Abstract

Shaped near-infrared (NIR) femtosecond pulses are used for the first time to control the generation of coherent deep-ultraviolet (UV) radiation in an atomic resonance-mediated (2+1) three-photon excitation. The broadband excitation coherently involves pathways that are on resonance with the intermediate resonance state as well as pathways that are near resonance with it. Experimental and theoretical results are presented for phase controlling the total emitted UV yield in atomic sodium. Depending on the NIR spectrum of the excitation pulse, the coherent UV emission is either predominantly due to a single excited real state that is accessed resonantly or due to a manifold of virtual states. The former leads to a narrowband UV emission, while the latter leads to a broadband UV radiation. Basic phase control is exercised in both cases, with excellent agreement between experiments and calculations. The tunability is over an order-of-magnitude UV-yield range.

© 2008 Optical Society of America

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References

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2008 (8)

L. Chuntonov, L. Rybak, A. Gandman, and Z. Amitay, “Enhancement of intermediate-field two-photon absorption by rationally shaped femtosecond pulses,” Phys. Rev. A 77, 021403(R) (2008).
[Crossref]

L. Chuntonov, L. Rybak, A. Gandman, and Z. Amitay, “Frequency-domain coherent control of femtosecond two-photon absorption: intermediate-field versus weak-field regime,” J. Phys. B 41, 035504 (2008).
[Crossref]

Z. Amitay, A. Gandman, L. Chuntonov, and L. Rybak, “Multichannel selective femtosecond coherent control based on symmetry properties,” Phys. Rev. Lett. 100, 193002 (2008).
[Crossref] [PubMed]

N. T. Form, B. J. Whitaker, and C. Meier, “Enhancing the probability of three-photon absorption in iodine through pulse shaping,” J. Phys. B 41, 074011 (2008).
[Crossref]

B. Vacano and M. Motzkus, “Time-resolving molecular vibration for microanalytics: single laser beam nonlinear Raman spectroscopy in simulation and experiment,” Phys. Chem. Chem. Phys. 10, 681 (2008).
[Crossref]

S. D. Clow, C. Trallero-Herrero, T. Bergeman, and T. Weinacht, “Strong field multiphoton inversion of a three-level system using shaped ultrafast laser pulses,” Phys. Rev. Lett. 100, 233603 (2008).
[Crossref] [PubMed]

H. Li, A. D. Ahmasi, B. Xu, P. J. Wrzesinski, V. V. Lozovoy, and M. Dantus, “Coherent mode-selective Raman excitation towards standoff detection,” Opt. Express 16, 5499 (2008)
[Crossref] [PubMed]

O. Katz, A. Natan, Y. Silberberg, and S. Rosenwaks, “Standoff detection of trace amounts of solids by nonlinear Raman spectroscopy using shaped femtosecond pulses,” Appl. Phys. Lett. 92, 171116 (2008).
[Crossref]

2007 (4)

S. H. Lim, A. G. Caster, and S. R. Leone, “Fourier transform spectral interferometric coherent anti-Stokes Raman scattering (FTSI-CARS) spectroscopy,” Opt. Lett. 32, 1332 (2007).
[Crossref] [PubMed]

A. Gandman, L. Chuntonov, L. Rybak, and Z. Amitay, “Coherent phase control of resonance-mediated (2+1) three-photon absorption,” Phys. Rev. A 75, 031401(R) (2007).
[Crossref]

A. Gandman, L. Chuntonov, L. Rybak, and Z. Amitay, “Pulse-bandwidth dependence of coherent phase control of resonance-mediated (2+1) three-photon absorption,” Phys. Rev. A 76, 053419 (2007).
[Crossref]

P. Nuernberger, G. Vogt, T. Brixner, and G. Gerber, “Femtosecond quantum control of molecular dynamics in the condensed phase,” Phys. Chem. Chem. Phys. 9, 2470 (2007).
[Crossref] [PubMed]

2006 (3)

M. Wollenhaupt, A. Präelt, C. Sarpe-Tudoran, D. Liese, T. Bayer, and T. Baumert, “Femtosecond strong-field quantum control with sinusoidally phase-modulated pulses,” Phys. Rev. A 73, 063409 (2006).
[Crossref]

C. Trallero-Herrero, J. L. Cohen, and T. Weinacht, “Strong-field atomic phase matching,” Phys. Rev. Lett. 96, 063603 (2006).
[Crossref] [PubMed]

X. Dai, E. W. Lerch, and S. R. Leone, “Coherent control through near-resonant Raman transitions,” Phys. Rev. A 73, 023404 (2006).
[Crossref]

2005 (3)

S. H. Lim, A. G. Caster, and S. R. Leone, “Single-pulse phase-control interferometric coherent anti-Stokes Raman scattering spectroscopy,” Phys. Rev. A 72, 041803(R) (2005).
[Crossref]

N. Dudovich, T. Polack, A. Pe’er, and Y. Silberberg, “Simple route to strong-field coherent control,” Phys. Rev. Lett. 94, 083002 (2005).
[Crossref] [PubMed]

S. Hannemann, U. Hollenstein, E-J. van Duijn, and W. Ubachs, “Production of narrowband tunable extremeultraviolet radiation by noncollinear resonance-enhanced four-wave mixing,” Opt. Lett. 30, 1494 (2005).
[Crossref] [PubMed]

2004 (2)

M. Dantus and V. V. Lozovoy, “Experimental coherent laser control of physicochemical processes,” Chem. Rev. 104, 1813 (2004).
[Crossref] [PubMed]

A. Präkelt, M. Wollenhaupt, C. Sarpe-Tudoran, and T. Baumert, “Phase control of a two-photon transition with shaped femtosecond laser-pulse sequences,” Phys. Rev. A 70, 063407 (2004).
[Crossref]

2003 (3)

T. Brixner and G. Gerber, “Quantum Control of Gas-Phase and Liquid-Phase Femtochemistry,” ChemPhysChem 4, 418 (2003).
[Crossref] [PubMed]

B. Chatel, J. Degert, S. Stock, and B. Girard, “Competition between sequential and direct paths in a two-photon transition,” Phys. Rev. A 68, 041402(R) (2003).
[Crossref]

E. Gershgoren, R. A. Bartels, J. T. Fourkas, R. Tobey, M. M. Murnane, and H. C. Kapteyn, “Simplified setup for high-resolution spectroscopy that uses ultrashort pulses,” Opt. Lett. 28, 361 (2003).
[Crossref] [PubMed]

2002 (3)

N. Dudovich, D. Oron, and Y. Silberberg, “Single-pulse coherently controlled nonlinear Raman spectroscopy and microscopy,” Nature (London) 418, 512 (2002).
[Crossref]

