Abstract

The spatial structure of Raman-converted radiation was investigated numerically and experimentally for the case when the pump is a conical beam produced by an axicone from multimode laser radiation. Both conical and axial Stokes beam generation was found to be possible. The improvement of the laser beam quality was demonstrated numerically and supported by experiment on Raman conversion in barium nitrate crystal. The laser beam with the beam quality factor M2=11 was converted into the axial Stokes beam with M2=3.5 at the conversion efficiency of 20%. A two-times increase in the Stokes beam brightness was obtained.

© 2006 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. J. Reintjes, R. H. Lehmberg, R. S. F. Chang, M. T. Duignan, and G. Calame, "Beam cleanup with stimulated Raman scattering in the intensity-averaging regime," J. Opt. Soc. Am. B 3, 1408-1426 (1986).
    [CrossRef]
  2. J. T. Murray, W. L. Austin, and R. C. Powell, "Intracavity Raman conversion and Raman beam cleanup," Opt. Mater. (Amsterdam, Neth.) 11, 353-371 (1999).
  3. H. Komine, W. H. Long, Jr., E. A. Stappaerts, and S. J. Brosnan, "Beam cleanup and low-distortion amplification in efficient high-gain hydrogen Raman amplifiers," J. Opt. Soc. Am. B 3, 1428-1446 (1986).
    [CrossRef]
  4. A. Flusberg and D. Korff, "Wave-front replication versus beam cleanup by stimulated Raman scattering," J. Opt. Soc. Am. B 4, 687-690 (1987).
    [CrossRef]
  5. D. Korff, E. Mazur, C. Duzy, and A. Flusberg, "Raman conversion using crossed broadband pump beams and bisecting Stokes," J. Opt. Soc. Am. B 3, 1333-1337(1986).
    [CrossRef]
  6. R. M. Herman and T. A. Wiggins, "Production and uses of diffractionless beams," J. Opt. Soc. Am. B 8, 932-942 (1991).
    [CrossRef]
  7. I. Golub, "Superluminal-source-induced emission," Opt. Lett. 20, 1847-1849 (1995).
    [CrossRef] [PubMed]
  8. S. Klewitz, P. Leiderer, and S. Herminghaus, "Tunable stimulated Raman scattering by pumping with Bessel beams," Opt. Lett. 21, 248-250 (1996).
    [CrossRef] [PubMed]
  9. L. Niggl and M. Maier, "Gain-guided modes in stimulated Raman scattering process with diffraction-free pump beams," Opt. Commun. 154, 65-69 (1998).
    [CrossRef]
  10. R. Gadonas, V. Jarutis, A. Marcinkevicius, V. Smilgevicius, A. Stabinis, and V. Vaicaitis, "Transverse phase-matching in stimulated Raman scattering by a Bessel beam," Opt. Commun. 169, 189-197 (1999).
    [CrossRef]
  11. V. Vaicaitis, A. Stabinis, A. Marcinkevicius, and V. Jarutis, "Second-order Stokes and anti-Stokes coupling in stimulated Raman scattering by Bessel beam," Opt. Commun. 178, 461-467 (2000).
    [CrossRef]
  12. V. N. Belyi, N. A. Khilo, V. A. Orlovich, A. S. Grabtchikov, R. V. Chulkov, and V. A. Lisinetskii, "Modal theory and output patterns of Stokes radiation in SRS: generation at pump with Bessel light beams," in ICONO 2001: Nonlinear Optical Phenomena and Nonlinear Dynamics of Optical Systems, K.N.Drabovich, N.S.Kazak, V.A.Makarov, and A.P.Voitovich, Proc. SPIE 4751, 389-394 (2002).
  13. A. S. Grabtchikov, R. V. Chulkov, V. A. Orlovich, M. Schmitt, R. Maksimenko, and W. Kiefer, "Observation of Raman conversion for 70-fs pulses in KGd(WO4)2 crystal inthe regime of impulsive stimulated Raman scattering," Opt. Lett. 28, 926-928 (2003).
    [CrossRef] [PubMed]
  14. N. A. Khilo, R. V. Chulkov, V. N. Belyi, N. S. Kazak, A. S. Grabtchikov, and V. A. Orlovich, "Properties of Raman Stokes light generated by a zero-order Bessel pump beam," preprint 740 (B. I. Stepanov Institute of Physics of National Academy of Sciences, 2004).
  15. P. Apanasevich, R. Chulkov, and G. Timofeeva, "Comparison of SRS thresholds under pumping by Gaussian and Bessel beams," J. Appl. Spectrosc. 71, 851-862(2004).
    [CrossRef]
  16. U. Th. Schwarz, J. Zeitler, J. Baier, M. Maier, and S. Sogomonian, "Stimulated anti-Stokes Raman scattering with Bessel beams in hydrogen gas," J. Opt. Soc. Am. B 20, 1750-1757 (2003).
    [CrossRef]
  17. B. Zel'dovich and V. Shkunov, "Wavefront reproduction in stimulated Raman scattering," Sov. J. Quantum Electron. 7, 610-615 (1977).
    [CrossRef]
  18. S.-C. Sheng and A. E. Siegman, "Nonlinear-optical calculations using fast-transform methods: second-harmonic generation with depletion and diffraction," Phys. Rev. A 21, 599-606 (1980).
    [CrossRef]
  19. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in Fortran (Cambridge U. Press, 1992).
  20. ISO 11146:1999 (International Organization for Standardization, 1999).
  21. A. Penzkofer, A. Laubereau, and W. Kaiser, "High intensity Raman interactions," Prog. Quantum Electron. 6, 55-140 (1979).
    [CrossRef]
  22. D. C. MacPherson, R. C. Swanson, and J. L. Carlsten, "Quantum fluctuations in the stimulated-Raman-scattering linewidth," Phys. Rev. Lett. 61, 66-69 (1988).
    [CrossRef] [PubMed]
  23. J. C. van den Heuvel, "Numerical study of beam cleanup by stimulated Raman scattering," J. Opt. Soc. Am. B 12, 650-657 (1995).
    [CrossRef]
  24. J. Durnin, "Exact solution for nondiffracting beams. I. The scalar theory," J. Opt. Soc. Am. A 4, 651-654 (1987).
    [CrossRef]
  25. P. R. Battle, J. G. Wessel, and J. L. Carlsten, "Gain-guiding effects in an amplifier with focused gain," Phys. Rev. A 48, 707-716 (1993).
    [CrossRef] [PubMed]
  26. P. G. Zverev, T. T. Basiev, V. V. Osiko, A. M. Kulkov, V. N. Voitsekhovskii, and V. E. Yakobson, "Physical, chemical, and optical properties of barium nitrate Raman crystal," Opt. Mater. (Amsterdam, Neth.) 11, 315-334 (1999).
  27. V. A. Lisinetskii, I. I. Mishkel', R. V. Chulkov, A. S. Grabtchikov, P. A. Apanasevich, H.-J. Eichler, and V. A. Orlovich, "Raman gain coefficient of barium nitrate measured for the spectral region of Ti:sapphire laser," J. Nonlinear Opt. Phys. Mater. 14, 107-114 (2005).
    [CrossRef]
  28. R. Gadonas, A. Marcinkevicius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, "Travelling wave optical parametric generator pumped by a conical beam," Opt. Commun. 146, 253-256 (1998).
    [CrossRef]
  29. R. B. Gwynn and D. A. Christensen, "Method for accurate optical alignment using diffraction rings from lenses with spherical aberration," Appl. Opt. 32, 1210-1215 (1993).
    [CrossRef] [PubMed]
  30. J. Arlt, V. Garces-Chavez, W. Sibbert, and K. Dholakia, "Optical micromanipulation using a Bessel light beam," Opt. Commun. 197, 239-245 (2001).
    [CrossRef]
  31. M. Erdélyi, Z. L. Horváth, G. Szabó, Zs. Bor, F. K. Tittel, J. R. Cavallaro, and M. C. Smayling, "Generation of diffraction-free beams for application in optical microlithography," J. Vac. Sci. Technol. B 15, 287-292 (1997).
    [CrossRef]
  32. Z. Ding, H. Ren, Y. Zhao, J. S. Nelson, and Z. Chen, "High-resolution optical tomography over a large depth range with an axicone lens," Opt. Lett. 27, 243-245 (2002).
    [CrossRef]

