

J. M. Yaborough, S. S. Sussman, H. E. Puthoff, R. H. Pantell, B. C. JohnsonAppl. Phys. Lett. 15, 102 (1969). Although no external resonator was used here, the low-Q resonator formed by the parallel and polished faces of the crystal was essential for the achieved tuning effect.
[CrossRef]

Wiener-Avnear, E.

W. Otaguro, E. Wiener-Avnear, A. Arguello, S. P. S. PortoPhys. Rev. B 4, 4542 (1971).
[CrossRef]

Wulle, T.

T. Wulle, S. HerminghausPhys. Rev. Lett. 70, 1401 (1993).
[CrossRef] [PubMed]

Yaborough, J. M.

J. M. Yaborough, S. S. Sussman, H. E. Puthoff, R. H. Pantell, B. C. JohnsonAppl. Phys. Lett. 15, 102 (1969). Although no external resonator was used here, the low-Q resonator formed by the parallel and polished faces of the crystal was essential for the achieved tuning effect.
[CrossRef]

Yarborough, J. M.

J. Gelbwachs, R. H. Pantell, H. E. Puthoff, J. M. YarboroughAppl. Phys. Lett. 14, 258 (1969).
[CrossRef]

Appl. Phys. B

F. P. SchäferAppl. Phys. B 39, 1 (1986).
[CrossRef]

Appl. Phys. Lett.

J. Gelbwachs, R. H. Pantell, H. E. Puthoff, J. M. YarboroughAppl. Phys. Lett. 14, 258 (1969).
[CrossRef]

J. M. Yaborough, S. S. Sussman, H. E. Puthoff, R. H. Pantell, B. C. JohnsonAppl. Phys. Lett. 15, 102 (1969). Although no external resonator was used here, the low-Q resonator formed by the parallel and polished faces of the crystal was essential for the achieved tuning effect.
[CrossRef]

J. Opt. Soc. Am.

J. Opt. Soc. Am. A

Phys. Rev. A

M. G. Raymer, J. MostowskiPhys. Rev. A 24, 1980 (1981).
[CrossRef]

Phys. Rev. B

W. Otaguro, E. Wiener-Avnear, A. Arguello, S. P. S. PortoPhys. Rev. B 4, 4542 (1971).
[CrossRef]

Phys. Rev. Lett.

T. Wulle, S. HerminghausPhys. Rev. Lett. 70, 1401 (1993).
[CrossRef] [PubMed]

J. Durnin, J. Miceli, J. EberlyPhys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

Sov. Phys. Usp.

Y. N. PolivanovSov. Phys. Usp. 21, 805 (1978).
[CrossRef]

Z. Naturforsch.

R. ClausZ. Naturforsch. 25a, 306 (1970).

H. W. SchrötterZ. Naturforsch. 26a, 165 (1971).

R. Claus, W. Schrötter, H. H. Hacker, S. HaussühlZ. Naturforsch. 24a, 1733 (1969).

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Figures (3)

Fig. 1
Fig. 1

Far-field pattern of SRS in acetone pumped with a Bessel beam. The outer ring is the far field of the pump Bessel beam at 532 nm. The central spot is the Raman-shifted beam at 629.9 nm.

Fig. 2
Fig. 2

Wave-vector diagram of forward Stokes beam generation. KL, KS, and Q are the wave vectors of the pump, Stokes, and material excitation waves, respectively.

Fig. 3
Fig. 3

Tunable SRS from polaritons in a LiIO3 crystal. The Raman Stokes shift is plotted relative to the steepness γ of the Bessel beam for ordinary and extraordinary polarizations of the pump beam. The solid curves are the calculated tuning curves.

Equations (5)

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E = E 0 exp [ i ( β z ω t ) ] J 0 ( α r ) ,
sin ( γ ) = ( n 1 ) tan ( δ ) .
ω S + Ω = ω L ,
k S ( ω S ) + Q ( Ω ) = k L ( ω L ) ,
Q 2 ( Ω ) = k L 2 ( ω L ) + k S 2 ( ω L Ω ) 2 k L ( ω L ) k S ( ω L Ω ) cos γ ,

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