D. Oron, N. Dudovich, D. Yelin, and Silberberg, “Narrow-band coherent anti-stokes raman signals from broadband pulses,” Phys. Rev. Lett. 88, 063004 (2002).
[Crossref] [PubMed]

H. U. Stauffer, J. B. Ballard, Z. Amitay, and S. R. Leone, “Simultaneous phase control of Li2 wave packets in two electronic states,” J. Chem. Phys. 116, 946 (2002).
[Crossref]

2001 (2)

N. Dudovich, B. Dayan, S. M. Gallagher Faeder, and Y. Silberberg, “Transform-limited pulses are not optimal for resonant multiphoton transitions,” Phys. Rev. Lett. 86, 47 (2001).
[Crossref] [PubMed]

T. Brixner and G. Gerber, “Femtosecond polarization pulse shaping,” Opt. Lett. 26, 557 (2001).
[Crossref]

2000 (3)

A. M. Weiner, “Femtosecond pulse shaping using spatial light modulators,” Rev. Sci. Instrum. 71, 1929 (2000).
[Crossref]

H. Rabitz, R. de Vivie-Riedle, M. Motzkus, and K. Kompa, “Whither the future of controlling quantum phenomena?,” Science 288, 824 (2000).
[Crossref] [PubMed]

J. G. Eden, “From N2 (337 nm) to high-order harmonic generation: 40 years of coherent source development in the UV and VUV,” IEEE J. Sel. Top. Quantum Electron. 6, 1051 (2000), and references therein.
[Crossref]

1999 (1)

D. Meshulach and Y. Silberberg, “Coherent quantum control of multiphoton transitions by shaped ultrashort optical pulses,” Phys. Rev. A 60, 1287 (1999).
[Crossref]

1998 (1)

D. Meshulach and Y. Silberberg, “Coherent quantum control of two-photon transitions by a femtosecond laser pulse,” Nature (London) 396, 239 (1998).
[Crossref]

1997 (1)

R. J. Gordon and S. A. Rice, “Active control of the dynamics of atoms and molecules,” Annu. Rev. Phys. Chem. 48, 601 (1997).
[Crossref] [PubMed]

1993 (2)

1987 (1)

G. Hilber, A. Lago, and R. Wallenstein, “Broadly tunable vacuum-ultraviolet/extreme-ultraviolet radiation generated by resonant third-order frequency conversion in krypton,” J. Opt. Soc. Am. B 4, 1735 (1987).
[Crossref]

1986 (3)

1985 (1)

P. H. Herman, P. E. LaRocque, R. H. Lipson, W. Jamroz, and B. P. Stoicheff, “Vacuum ultraviolet laser spectroscopy III: laboratory sources of coherent radiation tunable from 105 to 175 nm using Mg, Zn, and Hg vapors,” Can. J. Phys. 63, 1581 (1985).
[Crossref]

1983 (1)

R. Hilbig and R. Wallenstein, “Resonant sum and difference frequency mixing in Hg,” IEEE J. Quantum Electron. 19, 1759 (1983).
[Crossref]

1981 (1)

1978 (1)

1976 (1)

S. C. Wallace and G. Zdasiuk, “High-efficiency four-wave sum mixing in magnesium at 140 nm,” Appl. Phys. Lett. 28, 449 (1976).
[Crossref]

1974 (1)

R. T. Hodgson, P. P. Sorokin, and J. J. Wynne, “Tunable coherent vacuum-ultraviolet generation in atomic vapors,” Phys. Rev. Lett. 32, 343 (1974).
[Crossref]

1971 (1)

J. F. Young, G. C. Bjorklund, A. H. Kung, R. B. Miles, and S. E. Harris, “Third-harmonic generation in phasematched Rb vapor,” Phys. Rev. Lett. 27, 1551 (1971).
[Crossref]

Ahmasi, A. D.

Allen, L.

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atom (Dover Publications, New York, 1987).

Amitay, Z.

L. Chuntonov, L. Rybak, A. Gandman, and Z. Amitay, “Enhancement of intermediate-field two-photon absorption by rationally shaped femtosecond pulses,” Phys. Rev. A 77, 021403(R) (2008).
[Crossref]

L. Chuntonov, L. Rybak, A. Gandman, and Z. Amitay, “Frequency-domain coherent control of femtosecond two-photon absorption: intermediate-field versus weak-field regime,” J. Phys. B 41, 035504 (2008).
[Crossref]

Z. Amitay, A. Gandman, L. Chuntonov, and L. Rybak, “Multichannel selective femtosecond coherent control based on symmetry properties,” Phys. Rev. Lett. 100, 193002 (2008).
[Crossref] [PubMed]

A. Gandman, L. Chuntonov, L. Rybak, and Z. Amitay, “Pulse-bandwidth dependence of coherent phase control of resonance-mediated (2+1) three-photon absorption,” Phys. Rev. A 76, 053419 (2007).
[Crossref]

A. Gandman, L. Chuntonov, L. Rybak, and Z. Amitay, “Coherent phase control of resonance-mediated (2+1) three-photon absorption,” Phys. Rev. A 75, 031401(R) (2007).
[Crossref]

H. U. Stauffer, J. B. Ballard, Z. Amitay, and S. R. Leone, “Simultaneous phase control of Li2 wave packets in two electronic states,” J. Chem. Phys. 116, 946 (2002).
[Crossref]

L. Rybak, L. Chuntonov, A. Gandman, N. Shakour, and Z. Amitay are preparing a manuscript to be called “Measurements of collisional dephasing of 3s-4s Na coherent superpositions by femtosecond four-wave mixing.”

Ballard, J. B.

H. U. Stauffer, J. B. Ballard, Z. Amitay, and S. R. Leone, “Simultaneous phase control of Li2 wave packets in two electronic states,” J. Chem. Phys. 116, 946 (2002).
[Crossref]

Bartels, R. A.

Baumert, T.

M. Wollenhaupt, A. Präelt, C. Sarpe-Tudoran, D. Liese, T. Bayer, and T. Baumert, “Femtosecond strong-field quantum control with sinusoidally phase-modulated pulses,” Phys. Rev. A 73, 063409 (2006).
[Crossref]

A. Präkelt, M. Wollenhaupt, C. Sarpe-Tudoran, and T. Baumert, “Phase control of a two-photon transition with shaped femtosecond laser-pulse sequences,” Phys. Rev. A 70, 063407 (2004).
[Crossref]

Bayer, T.

M. Wollenhaupt, A. Präelt, C. Sarpe-Tudoran, D. Liese, T. Bayer, and T. Baumert, “Femtosecond strong-field quantum control with sinusoidally phase-modulated pulses,” Phys. Rev. A 73, 063409 (2006).
[Crossref]

Bergeman, T.

S. D. Clow, C. Trallero-Herrero, T. Bergeman, and T. Weinacht, “Strong field multiphoton inversion of a three-level system using shaped ultrafast laser pulses,” Phys. Rev. Lett. 100, 233603 (2008).
[Crossref] [PubMed]

Bjorklund, G. C.

