Abstract

We investigate the local field effects in a ZnO dense medium. Our results show due to the local-field effects, the Lorentz shifts can be found in the reflected spectra driven by the few-cycle laser pulse. Moreover, the dynamic Lorentz shifts depend sensitively on the carrier-envelope phase (CEP) of the few-cycle laser pulse, which provides a useful means to obtain the CEP information by the frequency shifts.

© 2009 OSA

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  1. T. Brabec and F. Krausz, “Intense few-cycle laser field: frontiers of nonlinear optics,” Rev. Mod. Phys. 72(2), 545–591 (2000).
    [CrossRef]
  2. S. Hughes, “Breakdown of the area theorem: carrier-wave Rabi flopping of femtosecond optical pulses,” Phys. Rev. Lett. 81(16), 3363–3366 (1998).
    [CrossRef]
  3. O. D. Mücke, T. Tritschler, M. Wegener, U. Morgner, and F. X. Kärtner, “Signatures of carrier-wave Rabi flopping in GaAs,” Phys. Rev. Lett. 87(5), 057401 (2001).
    [CrossRef] [PubMed]
  4. V. P. Kalosha and J. Herrmann, “Formation of optical subcycle pulses and full Maxwell-Bloch solitary waves by coherent propagation effects,” Phys. Rev. Lett. 83(3), 544–547 (1999).
    [CrossRef]
  5. O. D. Mücke, T. Tritschler, M. Wegener, U. Morgner, F. X. Kärtner, G. Khitrova, and H. M. Gibbs, “Carrier-wave Rabi flopping: role of the carrier-envelope phase,” Opt. Lett. 29(18), 2160–2162 (2004).
    [CrossRef] [PubMed]
  6. O. D. Mücke, T. Tritschler, M. Wegener, U. Morgner, and F. X. Kärtner, “Role of the carrier-envelope offset phase of few-cycle pulses in nonperturbative resonant nonlinear optics,” Phys. Rev. Lett. 89(12), 127401 (2002).
    [CrossRef] [PubMed]
  7. T. Tritschler, O. D. Mücke, M. Wegener, and F. X. Kärtner, “Evidence for third-harmonic generation in disguise of second-harmonic generation in extreme nonlinear optics,” Phys. Rev. Lett. 90(21), 217404 (2003).
    [CrossRef] [PubMed]
  8. C. Van Vlack and S. Hughes, “Third-harmonic generation in disguise of second-harmonic generation revisited: role of thin-film thickness and carrier-envelope phase,” Opt. Lett. 32(2), 187–189 (2007).
    [CrossRef] [PubMed]
  9. C. Zhang, X. Song, W. Yang, and Z. Xu, “Carrier-envelope phase control of carrier-wave Rabi flopping in asymmetric semiparabolic quantum well,” Opt. Express 16(3), 1487–1496 (2008).
    [CrossRef] [PubMed]
  10. D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis,” Science 288(5466), 635–639 (2000).
    [CrossRef] [PubMed]
  11. G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. De Silvestri, “Absolute-phase phenomena in photoionization with few-cycle laser pulses,” Nature 414(6860), 182–184 (2001).
    [CrossRef] [PubMed]
  12. W. Yang, X. Song, R. Li, and Z. Xu, “Generation of intense extreme supercontinuum radiation via resonant propagation effects,” Phys. Rev. A 78(2), 023836 (2008).
    [CrossRef]
  13. C. Lemell, X. M. Tong, F. Krausz, and J. Burgdörfer, “Electron emission from metal surfaces by ultrashort pulses: determination of the carrier-envelope phase,” Phys. Rev. Lett. 90(7), 076403 (2003).
