Abstract

The nonlinear transmission change of a weak beam in the presence of an intense beam is measured and analyzed in various absorbing and scattering materials. Simultaneous contributions of different nonlinear processes are identified. Addition of the nonlinear refractive-index change and Rayleigh-wing scattering contributions yields particularly large transmission changes.

© 2001 Optical Society of America

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References

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  1. R.W. Boyd, Nonlinear Optics (Academic, New York, 1992), p. 274.
  2. N. Tang and R. L. Sutherland, “Time domain theory for pump–probe experiments with chirped pulses,” J. Opt. Soc. Am. B 14, 3412–3423 (1997).
    [CrossRef]
  3. T. E. Dutton, P.M. Rentzepis, T. P. Shen, J. Scholl, and D. Rogovin, “Picosecond degenerate two wave mixing,” J. Opt. Soc. Am. B 9, 1843–1849 (1992).
    [CrossRef]
  4. D. Rogovin, T. P. Shen, J. Scholl, T. Dutton, and P. Rentzepis, “Polarization-resolved coherent transient beam combination in optical Kerr media,” Opt. Lett. 15, 1132–1134 (1990).
    [CrossRef] [PubMed]
  5. A. Dogariu, T. Xiao, D. J. Hagan, A. A. Said, E. W. Van Stryland, and N. Bloembergen, “Purely refractive transient energy transfer by stimulated Rayleigh-wing scattering,” J. Opt. Soc. Am. B 44, 796–802 (1997).
    [CrossRef]
  6. M. Sylla, D. Rouede, R. Chevalier, X. Nguyen Phu, and G. Rivoire, “Picosecond nonlinear absorption and phase conjugation in BSO and BGO crystals,” Opt. Commun. 90, 391–398 (1992).
    [CrossRef]
  7. M. Emziane, “Changement d’état de polarization d’une onde élliptique dans les absorbants non linéaires,” DEA Rep. (University of Nantes and Angers, Angers, 1994).
  8. C. Uhrich and L. Hesselink, “Temperature, intensity, and field dependence of the absorption coefficient of Bi12SiO20,” Opt. Lett. 15, 455–457 (1990).
    [CrossRef] [PubMed]
  9. B. Sahraoui, R. Chevalier, X. Nguyen Phu, G. Rivoire, and W. Bala, “Influence of free carrier concentration on absorption and third-order susceptibilities of n-type ZnSe crystals,” J. Appl. Phys. 80, 4854–4858 (1996).
    [CrossRef]
  10. M. Sheik Bahae, A. A. Said, Taii-Uei Wei, D. J. Hagan, and E. W. Van Stryland, “Sensitive measurement of nonlinearities using a single beam,” IEEE J. Quantum Electron. 26, 760–769 (1990).
    [CrossRef]
  11. A. Fahmi, I. V. Kityk, M. Lefkir, B. Sahraoui, M. Sylla, and G. Rivoire, “Two photon absorption in nitrobenzol,” J. Opt. A: Pure Appl. Opt. 1, 192–196 (1999).
    [CrossRef]
  12. A. Fahmi, J. P. Bourdin, R. Chevalier, X. Nguyen Phu, and G. Rivoire, “Influence of SWRS in χ〈3〉 measurements and wave mixing experiments in CS2,” Nonlinear Opt. 12, 165–178 (1995).
  13. M. Lefkir and G. Rivoire, “Influence of transverse effects on measurement of third-order susceptibility by self-induced polarization state changes,” J. Opt. Soc. Am. B 14, 2856–2864 (1997).
    [CrossRef]
  14. N. Phu Xuan, J. L. Ferrrier, J. Gazengel, and G. Rivoire, “Picosecond measurements of the third-order susceptibility tensor in liquids,” Opt. Commun. 5, 433–437 (1984).
    [CrossRef]
  15. W. Kaiser and M. Maier, “Stimulated scattering,” in Laser Handbook, F. T. Arecchi and E. O. Schulz-Dubois, eds. (North Holland, Amsterdam, 1972), pp. 1136–1140.
  16. R. Y. Chiao and J. Godine, “Polarization dependence of stimulated Rayleigh wing scattering and the optical frequency Kerr effect,” Phys. Rev. 185, 430–445 (1969).
    [CrossRef]
  17. M. Paillette, “Recherche expérimentale sur les effets Kerr induits par une onde lumineuse,” Ann. Phys. (Leipzig) T4, 671–712 (1969).
  18. R. Barillé and G. Rivoire, “Stimulated Rayleigh wing scattering,” in Scattering, (Academic, London, 2001), Chap. 2.5.2.
  19. J. S. Aitchinson, J. U. Kang, and G. I. Stegeman, “Signal gain due to polarization coupling in an AlGaAs channel waveguide,” Appl. Phys. Lett. 67, 2456–2458 (1995).
    [CrossRef]
  20. D. Wang, R. Barillé, and G. Rivoire, “Influence of soliton propagation on the beam polarization dynamics in planar waveguide,” J. Opt. Soc. Am. B 15, 2738–2544 (1998).
    [CrossRef]