2005 (1)

V. A. Lisinetskii, I. I. Mishkel', R. V. Chulkov, A. S. Grabtchikov, P. A. Apanasevich, H.-J. Eichler, and V. A. Orlovich, "Raman gain coefficient of barium nitrate measured for the spectral region of Ti:sapphire laser," J. Nonlinear Opt. Phys. Mater. 14, 107-114 (2005).
[CrossRef]

2004 (1)

P. Apanasevich, R. Chulkov, and G. Timofeeva, "Comparison of SRS thresholds under pumping by Gaussian and Bessel beams," J. Appl. Spectrosc. 71, 851-862(2004).
[CrossRef]

2003 (2)

2002 (1)

2001 (1)

J. Arlt, V. Garces-Chavez, W. Sibbert, and K. Dholakia, "Optical micromanipulation using a Bessel light beam," Opt. Commun. 197, 239-245 (2001).
[CrossRef]

2000 (1)

V. Vaicaitis, A. Stabinis, A. Marcinkevicius, and V. Jarutis, "Second-order Stokes and anti-Stokes coupling in stimulated Raman scattering by Bessel beam," Opt. Commun. 178, 461-467 (2000).
[CrossRef]

1999 (3)

J. T. Murray, W. L. Austin, and R. C. Powell, "Intracavity Raman conversion and Raman beam cleanup," Opt. Mater. (Amsterdam, Neth.) 11, 353-371 (1999).

R. Gadonas, V. Jarutis, A. Marcinkevicius, V. Smilgevicius, A. Stabinis, and V. Vaicaitis, "Transverse phase-matching in stimulated Raman scattering by a Bessel beam," Opt. Commun. 169, 189-197 (1999).
[CrossRef]

P. G. Zverev, T. T. Basiev, V. V. Osiko, A. M. Kulkov, V. N. Voitsekhovskii, and V. E. Yakobson, "Physical, chemical, and optical properties of barium nitrate Raman crystal," Opt. Mater. (Amsterdam, Neth.) 11, 315-334 (1999).

1998 (2)

L. Niggl and M. Maier, "Gain-guided modes in stimulated Raman scattering process with diffraction-free pump beams," Opt. Commun. 154, 65-69 (1998).
[CrossRef]

R. Gadonas, A. Marcinkevicius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, "Travelling wave optical parametric generator pumped by a conical beam," Opt. Commun. 146, 253-256 (1998).
[CrossRef]

1997 (1)

M. Erdélyi, Z. L. Horváth, G. Szabó, Zs. Bor, F. K. Tittel, J. R. Cavallaro, and M. C. Smayling, "Generation of diffraction-free beams for application in optical microlithography," J. Vac. Sci. Technol. B 15, 287-292 (1997).
[CrossRef]

1996 (1)

1995 (2)

1993 (2)

1991 (1)

R. M. Herman and T. A. Wiggins, "Production and uses of diffractionless beams," J. Opt. Soc. Am. B 8, 932-942 (1991).
[CrossRef]

1988 (1)

D. C. MacPherson, R. C. Swanson, and J. L. Carlsten, "Quantum fluctuations in the stimulated-Raman-scattering linewidth," Phys. Rev. Lett. 61, 66-69 (1988).
[CrossRef] [PubMed]

1987 (2)

1986 (3)

1980 (1)

S.-C. Sheng and A. E. Siegman, "Nonlinear-optical calculations using fast-transform methods: second-harmonic generation with depletion and diffraction," Phys. Rev. A 21, 599-606 (1980).
[CrossRef]

1979 (1)

A. Penzkofer, A. Laubereau, and W. Kaiser, "High intensity Raman interactions," Prog. Quantum Electron. 6, 55-140 (1979).
[CrossRef]

1977 (1)

B. Zel'dovich and V. Shkunov, "Wavefront reproduction in stimulated Raman scattering," Sov. J. Quantum Electron. 7, 610-615 (1977).
[CrossRef]

Apanasevich, P.