J. F. Young, G. C. Bjorklund, A. H. Kung, R. B. Miles, and S. E. Harris, “Third-harmonic generation in phasematched Rb vapor,” Phys. Rev. Lett. 27, 1551 (1971).
[Crossref]

Brixner, T.

P. Nuernberger, G. Vogt, T. Brixner, and G. Gerber, “Femtosecond quantum control of molecular dynamics in the condensed phase,” Phys. Chem. Chem. Phys. 9, 2470 (2007).
[Crossref] [PubMed]

T. Brixner and G. Gerber, “Quantum Control of Gas-Phase and Liquid-Phase Femtochemistry,” ChemPhysChem 4, 418 (2003).
[Crossref] [PubMed]

T. Brixner and G. Gerber, “Femtosecond polarization pulse shaping,” Opt. Lett. 26, 557 (2001).
[Crossref]

Brumer, P.

M. Shapiro and P. Brumer, Principles of the quantum control of molecular processes (Wiley, New Jersey, 2003).

Caster, A. G.

S. H. Lim, A. G. Caster, and S. R. Leone, “Fourier transform spectral interferometric coherent anti-Stokes Raman scattering (FTSI-CARS) spectroscopy,” Opt. Lett. 32, 1332 (2007).
[Crossref] [PubMed]

S. H. Lim, A. G. Caster, and S. R. Leone, “Single-pulse phase-control interferometric coherent anti-Stokes Raman scattering spectroscopy,” Phys. Rev. A 72, 041803(R) (2005).
[Crossref]

Chatel, B.

B. Chatel, J. Degert, S. Stock, and B. Girard, “Competition between sequential and direct paths in a two-photon transition,” Phys. Rev. A 68, 041402(R) (2003).
[Crossref]

Chen, T. J.

Chuntonov, L.

L. Chuntonov, L. Rybak, A. Gandman, and Z. Amitay, “Enhancement of intermediate-field two-photon absorption by rationally shaped femtosecond pulses,” Phys. Rev. A 77, 021403(R) (2008).
[Crossref]

L. Chuntonov, L. Rybak, A. Gandman, and Z. Amitay, “Frequency-domain coherent control of femtosecond two-photon absorption: intermediate-field versus weak-field regime,” J. Phys. B 41, 035504 (2008).
[Crossref]

Z. Amitay, A. Gandman, L. Chuntonov, and L. Rybak, “Multichannel selective femtosecond coherent control based on symmetry properties,” Phys. Rev. Lett. 100, 193002 (2008).
[Crossref] [PubMed]

A. Gandman, L. Chuntonov, L. Rybak, and Z. Amitay, “Pulse-bandwidth dependence of coherent phase control of resonance-mediated (2+1) three-photon absorption,” Phys. Rev. A 76, 053419 (2007).
[Crossref]

A. Gandman, L. Chuntonov, L. Rybak, and Z. Amitay, “Coherent phase control of resonance-mediated (2+1) three-photon absorption,” Phys. Rev. A 75, 031401(R) (2007).
[Crossref]

L. Rybak, L. Chuntonov, A. Gandman, N. Shakour, and Z. Amitay are preparing a manuscript to be called “Measurements of collisional dephasing of 3s-4s Na coherent superpositions by femtosecond four-wave mixing.”

Clow, S. D.

S. D. Clow, C. Trallero-Herrero, T. Bergeman, and T. Weinacht, “Strong field multiphoton inversion of a three-level system using shaped ultrafast laser pulses,” Phys. Rev. Lett. 100, 233603 (2008).
[Crossref] [PubMed]

Cohen, J. L.

C. Trallero-Herrero, J. L. Cohen, and T. Weinacht, “Strong-field atomic phase matching,” Phys. Rev. Lett. 96, 063603 (2006).
[Crossref] [PubMed]

Dai, X.

X. Dai, E. W. Lerch, and S. R. Leone, “Coherent control through near-resonant Raman transitions,” Phys. Rev. A 73, 023404 (2006).
[Crossref]

Dantus, M.

Dayan, B.

N. Dudovich, B. Dayan, S. M. Gallagher Faeder, and Y. Silberberg, “Transform-limited pulses are not optimal for resonant multiphoton transitions,” Phys. Rev. Lett. 86, 47 (2001).
[Crossref] [PubMed]

de Vivie-Riedle, R.

H. Rabitz, R. de Vivie-Riedle, M. Motzkus, and K. Kompa, “Whither the future of controlling quantum phenomena?,” Science 288, 824 (2000).
[Crossref] [PubMed]

DeBeer, D.

Degert, J.

B. Chatel, J. Degert, S. Stock, and B. Girard, “Competition between sequential and direct paths in a two-photon transition,” Phys. Rev. A 68, 041402(R) (2003).
[Crossref]

Dudovich, N.

N. Dudovich, T. Polack, A. Pe’er, and Y. Silberberg, “Simple route to strong-field coherent control,” Phys. Rev. Lett. 94, 083002 (2005).
[Crossref] [PubMed]

N. Dudovich, D. Oron, and Y. Silberberg, “Single-pulse coherently controlled nonlinear Raman spectroscopy and microscopy,” Nature (London) 418, 512 (2002).
[Crossref]

D. Oron, N. Dudovich, D. Yelin, and Silberberg, “Narrow-band coherent anti-stokes raman signals from broadband pulses,” Phys. Rev. Lett. 88, 063004 (2002).
[Crossref] [PubMed]

N. Dudovich, B. Dayan, S. M. Gallagher Faeder, and Y. Silberberg, “Transform-limited pulses are not optimal for resonant multiphoton transitions,” Phys. Rev. Lett. 86, 47 (2001).
[Crossref] [PubMed]

Eberly, J. H.

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atom (Dover Publications, New York, 1987).

Eden, J. G.

J. G. Eden, “From N2 (337 nm) to high-order harmonic generation: 40 years of coherent source development in the UV and VUV,” IEEE J. Sel. Top. Quantum Electron. 6, 1051 (2000), and references therein.
[Crossref]

Form, N. T.

N. T. Form, B. J. Whitaker, and C. Meier, “Enhancing the probability of three-photon absorption in iodine through pulse shaping,” J. Phys. B 41, 074011 (2008).
[Crossref]

Fourkas, J. T.

Gallagher Faeder, S. M.

N. Dudovich, B. Dayan, S. M. Gallagher Faeder, and Y. Silberberg, “Transform-limited pulses are not optimal for resonant multiphoton transitions,” Phys. Rev. Lett. 86, 47 (2001).
[Crossref] [PubMed]

Gandman, A.

