Abstract

We analytically describe the effect of phase-matching conditions on femtosecond BOXCARS line shape and demonstrate quantitative agreement with experimental spectra for the oxygen vibrational transition, ΔG01=1556.4cm1.

© 2007 Optical Society of America

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  1. G. C. Bjorklund, IEEE J. Quantum Electron. QE-11, 287 (1975).
    [CrossRef]
  2. A. Zumbusch, G. R. Holtom, and X. S. Xie, Phys. Rev. Lett. 82, 4142 (1999).
    [CrossRef]
  3. J.-X. Cheng, A. Volkmer, L. D. Book, and X. S. Xie, J. Phys. Chem. B 106, 8493 (2002).
    [CrossRef]
  4. N. Dudovich, D. Oron, and Y. Silberberg, J. Chem. Phys. 118, 9208 (2003).
    [CrossRef]
  5. D. Oron, N. Dudovich, and Y. Silberberg, Phys. Rev. Lett. 90, 213902 (2003).
    [CrossRef] [PubMed]
  6. H. Kano and H. Hamaguchi, Appl. Phys. Lett. 85, 4298 (2004).
    [CrossRef]
  7. A. C. Eckbreth, Appl. Phys. Lett. 32, 421 (1978).
    [CrossRef]
  8. Y. Prior, Appl. Opt. 19, 1741 (1980).
    [CrossRef]
  9. T. Lang, K.-L. Kompa, and M. Motzkus, Chem. Phys. Lett. 310, 65 (1999).
    [CrossRef]
  10. P. Beaud, H.-M. Frey, T. Lang, and M. Motzkus, Chem. Phys. Lett. 344, 407 (2001).
    [CrossRef]
  11. T. Lang and M. Motzkus, J. Opt. Soc. Am. B 19, 340 (2002).
    [CrossRef]
  12. R. P. Lucht, S. Roy, T. R. Meyer, and J. R. Gord, Appl. Phys. Lett. 89, 251112 (2006).
    [CrossRef]
  13. M. Schmitt, G. Knopp, A. Materny, and W. Kiefer, Chem. Phys. Lett. 270, 9 (1997).
    [CrossRef]
  14. D. Pestov, R. K. Murawski, G. O. Ariunbold, X. Wang, M. C. Zhi, A. V. Sokolov, V. A. Sautenkov, Y. V. Rostovtsev, A. Dogariu, Y. Huang, and M. O. Scully, Science 316, 2652007.
    [CrossRef] [PubMed]
  15. R. Compton, A. Filin, D. Romanov, and R. Levis, "Elucidating the spectral and temporal contributions from the resonant and nonresonant response to fs CARS," J. Chem. Phys. (to be published).

2007 (1)

D. Pestov, R. K. Murawski, G. O. Ariunbold, X. Wang, M. C. Zhi, A. V. Sokolov, V. A. Sautenkov, Y. V. Rostovtsev, A. Dogariu, Y. Huang, and M. O. Scully, Science 316, 2652007.
[CrossRef] [PubMed]

2006 (1)

R. P. Lucht, S. Roy, T. R. Meyer, and J. R. Gord, Appl. Phys. Lett. 89, 251112 (2006).
[CrossRef]

2004 (1)

H. Kano and H. Hamaguchi, Appl. Phys. Lett. 85, 4298 (2004).
[CrossRef]

2003 (2)

N. Dudovich, D. Oron, and Y. Silberberg, J. Chem. Phys. 118, 9208 (2003).
[CrossRef]

D. Oron, N. Dudovich, and Y. Silberberg, Phys. Rev. Lett. 90, 213902 (2003).
[CrossRef] [PubMed]

2002 (2)

J.-X. Cheng, A. Volkmer, L. D. Book, and X. S. Xie, J. Phys. Chem. B 106, 8493 (2002).
[CrossRef]

T. Lang and M. Motzkus, J. Opt. Soc. Am. B 19, 340 (2002).
[CrossRef]

2001 (1)

P. Beaud, H.-M. Frey, T. Lang, and M. Motzkus, Chem. Phys. Lett. 344, 407 (2001).
[CrossRef]

1999 (2)

T. Lang, K.-L. Kompa, and M. Motzkus, Chem. Phys. Lett. 310, 65 (1999).
[CrossRef]

A. Zumbusch, G. R. Holtom, and X. S. Xie, Phys. Rev. Lett. 82, 4142 (1999).
[CrossRef]

1997 (1)

M. Schmitt, G. Knopp, A. Materny, and W. Kiefer, Chem. Phys. Lett. 270, 9 (1997).
[CrossRef]

1980 (1)

1978 (1)

A. C. Eckbreth, Appl. Phys. Lett. 32, 421 (1978).
[CrossRef]

1975 (1)

G. C. Bjorklund, IEEE J. Quantum Electron. QE-11, 287 (1975).
[CrossRef]

Ariunbold, G. O.

