Abstract

Beam spot size evolution of spatially Gaussian femtosecond laser pulses after angular dispersion is analyzed and verified with experiments. A general analytical expression for beam spot size at arbitrary propagation distances is obtained, which indicates that beam spot size evolution after angular dispersion is determined by the direct interaction of spectral lateral walk-off by angular dispersion and the intrinsic divergence of the Gaussian beam. This work reveals insights into the propagation of Gaussian femtosecond laser pulses and beams after angular dispersion and may be important for the generation and application of femtosecond laser pulses.

© 2008 Optical Society of America

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References

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2007 (2)

2006 (1)

2005 (2)

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

K. Osvay, A. P. Kovacs, G. Kurdi, Z. Heiner, M. Divall, J. Klebniczki, and I. E. Ferincz, Opt. Commun. 248, 201 (2005).
[CrossRef]

2004 (1)

K. Osvay, A. P. Kovacs, Z. Heiner, G. Kurdi, J. Klebniczki, and M. Csatari, IEEE J. Sel. Top. Quantum Electron. 10, 213 (2004).
[CrossRef]

2003 (1)

V. Iyer, B. E. Losavio, and P. Saggau, J. Biomed. Opt. 8, 460 (2003).
[CrossRef] [PubMed]

2002 (2)

J. D. Lechleiter, D. T. Lin, and I. Sieneart, Biophys. J. 83, 2292 (2002).
[CrossRef] [PubMed]

K. Varjú, A. P. Kovács, K. Osvay, and G. Kurdi, Opt. Lett. 27, 2034 (2002).
[CrossRef]

2001 (1)

1993 (1)

Z. L. Horvath, Z. Benko, A. P. Kovacs, H. A. Hazim, and Z. Bor, Opt. Eng. 32, 2491 (1993).
[CrossRef]

1988 (1)

1986 (2)

1984 (1)

1969 (1)

E. B. Treacy, IEEE J. Quantum Electron. QE-5, 454 (1969).
[CrossRef]

Biophys. J. (1)

J. D. Lechleiter, D. T. Lin, and I. Sieneart, Biophys. J. 83, 2292 (2002).
[CrossRef] [PubMed]

IEEE J. Quantum Electron. (1)

E. B. Treacy, IEEE J. Quantum Electron. QE-5, 454 (1969).
[CrossRef]

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

K. Osvay, A. P. Kovacs, Z. Heiner, G. Kurdi, J. Klebniczki, and M. Csatari, IEEE J. Sel. Top. Quantum Electron. 10, 213 (2004).
[CrossRef]

J. Biomed. Opt. (1)

V. Iyer, B. E. Losavio, and P. Saggau, J. Biomed. Opt. 8, 460 (2003).
[CrossRef] [PubMed]

J. Opt. Soc. Am. B (2)

Opt. Commun. (2)

O. E. Martinez, Opt. Commun. 59, 229 (1986).
[CrossRef]

K. Osvay, A. P. Kovacs, G. Kurdi, Z. Heiner, M. Divall, J. Klebniczki, and I. E. Ferincz, Opt. Commun. 248, 201 (2005).
[CrossRef]

Opt. Eng. (1)

Z. L. Horvath, Z. Benko, A. P. Kovacs, H. A. Hazim, and Z. Bor, Opt. Eng. 32, 2491 (1993).
[CrossRef]

Opt. Express (3)

Opt. Lett. (4)

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Figures (2)

Fig. 1
Fig. 1

Beam spot size evolution of a Gaussian pulse and beam after passing an angular component.

Fig. 2
Fig. 2

Beam spot size as a function of propagation distance at different AOD active frequencies (cal, theoretical values calculated by Eq. (2); mea, measured by experiments).

Equations (6)

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A ( x , z , ω ) = b E ( ω ) exp ( i k x 2 2 z ) exp [ i k z q ( d ) 2 q ( d + α 2 z ) ( x 2 z 2 + β 2 ω 2 + 2 x β ω z ) ] ,
w = w 0 { ( 1 + U ) α 2 [ 1 + ( d + α 2 z ) 2 z R 2 ] } 1 2 ,
U = 2 ln 2 z R 2 ( d + α 2 z ) 2 + z R 2 ( 2 α β z w 0 τ 0 ) 2
w w 0 = [ 1 + ( d + z ) 2 z R 2 ] 1 2 .
w w 0 = [ ( 1 + U ) α 2 ] 1 2 .
θ = lim z w ( z ) z = α 1 + U θ ,

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