L. Chuntonov, L. Rybak, A. Gandman, and Z. Amitay, “Enhancement of intermediate-field two-photon absorption by rationally shaped femtosecond pulses,” Phys. Rev. A 77, 021403(R) (2008).
[Crossref]

L. Chuntonov, L. Rybak, A. Gandman, and Z. Amitay, “Frequency-domain coherent control of femtosecond two-photon absorption: intermediate-field versus weak-field regime,” J. Phys. B 41, 035504 (2008).
[Crossref]

Z. Amitay, A. Gandman, L. Chuntonov, and L. Rybak, “Multichannel selective femtosecond coherent control based on symmetry properties,” Phys. Rev. Lett. 100, 193002 (2008).
[Crossref] [PubMed]

A. Gandman, L. Chuntonov, L. Rybak, and Z. Amitay, “Pulse-bandwidth dependence of coherent phase control of resonance-mediated (2+1) three-photon absorption,” Phys. Rev. A 76, 053419 (2007).
[Crossref]

A. Gandman, L. Chuntonov, L. Rybak, and Z. Amitay, “Coherent phase control of resonance-mediated (2+1) three-photon absorption,” Phys. Rev. A 75, 031401(R) (2007).
[Crossref]

L. Rybak, L. Chuntonov, A. Gandman, N. Shakour, and Z. Amitay are preparing a manuscript to be called “Measurements of collisional dephasing of 3s-4s Na coherent superpositions by femtosecond four-wave mixing.”

Gerber, G.

P. Nuernberger, G. Vogt, T. Brixner, and G. Gerber, “Femtosecond quantum control of molecular dynamics in the condensed phase,” Phys. Chem. Chem. Phys. 9, 2470 (2007).
[Crossref] [PubMed]

T. Brixner and G. Gerber, “Quantum Control of Gas-Phase and Liquid-Phase Femtochemistry,” ChemPhysChem 4, 418 (2003).
[Crossref] [PubMed]

T. Brixner and G. Gerber, “Femtosecond polarization pulse shaping,” Opt. Lett. 26, 557 (2001).
[Crossref]

Gershgoren, E.

Girard, B.

B. Chatel, J. Degert, S. Stock, and B. Girard, “Competition between sequential and direct paths in a two-photon transition,” Phys. Rev. A 68, 041402(R) (2003).
[Crossref]

Golub, J. E.

Gordon, R. J.

R. J. Gordon and S. A. Rice, “Active control of the dynamics of atoms and molecules,” Annu. Rev. Phys. Chem. 48, 601 (1997).
[Crossref] [PubMed]

Hannemann, S.

Harris, S. E.

J. F. Young, G. C. Bjorklund, A. H. Kung, R. B. Miles, and S. E. Harris, “Third-harmonic generation in phasematched Rb vapor,” Phys. Rev. Lett. 27, 1551 (1971).
[Crossref]

Hartmann, S. R.

Herman, P. H.

P. H. Herman, P. E. LaRocque, R. H. Lipson, W. Jamroz, and B. P. Stoicheff, “Vacuum ultraviolet laser spectroscopy III: laboratory sources of coherent radiation tunable from 105 to 175 nm using Mg, Zn, and Hg vapors,” Can. J. Phys. 63, 1581 (1985).
[Crossref]

Hilber, G.

G. Hilber, A. Lago, and R. Wallenstein, “Broadly tunable vacuum-ultraviolet/extreme-ultraviolet radiation generated by resonant third-order frequency conversion in krypton,” J. Opt. Soc. Am. B 4, 1735 (1987).
[Crossref]

Hilbig, R.

R. Hilbig and R. Wallenstein, “Resonant sum and difference frequency mixing in Hg,” IEEE J. Quantum Electron. 19, 1759 (1983).
[Crossref]

Hirakawa, Y.

Hodgson, R. T.

R. T. Hodgson, P. P. Sorokin, and J. J. Wynne, “Tunable coherent vacuum-ultraviolet generation in atomic vapors,” Phys. Rev. Lett. 32, 343 (1974).
[Crossref]

Hollenstein, U.

Jamroz, W.

P. H. Herman, P. E. LaRocque, R. H. Lipson, W. Jamroz, and B. P. Stoicheff, “Vacuum ultraviolet laser spectroscopy III: laboratory sources of coherent radiation tunable from 105 to 175 nm using Mg, Zn, and Hg vapors,” Can. J. Phys. 63, 1581 (1985).
[Crossref]

Kapteyn, H. C.

Katz, O.

O. Katz, A. Natan, Y. Silberberg, and S. Rosenwaks, “Standoff detection of trace amounts of solids by nonlinear Raman spectroscopy using shaped femtosecond pulses,” Appl. Phys. Lett. 92, 171116 (2008).
[Crossref]

Kompa, K.

H. Rabitz, R. de Vivie-Riedle, M. Motzkus, and K. Kompa, “Whither the future of controlling quantum phenomena?,” Science 288, 824 (2000).
[Crossref] [PubMed]

Kosloff, R.

D. J. Tannor, R. Kosloff, and S. A. Rice, “Coherent pulse sequence induced control of selectivity of reactions: Exact quantum mechanical calculations,” J. Chem. Phys. 85, 5805 (1986).
[Crossref]

Kung, A. H.

J. F. Young, G. C. Bjorklund, A. H. Kung, R. B. Miles, and S. E. Harris, “Third-harmonic generation in phasematched Rb vapor,” Phys. Rev. Lett. 27, 1551 (1971).
[Crossref]

Lago, A.

G. Hilber, A. Lago, and R. Wallenstein, “Broadly tunable vacuum-ultraviolet/extreme-ultraviolet radiation generated by resonant third-order frequency conversion in krypton,” J. Opt. Soc. Am. B 4, 1735 (1987).
[Crossref]

LaRocque, P. E.

P. H. Herman, P. E. LaRocque, R. H. Lipson, W. Jamroz, and B. P. Stoicheff, “Vacuum ultraviolet laser spectroscopy III: laboratory sources of coherent radiation tunable from 105 to 175 nm using Mg, Zn, and Hg vapors,” Can. J. Phys. 63, 1581 (1985).
[Crossref]

Leone, S. R.

S. H. Lim, A. G. Caster, and S. R. Leone, “Fourier transform spectral interferometric coherent anti-Stokes Raman scattering (FTSI-CARS) spectroscopy,” Opt. Lett. 32, 1332 (2007).
[Crossref] [PubMed]

X. Dai, E. W. Lerch, and S. R. Leone, “Coherent control through near-resonant Raman transitions,” Phys. Rev. A 73, 023404 (2006).
[Crossref]

S. H. Lim, A. G. Caster, and S. R. Leone, “Single-pulse phase-control interferometric coherent anti-Stokes Raman scattering spectroscopy,” Phys. Rev. A 72, 041803(R) (2005).
[Crossref]

H. U. Stauffer, J. B. Ballard, Z. Amitay, and S. R. Leone, “Simultaneous phase control of Li2 wave packets in two electronic states,” J. Chem. Phys. 116, 946 (2002).
[Crossref]

Lerch, E. W.