D. Pestov, R. K. Murawski, G. O. Ariunbold, X. Wang, M. C. Zhi, A. V. Sokolov, V. A. Sautenkov, Y. V. Rostovtsev, A. Dogariu, Y. Huang, and M. O. Scully, Science 316, 2652007.
[CrossRef] [PubMed]

Beaud, P.

P. Beaud, H.-M. Frey, T. Lang, and M. Motzkus, Chem. Phys. Lett. 344, 407 (2001).
[CrossRef]

Bjorklund, G. C.

G. C. Bjorklund, IEEE J. Quantum Electron. QE-11, 287 (1975).
[CrossRef]

Book, L. D.

J.-X. Cheng, A. Volkmer, L. D. Book, and X. S. Xie, J. Phys. Chem. B 106, 8493 (2002).
[CrossRef]

Cheng, J.-X.

J.-X. Cheng, A. Volkmer, L. D. Book, and X. S. Xie, J. Phys. Chem. B 106, 8493 (2002).
[CrossRef]

Compton, R.

R. Compton, A. Filin, D. Romanov, and R. Levis, "Elucidating the spectral and temporal contributions from the resonant and nonresonant response to fs CARS," J. Chem. Phys. (to be published).

Dogariu, A.

D. Pestov, R. K. Murawski, G. O. Ariunbold, X. Wang, M. C. Zhi, A. V. Sokolov, V. A. Sautenkov, Y. V. Rostovtsev, A. Dogariu, Y. Huang, and M. O. Scully, Science 316, 2652007.
[CrossRef] [PubMed]

Dudovich, N.

N. Dudovich, D. Oron, and Y. Silberberg, J. Chem. Phys. 118, 9208 (2003).
[CrossRef]

D. Oron, N. Dudovich, and Y. Silberberg, Phys. Rev. Lett. 90, 213902 (2003).
[CrossRef] [PubMed]

Eckbreth, A. C.

A. C. Eckbreth, Appl. Phys. Lett. 32, 421 (1978).
[CrossRef]

Filin, A.

R. Compton, A. Filin, D. Romanov, and R. Levis, "Elucidating the spectral and temporal contributions from the resonant and nonresonant response to fs CARS," J. Chem. Phys. (to be published).

Frey, H.-M.

P. Beaud, H.-M. Frey, T. Lang, and M. Motzkus, Chem. Phys. Lett. 344, 407 (2001).
[CrossRef]

Gord, J. R.

R. P. Lucht, S. Roy, T. R. Meyer, and J. R. Gord, Appl. Phys. Lett. 89, 251112 (2006).
[CrossRef]

Hamaguchi, H.

H. Kano and H. Hamaguchi, Appl. Phys. Lett. 85, 4298 (2004).
[CrossRef]

Holtom, G. R.

A. Zumbusch, G. R. Holtom, and X. S. Xie, Phys. Rev. Lett. 82, 4142 (1999).
[CrossRef]

Huang, Y.

D. Pestov, R. K. Murawski, G. O. Ariunbold, X. Wang, M. C. Zhi, A. V. Sokolov, V. A. Sautenkov, Y. V. Rostovtsev, A. Dogariu, Y. Huang, and M. O. Scully, Science 316, 2652007.
[CrossRef] [PubMed]

Kano, H.

H. Kano and H. Hamaguchi, Appl. Phys. Lett. 85, 4298 (2004).
[CrossRef]

Kiefer, W.

M. Schmitt, G. Knopp, A. Materny, and W. Kiefer, Chem. Phys. Lett. 270, 9 (1997).
[CrossRef]

Knopp, G.

M. Schmitt, G. Knopp, A. Materny, and W. Kiefer, Chem. Phys. Lett. 270, 9 (1997).
[CrossRef]

Kompa, K.-L.

T. Lang, K.-L. Kompa, and M. Motzkus, Chem. Phys. Lett. 310, 65 (1999).
[CrossRef]

Lang, T.

T. Lang and M. Motzkus, J. Opt. Soc. Am. B 19, 340 (2002).
[CrossRef]

P. Beaud, H.-M. Frey, T. Lang, and M. Motzkus, Chem. Phys. Lett. 344, 407 (2001).
[CrossRef]

T. Lang, K.-L. Kompa, and M. Motzkus, Chem. Phys. Lett. 310, 65 (1999).
[CrossRef]

Levis, R.

R. Compton, A. Filin, D. Romanov, and R. Levis, "Elucidating the spectral and temporal contributions from the resonant and nonresonant response to fs CARS," J. Chem. Phys. (to be published).

Lucht, R. P.

R. P. Lucht, S. Roy, T. R. Meyer, and J. R. Gord, Appl. Phys. Lett. 89, 251112 (2006).
[CrossRef]

Materny, A.