1999 (1)

A. Fahmi, I. V. Kityk, M. Lefkir, B. Sahraoui, M. Sylla, and G. Rivoire, “Two photon absorption in nitrobenzol,” J. Opt. A: Pure Appl. Opt. 1, 192–196 (1999).
[CrossRef]

1998 (1)

1997 (3)

1996 (1)

B. Sahraoui, R. Chevalier, X. Nguyen Phu, G. Rivoire, and W. Bala, “Influence of free carrier concentration on absorption and third-order susceptibilities of n-type ZnSe crystals,” J. Appl. Phys. 80, 4854–4858 (1996).
[CrossRef]

1995 (2)

A. Fahmi, J. P. Bourdin, R. Chevalier, X. Nguyen Phu, and G. Rivoire, “Influence of SWRS in χ〈3〉 measurements and wave mixing experiments in CS2,” Nonlinear Opt. 12, 165–178 (1995).

J. S. Aitchinson, J. U. Kang, and G. I. Stegeman, “Signal gain due to polarization coupling in an AlGaAs channel waveguide,” Appl. Phys. Lett. 67, 2456–2458 (1995).
[CrossRef]

1992 (2)

T. E. Dutton, P.M. Rentzepis, T. P. Shen, J. Scholl, and D. Rogovin, “Picosecond degenerate two wave mixing,” J. Opt. Soc. Am. B 9, 1843–1849 (1992).
[CrossRef]

M. Sylla, D. Rouede, R. Chevalier, X. Nguyen Phu, and G. Rivoire, “Picosecond nonlinear absorption and phase conjugation in BSO and BGO crystals,” Opt. Commun. 90, 391–398 (1992).
[CrossRef]

1990 (3)

1984 (1)

N. Phu Xuan, J. L. Ferrrier, J. Gazengel, and G. Rivoire, “Picosecond measurements of the third-order susceptibility tensor in liquids,” Opt. Commun. 5, 433–437 (1984).
[CrossRef]

1969 (2)

R. Y. Chiao and J. Godine, “Polarization dependence of stimulated Rayleigh wing scattering and the optical frequency Kerr effect,” Phys. Rev. 185, 430–445 (1969).
[CrossRef]

M. Paillette, “Recherche expérimentale sur les effets Kerr induits par une onde lumineuse,” Ann. Phys. (Leipzig) T4, 671–712 (1969).

Aitchinson, J. S.

J. S. Aitchinson, J. U. Kang, and G. I. Stegeman, “Signal gain due to polarization coupling in an AlGaAs channel waveguide,” Appl. Phys. Lett. 67, 2456–2458 (1995).
[CrossRef]

Bala, W.

B. Sahraoui, R. Chevalier, X. Nguyen Phu, G. Rivoire, and W. Bala, “Influence of free carrier concentration on absorption and third-order susceptibilities of n-type ZnSe crystals,” J. Appl. Phys. 80, 4854–4858 (1996).
[CrossRef]

Barillé, R.

