Abstract

We report on the time dependences of the Fresnel diffraction of ultrashort laser pulses by a circular aperture. The diffraction leads to a pulse delay, time shape change, pulse broadening, and peak power decrease. These effects may have to be taken into account whenever critical thresholds are encountered as, for example, in nonlinear optics or laser fusion.

© 1997 Optical Society of America

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References

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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
  6. M. Gu, “Confocal imaging of thin and line objects under ultrashort laser-pulse illumination,” Optik 101, 118–122 (1996).
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  10. M. Gu, X. S. Gan, “Fresnel diffraction by circular and serrated apertures illuminated with an ultrashort pulsed-laser beams,” J. Opt. Soc. Am. A 13, 771–778 (1996).
    [CrossRef]
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    [CrossRef]

1996 (4)

M. Gu, “Confocal imaging of thin and line objects under ultrashort laser-pulse illumination,” Optik 101, 118–122 (1996).

Z. Wang, Z. Zhang, Z. Xu, Q. Lin, “Spectral and temporal properties of ultrashort light pulse in the far zone,” Opt. Commun. 123, 5–10 (1996).
[CrossRef]

M. Gu, X. S. Gan, “Effect of an ultrashort pulse on Fresnel diffraction by a circular opaque disk,” Opt. Commun. 125, 1–4 (1996).
[CrossRef]

M. Gu, X. S. Gan, “Fresnel diffraction by circular and serrated apertures illuminated with an ultrashort pulsed-laser beams,” J. Opt. Soc. Am. A 13, 771–778 (1996).
[CrossRef]

1994 (4)

1993 (1)

1992 (1)

1985 (1)

Cooper, J.

deBoeij, W. P.

Gan, X. S.

M. Gu, X. S. Gan, “Fresnel diffraction by circular and serrated apertures illuminated with an ultrashort pulsed-laser beams,” J. Opt. Soc. Am. A 13, 771–778 (1996).
[CrossRef]

M. Gu, X. S. Gan, “Effect of an ultrashort pulse on Fresnel diffraction by a circular opaque disk,” Opt. Commun. 125, 1–4 (1996).
[CrossRef]

Gu, M.

M. Gu, X. S. Gan, “Effect of an ultrashort pulse on Fresnel diffraction by a circular opaque disk,” Opt. Commun. 125, 1–4 (1996).
[CrossRef]

M. Gu, “Confocal imaging of thin and line objects under ultrashort laser-pulse illumination,” Optik 101, 118–122 (1996).

M. Gu, X. S. Gan, “Fresnel diffraction by circular and serrated apertures illuminated with an ultrashort pulsed-laser beams,” J. Opt. Soc. Am. A 13, 771–778 (1996).
[CrossRef]

Hännien, P. E.

S. W. Hell, P. E. Hännien, J. Salo, A. Kuusisto, E. Soini, T. Wilson, J. B. Tan, “Pulsed and cw confocal microscopy: a comparison of resolution and contrast,” Opt. Commun. 113, 144–152 (1994).
[CrossRef]

Hell, S. W.

S. W. Hell, P. E. Hännien, J. Salo, A. Kuusisto, E. Soini, T. Wilson, J. B. Tan, “Pulsed and cw confocal microscopy: a comparison of resolution and contrast,” Opt. Commun. 113, 144–152 (1994).
[CrossRef]

Huang, C.

Judkins, J. B.

Kapteyn, H. C.

Kempe, M.

Krausz, F.

Kuusisto, A.

S. W. Hell, P. E. Hännien, J. Salo, A. Kuusisto, E. Soini, T. Wilson, J. B. Tan, “Pulsed and cw confocal microscopy: a comparison of resolution and contrast,” Opt. Commun. 113, 144–152 (1994).
[CrossRef]

Lin, Q.

Z. Wang, Z. Zhang, Z. Xu, Q. Lin, “Spectral and temporal properties of ultrashort light pulse in the far zone,” Opt. Commun. 123, 5–10 (1996).
[CrossRef]

Marx, E.

Murnane, M. M.

Pshenichnikov, M. S.

Rudolph, W.

Salo, J.

S. W. Hell, P. E. Hännien, J. Salo, A. Kuusisto, E. Soini, T. Wilson, J. B. Tan, “Pulsed and cw confocal microscopy: a comparison of resolution and contrast,” Opt. Commun. 113, 144–152 (1994).
[CrossRef]

Soini, E.