P. Apanasevich, R. Chulkov, and G. Timofeeva, "Comparison of SRS thresholds under pumping by Gaussian and Bessel beams," J. Appl. Spectrosc. 71, 851-862(2004).
[CrossRef]

Apanasevich, P. A.

V. A. Lisinetskii, I. I. Mishkel', R. V. Chulkov, A. S. Grabtchikov, P. A. Apanasevich, H.-J. Eichler, and V. A. Orlovich, "Raman gain coefficient of barium nitrate measured for the spectral region of Ti:sapphire laser," J. Nonlinear Opt. Phys. Mater. 14, 107-114 (2005).
[CrossRef]

Arlt, J.

J. Arlt, V. Garces-Chavez, W. Sibbert, and K. Dholakia, "Optical micromanipulation using a Bessel light beam," Opt. Commun. 197, 239-245 (2001).
[CrossRef]

Austin, W. L.

J. T. Murray, W. L. Austin, and R. C. Powell, "Intracavity Raman conversion and Raman beam cleanup," Opt. Mater. (Amsterdam, Neth.) 11, 353-371 (1999).

Baier, J.

Basiev, T. T.

P. G. Zverev, T. T. Basiev, V. V. Osiko, A. M. Kulkov, V. N. Voitsekhovskii, and V. E. Yakobson, "Physical, chemical, and optical properties of barium nitrate Raman crystal," Opt. Mater. (Amsterdam, Neth.) 11, 315-334 (1999).

Battle, P. R.

P. R. Battle, J. G. Wessel, and J. L. Carlsten, "Gain-guiding effects in an amplifier with focused gain," Phys. Rev. A 48, 707-716 (1993).
[CrossRef] [PubMed]

Belyi, V. N.

N. A. Khilo, R. V. Chulkov, V. N. Belyi, N. S. Kazak, A. S. Grabtchikov, and V. A. Orlovich, "Properties of Raman Stokes light generated by a zero-order Bessel pump beam," preprint 740 (B. I. Stepanov Institute of Physics of National Academy of Sciences, 2004).

V. N. Belyi, N. A. Khilo, V. A. Orlovich, A. S. Grabtchikov, R. V. Chulkov, and V. A. Lisinetskii, "Modal theory and output patterns of Stokes radiation in SRS: generation at pump with Bessel light beams," in ICONO 2001: Nonlinear Optical Phenomena and Nonlinear Dynamics of Optical Systems, K.N.Drabovich, N.S.Kazak, V.A.Makarov, and A.P.Voitovich, Proc. SPIE 4751, 389-394 (2002).

Bor, Zs.

M. Erdélyi, Z. L. Horváth, G. Szabó, Zs. Bor, F. K. Tittel, J. R. Cavallaro, and M. C. Smayling, "Generation of diffraction-free beams for application in optical microlithography," J. Vac. Sci. Technol. B 15, 287-292 (1997).
[CrossRef]

Brosnan, S. J.

Calame, G.

Carlsten, J. L.

P. R. Battle, J. G. Wessel, and J. L. Carlsten, "Gain-guiding effects in an amplifier with focused gain," Phys. Rev. A 48, 707-716 (1993).
[CrossRef] [PubMed]

D. C. MacPherson, R. C. Swanson, and J. L. Carlsten, "Quantum fluctuations in the stimulated-Raman-scattering linewidth," Phys. Rev. Lett. 61, 66-69 (1988).
[CrossRef] [PubMed]

Cavallaro, J. R.

M. Erdélyi, Z. L. Horváth, G. Szabó, Zs. Bor, F. K. Tittel, J. R. Cavallaro, and M. C. Smayling, "Generation of diffraction-free beams for application in optical microlithography," J. Vac. Sci. Technol. B 15, 287-292 (1997).
[CrossRef]

Chang, R. S. F.

Chen, Z.

Christensen, D. A.

Chulkov, R.

P. Apanasevich, R. Chulkov, and G. Timofeeva, "Comparison of SRS thresholds under pumping by Gaussian and Bessel beams," J. Appl. Spectrosc. 71, 851-862(2004).
[CrossRef]

Chulkov, R. V.

V. A. Lisinetskii, I. I. Mishkel', R. V. Chulkov, A. S. Grabtchikov, P. A. Apanasevich, H.-J. Eichler, and V. A. Orlovich, "Raman gain coefficient of barium nitrate measured for the spectral region of Ti:sapphire laser," J. Nonlinear Opt. Phys. Mater. 14, 107-114 (2005).
[CrossRef]

A. S. Grabtchikov, R. V. Chulkov, V. A. Orlovich, M. Schmitt, R. Maksimenko, and W. Kiefer, "Observation of Raman conversion for 70-fs pulses in KGd(WO4)2 crystal inthe regime of impulsive stimulated Raman scattering," Opt. Lett. 28, 926-928 (2003).
[CrossRef] [PubMed]

N. A. Khilo, R. V. Chulkov, V. N. Belyi, N. S. Kazak, A. S. Grabtchikov, and V. A. Orlovich, "Properties of Raman Stokes light generated by a zero-order Bessel pump beam," preprint 740 (B. I. Stepanov Institute of Physics of National Academy of Sciences, 2004).

