Abstract

Combined spatially resolved collinear autocorrelation and Shack–Hartmann wave-front sensing of femtosecond laser pulses is demonstrated for the first time to our knowledge. The beam is divided into multiple nondiffracting subbeams by thin-film micro-optical arrays. With hybrid refractive–reflective silica/silver microaxicons, wave-front autocorrelation is performed in oblique-angle reflection. Simultaneous two-dimensional detection of local temporal structure and wave-front tilt of propagating few-cycle wave packets is demonstrated.

© 2003 Optical Society of America

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2003

2002

2001

2000

1999

C. Iaconis and I. A. Walmsley, IEEE J. Quantum Electron. 35, 501 (1999).
[CrossRef]

1998

R. Grunwald, S. Woggon, U. Griebner, R. Ehlert, and W. Reinecke, Jpn. J. Appl. Phys. 37, 3701 (1998).
[CrossRef]

1997

R. Grunwald, S. Woggon, R. Ehlert, and W. Reinecke, Pure Appl. Opt. 6, 663 (1997).
[CrossRef]

P. Saari and K. Reivelt, Phys. Rev. Lett. 79, 4135 (1997).
[CrossRef]

Akturk, S.

Chávez-Cerda, S.

Clement, T. S.

S. A. Diddams, H. K. Eaton, A. A. Zozulya, and T. S. Clement, in Conference on Lasers and Electro-Optics (CLEO/U.S.), Vol. 6 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), p. 519.

Diddams, S. A.

S. A. Diddams, H. K. Eaton, A. A. Zozulya, and T. S. Clement, in Conference on Lasers and Electro-Optics (CLEO/U.S.), Vol. 6 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), p. 519.

Diels, J.-C.

J.-C. Diels and W. Rudolph, Ultrashort Laser Pulse Phenomena (Academic, San Diego, Calif., 1995), p. 365.

Dorrer, C.

Eaton, H. K.

S. A. Diddams, H. K. Eaton, A. A. Zozulya, and T. S. Clement, in Conference on Lasers and Electro-Optics (CLEO/U.S.), Vol. 6 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), p. 519.

Ehlert, R.

R. Grunwald, S. Woggon, U. Griebner, R. Ehlert, and W. Reinecke, Jpn. J. Appl. Phys. 37, 3701 (1998).
[CrossRef]

R. Grunwald, S. Woggon, R. Ehlert, and W. Reinecke, Pure Appl. Opt. 6, 663 (1997).
[CrossRef]

Elsaesser, T.

R. Grunwald, U. Griebner, E. T. J. Nibbering, A. Kummrow, M. Rini, T. Elsaesser, V. Kebbel, H.-J. Hartmann, and W. Jüptner, J. Opt. Soc. Am. A 18, 2923 (2001).
[CrossRef]

R. Grunwald, U. Griebner, F. Tschirschwitz, E. T. J. Nibbering, T. Elsaesser, V. Kebbel, H.-J. Hartmann, and W. Jüptner, Opt. Lett. 25, 981 (2000).
[CrossRef]

R. Grunwald, U. Griebner, T. Elsaesser, V. Kebbel, H.-J. Hartmann, and W. Jüptner, in Fringe 2001: The 4th International Workshop on Automatic Processing of Fringe Patterns, W. Osten and W. Jüptner, eds. (Elsevier, Paris, 2001), p. 33.

Fortin, M.

R. Grunwald, V. Kebbel, U. Griebner, U. Neumann, A. Kummrow, M. Rini, E. T. J. Nibbering, M. Piché, G. Rousseau, and M. Fortin, Phys. Rev. A 67, 063820 (2003).
[CrossRef]

Friberg, A. T.

Gallmann, L.

Geary, J. M.

J. M. Geary, Introduction to Wavefront Sensors (SPIE, Bellingham, Wash., 1995).
[CrossRef]

Griebner, U.