Bloembergen, N.

A. Dogariu, T. Xiao, D. J. Hagan, A. A. Said, E. W. Van Stryland, and N. Bloembergen, “Purely refractive transient energy transfer by stimulated Rayleigh-wing scattering,” J. Opt. Soc. Am. B 44, 796–802 (1997).
[CrossRef]

Bourdin, J. P.

A. Fahmi, J. P. Bourdin, R. Chevalier, X. Nguyen Phu, and G. Rivoire, “Influence of SWRS in χ〈3〉 measurements and wave mixing experiments in CS2,” Nonlinear Opt. 12, 165–178 (1995).

Chevalier, R.

B. Sahraoui, R. Chevalier, X. Nguyen Phu, G. Rivoire, and W. Bala, “Influence of free carrier concentration on absorption and third-order susceptibilities of n-type ZnSe crystals,” J. Appl. Phys. 80, 4854–4858 (1996).
[CrossRef]

A. Fahmi, J. P. Bourdin, R. Chevalier, X. Nguyen Phu, and G. Rivoire, “Influence of SWRS in χ〈3〉 measurements and wave mixing experiments in CS2,” Nonlinear Opt. 12, 165–178 (1995).

M. Sylla, D. Rouede, R. Chevalier, X. Nguyen Phu, and G. Rivoire, “Picosecond nonlinear absorption and phase conjugation in BSO and BGO crystals,” Opt. Commun. 90, 391–398 (1992).
[CrossRef]

Chiao, R. Y.

R. Y. Chiao and J. Godine, “Polarization dependence of stimulated Rayleigh wing scattering and the optical frequency Kerr effect,” Phys. Rev. 185, 430–445 (1969).
[CrossRef]

Dogariu, A.

A. Dogariu, T. Xiao, D. J. Hagan, A. A. Said, E. W. Van Stryland, and N. Bloembergen, “Purely refractive transient energy transfer by stimulated Rayleigh-wing scattering,” J. Opt. Soc. Am. B 44, 796–802 (1997).
[CrossRef]

Dutton, T.

Dutton, T. E.

Fahmi, A.

A. Fahmi, I. V. Kityk, M. Lefkir, B. Sahraoui, M. Sylla, and G. Rivoire, “Two photon absorption in nitrobenzol,” J. Opt. A: Pure Appl. Opt. 1, 192–196 (1999).
[CrossRef]

A. Fahmi, J. P. Bourdin, R. Chevalier, X. Nguyen Phu, and G. Rivoire, “Influence of SWRS in χ〈3〉 measurements and wave mixing experiments in CS2,” Nonlinear Opt. 12, 165–178 (1995).

Ferrrier, J. L.

N. Phu Xuan, J. L. Ferrrier, J. Gazengel, and G. Rivoire, “Picosecond measurements of the third-order susceptibility tensor in liquids,” Opt. Commun. 5, 433–437 (1984).
[CrossRef]

Gazengel, J.

N. Phu Xuan, J. L. Ferrrier, J. Gazengel, and G. Rivoire, “Picosecond measurements of the third-order susceptibility tensor in liquids,” Opt. Commun. 5, 433–437 (1984).
[CrossRef]

Godine, J.

R. Y. Chiao and J. Godine, “Polarization dependence of stimulated Rayleigh wing scattering and the optical frequency Kerr effect,” Phys. Rev. 185, 430–445 (1969).
[CrossRef]

Hagan, D. J.

A. Dogariu, T. Xiao, D. J. Hagan, A. A. Said, E. W. Van Stryland, and N. Bloembergen, “Purely refractive transient energy transfer by stimulated Rayleigh-wing scattering,” J. Opt. Soc. Am. B 44, 796–802 (1997).
[CrossRef]

M. Sheik Bahae, A. A. Said, Taii-Uei Wei, D. J. Hagan, and E. W. Van Stryland, “Sensitive measurement of nonlinearities using a single beam,” IEEE J. Quantum Electron. 26, 760–769 (1990).
[CrossRef]

Hesselink, L.