V. N. Belyi, N. A. Khilo, V. A. Orlovich, A. S. Grabtchikov, R. V. Chulkov, and V. A. Lisinetskii, "Modal theory and output patterns of Stokes radiation in SRS: generation at pump with Bessel light beams," in ICONO 2001: Nonlinear Optical Phenomena and Nonlinear Dynamics of Optical Systems, K.N.Drabovich, N.S.Kazak, V.A.Makarov, and A.P.Voitovich, Proc. SPIE 4751, 389-394 (2002).

Dholakia, K.

J. Arlt, V. Garces-Chavez, W. Sibbert, and K. Dholakia, "Optical micromanipulation using a Bessel light beam," Opt. Commun. 197, 239-245 (2001).
[CrossRef]

Ding, Z.

Duignan, M. T.

Durnin, J.

Duzy, C.

Eichler, H.-J.

V. A. Lisinetskii, I. I. Mishkel', R. V. Chulkov, A. S. Grabtchikov, P. A. Apanasevich, H.-J. Eichler, and V. A. Orlovich, "Raman gain coefficient of barium nitrate measured for the spectral region of Ti:sapphire laser," J. Nonlinear Opt. Phys. Mater. 14, 107-114 (2005).
[CrossRef]

Erdélyi, M.

M. Erdélyi, Z. L. Horváth, G. Szabó, Zs. Bor, F. K. Tittel, J. R. Cavallaro, and M. C. Smayling, "Generation of diffraction-free beams for application in optical microlithography," J. Vac. Sci. Technol. B 15, 287-292 (1997).
[CrossRef]

Flannery, B. P.

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in Fortran (Cambridge U. Press, 1992).

Flusberg, A.

Gadonas, R.

R. Gadonas, V. Jarutis, A. Marcinkevicius, V. Smilgevicius, A. Stabinis, and V. Vaicaitis, "Transverse phase-matching in stimulated Raman scattering by a Bessel beam," Opt. Commun. 169, 189-197 (1999).
[CrossRef]

R. Gadonas, A. Marcinkevicius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, "Travelling wave optical parametric generator pumped by a conical beam," Opt. Commun. 146, 253-256 (1998).
[CrossRef]

Garces-Chavez, V.

J. Arlt, V. Garces-Chavez, W. Sibbert, and K. Dholakia, "Optical micromanipulation using a Bessel light beam," Opt. Commun. 197, 239-245 (2001).
[CrossRef]

Golub, I.

Grabtchikov, A. S.

V. A. Lisinetskii, I. I. Mishkel', R. V. Chulkov, A. S. Grabtchikov, P. A. Apanasevich, H.-J. Eichler, and V. A. Orlovich, "Raman gain coefficient of barium nitrate measured for the spectral region of Ti:sapphire laser," J. Nonlinear Opt. Phys. Mater. 14, 107-114 (2005).
[CrossRef]

A. S. Grabtchikov, R. V. Chulkov, V. A. Orlovich, M. Schmitt, R. Maksimenko, and W. Kiefer, "Observation of Raman conversion for 70-fs pulses in KGd(WO4)2 crystal inthe regime of impulsive stimulated Raman scattering," Opt. Lett. 28, 926-928 (2003).
[CrossRef] [PubMed]

V. N. Belyi, N. A. Khilo, V. A. Orlovich, A. S. Grabtchikov, R. V. Chulkov, and V. A. Lisinetskii, "Modal theory and output patterns of Stokes radiation in SRS: generation at pump with Bessel light beams," in ICONO 2001: Nonlinear Optical Phenomena and Nonlinear Dynamics of Optical Systems, K.N.Drabovich, N.S.Kazak, V.A.Makarov, and A.P.Voitovich, Proc. SPIE 4751, 389-394 (2002).

N. A. Khilo, R. V. Chulkov, V. N. Belyi, N. S. Kazak, A. S. Grabtchikov, and V. A. Orlovich, "Properties of Raman Stokes light generated by a zero-order Bessel pump beam," preprint 740 (B. I. Stepanov Institute of Physics of National Academy of Sciences, 2004).

Gwynn, R. B.

Herman, R. M.

R. M. Herman and T. A. Wiggins, "Production and uses of diffractionless beams," J. Opt. Soc. Am. B 8, 932-942 (1991).
[CrossRef]

Herminghaus, S.

Horváth, Z. L.

M. Erdélyi, Z. L. Horváth, G. Szabó, Zs. Bor, F. K. Tittel, J. R. Cavallaro, and M. C. Smayling, "Generation of diffraction-free beams for application in optical microlithography," J. Vac. Sci. Technol. B 15, 287-292 (1997).
[CrossRef]

Jarutis, V.

V. Vaicaitis, A. Stabinis, A. Marcinkevicius, and V. Jarutis, "Second-order Stokes and anti-Stokes coupling in stimulated Raman scattering by Bessel beam," Opt. Commun. 178, 461-467 (2000).
[CrossRef]

R. Gadonas, V. Jarutis, A. Marcinkevicius, V. Smilgevicius, A. Stabinis, and V. Vaicaitis, "Transverse phase-matching in stimulated Raman scattering by a Bessel beam," Opt. Commun. 169, 189-197 (1999).
[CrossRef]

Kaiser, W.

A. Penzkofer, A. Laubereau, and W. Kaiser, "High intensity Raman interactions," Prog. Quantum Electron. 6, 55-140 (1979).
[CrossRef]

Kazak, N. S.

N. A. Khilo, R. V. Chulkov, V. N. Belyi, N. S. Kazak, A. S. Grabtchikov, and V. A. Orlovich, "Properties of Raman Stokes light generated by a zero-order Bessel pump beam," preprint 740 (B. I. Stepanov Institute of Physics of National Academy of Sciences, 2004).

Khilo, N. A.