R. Grunwald, V. Kebbel, U. Griebner, U. Neumann, A. Kummrow, M. Rini, E. T. J. Nibbering, M. Piché, G. Rousseau, and M. Fortin, Phys. Rev. A 67, 063820 (2003).
[CrossRef]

R. Grunwald, U. Griebner, E. T. J. Nibbering, A. Kummrow, M. Rini, T. Elsaesser, V. Kebbel, H.-J. Hartmann, and W. Jüptner, J. Opt. Soc. Am. A 18, 2923 (2001).
[CrossRef]

R. Grunwald, U. Griebner, F. Tschirschwitz, E. T. J. Nibbering, T. Elsaesser, V. Kebbel, H.-J. Hartmann, and W. Jüptner, Opt. Lett. 25, 981 (2000).
[CrossRef]

R. Grunwald, S. Woggon, U. Griebner, R. Ehlert, and W. Reinecke, Jpn. J. Appl. Phys. 37, 3701 (1998).
[CrossRef]

R. Grunwald, U. Griebner, T. Elsaesser, V. Kebbel, H.-J. Hartmann, and W. Jüptner, in Fringe 2001: The 4th International Workshop on Automatic Processing of Fringe Patterns, W. Osten and W. Jüptner, eds. (Elsevier, Paris, 2001), p. 33.

Grunwald, R.

R. Grunwald, V. Kebbel, U. Griebner, U. Neumann, A. Kummrow, M. Rini, E. T. J. Nibbering, M. Piché, G. Rousseau, and M. Fortin, Phys. Rev. A 67, 063820 (2003).
[CrossRef]

R. Grunwald, U. Griebner, E. T. J. Nibbering, A. Kummrow, M. Rini, T. Elsaesser, V. Kebbel, H.-J. Hartmann, and W. Jüptner, J. Opt. Soc. Am. A 18, 2923 (2001).
[CrossRef]

R. Grunwald, U. Griebner, F. Tschirschwitz, E. T. J. Nibbering, T. Elsaesser, V. Kebbel, H.-J. Hartmann, and W. Jüptner, Opt. Lett. 25, 981 (2000).
[CrossRef]

R. Grunwald, S. Woggon, U. Griebner, R. Ehlert, and W. Reinecke, Jpn. J. Appl. Phys. 37, 3701 (1998).
[CrossRef]

R. Grunwald, S. Woggon, R. Ehlert, and W. Reinecke, Pure Appl. Opt. 6, 663 (1997).
[CrossRef]

R. Grunwald, U. Griebner, T. Elsaesser, V. Kebbel, H.-J. Hartmann, and W. Jüptner, in Fringe 2001: The 4th International Workshop on Automatic Processing of Fringe Patterns, W. Osten and W. Jüptner, eds. (Elsevier, Paris, 2001), p. 33.

Gutiérrez-Vega, J. C.

Harasaki, A.

Hartmann, H.-J.

R. Grunwald, U. Griebner, E. T. J. Nibbering, A. Kummrow, M. Rini, T. Elsaesser, V. Kebbel, H.-J. Hartmann, and W. Jüptner, J. Opt. Soc. Am. A 18, 2923 (2001).
[CrossRef]

R. Grunwald, U. Griebner, F. Tschirschwitz, E. T. J. Nibbering, T. Elsaesser, V. Kebbel, H.-J. Hartmann, and W. Jüptner, Opt. Lett. 25, 981 (2000).
[CrossRef]

R. Grunwald, U. Griebner, T. Elsaesser, V. Kebbel, H.-J. Hartmann, and W. Jüptner, in Fringe 2001: The 4th International Workshop on Automatic Processing of Fringe Patterns, W. Osten and W. Jüptner, eds. (Elsevier, Paris, 2001), p. 33.

Iaconis, C.

Iturbe-Castillo, M. D.

Jaroszewicz, Z.

Jüptner, W.

R. Grunwald, U. Griebner, E. T. J. Nibbering, A. Kummrow, M. Rini, T. Elsaesser, V. Kebbel, H.-J. Hartmann, and W. Jüptner, J. Opt. Soc. Am. A 18, 2923 (2001).
[CrossRef]

R. Grunwald, U. Griebner, F. Tschirschwitz, E. T. J. Nibbering, T. Elsaesser, V. Kebbel, H.-J. Hartmann, and W. Jüptner, Opt. Lett. 25, 981 (2000).
[CrossRef]

R. Grunwald, U. Griebner, T. Elsaesser, V. Kebbel, H.-J. Hartmann, and W. Jüptner, in Fringe 2001: The 4th International Workshop on Automatic Processing of Fringe Patterns, W. Osten and W. Jüptner, eds. (Elsevier, Paris, 2001), p. 33.

Kebbel, V.