M. Schmitt, G. Knopp, A. Materny, and W. Kiefer, Chem. Phys. Lett. 270, 9 (1997).
[CrossRef]

Meyer, T. R.

R. P. Lucht, S. Roy, T. R. Meyer, and J. R. Gord, Appl. Phys. Lett. 89, 251112 (2006).
[CrossRef]

Motzkus, M.

T. Lang and M. Motzkus, J. Opt. Soc. Am. B 19, 340 (2002).
[CrossRef]

P. Beaud, H.-M. Frey, T. Lang, and M. Motzkus, Chem. Phys. Lett. 344, 407 (2001).
[CrossRef]

T. Lang, K.-L. Kompa, and M. Motzkus, Chem. Phys. Lett. 310, 65 (1999).
[CrossRef]

Murawski, R. K.

D. Pestov, R. K. Murawski, G. O. Ariunbold, X. Wang, M. C. Zhi, A. V. Sokolov, V. A. Sautenkov, Y. V. Rostovtsev, A. Dogariu, Y. Huang, and M. O. Scully, Science 316, 2652007.
[CrossRef] [PubMed]

Oron, D.

D. Oron, N. Dudovich, and Y. Silberberg, Phys. Rev. Lett. 90, 213902 (2003).
[CrossRef] [PubMed]

N. Dudovich, D. Oron, and Y. Silberberg, J. Chem. Phys. 118, 9208 (2003).
[CrossRef]

Pestov, D.

D. Pestov, R. K. Murawski, G. O. Ariunbold, X. Wang, M. C. Zhi, A. V. Sokolov, V. A. Sautenkov, Y. V. Rostovtsev, A. Dogariu, Y. Huang, and M. O. Scully, Science 316, 2652007.
[CrossRef] [PubMed]

Prior, Y.

Romanov, D.

R. Compton, A. Filin, D. Romanov, and R. Levis, "Elucidating the spectral and temporal contributions from the resonant and nonresonant response to fs CARS," J. Chem. Phys. (to be published).

Rostovtsev, Y. V.

D. Pestov, R. K. Murawski, G. O. Ariunbold, X. Wang, M. C. Zhi, A. V. Sokolov, V. A. Sautenkov, Y. V. Rostovtsev, A. Dogariu, Y. Huang, and M. O. Scully, Science 316, 2652007.
[CrossRef] [PubMed]

Roy, S.

R. P. Lucht, S. Roy, T. R. Meyer, and J. R. Gord, Appl. Phys. Lett. 89, 251112 (2006).
[CrossRef]

Sautenkov, V. A.

D. Pestov, R. K. Murawski, G. O. Ariunbold, X. Wang, M. C. Zhi, A. V. Sokolov, V. A. Sautenkov, Y. V. Rostovtsev, A. Dogariu, Y. Huang, and M. O. Scully, Science 316, 2652007.
[CrossRef] [PubMed]

Schmitt, M.

M. Schmitt, G. Knopp, A. Materny, and W. Kiefer, Chem. Phys. Lett. 270, 9 (1997).
[CrossRef]

Scully, M. O.

D. Pestov, R. K. Murawski, G. O. Ariunbold, X. Wang, M. C. Zhi, A. V. Sokolov, V. A. Sautenkov, Y. V. Rostovtsev, A. Dogariu, Y. Huang, and M. O. Scully, Science 316, 2652007.
[CrossRef] [PubMed]

Silberberg, Y.

N. Dudovich, D. Oron, and Y. Silberberg, J. Chem. Phys. 118, 9208 (2003).
[CrossRef]

D. Oron, N. Dudovich, and Y. Silberberg, Phys. Rev. Lett. 90, 213902 (2003).
[CrossRef] [PubMed]

Sokolov, A. V.

D. Pestov, R. K. Murawski, G. O. Ariunbold, X. Wang, M. C. Zhi, A. V. Sokolov, V. A. Sautenkov, Y. V. Rostovtsev, A. Dogariu, Y. Huang, and M. O. Scully, Science 316, 2652007.
[CrossRef] [PubMed]

Volkmer, A.

J.-X. Cheng, A. Volkmer, L. D. Book, and X. S. Xie, J. Phys. Chem. B 106, 8493 (2002).
[CrossRef]

Wang, X.

D. Pestov, R. K. Murawski, G. O. Ariunbold, X. Wang, M. C. Zhi, A. V. Sokolov, V. A. Sautenkov, Y. V. Rostovtsev, A. Dogariu, Y. Huang, and M. O. Scully, Science 316, 2652007.
[CrossRef] [PubMed]

Xie, X. S.

J.-X. Cheng, A. Volkmer, L. D. Book, and X. S. Xie, J. Phys. Chem. B 106, 8493 (2002).
[CrossRef]

A. Zumbusch, G. R. Holtom, and X. S. Xie, Phys. Rev. Lett. 82, 4142 (1999).
[CrossRef]

Zhi, M. C.

