Abstract

We have theoretically and experimentally studied the local temporal and spectral characteristics of an ultrashort pulse passing a simple thin diffusive element. We show that as one moves away from the diffuser the pulse evolves into a spatiotemporal speckle.

© 2006 Optical Society of America

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References

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2005 (2)

S. Akturk, X. Gu, P. Gabole, and R. Trebino, Opt. Express 13, 8642 (2005).
[CrossRef] [PubMed]

D. Oron, E. Tal, and Y. Silberberg, Opt. Express 13, 1469 (2005).

2003 (1)

1995 (2)

1993 (1)

1989 (1)

Yu. T. Mazurenko, Opt. Spectrosc. (USSR) 66, 227 (1989).

1987 (1)

O. E. Martinez, IEEE J. Quantum Electron. 23, 59 (1987).
[CrossRef]

1984 (1)

Akturk, S.

Alfano, R. R.

Barry, N. P.

Bruce, N. C.

Dainty, J. C.

Fork, R. L.

French, P. M. W.

Gabole, P.

Gordon, J. P.

Gu, X.

Hyde, S. C. W.

Liu, F.

Martinez, O. E.

Matsumoto, T.

Mazurenko, Yu. T.

Yu. T. Mazurenko, Opt. Spectrosc. (USSR) 66, 227 (1989).

Morita, R.

Oke, K.

Oron, D.

D. Oron, E. Tal, and Y. Silberberg, Opt. Express 13, 1469 (2005).

Schmidt, F. E. W.

Silberberg, Y.

D. Oron, E. Tal, and Y. Silberberg, Opt. Express 13, 1469 (2005).

Tal, E.

D. Oron, E. Tal, and Y. Silberberg, Opt. Express 13, 1469 (2005).

Tomita, M.

Trebino, R.

Yamane, K.

Yamashita, M.

Yoo, K. M.

Zhang, Z.

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Figures (3)

Fig. 1
Fig. 1

(a) Experimental setup: the field at different locations on the optical axis near the diffuser is imaged onto the SHG crystal via an objective lens and a 100 mm lens. A probe beam with controllable delay samples the image of point P both spatially and temporally. BS, beam splitter; PMT, photomultiplier tube. (b) Geometrical optics description of pulse lengthening: light emanating from Q arrives at P before light emanating from R. Therefore point P experiences extended illumination.

Fig. 2
Fig. 2

Cross-correlation data taken at different locations on the optical axis. The horizontal axis is given in femtoseconds. z is the distance between the focus of the objective lens and the diffuser. Positive z values indicate a larger distance between the objective lens and the diffuser. For the six bottom traces (positive z values), the dotted curves show the theoretical ensemble average calculated using the paraxial geometrical optics model (see text).

Fig. 3
Fig. 3

Spectral data taken at different locations on the optical axis. The correlation between adjacent spectral components decreases as we image points further from the diffuser plane. The horizontal axis is the wavelength in nanometers.

Equations (4)

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I ( z , t ) = 0 z tan ϕ I ( t z 2 + ρ 2 c ) z 2 + ρ 2 2 π ρ d ρ ,
h ( t ) { 1 t z c t z c cos ϕ 0 otherwise } .
I parax ( z , t ) = 0 I [ t z c ( 1 + ρ 2 2 z 2 ) ] exp [ 2 ρ 2 w ( z ) 2 ] w ( z ) 2 2 π w 0 2 ρ d ρ ,
h parax ( t ) { z c w ( z ) 2 exp [ 4 z 2 ( t c z 1 ) w ( z ) 2 ] t > z c 0 otherwise } .

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