R. Grunwald, V. Kebbel, U. Griebner, U. Neumann, A. Kummrow, M. Rini, E. T. J. Nibbering, M. Piché, G. Rousseau, and M. Fortin, Phys. Rev. A 67, 063820 (2003).
[CrossRef]

R. Grunwald, U. Griebner, E. T. J. Nibbering, A. Kummrow, M. Rini, T. Elsaesser, V. Kebbel, H.-J. Hartmann, and W. Jüptner, J. Opt. Soc. Am. A 18, 2923 (2001).
[CrossRef]

R. Grunwald, U. Griebner, F. Tschirschwitz, E. T. J. Nibbering, T. Elsaesser, V. Kebbel, H.-J. Hartmann, and W. Jüptner, Opt. Lett. 25, 981 (2000).
[CrossRef]

R. Grunwald, U. Griebner, T. Elsaesser, V. Kebbel, H.-J. Hartmann, and W. Jüptner, in Fringe 2001: The 4th International Workshop on Automatic Processing of Fringe Patterns, W. Osten and W. Jüptner, eds. (Elsevier, Paris, 2001), p. 33.

Keller, U.

Kimmel, M.

Kosik, E. M.

Kummrow, A.

R. Grunwald, V. Kebbel, U. Griebner, U. Neumann, A. Kummrow, M. Rini, E. T. J. Nibbering, M. Piché, G. Rousseau, and M. Fortin, Phys. Rev. A 67, 063820 (2003).
[CrossRef]

R. Grunwald, U. Griebner, E. T. J. Nibbering, A. Kummrow, M. Rini, T. Elsaesser, V. Kebbel, H.-J. Hartmann, and W. Jüptner, J. Opt. Soc. Am. A 18, 2923 (2001).
[CrossRef]

Neumann, U.

R. Grunwald, V. Kebbel, U. Griebner, U. Neumann, A. Kummrow, M. Rini, E. T. J. Nibbering, M. Piché, G. Rousseau, and M. Fortin, Phys. Rev. A 67, 063820 (2003).
[CrossRef]

Nibbering, E. T. J.

O'Shea, P.

Piché, M.

R. Grunwald, V. Kebbel, U. Griebner, U. Neumann, A. Kummrow, M. Rini, E. T. J. Nibbering, M. Piché, G. Rousseau, and M. Fortin, Phys. Rev. A 67, 063820 (2003).
[CrossRef]

Reinecke, W.

R. Grunwald, S. Woggon, U. Griebner, R. Ehlert, and W. Reinecke, Jpn. J. Appl. Phys. 37, 3701 (1998).
[CrossRef]

R. Grunwald, S. Woggon, R. Ehlert, and W. Reinecke, Pure Appl. Opt. 6, 663 (1997).
[CrossRef]

Reivelt, K.

P. Saari and K. Reivelt, Phys. Rev. Lett. 79, 4135 (1997).
[CrossRef]

Rini, M.

R. Grunwald, V. Kebbel, U. Griebner, U. Neumann, A. Kummrow, M. Rini, E. T. J. Nibbering, M. Piché, G. Rousseau, and M. Fortin, Phys. Rev. A 67, 063820 (2003).
[CrossRef]

R. Grunwald, U. Griebner, E. T. J. Nibbering, A. Kummrow, M. Rini, T. Elsaesser, V. Kebbel, H.-J. Hartmann, and W. Jüptner, J. Opt. Soc. Am. A 18, 2923 (2001).
[CrossRef]

Rousseau, G.

R. Grunwald, V. Kebbel, U. Griebner, U. Neumann, A. Kummrow, M. Rini, E. T. J. Nibbering, M. Piché, G. Rousseau, and M. Fortin, Phys. Rev. A 67, 063820 (2003).
[CrossRef]

Rudolph, W.

J.-C. Diels and W. Rudolph, Ultrashort Laser Pulse Phenomena (Academic, San Diego, Calif., 1995), p. 365.

Rupp, T.

Saari, P.

P. Saari and K. Reivelt, Phys. Rev. Lett. 79, 4135 (1997).
[CrossRef]

Schmit, J.

Steinmeyer, G.

Sutter, D. H.

Thaning, A.

Trebino, R.

Tschirschwitz, F.

Walmsley, I. A.

Woggon, S.

R. Grunwald, S. Woggon, U. Griebner, R. Ehlert, and W. Reinecke, Jpn. J. Appl. Phys. 37, 3701 (1998).
[CrossRef]

R. Grunwald, S. Woggon, R. Ehlert, and W. Reinecke, Pure Appl. Opt. 6, 663 (1997).
[CrossRef]

Wyant, J. C.