S. W. Hell, P. E. Hännien, J. Salo, A. Kuusisto, E. Soini, T. Wilson, J. B. Tan, “Pulsed and cw confocal microscopy: a comparison of resolution and contrast,” Opt. Commun. 113, 144–152 (1994).
[CrossRef]

Spielman, G.

Stingl, A.

Taft, G.

Tan, J. B.

S. W. Hell, P. E. Hännien, J. Salo, A. Kuusisto, E. Soini, T. Wilson, J. B. Tan, “Pulsed and cw confocal microscopy: a comparison of resolution and contrast,” Opt. Commun. 113, 144–152 (1994).
[CrossRef]

Wang, Z.

Z. Wang, Z. Zhang, Z. Xu, Q. Lin, “Spectral and temporal properties of ultrashort light pulse in the far zone,” Opt. Commun. 123, 5–10 (1996).
[CrossRef]

Wiersma, D. A.

Wilson, T.

S. W. Hell, P. E. Hännien, J. Salo, A. Kuusisto, E. Soini, T. Wilson, J. B. Tan, “Pulsed and cw confocal microscopy: a comparison of resolution and contrast,” Opt. Commun. 113, 144–152 (1994).
[CrossRef]

Xu, Z.

Z. Wang, Z. Zhang, Z. Xu, Q. Lin, “Spectral and temporal properties of ultrashort light pulse in the far zone,” Opt. Commun. 123, 5–10 (1996).
[CrossRef]

Zhang, Z.

Z. Wang, Z. Zhang, Z. Xu, Q. Lin, “Spectral and temporal properties of ultrashort light pulse in the far zone,” Opt. Commun. 123, 5–10 (1996).
[CrossRef]

Zhou, J.

Ziolkowski, R. W.

J. Opt. Soc. Am. A (4)

Opt. Commun. (3)

M. Gu, X. S. Gan, “Effect of an ultrashort pulse on Fresnel diffraction by a circular opaque disk,” Opt. Commun. 125, 1–4 (1996).
[CrossRef]

Z. Wang, Z. Zhang, Z. Xu, Q. Lin, “Spectral and temporal properties of ultrashort light pulse in the far zone,” Opt. Commun. 123, 5–10 (1996).
[CrossRef]

S. W. Hell, P. E. Hännien, J. Salo, A. Kuusisto, E. Soini, T. Wilson, J. B. Tan, “Pulsed and cw confocal microscopy: a comparison of resolution and contrast,” Opt. Commun. 113, 144–152 (1994).
[CrossRef]

Opt. Lett. (3)

Optik (1)

M. Gu, “Confocal imaging of thin and line objects under ultrashort laser-pulse illumination,” Optik 101, 118–122 (1996).

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Figures (4)

Fig. 1
Fig. 1

Geometric configuration: D, distance between (r, θ) and (ρ, φ); L, distance between the aperture and the observation planes.

Fig. 2
Fig. 2

On-axis time dependence of intensity: τ = 10 fs, β = 0.0, λ = 0.8 µm. (a) N = 40, (b) N = 20, (c) N = 5. Solid curve, actual intensity; dashed curve, STSU intensity.

Fig. 3
Fig. 3

On-axis time dependence of intensity: N = 40, τ = 10 fs, λ = 0.8 µm. (a) β = 1.0, (b) β = 1.5. Solid curve, actual intensity; dashed curve, STSU intensity.

Fig. 4
Fig. 4

On-axis time dependence of intensity: N = 40, β = 0.0, τ = 50 fs, λ = 0.8 µm. Solid curve, actual intensity; dashed curve, STSU intensity.

Equations (12)

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D=L2+r2+ρ2-2rρ cosθ-φ1/2L+12L r2+ρ2-2rρ cosθ-φ
Uρ, φ, t=1iλ 02π0a Er, θ, t-Dc 1D rdrdθ,
Er, t=exp-iωt-t2T2-r2w2,
T=τ2ln 21/2.
Uρ, φ, t=1iλ 02π0a exp-iωt-D/c-t-D/c2T2-r2w2 1D rdrdθ.
U0, t=kiL 0a exp-iωt-r22cL-t-r2/2cL2T2-r2w2rdr,
N=πa2λL,
U0, t=-i2N 01 exp-iωt-Nr2-t-r2N/ω2T2-r2β2rdr,
β=a/w,
I0, t=U0, t2=4N201 exp-iωt-Nr2-t-r2N/ω2T2-r2β2rdr2.
ΔTmax=a22cL=Nω.
αΔTmaxτ.

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