Kang, J. U.

J. S. Aitchinson, J. U. Kang, and G. I. Stegeman, “Signal gain due to polarization coupling in an AlGaAs channel waveguide,” Appl. Phys. Lett. 67, 2456–2458 (1995).
[CrossRef]

Kityk, I. V.

A. Fahmi, I. V. Kityk, M. Lefkir, B. Sahraoui, M. Sylla, and G. Rivoire, “Two photon absorption in nitrobenzol,” J. Opt. A: Pure Appl. Opt. 1, 192–196 (1999).
[CrossRef]

Lefkir, M.

A. Fahmi, I. V. Kityk, M. Lefkir, B. Sahraoui, M. Sylla, and G. Rivoire, “Two photon absorption in nitrobenzol,” J. Opt. A: Pure Appl. Opt. 1, 192–196 (1999).
[CrossRef]

M. Lefkir and G. Rivoire, “Influence of transverse effects on measurement of third-order susceptibility by self-induced polarization state changes,” J. Opt. Soc. Am. B 14, 2856–2864 (1997).
[CrossRef]

Nguyen Phu, X.

B. Sahraoui, R. Chevalier, X. Nguyen Phu, G. Rivoire, and W. Bala, “Influence of free carrier concentration on absorption and third-order susceptibilities of n-type ZnSe crystals,” J. Appl. Phys. 80, 4854–4858 (1996).
[CrossRef]

A. Fahmi, J. P. Bourdin, R. Chevalier, X. Nguyen Phu, and G. Rivoire, “Influence of SWRS in χ〈3〉 measurements and wave mixing experiments in CS2,” Nonlinear Opt. 12, 165–178 (1995).

M. Sylla, D. Rouede, R. Chevalier, X. Nguyen Phu, and G. Rivoire, “Picosecond nonlinear absorption and phase conjugation in BSO and BGO crystals,” Opt. Commun. 90, 391–398 (1992).
[CrossRef]

Paillette, M.

M. Paillette, “Recherche expérimentale sur les effets Kerr induits par une onde lumineuse,” Ann. Phys. (Leipzig) T4, 671–712 (1969).

Rentzepis, P.

Rentzepis, P.M.

Rivoire, G.

A. Fahmi, I. V. Kityk, M. Lefkir, B. Sahraoui, M. Sylla, and G. Rivoire, “Two photon absorption in nitrobenzol,” J. Opt. A: Pure Appl. Opt. 1, 192–196 (1999).
[CrossRef]

D. Wang, R. Barillé, and G. Rivoire, “Influence of soliton propagation on the beam polarization dynamics in planar waveguide,” J. Opt. Soc. Am. B 15, 2738–2544 (1998).
[CrossRef]

M. Lefkir and G. Rivoire, “Influence of transverse effects on measurement of third-order susceptibility by self-induced polarization state changes,” J. Opt. Soc. Am. B 14, 2856–2864 (1997).
[CrossRef]

B. Sahraoui, R. Chevalier, X. Nguyen Phu, G. Rivoire, and W. Bala, “Influence of free carrier concentration on absorption and third-order susceptibilities of n-type ZnSe crystals,” J. Appl. Phys. 80, 4854–4858 (1996).
[CrossRef]

A. Fahmi, J. P. Bourdin, R. Chevalier, X. Nguyen Phu, and G. Rivoire, “Influence of SWRS in χ〈3〉 measurements and wave mixing experiments in CS2,” Nonlinear Opt. 12, 165–178 (1995).

M. Sylla, D. Rouede, R. Chevalier, X. Nguyen Phu, and G. Rivoire, “Picosecond nonlinear absorption and phase conjugation in BSO and BGO crystals,” Opt. Commun. 90, 391–398 (1992).
[CrossRef]

N. Phu Xuan, J. L. Ferrrier, J. Gazengel, and G. Rivoire, “Picosecond measurements of the third-order susceptibility tensor in liquids,” Opt. Commun. 5, 433–437 (1984).
[CrossRef]

Rogovin, D.