Zozulya, A. A.

S. A. Diddams, H. K. Eaton, A. A. Zozulya, and T. S. Clement, in Conference on Lasers and Electro-Optics (CLEO/U.S.), Vol. 6 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), p. 519.

1998 OSA Technical Digest Series

S. A. Diddams, H. K. Eaton, A. A. Zozulya, and T. S. Clement, in Conference on Lasers and Electro-Optics (CLEO/U.S.), Vol. 6 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), p. 519.

Appl. Opt.

IEEE J. Quantum Electron.

C. Iaconis and I. A. Walmsley, IEEE J. Quantum Electron. 35, 501 (1999).
[CrossRef]

J. Opt. Soc. Am. A

Jpn. J. Appl. Phys.

R. Grunwald, S. Woggon, U. Griebner, R. Ehlert, and W. Reinecke, Jpn. J. Appl. Phys. 37, 3701 (1998).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev. A

R. Grunwald, V. Kebbel, U. Griebner, U. Neumann, A. Kummrow, M. Rini, E. T. J. Nibbering, M. Piché, G. Rousseau, and M. Fortin, Phys. Rev. A 67, 063820 (2003).
[CrossRef]

Phys. Rev. Lett.

P. Saari and K. Reivelt, Phys. Rev. Lett. 79, 4135 (1997).
[CrossRef]

Pure Appl. Opt.

R. Grunwald, S. Woggon, R. Ehlert, and W. Reinecke, Pure Appl. Opt. 6, 663 (1997).
[CrossRef]

Other

J.-C. Diels and W. Rudolph, Ultrashort Laser Pulse Phenomena (Academic, San Diego, Calif., 1995), p. 365.

R. Grunwald, U. Griebner, T. Elsaesser, V. Kebbel, H.-J. Hartmann, and W. Jüptner, in Fringe 2001: The 4th International Workshop on Automatic Processing of Fringe Patterns, W. Osten and W. Jüptner, eds. (Elsevier, Paris, 2001), p. 33.

R. Trebino, ed., Frequency-Resolved Optical Gating: The Measurement of Ultrashort Laser Pulses (Kluwer Academic, Boston, Mass., 2002), pp. 33–35.

J. M. Geary, Introduction to Wavefront Sensors (SPIE, Bellingham, Wash., 1995).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

(a) Setup for ultrashort-pulse wave-front autocorrelation. W, wave packet; BS, beam splitter; W1, W2, partial beams with phase offset; PZT, piezotranslator; M1M3, mirrors; MA, microaxicon array; BA, beam array; IP, imaged plane; IS, imaging system; F, filters; CCD, camera; z, working distance; Rx, wave-front curvature; Δxi, Δxj, vertical displacements. (b) Microscopic view of the microaxicon array (refractive–reflective structure, Gaussian-shaped silica elements on silver, period of 405 µm, structure height of 0.5 µm). (c) Working principle of the single element in (b) (incident angle α).

Fig. 2
Fig. 2

Nondiffracting beams generated with the refractive–reflective microaxicon array of Fig. 1 and amplified 25-fs pulses. (a) Rotational-symmetric Bessel-like beams at α=14° incidence, fundamental wavelength (z=10 mm). (b) Asymmetric beams at α=25°, SHG (z=1.4 cm), with a field of view for both of 1.41 mm×1.41 mm.

Fig. 3
Fig. 3

Intensity plot of second-order collinear wave-front autocorrelation of a wave packet generated by an amplified Ti:sapphire laser (a) without and (b) with additional curvature introduced by a plano–convex glass lens of 2-mm thickness, f=50 cm, distance from lens to hybrid array of 118 mm, incidence angle α=25°. The temporal resolution was 0.34 fs. (c) Autocorrelation of subbeams in (a). Zero signal coincides with minimum (upshifted for graphic reasons and does not represent a background level).

Fig. 4
Fig. 4

Spatiotemporal structures of microscopic nondiffractive Bessel-like beams (X pulses) generated by spectral interference of conical broadband wave packets (a) with a single transmissive element (first order) and (b) with the reflective–refractive array (second order, α=25°, normalized for each transversal position), detected by collinear wave-front autocorrelation.

Equations (2)

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

Rx=zpΔxi-Δxj,
G2xi,τ=-Exi,t-τ+Exi,t22dt,

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