    [CrossRef] [PubMed]
  14. C. Van Vlack and S. Hughes, “Carrier-envelope-offset phase control of ultrafast optical rectification in resonantly excited semiconductors,” Phys. Rev. Lett. 98(16), 167404 (2007).
    [CrossRef] [PubMed]
  15. W. Yang, X. Song, S. Gong, Y. Cheng, and Z. Xu, “Carrier-envelope phase dependence of few-cycle ultrashort laser pulse propagation in a polar molecule medium,” Phys. Rev. Lett. 99(13), 133602 (2007).
    [CrossRef] [PubMed]
  16. C. Zhang, W. Yang, X. Song, and Z. Xu, “Carrier-envelope phase dependence of the spectra of reflected few-cycle laser pulses in the presence of a static electric field,” Phys. Rev. A 79(4), 043823 (2009).
    [CrossRef]
  17. C. Zhang, W. Yang, X. Song, and Z. Xu, “Phase control of higher spectral components in the presence of a static electric field,” J. Phys. B 42(5), 055602 (2009).
    [CrossRef]
  18. R. Friedberg, S. R. Hartmann, and J. T. Manassah, “Frequency shifts in emission and absorption by resonant systems of two-level atoms,” Phys. Rep. 7(3), 101–179 (1973).
    [CrossRef]
  19. K. J. Boller, A. Imamolu, and S. E. Harris, “Observation of electromagnetically induced transparency,” Phys. Rev. Lett. 66(20), 2593–2596 (1991).
    [CrossRef] [PubMed]
  20. D. S. Chemla and D. A. B. Miller, “Mechanism for enhanced optical nonlinearities and bistability by combined dielectric-electronic confinement in semiconductor microcrystallites,” Opt. Lett. 11(8), 522–524 (1986).
    [CrossRef] [PubMed]
  21. M. E. Crenshaw, “Comparison of quantum and classical local-field effects on two-level atoms in a dielectric,” Phys. Rev. A 78(5), 053827 (2008).
    [CrossRef]
  22. C. M. Bowden and J. P. Dowling, “Near-dipole-dipole effects in dense media: Generalized Maxwell-Bloch equations,” Phys. Rev. A 47(2), 1247–1251 (1993).
    [CrossRef] [PubMed]
  23. M. G. Benedict, V. A. Malyshev, E. D. Trifonov, and A. I. Zaitsev, “Reflection and transmission of ultrashort light pulses through a thin resonant medium: Local-field effects,” Phys. Rev. A 43(7), 3845–3853 (1991).
    [CrossRef] [PubMed]
  24. E. Paspalakis, A. Kalini, and A. F. Terzis, “Local field effects in excitonic population transfer in a driven quantum dot system,” Phys. Rev. B 73(7), 073305 (2006).
    [CrossRef]
  25. D. V. Novitsky, “Compression of an intensive light pulse in photonic-band-gap structures with a dense resonant medium,” Phys. Rev. A 79(2), 023828 (2009).
    [CrossRef]
  26. J. T. Manassah and B. Gross, “The dynamical lorentz shift in an extended optically dense superradiant amplifier,” Opt. Express 1(6), 141–151 (1997).
    [CrossRef] [PubMed]
  27. M. E. Crenshaw, M. Scalora, and C. M. Bowden, “Ultrafast intrinsic optical switching in a dense medium of two-level atoms,” Phys. Rev. Lett. 68(7), 911–914 (1992).
    [CrossRef] [PubMed]