X. Dai, E. W. Lerch, and S. R. Leone, “Coherent control through near-resonant Raman transitions,” Phys. Rev. A 73, 023404 (2006).
[Crossref]

Li, H.

Liese, D.

M. Wollenhaupt, A. Präelt, C. Sarpe-Tudoran, D. Liese, T. Bayer, and T. Baumert, “Femtosecond strong-field quantum control with sinusoidally phase-modulated pulses,” Phys. Rev. A 73, 063409 (2006).
[Crossref]

Lim, S. H.

S. H. Lim, A. G. Caster, and S. R. Leone, “Fourier transform spectral interferometric coherent anti-Stokes Raman scattering (FTSI-CARS) spectroscopy,” Opt. Lett. 32, 1332 (2007).
[Crossref] [PubMed]

S. H. Lim, A. G. Caster, and S. R. Leone, “Single-pulse phase-control interferometric coherent anti-Stokes Raman scattering spectroscopy,” Phys. Rev. A 72, 041803(R) (2005).
[Crossref]

Lipson, R. H.

P. H. Herman, P. E. LaRocque, R. H. Lipson, W. Jamroz, and B. P. Stoicheff, “Vacuum ultraviolet laser spectroscopy III: laboratory sources of coherent radiation tunable from 105 to 175 nm using Mg, Zn, and Hg vapors,” Can. J. Phys. 63, 1581 (1985).
[Crossref]

Lozovoy, V. V.

Maeda, M.

Mahleh, D.

W. S. Warren, H. Rabitz, and D. Mahleh, “Coherent control of quantum dynamics: the dream is alive,” Science 259, 1581 (1993).
[Crossref] [PubMed]

Mahon, R.

McKee, T. J.

Meier, C.

N. T. Form, B. J. Whitaker, and C. Meier, “Enhancing the probability of three-photon absorption in iodine through pulse shaping,” J. Phys. B 41, 074011 (2008).
[Crossref]

Meshulach, D.

D. Meshulach and Y. Silberberg, “Coherent quantum control of multiphoton transitions by shaped ultrashort optical pulses,” Phys. Rev. A 60, 1287 (1999).
[Crossref]

D. Meshulach and Y. Silberberg, “Coherent quantum control of two-photon transitions by a femtosecond laser pulse,” Nature (London) 396, 239 (1998).
[Crossref]

Miles, R. B.

J. F. Young, G. C. Bjorklund, A. H. Kung, R. B. Miles, and S. E. Harris, “Third-harmonic generation in phasematched Rb vapor,” Phys. Rev. Lett. 27, 1551 (1971).
[Crossref]

Mossberg, T. W.

Motzkus, M.

B. Vacano and M. Motzkus, “Time-resolving molecular vibration for microanalytics: single laser beam nonlinear Raman spectroscopy in simulation and experiment,” Phys. Chem. Chem. Phys. 10, 681 (2008).
[Crossref]

H. Rabitz, R. de Vivie-Riedle, M. Motzkus, and K. Kompa, “Whither the future of controlling quantum phenomena?,” Science 288, 824 (2000).
[Crossref] [PubMed]

Muraoka, K.

Murnane, M. M.

Nagai, A.

Natan, A.

O. Katz, A. Natan, Y. Silberberg, and S. Rosenwaks, “Standoff detection of trace amounts of solids by nonlinear Raman spectroscopy using shaped femtosecond pulses,” Appl. Phys. Lett. 92, 171116 (2008).
[Crossref]

Nuernberger, P.

P. Nuernberger, G. Vogt, T. Brixner, and G. Gerber, “Femtosecond quantum control of molecular dynamics in the condensed phase,” Phys. Chem. Chem. Phys. 9, 2470 (2007).
[Crossref] [PubMed]

Okada, T.

Oron, D.

N. Dudovich, D. Oron, and Y. Silberberg, “Single-pulse coherently controlled nonlinear Raman spectroscopy and microscopy,” Nature (London) 418, 512 (2002).
[Crossref]

D. Oron, N. Dudovich, D. Yelin, and Silberberg, “Narrow-band coherent anti-stokes raman signals from broadband pulses,” Phys. Rev. Lett. 88, 063004 (2002).
[Crossref] [PubMed]

Pe’er, A.

N. Dudovich, T. Polack, A. Pe’er, and Y. Silberberg, “Simple route to strong-field coherent control,” Phys. Rev. Lett. 94, 083002 (2005).
[Crossref] [PubMed]

Polack, T.

N. Dudovich, T. Polack, A. Pe’er, and Y. Silberberg, “Simple route to strong-field coherent control,” Phys. Rev. Lett. 94, 083002 (2005).
[Crossref] [PubMed]

Präelt, A.

M. Wollenhaupt, A. Präelt, C. Sarpe-Tudoran, D. Liese, T. Bayer, and T. Baumert, “Femtosecond strong-field quantum control with sinusoidally phase-modulated pulses,” Phys. Rev. A 73, 063409 (2006).
[Crossref]

Präkelt, A.

A. Präkelt, M. Wollenhaupt, C. Sarpe-Tudoran, and T. Baumert, “Phase control of a two-photon transition with shaped femtosecond laser-pulse sequences,” Phys. Rev. A 70, 063407 (2004).
[Crossref]

Rabitz, H.

H. Rabitz, R. de Vivie-Riedle, M. Motzkus, and K. Kompa, “Whither the future of controlling quantum phenomena?,” Science 288, 824 (2000).
[Crossref] [PubMed]

W. S. Warren, H. Rabitz, and D. Mahleh, “Coherent control of quantum dynamics: the dream is alive,” Science 259, 1581 (1993).
[Crossref] [PubMed]

Rice, S. A.

R. J. Gordon and S. A. Rice, “Active control of the dynamics of atoms and molecules,” Annu. Rev. Phys. Chem. 48, 601 (1997).
[Crossref] [PubMed]

D. J. Tannor, R. Kosloff, and S. A. Rice, “Coherent pulse sequence induced control of selectivity of reactions: Exact quantum mechanical calculations,” J. Chem. Phys. 85, 5805 (1986).
[Crossref]

Rosenwaks, S.

O. Katz, A. Natan, Y. Silberberg, and S. Rosenwaks, “Standoff detection of trace amounts of solids by nonlinear Raman spectroscopy using shaped femtosecond pulses,” Appl. Phys. Lett. 92, 171116 (2008).
[Crossref]

Rybak, L.