Rouede, D.

M. Sylla, D. Rouede, R. Chevalier, X. Nguyen Phu, and G. Rivoire, “Picosecond nonlinear absorption and phase conjugation in BSO and BGO crystals,” Opt. Commun. 90, 391–398 (1992).
[CrossRef]

Sahraoui, B.

A. Fahmi, I. V. Kityk, M. Lefkir, B. Sahraoui, M. Sylla, and G. Rivoire, “Two photon absorption in nitrobenzol,” J. Opt. A: Pure Appl. Opt. 1, 192–196 (1999).
[CrossRef]

B. Sahraoui, R. Chevalier, X. Nguyen Phu, G. Rivoire, and W. Bala, “Influence of free carrier concentration on absorption and third-order susceptibilities of n-type ZnSe crystals,” J. Appl. Phys. 80, 4854–4858 (1996).
[CrossRef]

Said, A. A.

A. Dogariu, T. Xiao, D. J. Hagan, A. A. Said, E. W. Van Stryland, and N. Bloembergen, “Purely refractive transient energy transfer by stimulated Rayleigh-wing scattering,” J. Opt. Soc. Am. B 44, 796–802 (1997).
[CrossRef]

M. Sheik Bahae, A. A. Said, Taii-Uei Wei, D. J. Hagan, and E. W. Van Stryland, “Sensitive measurement of nonlinearities using a single beam,” IEEE J. Quantum Electron. 26, 760–769 (1990).
[CrossRef]

Scholl, J.

Sheik Bahae, M.

M. Sheik Bahae, A. A. Said, Taii-Uei Wei, D. J. Hagan, and E. W. Van Stryland, “Sensitive measurement of nonlinearities using a single beam,” IEEE J. Quantum Electron. 26, 760–769 (1990).
[CrossRef]

Shen, T. P.

Stegeman, G. I.

J. S. Aitchinson, J. U. Kang, and G. I. Stegeman, “Signal gain due to polarization coupling in an AlGaAs channel waveguide,” Appl. Phys. Lett. 67, 2456–2458 (1995).
[CrossRef]

Sutherland, R. L.

Sylla, M.

A. Fahmi, I. V. Kityk, M. Lefkir, B. Sahraoui, M. Sylla, and G. Rivoire, “Two photon absorption in nitrobenzol,” J. Opt. A: Pure Appl. Opt. 1, 192–196 (1999).
[CrossRef]

M. Sylla, D. Rouede, R. Chevalier, X. Nguyen Phu, and G. Rivoire, “Picosecond nonlinear absorption and phase conjugation in BSO and BGO crystals,” Opt. Commun. 90, 391–398 (1992).
[CrossRef]

Tang, N.

Uhrich, C.

Van Stryland, E. W.

A. Dogariu, T. Xiao, D. J. Hagan, A. A. Said, E. W. Van Stryland, and N. Bloembergen, “Purely refractive transient energy transfer by stimulated Rayleigh-wing scattering,” J. Opt. Soc. Am. B 44, 796–802 (1997).
[CrossRef]

M. Sheik Bahae, A. A. Said, Taii-Uei Wei, D. J. Hagan, and E. W. Van Stryland, “Sensitive measurement of nonlinearities using a single beam,” IEEE J. Quantum Electron. 26, 760–769 (1990).
[CrossRef]

Wang, D.

Wei, Taii-Uei

M. Sheik Bahae, A. A. Said, Taii-Uei Wei, D. J. Hagan, and E. W. Van Stryland, “Sensitive measurement of nonlinearities using a single beam,” IEEE J. Quantum Electron. 26, 760–769 (1990).
[CrossRef]

Xiao, T.