  28. J. J. Maki, M. S. Malcuit, J. E. Sipe, and R. W. Boyd, “Linear and nonlinear optical measurements of the Lorentz local field,” Phys. Rev. Lett. 67(8), 972–975 (1991).
    [CrossRef] [PubMed]
  29. H. Van Kampen, V. A. Sautenkov, C. J. C. Smeets, E. R. Eliel, and J. P. Woerdman, “Measurement of the excitation dependence of the Lorentz local-field shift,” Phys. Rev. A 59(1), 271–274 (1999).
    [CrossRef]
  30. M. E. Crenshaw, K. U. Sullivan, and C. M. Bowden, “Local field effects in multicomponent media,” Opt. Express 1(6), 152–159 (1997).
    [CrossRef] [PubMed]
  31. R. Friedberg, S. R. Hartmann, and J. T. Manassah, “Effects of the dynamic Lorentz shift on four-wave parametric interactions in a strongly driven two-level system,” Phys. Rev. A 42(1), 494–497 (1990).
    [CrossRef] [PubMed]
  32. R. Friedberg, S. R. Hartmann, and J. T. Manassah, “Effect of local-field correction on a strongly pumped resonance,” Phys. Rev. A 40(5), 2446–2451 (1989).
    [CrossRef] [PubMed]
  33. K. Yee, “Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media,” IEEE Trans. Antenn. Propag. 14(3), 302–307 (1966).
    [CrossRef]
  34. R. W. Ziolkowski, J. M. Arnold, and D. M. Gogny, “Ultrafast pulse interactions with two-level atoms,” Phys. Rev. A 52(4), 3082–3094 (1995).
    [CrossRef] [PubMed]
  35. X. Song, S. Gong, S. Jin, and Z. Xu, “Formation of higher spectral components in a two-level medium driven by two-color ultrashort laser pulses,” Phys. Rev. A 69(1), 015801 (2004).
    [CrossRef]
  36. X. Song, S. Gong, and Z. Xu, “Propagation of a few-cycle laser pulse in a V-type three-level system,” Opt. Spectrosc. 99(4), 517–521 (2005).
    [CrossRef]
  37. W. Yang, S. Gong, and Z. Xu, “Enhancement of ultrafast four-wave mixing in a polar molecule medium,” Opt. Express 14(16), 7216–7223 (2006).
    [CrossRef] [PubMed]
  38. J. Xiao, Z. Wang, and Z. Xu, “Area evolution of a few-cycle pulse laser in a two-level-atom medium,” Phys. Rev. A 65(3), 031402 (2002).
    [CrossRef]
  39. G. Mur, “Absorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic-field equations,” IEEE Trans. Electromagn. Compat. EMC-23(4), 377–382 (1981).
    [CrossRef]
  40. A. Taflove and M. E. Brodwin, “Numerical solution of steady-state electromagnetic scattering problems using the time-dependent Maxwell’s equations,” IEEE Trans. Microw. Theory Tech. 23(8), 623–630 (1975).
    [CrossRef]
  41. K. Xia, S. Gong, C. Liu, X. Song, and Y. Niu, “Near dipole-dipole effects on the propagation of few-cycle pulse in a dense two-level medium,” Opt. Express 13(16), 5913–5924 (2005).
    [CrossRef] [PubMed]
  42. C. W. Luo, K. Reimann, M. Woerner, T. Elsaesser, R. Hey, and K. H. Ploog, “Phase-resolved nonlinear response of a two-dimensional electron gas under femtosecond intersubband excitation,” Phys. Rev. Lett. 92(4), 047402 (2004).
    [CrossRef] [PubMed]
  43. A. Brown and W. J. Meath, “On the effects of absolute laser phase on the interaction of a pulsed laser with polar versus nonpolar molecules,” J. Chem. Phys. 109(21), 9351–9365 (1998).
    [CrossRef]