N. A. Khilo, R. V. Chulkov, V. N. Belyi, N. S. Kazak, A. S. Grabtchikov, and V. A. Orlovich, "Properties of Raman Stokes light generated by a zero-order Bessel pump beam," preprint 740 (B. I. Stepanov Institute of Physics of National Academy of Sciences, 2004).

V. N. Belyi, N. A. Khilo, V. A. Orlovich, A. S. Grabtchikov, R. V. Chulkov, and V. A. Lisinetskii, "Modal theory and output patterns of Stokes radiation in SRS: generation at pump with Bessel light beams," in ICONO 2001: Nonlinear Optical Phenomena and Nonlinear Dynamics of Optical Systems, K.N.Drabovich, N.S.Kazak, V.A.Makarov, and A.P.Voitovich, Proc. SPIE 4751, 389-394 (2002).

Kiefer, W.

Klewitz, S.

Komine, H.

Korff, D.

Kulkov, A. M.

P. G. Zverev, T. T. Basiev, V. V. Osiko, A. M. Kulkov, V. N. Voitsekhovskii, and V. E. Yakobson, "Physical, chemical, and optical properties of barium nitrate Raman crystal," Opt. Mater. (Amsterdam, Neth.) 11, 315-334 (1999).

Laubereau, A.

A. Penzkofer, A. Laubereau, and W. Kaiser, "High intensity Raman interactions," Prog. Quantum Electron. 6, 55-140 (1979).
[CrossRef]

Lehmberg, R. H.

Leiderer, P.

Lisinetskii, V. A.

V. A. Lisinetskii, I. I. Mishkel', R. V. Chulkov, A. S. Grabtchikov, P. A. Apanasevich, H.-J. Eichler, and V. A. Orlovich, "Raman gain coefficient of barium nitrate measured for the spectral region of Ti:sapphire laser," J. Nonlinear Opt. Phys. Mater. 14, 107-114 (2005).
[CrossRef]

V. N. Belyi, N. A. Khilo, V. A. Orlovich, A. S. Grabtchikov, R. V. Chulkov, and V. A. Lisinetskii, "Modal theory and output patterns of Stokes radiation in SRS: generation at pump with Bessel light beams," in ICONO 2001: Nonlinear Optical Phenomena and Nonlinear Dynamics of Optical Systems, K.N.Drabovich, N.S.Kazak, V.A.Makarov, and A.P.Voitovich, Proc. SPIE 4751, 389-394 (2002).

Long, W. H.

MacPherson, D. C.

D. C. MacPherson, R. C. Swanson, and J. L. Carlsten, "Quantum fluctuations in the stimulated-Raman-scattering linewidth," Phys. Rev. Lett. 61, 66-69 (1988).
[CrossRef] [PubMed]

Maier, M.

U. Th. Schwarz, J. Zeitler, J. Baier, M. Maier, and S. Sogomonian, "Stimulated anti-Stokes Raman scattering with Bessel beams in hydrogen gas," J. Opt. Soc. Am. B 20, 1750-1757 (2003).
[CrossRef]

L. Niggl and M. Maier, "Gain-guided modes in stimulated Raman scattering process with diffraction-free pump beams," Opt. Commun. 154, 65-69 (1998).
[CrossRef]

Maksimenko, R.

Marcinkevicius, A.

V. Vaicaitis, A. Stabinis, A. Marcinkevicius, and V. Jarutis, "Second-order Stokes and anti-Stokes coupling in stimulated Raman scattering by Bessel beam," Opt. Commun. 178, 461-467 (2000).
[CrossRef]

R. Gadonas, V. Jarutis, A. Marcinkevicius, V. Smilgevicius, A. Stabinis, and V. Vaicaitis, "Transverse phase-matching in stimulated Raman scattering by a Bessel beam," Opt. Commun. 169, 189-197 (1999).
[CrossRef]

R. Gadonas, A. Marcinkevicius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, "Travelling wave optical parametric generator pumped by a conical beam," Opt. Commun. 146, 253-256 (1998).
[CrossRef]

Mazur, E.

Mishkel', I. I.

V. A. Lisinetskii, I. I. Mishkel', R. V. Chulkov, A. S. Grabtchikov, P. A. Apanasevich, H.-J. Eichler, and V. A. Orlovich, "Raman gain coefficient of barium nitrate measured for the spectral region of Ti:sapphire laser," J. Nonlinear Opt. Phys. Mater. 14, 107-114 (2005).
[CrossRef]

Murray, J. T.

J. T. Murray, W. L. Austin, and R. C. Powell, "Intracavity Raman conversion and Raman beam cleanup," Opt. Mater. (Amsterdam, Neth.) 11, 353-371 (1999).

Nelson, J. S.

Niggl, L.

L. Niggl and M. Maier, "Gain-guided modes in stimulated Raman scattering process with diffraction-free pump beams," Opt. Commun. 154, 65-69 (1998).
[CrossRef]

Orlovich, V. A.

V. A. Lisinetskii, I. I. Mishkel', R. V. Chulkov, A. S. Grabtchikov, P. A. Apanasevich, H.-J. Eichler, and V. A. Orlovich, "Raman gain coefficient of barium nitrate measured for the spectral region of Ti:sapphire laser," J. Nonlinear Opt. Phys. Mater. 14, 107-114 (2005).
[CrossRef]

A. S. Grabtchikov, R. V. Chulkov, V. A. Orlovich, M. Schmitt, R. Maksimenko, and W. Kiefer, "Observation of Raman conversion for 70-fs pulses in KGd(WO4)2 crystal inthe regime of impulsive stimulated Raman scattering," Opt. Lett. 28, 926-928 (2003).
[CrossRef] [PubMed]

N. A. Khilo, R. V. Chulkov, V. N. Belyi, N. S. Kazak, A. S. Grabtchikov, and V. A. Orlovich, "Properties of Raman Stokes light generated by a zero-order Bessel pump beam," preprint 740 (B. I. Stepanov Institute of Physics of National Academy of Sciences, 2004).