Z. Amitay, A. Gandman, L. Chuntonov, and L. Rybak, “Multichannel selective femtosecond coherent control based on symmetry properties,” Phys. Rev. Lett. 100, 193002 (2008).
[Crossref] [PubMed]

L. Chuntonov, L. Rybak, A. Gandman, and Z. Amitay, “Enhancement of intermediate-field two-photon absorption by rationally shaped femtosecond pulses,” Phys. Rev. A 77, 021403(R) (2008).
[Crossref]

L. Chuntonov, L. Rybak, A. Gandman, and Z. Amitay, “Frequency-domain coherent control of femtosecond two-photon absorption: intermediate-field versus weak-field regime,” J. Phys. B 41, 035504 (2008).
[Crossref]

A. Gandman, L. Chuntonov, L. Rybak, and Z. Amitay, “Coherent phase control of resonance-mediated (2+1) three-photon absorption,” Phys. Rev. A 75, 031401(R) (2007).
[Crossref]

A. Gandman, L. Chuntonov, L. Rybak, and Z. Amitay, “Pulse-bandwidth dependence of coherent phase control of resonance-mediated (2+1) three-photon absorption,” Phys. Rev. A 76, 053419 (2007).
[Crossref]

L. Rybak, L. Chuntonov, A. Gandman, N. Shakour, and Z. Amitay are preparing a manuscript to be called “Measurements of collisional dephasing of 3s-4s Na coherent superpositions by femtosecond four-wave mixing.”

Sarpe-Tudoran, C.

M. Wollenhaupt, A. Präelt, C. Sarpe-Tudoran, D. Liese, T. Bayer, and T. Baumert, “Femtosecond strong-field quantum control with sinusoidally phase-modulated pulses,” Phys. Rev. A 73, 063409 (2006).
[Crossref]

A. Präkelt, M. Wollenhaupt, C. Sarpe-Tudoran, and T. Baumert, “Phase control of a two-photon transition with shaped femtosecond laser-pulse sequences,” Phys. Rev. A 70, 063407 (2004).
[Crossref]

Shakour, N.

L. Rybak, L. Chuntonov, A. Gandman, N. Shakour, and Z. Amitay are preparing a manuscript to be called “Measurements of collisional dephasing of 3s-4s Na coherent superpositions by femtosecond four-wave mixing.”

Shapiro, M.

M. Shapiro and P. Brumer, Principles of the quantum control of molecular processes (Wiley, New Jersey, 2003).

Silberberg,

D. Oron, N. Dudovich, D. Yelin, and Silberberg, “Narrow-band coherent anti-stokes raman signals from broadband pulses,” Phys. Rev. Lett. 88, 063004 (2002).
[Crossref] [PubMed]

Silberberg, Y.

O. Katz, A. Natan, Y. Silberberg, and S. Rosenwaks, “Standoff detection of trace amounts of solids by nonlinear Raman spectroscopy using shaped femtosecond pulses,” Appl. Phys. Lett. 92, 171116 (2008).
[Crossref]

N. Dudovich, T. Polack, A. Pe’er, and Y. Silberberg, “Simple route to strong-field coherent control,” Phys. Rev. Lett. 94, 083002 (2005).
[Crossref] [PubMed]

N. Dudovich, D. Oron, and Y. Silberberg, “Single-pulse coherently controlled nonlinear Raman spectroscopy and microscopy,” Nature (London) 418, 512 (2002).
[Crossref]

N. Dudovich, B. Dayan, S. M. Gallagher Faeder, and Y. Silberberg, “Transform-limited pulses are not optimal for resonant multiphoton transitions,” Phys. Rev. Lett. 86, 47 (2001).
[Crossref] [PubMed]

D. Meshulach and Y. Silberberg, “Coherent quantum control of multiphoton transitions by shaped ultrashort optical pulses,” Phys. Rev. A 60, 1287 (1999).
[Crossref]

D. Meshulach and Y. Silberberg, “Coherent quantum control of two-photon transitions by a femtosecond laser pulse,” Nature (London) 396, 239 (1998).
[Crossref]

Sorokin, P. P.

R. T. Hodgson, P. P. Sorokin, and J. J. Wynne, “Tunable coherent vacuum-ultraviolet generation in atomic vapors,” Phys. Rev. Lett. 32, 343 (1974).
[Crossref]

Stauffer, H. U.

H. U. Stauffer, J. B. Ballard, Z. Amitay, and S. R. Leone, “Simultaneous phase control of Li2 wave packets in two electronic states,” J. Chem. Phys. 116, 946 (2002).
[Crossref]

Stock, S.

B. Chatel, J. Degert, S. Stock, and B. Girard, “Competition between sequential and direct paths in a two-photon transition,” Phys. Rev. A 68, 041402(R) (2003).
[Crossref]

Stoicheff, B. P.

P. H. Herman, P. E. LaRocque, R. H. Lipson, W. Jamroz, and B. P. Stoicheff, “Vacuum ultraviolet laser spectroscopy III: laboratory sources of coherent radiation tunable from 105 to 175 nm using Mg, Zn, and Hg vapors,” Can. J. Phys. 63, 1581 (1985).
[Crossref]

T. J. McKee, B. P. Stoicheff, and S. C. Wallace, “Tunable, coherent radiation in the Lyman-α region (1210–1290 A) using magnesium vapor,” Opt. Lett. 3, 207 (1978).
[Crossref] [PubMed]

Tannor, D. J.

D. J. Tannor, R. Kosloff, and S. A. Rice, “Coherent pulse sequence induced control of selectivity of reactions: Exact quantum mechanical calculations,” J. Chem. Phys. 85, 5805 (1986).
[Crossref]

Tobey, R.

Tomkins, F. S.

Trallero-Herrero, C.

S. D. Clow, C. Trallero-Herrero, T. Bergeman, and T. Weinacht, “Strong field multiphoton inversion of a three-level system using shaped ultrafast laser pulses,” Phys. Rev. Lett. 100, 233603 (2008).
[Crossref] [PubMed]

C. Trallero-Herrero, J. L. Cohen, and T. Weinacht, “Strong-field atomic phase matching,” Phys. Rev. Lett. 96, 063603 (2006).
[Crossref] [PubMed]

Ubachs, W.

Vacano, B.

B. Vacano and M. Motzkus, “Time-resolving molecular vibration for microanalytics: single laser beam nonlinear Raman spectroscopy in simulation and experiment,” Phys. Chem. Chem. Phys. 10, 681 (2008).
[Crossref]

van Duijn, E-J.

Vogt, G.

P. Nuernberger, G. Vogt, T. Brixner, and G. Gerber, “Femtosecond quantum control of molecular dynamics in the condensed phase,” Phys. Chem. Chem. Phys. 9, 2470 (2007).
[Crossref] [PubMed]

Wallace, S. C.

Wallenstein, R.