2009

C. Zhang, W. Yang, X. Song, and Z. Xu, “Carrier-envelope phase dependence of the spectra of reflected few-cycle laser pulses in the presence of a static electric field,” Phys. Rev. A 79(4), 043823 (2009).
[CrossRef]

C. Zhang, W. Yang, X. Song, and Z. Xu, “Phase control of higher spectral components in the presence of a static electric field,” J. Phys. B 42(5), 055602 (2009).
[CrossRef]

D. V. Novitsky, “Compression of an intensive light pulse in photonic-band-gap structures with a dense resonant medium,” Phys. Rev. A 79(2), 023828 (2009).
[CrossRef]

2008

M. E. Crenshaw, “Comparison of quantum and classical local-field effects on two-level atoms in a dielectric,” Phys. Rev. A 78(5), 053827 (2008).
[CrossRef]

C. Zhang, X. Song, W. Yang, and Z. Xu, “Carrier-envelope phase control of carrier-wave Rabi flopping in asymmetric semiparabolic quantum well,” Opt. Express 16(3), 1487–1496 (2008).
[CrossRef] [PubMed]

W. Yang, X. Song, R. Li, and Z. Xu, “Generation of intense extreme supercontinuum radiation via resonant propagation effects,” Phys. Rev. A 78(2), 023836 (2008).
[CrossRef]

2007

C. Van Vlack and S. Hughes, “Carrier-envelope-offset phase control of ultrafast optical rectification in resonantly excited semiconductors,” Phys. Rev. Lett. 98(16), 167404 (2007).
[CrossRef] [PubMed]

W. Yang, X. Song, S. Gong, Y. Cheng, and Z. Xu, “Carrier-envelope phase dependence of few-cycle ultrashort laser pulse propagation in a polar molecule medium,” Phys. Rev. Lett. 99(13), 133602 (2007).
[CrossRef] [PubMed]

C. Van Vlack and S. Hughes, “Third-harmonic generation in disguise of second-harmonic generation revisited: role of thin-film thickness and carrier-envelope phase,” Opt. Lett. 32(2), 187–189 (2007).
[CrossRef] [PubMed]

2006

E. Paspalakis, A. Kalini, and A. F. Terzis, “Local field effects in excitonic population transfer in a driven quantum dot system,” Phys. Rev. B 73(7), 073305 (2006).
[CrossRef]

W. Yang, S. Gong, and Z. Xu, “Enhancement of ultrafast four-wave mixing in a polar molecule medium,” Opt. Express 14(16), 7216–7223 (2006).
[CrossRef] [PubMed]

2005

K. Xia, S. Gong, C. Liu, X. Song, and Y. Niu, “Near dipole-dipole effects on the propagation of few-cycle pulse in a dense two-level medium,” Opt. Express 13(16), 5913–5924 (2005).
[CrossRef] [PubMed]

X. Song, S. Gong, and Z. Xu, “Propagation of a few-cycle laser pulse in a V-type three-level system,” Opt. Spectrosc. 99(4), 517–521 (2005).
[CrossRef]

2004

C. W. Luo, K. Reimann, M. Woerner, T. Elsaesser, R. Hey, and K. H. Ploog, “Phase-resolved nonlinear response of a two-dimensional electron gas under femtosecond intersubband excitation,” Phys. Rev. Lett. 92(4), 047402 (2004).
[CrossRef] [PubMed]

X. Song, S. Gong, S. Jin, and Z. Xu, “Formation of higher spectral components in a two-level medium driven by two-color ultrashort laser pulses,” Phys. Rev. A 69(1), 015801 (2004).
[CrossRef]

O. D. Mücke, T. Tritschler, M. Wegener, U. Morgner, F. X. Kärtner, G. Khitrova, and H. M. Gibbs, “Carrier-wave Rabi flopping: role of the carrier-envelope phase,” Opt. Lett. 29(18), 2160–2162 (2004).
[CrossRef] [PubMed]

2003

T. Tritschler, O. D. Mücke, M. Wegener, and F. X. Kärtner, “Evidence for third-harmonic generation in disguise of second-harmonic generation in extreme nonlinear optics,” Phys. Rev. Lett. 90(21), 217404 (2003).
[CrossRef] [PubMed]

C. Lemell, X. M. Tong, F. Krausz, and J. Burgdörfer, “Electron emission from metal surfaces by ultrashort pulses: determination of the carrier-envelope phase,” Phys. Rev. Lett. 90(7), 076403 (2003).
[CrossRef] [PubMed]

2002

O. D. Mücke, T. Tritschler, M. Wegener, U. Morgner, and F. X. Kärtner, “Role of the carrier-envelope offset phase of few-cycle pulses in nonperturbative resonant nonlinear optics,” Phys. Rev. Lett. 89(12), 127401 (2002).
[CrossRef] [PubMed]

J. Xiao, Z. Wang, and Z. Xu, “Area evolution of a few-cycle pulse laser in a two-level-atom medium,” Phys. Rev. A 65(3), 031402 (2002).
[CrossRef]