V. N. Belyi, N. A. Khilo, V. A. Orlovich, A. S. Grabtchikov, R. V. Chulkov, and V. A. Lisinetskii, "Modal theory and output patterns of Stokes radiation in SRS: generation at pump with Bessel light beams," in ICONO 2001: Nonlinear Optical Phenomena and Nonlinear Dynamics of Optical Systems, K.N.Drabovich, N.S.Kazak, V.A.Makarov, and A.P.Voitovich, Proc. SPIE 4751, 389-394 (2002).

Osiko, V. V.

P. G. Zverev, T. T. Basiev, V. V. Osiko, A. M. Kulkov, V. N. Voitsekhovskii, and V. E. Yakobson, "Physical, chemical, and optical properties of barium nitrate Raman crystal," Opt. Mater. (Amsterdam, Neth.) 11, 315-334 (1999).

Penzkofer, A.

A. Penzkofer, A. Laubereau, and W. Kaiser, "High intensity Raman interactions," Prog. Quantum Electron. 6, 55-140 (1979).
[CrossRef]

Piskarskas, A.

R. Gadonas, A. Marcinkevicius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, "Travelling wave optical parametric generator pumped by a conical beam," Opt. Commun. 146, 253-256 (1998).
[CrossRef]

Powell, R. C.

J. T. Murray, W. L. Austin, and R. C. Powell, "Intracavity Raman conversion and Raman beam cleanup," Opt. Mater. (Amsterdam, Neth.) 11, 353-371 (1999).

Press, W. H.

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in Fortran (Cambridge U. Press, 1992).

Reintjes, J.

Ren, H.

Schmitt, M.

Schwarz, U. Th.

Sheng, S.-C.

S.-C. Sheng and A. E. Siegman, "Nonlinear-optical calculations using fast-transform methods: second-harmonic generation with depletion and diffraction," Phys. Rev. A 21, 599-606 (1980).
[CrossRef]

Shkunov, V.

B. Zel'dovich and V. Shkunov, "Wavefront reproduction in stimulated Raman scattering," Sov. J. Quantum Electron. 7, 610-615 (1977).
[CrossRef]

Sibbert, W.

J. Arlt, V. Garces-Chavez, W. Sibbert, and K. Dholakia, "Optical micromanipulation using a Bessel light beam," Opt. Commun. 197, 239-245 (2001).
[CrossRef]

Siegman, A. E.

S.-C. Sheng and A. E. Siegman, "Nonlinear-optical calculations using fast-transform methods: second-harmonic generation with depletion and diffraction," Phys. Rev. A 21, 599-606 (1980).
[CrossRef]

Smayling, M. C.

M. Erdélyi, Z. L. Horváth, G. Szabó, Zs. Bor, F. K. Tittel, J. R. Cavallaro, and M. C. Smayling, "Generation of diffraction-free beams for application in optical microlithography," J. Vac. Sci. Technol. B 15, 287-292 (1997).
[CrossRef]

Smilgevicius, V.

R. Gadonas, V. Jarutis, A. Marcinkevicius, V. Smilgevicius, A. Stabinis, and V. Vaicaitis, "Transverse phase-matching in stimulated Raman scattering by a Bessel beam," Opt. Commun. 169, 189-197 (1999).
[CrossRef]

R. Gadonas, A. Marcinkevicius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, "Travelling wave optical parametric generator pumped by a conical beam," Opt. Commun. 146, 253-256 (1998).
[CrossRef]

Sogomonian, S.

Stabinis, A.

V. Vaicaitis, A. Stabinis, A. Marcinkevicius, and V. Jarutis, "Second-order Stokes and anti-Stokes coupling in stimulated Raman scattering by Bessel beam," Opt. Commun. 178, 461-467 (2000).
[CrossRef]

R. Gadonas, V. Jarutis, A. Marcinkevicius, V. Smilgevicius, A. Stabinis, and V. Vaicaitis, "Transverse phase-matching in stimulated Raman scattering by a Bessel beam," Opt. Commun. 169, 189-197 (1999).
[CrossRef]

R. Gadonas, A. Marcinkevicius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, "Travelling wave optical parametric generator pumped by a conical beam," Opt. Commun. 146, 253-256 (1998).
[CrossRef]

Stappaerts, E. A.

Swanson, R. C.

D. C. MacPherson, R. C. Swanson, and J. L. Carlsten, "Quantum fluctuations in the stimulated-Raman-scattering linewidth," Phys. Rev. Lett. 61, 66-69 (1988).
[CrossRef] [PubMed]

Szabó, G.

M. Erdélyi, Z. L. Horváth, G. Szabó, Zs. Bor, F. K. Tittel, J. R. Cavallaro, and M. C. Smayling, "Generation of diffraction-free beams for application in optical microlithography," J. Vac. Sci. Technol. B 15, 287-292 (1997).
[CrossRef]

Teukolsky, S. A.

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in Fortran (Cambridge U. Press, 1992).

Timofeeva, G.

P. Apanasevich, R. Chulkov, and G. Timofeeva, "Comparison of SRS thresholds under pumping by Gaussian and Bessel beams," J. Appl. Spectrosc. 71, 851-862(2004).
[CrossRef]

Tittel, F. K.

M. Erdélyi, Z. L. Horváth, G. Szabó, Zs. Bor, F. K. Tittel, J. R. Cavallaro, and M. C. Smayling, "Generation of diffraction-free beams for application in optical microlithography," J. Vac. Sci. Technol. B 15, 287-292 (1997).
[CrossRef]

Vaicaitis, V.