G. Hilber, A. Lago, and R. Wallenstein, “Broadly tunable vacuum-ultraviolet/extreme-ultraviolet radiation generated by resonant third-order frequency conversion in krypton,” J. Opt. Soc. Am. B 4, 1735 (1987).
[Crossref]

R. Hilbig and R. Wallenstein, “Resonant sum and difference frequency mixing in Hg,” IEEE J. Quantum Electron. 19, 1759 (1983).
[Crossref]

Warren, W. S.

W. S. Warren, H. Rabitz, and D. Mahleh, “Coherent control of quantum dynamics: the dream is alive,” Science 259, 1581 (1993).
[Crossref] [PubMed]

Weinacht, T.

S. D. Clow, C. Trallero-Herrero, T. Bergeman, and T. Weinacht, “Strong field multiphoton inversion of a three-level system using shaped ultrafast laser pulses,” Phys. Rev. Lett. 100, 233603 (2008).
[Crossref] [PubMed]

C. Trallero-Herrero, J. L. Cohen, and T. Weinacht, “Strong-field atomic phase matching,” Phys. Rev. Lett. 96, 063603 (2006).
[Crossref] [PubMed]

Weiner, A. M.

A. M. Weiner, “Femtosecond pulse shaping using spatial light modulators,” Rev. Sci. Instrum. 71, 1929 (2000).
[Crossref]

Whitaker, B. J.

N. T. Form, B. J. Whitaker, and C. Meier, “Enhancing the probability of three-photon absorption in iodine through pulse shaping,” J. Phys. B 41, 074011 (2008).
[Crossref]

Wollenhaupt, M.

M. Wollenhaupt, A. Präelt, C. Sarpe-Tudoran, D. Liese, T. Bayer, and T. Baumert, “Femtosecond strong-field quantum control with sinusoidally phase-modulated pulses,” Phys. Rev. A 73, 063409 (2006).
[Crossref]

A. Präkelt, M. Wollenhaupt, C. Sarpe-Tudoran, and T. Baumert, “Phase control of a two-photon transition with shaped femtosecond laser-pulse sequences,” Phys. Rev. A 70, 063407 (2004).
[Crossref]

Wrzesinski, P. J.

Wynne, J. J.

R. T. Hodgson, P. P. Sorokin, and J. J. Wynne, “Tunable coherent vacuum-ultraviolet generation in atomic vapors,” Phys. Rev. Lett. 32, 343 (1974).
[Crossref]

Xu, B.

Yelin, D.

D. Oron, N. Dudovich, D. Yelin, and Silberberg, “Narrow-band coherent anti-stokes raman signals from broadband pulses,” Phys. Rev. Lett. 88, 063004 (2002).
[Crossref] [PubMed]

Young, J. F.

J. F. Young, G. C. Bjorklund, A. H. Kung, R. B. Miles, and S. E. Harris, “Third-harmonic generation in phasematched Rb vapor,” Phys. Rev. Lett. 27, 1551 (1971).
[Crossref]

Zdasiuk, G.

S. C. Wallace and G. Zdasiuk, “High-efficiency four-wave sum mixing in magnesium at 140 nm,” Appl. Phys. Lett. 28, 449 (1976).
[Crossref]

Annu. Rev. Phys. Chem. (1)

R. J. Gordon and S. A. Rice, “Active control of the dynamics of atoms and molecules,” Annu. Rev. Phys. Chem. 48, 601 (1997).
[Crossref] [PubMed]

Appl. Phys. Lett. (2)

O. Katz, A. Natan, Y. Silberberg, and S. Rosenwaks, “Standoff detection of trace amounts of solids by nonlinear Raman spectroscopy using shaped femtosecond pulses,” Appl. Phys. Lett. 92, 171116 (2008).
[Crossref]

S. C. Wallace and G. Zdasiuk, “High-efficiency four-wave sum mixing in magnesium at 140 nm,” Appl. Phys. Lett. 28, 449 (1976).
[Crossref]

Can. J. Phys. (1)

P. H. Herman, P. E. LaRocque, R. H. Lipson, W. Jamroz, and B. P. Stoicheff, “Vacuum ultraviolet laser spectroscopy III: laboratory sources of coherent radiation tunable from 105 to 175 nm using Mg, Zn, and Hg vapors,” Can. J. Phys. 63, 1581 (1985).
[Crossref]

Chem. Rev. (1)

M. Dantus and V. V. Lozovoy, “Experimental coherent laser control of physicochemical processes,” Chem. Rev. 104, 1813 (2004).
[Crossref] [PubMed]

ChemPhysChem (1)

T. Brixner and G. Gerber, “Quantum Control of Gas-Phase and Liquid-Phase Femtochemistry,” ChemPhysChem 4, 418 (2003).
[Crossref] [PubMed]

IEEE J. Quantum Electron. (1)

R. Hilbig and R. Wallenstein, “Resonant sum and difference frequency mixing in Hg,” IEEE J. Quantum Electron. 19, 1759 (1983).
[Crossref]

IEEE J. Sel. Top. Quantum Electron. (1)

J. G. Eden, “From N2 (337 nm) to high-order harmonic generation: 40 years of coherent source development in the UV and VUV,” IEEE J. Sel. Top. Quantum Electron. 6, 1051 (2000), and references therein.
[Crossref]

J. Chem. Phys. (2)

D. J. Tannor, R. Kosloff, and S. A. Rice, “Coherent pulse sequence induced control of selectivity of reactions: Exact quantum mechanical calculations,” J. Chem. Phys. 85, 5805 (1986).
[Crossref]

H. U. Stauffer, J. B. Ballard, Z. Amitay, and S. R. Leone, “Simultaneous phase control of Li2 wave packets in two electronic states,” J. Chem. Phys. 116, 946 (2002).
[Crossref]

J. Opt. Soc. Am. B (3)

J. Phys. B (2)

L. Chuntonov, L. Rybak, A. Gandman, and Z. Amitay, “Frequency-domain coherent control of femtosecond two-photon absorption: intermediate-field versus weak-field regime,” J. Phys. B 41, 035504 (2008).
[Crossref]

N. T. Form, B. J. Whitaker, and C. Meier, “Enhancing the probability of three-photon absorption in iodine through pulse shaping,” J. Phys. B 41, 074011 (2008).
[Crossref]

Nature (London) (2)

N. Dudovich, D. Oron, and Y. Silberberg, “Single-pulse coherently controlled nonlinear Raman spectroscopy and microscopy,” Nature (London) 418, 512 (2002).
[Crossref]

D. Meshulach and Y. Silberberg, “Coherent quantum control of two-photon transitions by a femtosecond laser pulse,” Nature (London) 396, 239 (1998).
[Crossref]

Opt. Express (1)

Opt. Lett. (7)

Phys. Chem. Chem. Phys. (2)