2001

O. D. Mücke, T. Tritschler, M. Wegener, U. Morgner, and F. X. Kärtner, “Signatures of carrier-wave Rabi flopping in GaAs,” Phys. Rev. Lett. 87(5), 057401 (2001).
[CrossRef] [PubMed]

G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. De Silvestri, “Absolute-phase phenomena in photoionization with few-cycle laser pulses,” Nature 414(6860), 182–184 (2001).
[CrossRef] [PubMed]

2000

T. Brabec and F. Krausz, “Intense few-cycle laser field: frontiers of nonlinear optics,” Rev. Mod. Phys. 72(2), 545–591 (2000).
[CrossRef]

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis,” Science 288(5466), 635–639 (2000).
[CrossRef] [PubMed]

1999

V. P. Kalosha and J. Herrmann, “Formation of optical subcycle pulses and full Maxwell-Bloch solitary waves by coherent propagation effects,” Phys. Rev. Lett. 83(3), 544–547 (1999).
[CrossRef]

H. Van Kampen, V. A. Sautenkov, C. J. C. Smeets, E. R. Eliel, and J. P. Woerdman, “Measurement of the excitation dependence of the Lorentz local-field shift,” Phys. Rev. A 59(1), 271–274 (1999).
[CrossRef]

1998

S. Hughes, “Breakdown of the area theorem: carrier-wave Rabi flopping of femtosecond optical pulses,” Phys. Rev. Lett. 81(16), 3363–3366 (1998).
[CrossRef]

A. Brown and W. J. Meath, “On the effects of absolute laser phase on the interaction of a pulsed laser with polar versus nonpolar molecules,” J. Chem. Phys. 109(21), 9351–9365 (1998).
[CrossRef]

1997

1995

R. W. Ziolkowski, J. M. Arnold, and D. M. Gogny, “Ultrafast pulse interactions with two-level atoms,” Phys. Rev. A 52(4), 3082–3094 (1995).
[CrossRef] [PubMed]

1993

C. M. Bowden and J. P. Dowling, “Near-dipole-dipole effects in dense media: Generalized Maxwell-Bloch equations,” Phys. Rev. A 47(2), 1247–1251 (1993).
[CrossRef] [PubMed]

1992

M. E. Crenshaw, M. Scalora, and C. M. Bowden, “Ultrafast intrinsic optical switching in a dense medium of two-level atoms,” Phys. Rev. Lett. 68(7), 911–914 (1992).
[CrossRef] [PubMed]

1991

J. J. Maki, M. S. Malcuit, J. E. Sipe, and R. W. Boyd, “Linear and nonlinear optical measurements of the Lorentz local field,” Phys. Rev. Lett. 67(8), 972–975 (1991).
[CrossRef] [PubMed]

M. G. Benedict, V. A. Malyshev, E. D. Trifonov, and A. I. Zaitsev, “Reflection and transmission of ultrashort light pulses through a thin resonant medium: Local-field effects,” Phys. Rev. A 43(7), 3845–3853 (1991).
[CrossRef] [PubMed]

K. J. Boller, A. Imamolu, and S. E. Harris, “Observation of electromagnetically induced transparency,” Phys. Rev. Lett. 66(20), 2593–2596 (1991).
[CrossRef] [PubMed]

1990

R. Friedberg, S. R. Hartmann, and J. T. Manassah, “Effects of the dynamic Lorentz shift on four-wave parametric interactions in a strongly driven two-level system,” Phys. Rev. A 42(1), 494–497 (1990).
[CrossRef] [PubMed]

1989

R. Friedberg, S. R. Hartmann, and J. T. Manassah, “Effect of local-field correction on a strongly pumped resonance,” Phys. Rev. A 40(5), 2446–2451 (1989).
[CrossRef] [PubMed]

1986

1981

G. Mur, “Absorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic-field equations,” IEEE Trans. Electromagn. Compat. EMC-23(4), 377–382 (1981).
[CrossRef]

1975

A. Taflove and M. E. Brodwin, “Numerical solution of steady-state electromagnetic scattering problems using the time-dependent Maxwell’s equations,” IEEE Trans. Microw. Theory Tech. 23(8), 623–630 (1975).
[CrossRef]

1973

R. Friedberg, S. R. Hartmann, and J. T. Manassah, “Frequency shifts in emission and absorption by resonant systems of two-level atoms,” Phys. Rep. 7(3), 101–179 (1973).
[CrossRef]

1966

K. Yee, “Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media,” IEEE Trans. Antenn. Propag. 14(3), 302–307 (1966).
[CrossRef]

Arnold, J. M.