V. Vaicaitis, A. Stabinis, A. Marcinkevicius, and V. Jarutis, "Second-order Stokes and anti-Stokes coupling in stimulated Raman scattering by Bessel beam," Opt. Commun. 178, 461-467 (2000).
[CrossRef]

R. Gadonas, V. Jarutis, A. Marcinkevicius, V. Smilgevicius, A. Stabinis, and V. Vaicaitis, "Transverse phase-matching in stimulated Raman scattering by a Bessel beam," Opt. Commun. 169, 189-197 (1999).
[CrossRef]

van den Heuvel, J. C.

Vetterling, W. T.

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in Fortran (Cambridge U. Press, 1992).

Voitsekhovskii, V. N.

P. G. Zverev, T. T. Basiev, V. V. Osiko, A. M. Kulkov, V. N. Voitsekhovskii, and V. E. Yakobson, "Physical, chemical, and optical properties of barium nitrate Raman crystal," Opt. Mater. (Amsterdam, Neth.) 11, 315-334 (1999).

Wessel, J. G.

P. R. Battle, J. G. Wessel, and J. L. Carlsten, "Gain-guiding effects in an amplifier with focused gain," Phys. Rev. A 48, 707-716 (1993).
[CrossRef] [PubMed]

Wiggins, T. A.

R. M. Herman and T. A. Wiggins, "Production and uses of diffractionless beams," J. Opt. Soc. Am. B 8, 932-942 (1991).
[CrossRef]

Yakobson, V. E.

P. G. Zverev, T. T. Basiev, V. V. Osiko, A. M. Kulkov, V. N. Voitsekhovskii, and V. E. Yakobson, "Physical, chemical, and optical properties of barium nitrate Raman crystal," Opt. Mater. (Amsterdam, Neth.) 11, 315-334 (1999).

Zeitler, J.

Zel'dovich, B.

B. Zel'dovich and V. Shkunov, "Wavefront reproduction in stimulated Raman scattering," Sov. J. Quantum Electron. 7, 610-615 (1977).
[CrossRef]

Zhao, Y.

Zverev, P. G.

P. G. Zverev, T. T. Basiev, V. V. Osiko, A. M. Kulkov, V. N. Voitsekhovskii, and V. E. Yakobson, "Physical, chemical, and optical properties of barium nitrate Raman crystal," Opt. Mater. (Amsterdam, Neth.) 11, 315-334 (1999).

Appl. Opt. (1)

J. Appl. Spectrosc. (1)

P. Apanasevich, R. Chulkov, and G. Timofeeva, "Comparison of SRS thresholds under pumping by Gaussian and Bessel beams," J. Appl. Spectrosc. 71, 851-862(2004).
[CrossRef]

J. Nonlinear Opt. Phys. Mater. (1)

V. A. Lisinetskii, I. I. Mishkel', R. V. Chulkov, A. S. Grabtchikov, P. A. Apanasevich, H.-J. Eichler, and V. A. Orlovich, "Raman gain coefficient of barium nitrate measured for the spectral region of Ti:sapphire laser," J. Nonlinear Opt. Phys. Mater. 14, 107-114 (2005).
[CrossRef]

J. Opt. Soc. Am. A (1)

J. Opt. Soc. Am. B (7)

J. Vac. Sci. Technol. B (1)

M. Erdélyi, Z. L. Horváth, G. Szabó, Zs. Bor, F. K. Tittel, J. R. Cavallaro, and M. C. Smayling, "Generation of diffraction-free beams for application in optical microlithography," J. Vac. Sci. Technol. B 15, 287-292 (1997).
[CrossRef]

Opt. Commun. (5)

L. Niggl and M. Maier, "Gain-guided modes in stimulated Raman scattering process with diffraction-free pump beams," Opt. Commun. 154, 65-69 (1998).
[CrossRef]

R. Gadonas, V. Jarutis, A. Marcinkevicius, V. Smilgevicius, A. Stabinis, and V. Vaicaitis, "Transverse phase-matching in stimulated Raman scattering by a Bessel beam," Opt. Commun. 169, 189-197 (1999).
[CrossRef]

V. Vaicaitis, A. Stabinis, A. Marcinkevicius, and V. Jarutis, "Second-order Stokes and anti-Stokes coupling in stimulated Raman scattering by Bessel beam," Opt. Commun. 178, 461-467 (2000).
[CrossRef]

R. Gadonas, A. Marcinkevicius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, "Travelling wave optical parametric generator pumped by a conical beam," Opt. Commun. 146, 253-256 (1998).
[CrossRef]

J. Arlt, V. Garces-Chavez, W. Sibbert, and K. Dholakia, "Optical micromanipulation using a Bessel light beam," Opt. Commun. 197, 239-245 (2001).
[CrossRef]

Opt. Lett. (4)

Opt. Mater. (Amsterdam, Neth.) (2)

P. G. Zverev, T. T. Basiev, V. V. Osiko, A. M. Kulkov, V. N. Voitsekhovskii, and V. E. Yakobson, "Physical, chemical, and optical properties of barium nitrate Raman crystal," Opt. Mater. (Amsterdam, Neth.) 11, 315-334 (1999).

J. T. Murray, W. L. Austin, and R. C. Powell, "Intracavity Raman conversion and Raman beam cleanup," Opt. Mater. (Amsterdam, Neth.) 11, 353-371 (1999).

Phys. Rev. A (2)

S.-C. Sheng and A. E. Siegman, "Nonlinear-optical calculations using fast-transform methods: second-harmonic generation with depletion and diffraction," Phys. Rev. A 21, 599-606 (1980).
[CrossRef]

P. R. Battle, J. G. Wessel, and J. L. Carlsten, "Gain-guiding effects in an amplifier with focused gain," Phys. Rev. A 48, 707-716 (1993).
[CrossRef] [PubMed]

Phys. Rev. Lett. (1)

D. C. MacPherson, R. C. Swanson, and J. L. Carlsten, "Quantum fluctuations in the stimulated-Raman-scattering linewidth," Phys. Rev. Lett. 61, 66-69 (1988).
[CrossRef] [PubMed]

Prog. Quantum Electron. (1)

A. Penzkofer, A. Laubereau, and W. Kaiser, "High intensity Raman interactions," Prog. Quantum Electron. 6, 55-140 (1979).
[CrossRef]

Sov. J. Quantum Electron. (1)

B. Zel'dovich and V. Shkunov, "Wavefront reproduction in stimulated Raman scattering," Sov. J. Quantum Electron. 7, 610-615 (1977).
[CrossRef]

Other (4)

N. A. Khilo, R. V. Chulkov, V. N. Belyi, N. S. Kazak, A. S. Grabtchikov, and V. A. Orlovich, "Properties of Raman Stokes light generated by a zero-order Bessel pump beam," preprint 740 (B. I. Stepanov Institute of Physics of National Academy of Sciences, 2004).