B. Vacano and M. Motzkus, “Time-resolving molecular vibration for microanalytics: single laser beam nonlinear Raman spectroscopy in simulation and experiment,” Phys. Chem. Chem. Phys. 10, 681 (2008).
[Crossref]

P. Nuernberger, G. Vogt, T. Brixner, and G. Gerber, “Femtosecond quantum control of molecular dynamics in the condensed phase,” Phys. Chem. Chem. Phys. 9, 2470 (2007).
[Crossref] [PubMed]

Phys. Rev. A (9)

B. Chatel, J. Degert, S. Stock, and B. Girard, “Competition between sequential and direct paths in a two-photon transition,” Phys. Rev. A 68, 041402(R) (2003).
[Crossref]

L. Chuntonov, L. Rybak, A. Gandman, and Z. Amitay, “Enhancement of intermediate-field two-photon absorption by rationally shaped femtosecond pulses,” Phys. Rev. A 77, 021403(R) (2008).
[Crossref]

D. Meshulach and Y. Silberberg, “Coherent quantum control of multiphoton transitions by shaped ultrashort optical pulses,” Phys. Rev. A 60, 1287 (1999).
[Crossref]

A. Präkelt, M. Wollenhaupt, C. Sarpe-Tudoran, and T. Baumert, “Phase control of a two-photon transition with shaped femtosecond laser-pulse sequences,” Phys. Rev. A 70, 063407 (2004).
[Crossref]

S. H. Lim, A. G. Caster, and S. R. Leone, “Single-pulse phase-control interferometric coherent anti-Stokes Raman scattering spectroscopy,” Phys. Rev. A 72, 041803(R) (2005).
[Crossref]

X. Dai, E. W. Lerch, and S. R. Leone, “Coherent control through near-resonant Raman transitions,” Phys. Rev. A 73, 023404 (2006).
[Crossref]

A. Gandman, L. Chuntonov, L. Rybak, and Z. Amitay, “Coherent phase control of resonance-mediated (2+1) three-photon absorption,” Phys. Rev. A 75, 031401(R) (2007).
[Crossref]

A. Gandman, L. Chuntonov, L. Rybak, and Z. Amitay, “Pulse-bandwidth dependence of coherent phase control of resonance-mediated (2+1) three-photon absorption,” Phys. Rev. A 76, 053419 (2007).
[Crossref]

M. Wollenhaupt, A. Präelt, C. Sarpe-Tudoran, D. Liese, T. Bayer, and T. Baumert, “Femtosecond strong-field quantum control with sinusoidally phase-modulated pulses,” Phys. Rev. A 73, 063409 (2006).
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Phys. Rev. Lett. (8)

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R. T. Hodgson, P. P. Sorokin, and J. J. Wynne, “Tunable coherent vacuum-ultraviolet generation in atomic vapors,” Phys. Rev. Lett. 32, 343 (1974).
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Z. Amitay, A. Gandman, L. Chuntonov, and L. Rybak, “Multichannel selective femtosecond coherent control based on symmetry properties,” Phys. Rev. Lett. 100, 193002 (2008).
[Crossref] [PubMed]

D. Oron, N. Dudovich, D. Yelin, and Silberberg, “Narrow-band coherent anti-stokes raman signals from broadband pulses,” Phys. Rev. Lett. 88, 063004 (2002).
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N. Dudovich, T. Polack, A. Pe’er, and Y. Silberberg, “Simple route to strong-field coherent control,” Phys. Rev. Lett. 94, 083002 (2005).
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N. Dudovich, B. Dayan, S. M. Gallagher Faeder, and Y. Silberberg, “Transform-limited pulses are not optimal for resonant multiphoton transitions,” Phys. Rev. Lett. 86, 47 (2001).
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Rev. Sci. Instrum. (1)

A. M. Weiner, “Femtosecond pulse shaping using spatial light modulators,” Rev. Sci. Instrum. 71, 1929 (2000).
[Crossref]

Science (2)

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Other (3)

M. Shapiro and P. Brumer, Principles of the quantum control of molecular processes (Wiley, New Jersey, 2003).

L. Rybak, L. Chuntonov, A. Gandman, N. Shakour, and Z. Amitay are preparing a manuscript to be called “Measurements of collisional dephasing of 3s-4s Na coherent superpositions by femtosecond four-wave mixing.”

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atom (Dover Publications, New York, 1987).

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Figures (2)

Fig. 1.
Fig. 1.

The generation of coherent broadband UV radiation via resonance-mediated (2+1) three-photon excitation in Na. Several sets of three-photon pathways that are on resonance (δ=0) or near resonance (δ≠0) with the intermediate state |r〉≡4s are shown. The inset shows the two NIR excitation pulse spectra with (thick gray line) and without (thin black line) a resonant access to |v R〉≡7p.

Fig. 2.
Fig. 2.

Experimental (circles) and theoretical (solid lines) results for the total UV yield generated by shaped NIR pulses with spectral π phase step, when the excitation pulse spectrum (a1) allows and (b1) blocks the resonant access to 7p (see Fig. 1). The UV yield is shown as a function of the position of the NIR π phase step. The traces are normalized by the yield generated by the corresponding transform-limited (TL) pulse. The UV spectra generated by the NIR TL pulses in the two cases are shown in panels (a2) and (b2).

Equations (10)

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μ ( t ) = j j a j ( t ) * a j ( t ) μ j , j e i ω j , j t ,
μ ( 3 ) ( t ) = j j a j ( 3 ) ( t ) * a j ( 0 ) ( t ) μ j , j e i ω j , j t + a j ( 2 ) ( t ) * a j ( 1 ) ( t ) μ j , j e i ω j , j t + c . c . ,
a j ( n ) ( t ) = 1 i h ̅ j μ j , j t a j ( n 1 ) ( t ) E ( t ) e i ω j , j t dt ,
E UV ( ω UV ) μ r , g 2 [ D R ( UV ) ( ω UV ) + D nonR ( UV ) ] A ( 2 + 1 ) ( ω UV ) ,
A ( 2 + 1 ) ( ω UV ) = A ( 2 + 1 ) on res ( ω UV ) + A ( 2 + 1 ) near res ( ω UV ) ,
A ( 2 + 1 ) on res ( ω UV ) = i π E ( ω UV ω r , g ) A ( 2 ) ( ω r , g ) ,
A ( 2 + 1 ) near res ( ω UV ) = 1 δ A ( 2 ) ( ω r , g δ ) E ( ω UV ω r , g + δ ) d δ ,
A ( 2 ) ( Ω ) = E ( ω ) E ( Ω ω ) d ω ,
D R ( UV ) ( ω UV ) = μ g , v R μ v R , r ω v R , g ω UV + i Γ v R ,
D nonR ( UR ) = v j v R μ g , v j μ v j , r ω v j , g ( ω r , g + ω 0 ) = v j v R μ g , v j μ v j , r ω v j , r ω 0 ,

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