R. W. Ziolkowski, J. M. Arnold, and D. M. Gogny, “Ultrafast pulse interactions with two-level atoms,” Phys. Rev. A 52(4), 3082–3094 (1995).
[CrossRef] [PubMed]

Benedict, M. G.

M. G. Benedict, V. A. Malyshev, E. D. Trifonov, and A. I. Zaitsev, “Reflection and transmission of ultrashort light pulses through a thin resonant medium: Local-field effects,” Phys. Rev. A 43(7), 3845–3853 (1991).
[CrossRef] [PubMed]

Boller, K. J.

K. J. Boller, A. Imamolu, and S. E. Harris, “Observation of electromagnetically induced transparency,” Phys. Rev. Lett. 66(20), 2593–2596 (1991).
[CrossRef] [PubMed]

Bowden, C. M.

M. E. Crenshaw, K. U. Sullivan, and C. M. Bowden, “Local field effects in multicomponent media,” Opt. Express 1(6), 152–159 (1997).
[CrossRef] [PubMed]

C. M. Bowden and J. P. Dowling, “Near-dipole-dipole effects in dense media: Generalized Maxwell-Bloch equations,” Phys. Rev. A 47(2), 1247–1251 (1993).
[CrossRef] [PubMed]

M. E. Crenshaw, M. Scalora, and C. M. Bowden, “Ultrafast intrinsic optical switching in a dense medium of two-level atoms,” Phys. Rev. Lett. 68(7), 911–914 (1992).
[CrossRef] [PubMed]

Boyd, R. W.

J. J. Maki, M. S. Malcuit, J. E. Sipe, and R. W. Boyd, “Linear and nonlinear optical measurements of the Lorentz local field,” Phys. Rev. Lett. 67(8), 972–975 (1991).
[CrossRef] [PubMed]

Brabec, T.

T. Brabec and F. Krausz, “Intense few-cycle laser field: frontiers of nonlinear optics,” Rev. Mod. Phys. 72(2), 545–591 (2000).
[CrossRef]

Brodwin, M. E.

A. Taflove and M. E. Brodwin, “Numerical solution of steady-state electromagnetic scattering problems using the time-dependent Maxwell’s equations,” IEEE Trans. Microw. Theory Tech. 23(8), 623–630 (1975).
[CrossRef]

Brown, A.

A. Brown and W. J. Meath, “On the effects of absolute laser phase on the interaction of a pulsed laser with polar versus nonpolar molecules,” J. Chem. Phys. 109(21), 9351–9365 (1998).
[CrossRef]

Burgdörfer, J.

C. Lemell, X. M. Tong, F. Krausz, and J. Burgdörfer, “Electron emission from metal surfaces by ultrashort pulses: determination of the carrier-envelope phase,” Phys. Rev. Lett. 90(7), 076403 (2003).
[CrossRef] [PubMed]

Chemla, D. S.

Cheng, Y.

W. Yang, X. Song, S. Gong, Y. Cheng, and Z. Xu, “Carrier-envelope phase dependence of few-cycle ultrashort laser pulse propagation in a polar molecule medium,” Phys. Rev. Lett. 99(13), 133602 (2007).
[CrossRef] [PubMed]

Crenshaw, M. E.