A. Dogariu, T. Xiao, D. J. Hagan, A. A. Said, E. W. Van Stryland, and N. Bloembergen, “Purely refractive transient energy transfer by stimulated Rayleigh-wing scattering,” J. Opt. Soc. Am. B 44, 796–802 (1997).
[CrossRef]

Xuan, N. Phu

N. Phu Xuan, J. L. Ferrrier, J. Gazengel, and G. Rivoire, “Picosecond measurements of the third-order susceptibility tensor in liquids,” Opt. Commun. 5, 433–437 (1984).
[CrossRef]

Ann. Phys. (Leipzig) (1)

M. Paillette, “Recherche expérimentale sur les effets Kerr induits par une onde lumineuse,” Ann. Phys. (Leipzig) T4, 671–712 (1969).

Appl. Phys. Lett. (1)

J. S. Aitchinson, J. U. Kang, and G. I. Stegeman, “Signal gain due to polarization coupling in an AlGaAs channel waveguide,” Appl. Phys. Lett. 67, 2456–2458 (1995).
[CrossRef]

IEEE J. Quantum Electron. (1)

M. Sheik Bahae, A. A. Said, Taii-Uei Wei, D. J. Hagan, and E. W. Van Stryland, “Sensitive measurement of nonlinearities using a single beam,” IEEE J. Quantum Electron. 26, 760–769 (1990).
[CrossRef]

J. Appl. Phys. (1)

B. Sahraoui, R. Chevalier, X. Nguyen Phu, G. Rivoire, and W. Bala, “Influence of free carrier concentration on absorption and third-order susceptibilities of n-type ZnSe crystals,” J. Appl. Phys. 80, 4854–4858 (1996).
[CrossRef]

J. Opt. A: Pure Appl. Opt. (1)

A. Fahmi, I. V. Kityk, M. Lefkir, B. Sahraoui, M. Sylla, and G. Rivoire, “Two photon absorption in nitrobenzol,” J. Opt. A: Pure Appl. Opt. 1, 192–196 (1999).
[CrossRef]

J. Opt. Soc. Am. B (5)

Nonlinear Opt. (1)

A. Fahmi, J. P. Bourdin, R. Chevalier, X. Nguyen Phu, and G. Rivoire, “Influence of SWRS in χ〈3〉 measurements and wave mixing experiments in CS2,” Nonlinear Opt. 12, 165–178 (1995).

Opt. Commun. (2)

N. Phu Xuan, J. L. Ferrrier, J. Gazengel, and G. Rivoire, “Picosecond measurements of the third-order susceptibility tensor in liquids,” Opt. Commun. 5, 433–437 (1984).
[CrossRef]

M. Sylla, D. Rouede, R. Chevalier, X. Nguyen Phu, and G. Rivoire, “Picosecond nonlinear absorption and phase conjugation in BSO and BGO crystals,” Opt. Commun. 90, 391–398 (1992).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. (1)

R. Y. Chiao and J. Godine, “Polarization dependence of stimulated Rayleigh wing scattering and the optical frequency Kerr effect,” Phys. Rev. 185, 430–445 (1969).
[CrossRef]

Other (4)

R. Barillé and G. Rivoire, “Stimulated Rayleigh wing scattering,” in Scattering, (Academic, London, 2001), Chap. 2.5.2.

M. Emziane, “Changement d’état de polarization d’une onde élliptique dans les absorbants non linéaires,” DEA Rep. (University of Nantes and Angers, Angers, 1994).

R.W. Boyd, Nonlinear Optics (Academic, New York, 1992), p. 274.

W. Kaiser and M. Maier, “Stimulated scattering,” in Laser Handbook, F. T. Arecchi and E. O. Schulz-Dubois, eds. (North Holland, Amsterdam, 1972), pp. 1136–1140.

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Figures (8)

Fig. 1
Fig. 1

Experimental setup: BS, beam splitter; D, delay line; 1, pump beam; 2, probe beam; λ/2, half-wave plate; G, Glan polarizer; L, lens; NL, nonlinear medium; F, neutral-density filter; Ph, photodiode; C, boxcar connected to a computer; SP, spectrograph for backward-scattering detection.