D. Pestov, R. K. Murawski, G. O. Ariunbold, X. Wang, M. C. Zhi, A. V. Sokolov, V. A. Sautenkov, Y. V. Rostovtsev, A. Dogariu, Y. Huang, and M. O. Scully, Science 316, 2652007.
[CrossRef] [PubMed]

Zumbusch, A.

A. Zumbusch, G. R. Holtom, and X. S. Xie, Phys. Rev. Lett. 82, 4142 (1999).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. Lett. (3)

R. P. Lucht, S. Roy, T. R. Meyer, and J. R. Gord, Appl. Phys. Lett. 89, 251112 (2006).
[CrossRef]

H. Kano and H. Hamaguchi, Appl. Phys. Lett. 85, 4298 (2004).
[CrossRef]

A. C. Eckbreth, Appl. Phys. Lett. 32, 421 (1978).
[CrossRef]

Chem. Phys. Lett. (3)

M. Schmitt, G. Knopp, A. Materny, and W. Kiefer, Chem. Phys. Lett. 270, 9 (1997).
[CrossRef]

T. Lang, K.-L. Kompa, and M. Motzkus, Chem. Phys. Lett. 310, 65 (1999).
[CrossRef]

P. Beaud, H.-M. Frey, T. Lang, and M. Motzkus, Chem. Phys. Lett. 344, 407 (2001).
[CrossRef]

IEEE J. Quantum Electron. (1)

G. C. Bjorklund, IEEE J. Quantum Electron. QE-11, 287 (1975).
[CrossRef]

J. Chem. Phys. (1)

N. Dudovich, D. Oron, and Y. Silberberg, J. Chem. Phys. 118, 9208 (2003).
[CrossRef]

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

J. Phys. Chem. B (1)

J.-X. Cheng, A. Volkmer, L. D. Book, and X. S. Xie, J. Phys. Chem. B 106, 8493 (2002).
[CrossRef]

Phys. Rev. Lett. (2)

D. Oron, N. Dudovich, and Y. Silberberg, Phys. Rev. Lett. 90, 213902 (2003).
[CrossRef] [PubMed]

A. Zumbusch, G. R. Holtom, and X. S. Xie, Phys. Rev. Lett. 82, 4142 (1999).
[CrossRef]

Science (1)

D. Pestov, R. K. Murawski, G. O. Ariunbold, X. Wang, M. C. Zhi, A. V. Sokolov, V. A. Sautenkov, Y. V. Rostovtsev, A. Dogariu, Y. Huang, and M. O. Scully, Science 316, 2652007.
[CrossRef] [PubMed]

Other (1)

R. Compton, A. Filin, D. Romanov, and R. Levis, "Elucidating the spectral and temporal contributions from the resonant and nonresonant response to fs CARS," J. Chem. Phys. (to be published).

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Figures (2)

Fig. 1
Fig. 1

Typical dependence of CARS signal intensity on CARS photon energy for two different Stokes photon energies, (a) 1.385 eV and (b) 1.401 eV , in fs BOXCARS experiment. Circles represent the experiment. Dashed curve, theory without the mismatch attenuation correction; solid curve, theory with the correction. The inset shows the beam geometry for folded BOXCARS and phase-matching conditions for fs BOXCARS (see details in the text).

Fig. 2
Fig. 2

Integrated CARS spectrum of the oxygen vibrational transition Δ G 01 = 1556.4 cm 1 . Circles represent the experiment. Dashed curve, theory without the mismatch attenuation correction; solid curve, theory with the correction. The spectra are normalized (see details in the text)

Equations (6)

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tan ( φ S 0 ) = tan ( φ P 0 ) g , g = ( 2 ω P 0 ω S 0 1 ) 1 .
ω P 1 + ω P 2 ω S = ω CARS ,
k P 1 + k P 2 k S = k CARS .
δ k CARS = ω P 0 c d 2 ( g ( x 1 + x 2 2 x 3 ) + ( y 1 y 2 ) d 2 g + 1 2 ω P 0 ω S 0 ( 2 δ ω S ω S 0 δ ω P 1 + δ ω P 2 ω P 0 ) ) ,
F ( ω CARS , ω S ) = 1 r 0 2 π ( 1 + 3 g ) exp ( ( d 2 r 0 ) 2 ( g + 1 ) 2 2 ( 1 + 3 g ) 1 ( 2 ω P 0 ) 2 ( ω S g ω CARS ) 2 ) ,
I CARS ( ω CARS , ω S ) = I 0 e ( 1 + α ) ( ω CARS + ω S 2 ω P ) 2 ( 2 + α ) 2 σ β + i e ( ω F ) 2 2 σ ( 1 + Erf ( i ω F 2 σ ) ) 2 ,

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