M. E. Crenshaw, “Comparison of quantum and classical local-field effects on two-level atoms in a dielectric,” Phys. Rev. A 78(5), 053827 (2008).
[CrossRef]

M. E. Crenshaw, K. U. Sullivan, and C. M. Bowden, “Local field effects in multicomponent media,” Opt. Express 1(6), 152–159 (1997).
[CrossRef] [PubMed]

M. E. Crenshaw, M. Scalora, and C. M. Bowden, “Ultrafast intrinsic optical switching in a dense medium of two-level atoms,” Phys. Rev. Lett. 68(7), 911–914 (1992).
[CrossRef] [PubMed]

Cundiff, S. T.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis,” Science 288(5466), 635–639 (2000).
[CrossRef] [PubMed]

De Silvestri, S.

G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. De Silvestri, “Absolute-phase phenomena in photoionization with few-cycle laser pulses,” Nature 414(6860), 182–184 (2001).
[CrossRef] [PubMed]

Diddams, S. A.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis,” Science 288(5466), 635–639 (2000).
[CrossRef] [PubMed]

Dowling, J. P.

C. M. Bowden and J. P. Dowling, “Near-dipole-dipole effects in dense media: Generalized Maxwell-Bloch equations,” Phys. Rev. A 47(2), 1247–1251 (1993).
[CrossRef] [PubMed]

Eliel, E. R.

H. Van Kampen, V. A. Sautenkov, C. J. C. Smeets, E. R. Eliel, and J. P. Woerdman, “Measurement of the excitation dependence of the Lorentz local-field shift,” Phys. Rev. A 59(1), 271–274 (1999).
[CrossRef]

Elsaesser, T.

C. W. Luo, K. Reimann, M. Woerner, T. Elsaesser, R. Hey, and K. H. Ploog, “Phase-resolved nonlinear response of a two-dimensional electron gas under femtosecond intersubband excitation,” Phys. Rev. Lett. 92(4), 047402 (2004).
[CrossRef] [PubMed]

Friedberg, R.

R. Friedberg, S. R. Hartmann, and J. T. Manassah, “Effects of the dynamic Lorentz shift on four-wave parametric interactions in a strongly driven two-level system,” Phys. Rev. A 42(1), 494–497 (1990).
[CrossRef] [PubMed]

R. Friedberg, S. R. Hartmann, and J. T. Manassah, “Effect of local-field correction on a strongly pumped resonance,” Phys. Rev. A 40(5), 2446–2451 (1989).
[CrossRef] [PubMed]

R. Friedberg, S. R. Hartmann, and J. T. Manassah, “Frequency shifts in emission and absorption by resonant systems of two-level atoms,” Phys. Rep. 7(3), 101–179 (1973).
[CrossRef]

Gibbs, H. M.

Gogny, D. M.

R. W. Ziolkowski, J. M. Arnold, and D. M. Gogny, “Ultrafast pulse interactions with two-level atoms,” Phys. Rev. A 52(4), 3082–3094 (1995).
[CrossRef] [PubMed]

Gong, S.

W. Yang, X. Song, S. Gong, Y. Cheng, and Z. Xu, “Carrier-envelope phase dependence of few-cycle ultrashort laser pulse propagation in a polar molecule medium,” Phys. Rev. Lett. 99(13), 133602 (2007).
[CrossRef] [PubMed]

W. Yang, S. Gong, and Z. Xu, “Enhancement of ultrafast four-wave mixing in a polar molecule medium,” Opt. Express 14(16), 7216–7223 (2006).
[CrossRef] [PubMed]

X. Song, S. Gong, and Z. Xu, “Propagation of a few-cycle laser pulse in a V-type three-level system,” Opt. Spectrosc. 99(4), 517–521 (2005).
[CrossRef]

K. Xia, S. Gong, C. Liu, X. Song, and Y. Niu, “Near dipole-dipole effects on the propagation of few-cycle pulse in a dense two-level medium,” Opt. Express 13(16), 5913–5924 (2005).
[CrossRef] [PubMed]

X. Song, S. Gong, S. Jin, and Z. Xu, “Formation of higher spectral components in a two-level medium driven by two-color ultrashort laser pulses,” Phys. Rev. A 69(1), 015801 (2004).
[CrossRef]

Grasbon, F.