V. N. Belyi, N. A. Khilo, V. A. Orlovich, A. S. Grabtchikov, R. V. Chulkov, and V. A. Lisinetskii, "Modal theory and output patterns of Stokes radiation in SRS: generation at pump with Bessel light beams," in ICONO 2001: Nonlinear Optical Phenomena and Nonlinear Dynamics of Optical Systems, K.N.Drabovich, N.S.Kazak, V.A.Makarov, and A.P.Voitovich, Proc. SPIE 4751, 389-394 (2002).

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in Fortran (Cambridge U. Press, 1992).

ISO 11146:1999 (International Organization for Standardization, 1999).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (12)

Fig. 1
Fig. 1

Intensity distributions of the simulated multimode pump beam (a) before the axicone, (c) the near-axial part of the multimode conical beam ( γ P = 13 mrad ) at a distance z = 0.5 l f , and (e) its spatial spectrum. (b), (d), (f) The corresponding x cuts of the distributions.

Fig. 2
Fig. 2

Slice of the spatial coherence function f ( z 1 , z 2 , ) at the distance z 1 = 0.5 l f calculated for γ P = 13 mrad . The longitudinal correlation length z C is shown with respect to the Rayleigh range of the pump speckle z R .

Fig. 3
Fig. 3

(a), (b) Stokes intensity distribution at the distance z = 0.65 l f and (c), (d) the spatial spectrum of the Stokes radiation at the output from the Raman medium, calculated for the pump power of 0.94 MW and γ P = 13 mrad .

Fig. 4
Fig. 4

(a), (b) Stokes intensity distribution at the distance z = 0.65 l f and (c), (d) the spatial spectrum of the Stokes radiation at the output from the Raman medium, calculated for the pump power of 1.15 MW and γ P = 25 mrad .

Fig. 5
Fig. 5

Phase distributions of the simulated pump field (a) before the axicone and (c) Stokes field at the output from the Raman medium calculated for the pump power of 1.15 MW and γ P = 25 mrad . (b), (d) The unwrapped phase profiles along the x cuts.

Fig. 6
Fig. 6

Ratio μ of the axial Stokes beam power to the overall power of the Stokes radiation versus the conversion efficiencies η calculated for γ P = 13 mrad (filled circles) and γ P = 25 mrad (open circles).

Fig. 7
Fig. 7

Beam quality factors for the total Stokes field M t 2 (open circles) and for the axial part of the field M a 2 (filled circles) calculated at γ P = 25 mrad .

Fig. 8
Fig. 8

Optical scheme for Raman conversion of the multimode conical beam: λ 2 , half-wave plate; P, polarizer; T, 1.7 x telescope; BS, beam splitter; AX, 3° axicone; BN, 7.7 cm length barium nitrate crystal; F, glass filter.

Fig. 9
Fig. 9

Conversion efficiency η into the first Stokes component versus the pump energy E P in the axicone scheme (open circles) and in the lens scheme (filled circles).

Fig. 10
Fig. 10

Energy density distribution of the multimode laser beam (a), (b) before the axicone and (c), (d) the far-field distribution of the conical pump beam.

Fig. 11
Fig. 11

Far-field distributions of the Stokes beam measured at (a), (b) E P = 2.4 mJ , η 8 % ; (c), (d) E P = 6 mJ , η 19 % ; (e), (f) E P = 13 mJ , η 25 % in the axicone scheme.

Fig. 12
Fig. 12

Far-field distributions of the Stokes beam measured in the lens scheme: (a), (b) E P = 1.9 mJ , η 10 % ; (c), (d) E P = 5 mJ , η 23 % ; (e), (f) E P = 13 mJ , η 19 % .

Equations (12)

Equations on this page are rendered with MathJax. Learn more.

z A S = i 2 k S Δ A S + g 2 A P 2 A S ,
z A P = i 2 k P Δ A P g ω P 2 ω S A S 2 A P .
E S , P ( r , z , t ) = ( 2 π c n S , P ) 1 2 A S , P ( r , z ) exp [ i ( ω S , P t k S , P z ) ] + c.c. ,
A S , P ( r , z ) = α S , P ( q , z ) K * ( q , r ) exp ( i q 2 z 2 k S , P ) d q ,
α S , P ( q , z ) = exp ( i q 2 z 2 k S , P ) A S , P ( r , z ) K ( q , r ) d r ,
z α S = g 2 exp ( i q 2 z 2 k S ) A P 2 A S K d r ,
z α P = g ω P 2 ω S exp ( i q 2 z 2 k P ) A S 2 A P K d r .
A P ( r , 0 ) = A P 0 ( r ) exp ( i q P r ) ,
I S N c k S q P 2 2 ( 2 π ) 2 Δ ω R .
Δ ω R = 2 T 2 [ ln ( 2 ) 25 ] 1 2 .
f ( z 1 , z 2 ) = 1 N ( z 1 , z 2 ) | A P ( r , z 1 ) A P * ( r , z 1 ) | d r ,
N 2 ( z 1 , z 2 ) = A P ( r , z 1 ) 2 d r A P * ( r , z 2 ) 2 d r .

Metrics