Fig. 2
Fig. 2

(a) Pump-beam transmission T1 in the four materials studied as a function of the incident intensity I10 on the sample. The beam is linearly polarized. Tlin (indicated by arrows) is the transmission of the probe beam propagating alone in the material (or the linear transmission): (a1) CS2 (l=1cm), (a2) BGO (l=2mm),(a3) ZnSe (l=0.7 mm), (a4) C6H5NO2 (l=1cm). (b) Relative probe-transmission change δ as a function of the delay time τ between probe and pump beams at two incident intensities. Pump and probe beams have linear parallel polarizations: (b1) CS2 (l=1cm), (b2) BGO (l=2mm), (b3) ZnSe (l=0.7mm), (b4) C6H5NO2 (l=1cm).

Fig. 3
Fig. 3

Typical curves describing the three contributions to the relative transmission change δ as a function of the time delay τ between probe and pump beams in the case of a rectangular pulse shape: (a) absorption contribution δA, (b) Refractive-index contribution δR, (c) Absorption and scattering contribution δI.

Fig. 4
Fig. 4

Relative transmission change δ dependence on polarization as a function of time delay τ in CS2 (l=1cm, I10=350MW cm-2): (a) linear polarizations, (b) circular polarizations.

Fig. 5
Fig. 5

Relative transmission δ change dependence on polarization as a function of time delay τ in C6H5NO2 (l=1cm, I10=1GW cm-2): (a) linear polarizations, (b) circular polarizations.

Fig. 6
Fig. 6

Experimental values of D(τ) and S(τ) in C6H5NO2 (l=1cm, I10=600MW cm-2).

Fig. 7
Fig. 7

Experimental values of δ versus τ in C6H5NO2 (l=1cm), with opposite circular polarization for increasing values of I10.

Fig. 8
Fig. 8

Relative transmission changes δ versus delay time τ in C6H5NO2 (l=1cm, I10=1GW cm-2) in the opposite circular polarization combination case (co). Pluses denote the experimental values. The fitting curve is shown and explained in the text.

Tables (4)

Tables Icon

Table 1 Characteristic Parameters of Nonlinear Materials Tested

Tables Icon

Table 2 Amplitudes of Absorption and Refractive Index Terms A and R in ZnSe

Tables Icon

Table 3 Relative Values of R in CS2

Tables Icon

Table 4 Measured Values R, H, and A in C6H5NO2 (l=1cm, I10=1000MW cm-2) a

Equations (17)

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

dI1dz=-αI1-βI12,
T1=Tlin1+βαI10(1-Tlin).
δ=δA1+δA2+δA3+δI+δR=δA+δI+δR,
δA1=kI10 Im(χxxxx3TPA)-+|u(t-τ)|2|u(t)|2dt,
δA2=-kI10 Re-+u*(t-τ)u*(t)dt×-t Im χxxxx3other(t-t)u(t-τ)u(t)dt,
δA3=-kI10 Re-+u*(t-τ)u(t)dt×-t Im χxxxx3other(t-t)u(t-τ)u*(t)dt,
δR=-kI10 Im-+u*(t-τ)u(t)dt -tRe(χxxxx3)×(t-t)u(t-τ)u*(t)dt,
δI=-kI10-+|u(t-τ)|2dt-tIm(χxxxx3other)×(t-t)|u(t)|2dt.
k=24π2n0λI201-exp(-αl)α(inesuunits)
δA(+τ)=δA(-τ).
δR(+τ)=-δR(-τ).
u(t)=exp-tτp2(1+ib).
δRuau2+a2,
2D(τ)=δ(+τ)-δ(-τ),
2S(τ)=δ(+τ)+δ(-τ).
2D(τ)=δR(+τ)-δR(-τ)+δI(+τ)-δI(τ)=2δR(+τ)+δI(+τ)-δI(-τ),
2S(τ)=δA(+τ)+δA(-τ)+δI(+τ)δI(-τ)=2δA(+τ)+δI(+τ)+δI(-τ).

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