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C. Lemell, X. M. Tong, F. Krausz, and J. Burgdörfer, “Electron emission from metal surfaces by ultrashort pulses: determination of the carrier-envelope phase,” Phys. Rev. Lett. 90(7), 076403 (2003).
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[CrossRef]

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C. Van Vlack and S. Hughes, “Third-harmonic generation in disguise of second-harmonic generation revisited: role of thin-film thickness and carrier-envelope phase,” Opt. Lett. 32(2), 187–189 (2007).
[CrossRef] [PubMed]

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[CrossRef] [PubMed]

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[CrossRef] [PubMed]

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[CrossRef] [PubMed]

O. D. Mücke, T. Tritschler, M. Wegener, U. Morgner, and F. X. Kärtner, “Role of the carrier-envelope offset phase of few-cycle pulses in nonperturbative resonant nonlinear optics,” Phys. Rev. Lett. 89(12), 127401 (2002).
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H. Van Kampen, V. A. Sautenkov, C. J. C. Smeets, E. R. Eliel, and J. P. Woerdman, “Measurement of the excitation dependence of the Lorentz local-field shift,” Phys. Rev. A 59(1), 271–274 (1999).
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C. Zhang, X. Song, W. Yang, and Z. Xu, “Carrier-envelope phase control of carrier-wave Rabi flopping in asymmetric semiparabolic quantum well,” Opt. Express 16(3), 1487–1496 (2008).
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[CrossRef]

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[CrossRef]

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C. Zhang, W. Yang, X. Song, and Z. Xu, “Carrier-envelope phase dependence of the spectra of reflected few-cycle laser pulses in the presence of a static electric field,” Phys. Rev. A 79(4), 043823 (2009).
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C. Zhang, W. Yang, X. Song, and Z. Xu, “Phase control of higher spectral components in the presence of a static electric field,” J. Phys. B 42(5), 055602 (2009).
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W. Yang, X. Song, S. Gong, Y. Cheng, and Z. Xu, “Carrier-envelope phase dependence of few-cycle ultrashort laser pulse propagation in a polar molecule medium,” Phys. Rev. Lett. 99(13), 133602 (2007).
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C. Zhang, W. Yang, X. Song, and Z. Xu, “Carrier-envelope phase dependence of the spectra of reflected few-cycle laser pulses in the presence of a static electric field,” Phys. Rev. A 79(4), 043823 (2009).
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C. Zhang, W. Yang, X. Song, and Z. Xu, “Phase control of higher spectral components in the presence of a static electric field,” J. Phys. B 42(5), 055602 (2009).
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Figures (6)

Fig. 1
Fig. 1

(Color online) The Lorentz shift of the normalized reflected spectra.

Fig. 2
Fig. 2

(Color online) The dynamic Lorentz shift of the normalized reflected spectra of the few-cycle laser pulse with the LFE.

Fig. 3
Fig. 3

(Color online) (a) The population difference n near the front face with the LFE. (b) The reemitted spectra [ E e m ( ω ) ] near the front face of the medium.

Fig. 4
Fig. 4

(Color online) Same as in Fig. 2 but for the presence of a static electric field.

Fig. 5
Fig. 5

(Color online) Same as in Fig. 3 but the presence of a static electric field.

Fig. 6
Fig. 6

(Color online) Same as in Fig. 2 but for the number density of medium N = 3.0 × 10 20 c m 3 .

Equations (4)

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H y t = 1 μ 0 E x z , E x t = 1 ε 0 ε s H y z 1 ε 0 ε s P x t ,
ρ 12 t = ω 12 ρ 12 + i d E l o c n 1 τ 2 ρ 12 ,
n t = i 2 d E l o c ( ρ 12 ρ 12 * ) 1 τ 1 n ,
E x ( t = 0 , z ) = E 0 sec h [ 1.76 ( z / c z 0 / c ) / τ 0 ] cos [ ω 0 ( z z 0 ) / c + φ ] ,

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