Ultrafast phase and amplitude pulse shaping with a single, one-dimensional, high-resolution phase mask.

Jesse W. Wilson; Philip Schlup; Randy A. Bartels

doi:10.1364/OE.15.008979

Ultrafast phase and amplitude pulse shaping with a single, one-dimensional, high-resolution phase mask.

Jesse W. Wilson, Philip Schlup, and Randy A. Bartels

Optics Express
Vol. 15,
Issue 14,
pp. 8979-8987
(2007)
•https://doi.org/10.1364/OE.15.008979

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Jesse W. Wilson, Philip Schlup, and Randy A. Bartels, "Ultrafast phase and amplitude pulse shaping with a single, one-dimensional, high-resolution phase mask.," Opt. Express 15, 8979-8987 (2007)

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Related Topics
Table of Contents Category
- Ultrafast Optics
Optics & Photonics Topics
?

The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Liquid-crystal devices (230.3720)
- Spatial light modulators (230.6120)
- Pulse shaping (320.5540)

About this Article
History
- Original Manuscript: May 20, 2007
- Revised Manuscript: June 28, 2007
- Manuscript Accepted: June 29, 2007
- Published: July 5, 2007

Accessible

Open Access

Abstract

An ultrafast pulse shaper, capable of both phase and amplitude shaping, is constructed using a single high-resolution liquid crystal phase mask. The shaper is calibrated with an inline spectral interferometry technique. Amplitude shaping is accomplished by writing to the mask a phase grating, whose period is smaller than the spectral focus, diffracting away selected frequencies in a controllable manner.

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References

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|
Year
|
Author
|
Publication

A. M. Weiner, “Femtosecond pulse shaping using spatial light modulators,” Rev. Sci. Instrum. 71, 1929–1960 (2000).
[Crossref]
R. Bartels, S. Backus, E. Zeek, L. Misoguti, G. Vdovin, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, “Shaped-pulse optimization of coherent emission of high-harmonic soft X-rays,” Nature (London) 406, 164–166 (2000).
[Crossref]
A. Assion, T. Baumert, M. Bergt, T. Brixner, B. Kiefer, V. Seyfried, M. Strehle, and G. Gerber, “Control of chemical reactions by feedback-optimized phase-shaped femtosecond laser pulses,” Science 282, 919–922 (1998).
[Crossref] [PubMed]
M. M. Wefers and K. A. Nelson, “Analysis of Programmable Ultrashort Wave-Form Generation Using Liquid-Crystal Spatial Light Modulators,” J. Opt. Soc. Am. B 12, 1343–1362 (1995).
[Crossref]
C. W. Hillegas, J. X. Tull, D. Goswami, D. Strickland, and W. S. Warren, “Femtosecond Laser-Pulse Shaping by Use of Microsecond Radiofrequency Pulses,” Opt. Lett. 19, 737–739 (1994).
[Crossref] [PubMed]
J. C. Vaughan, T. Hornung, T. Feurer, and K. A. Nelson, “Diffraction-based femtosecond pulse shaping with a two-dimensional spatial light modulator,” Opt. Lett. 30, 323–325 (2005).
[Crossref] [PubMed]
F. Verluise, V. Laude, Z. Cheng, C. Spielmann, and P. Tournois, “Amplitude and phase control of ultrashort pulses by use of an acousto-optic programmable dispersive filter: pulse compression and shaping,” Opt. Lett. 25, 575–577 (2000).
[Crossref]
E. Frumker, E. Tal, Y. Silberberg, and D. Majer, “Femtosecond pulse-shape modulation at nanosecond rates,” Opt. Lett. 30, 2796–2798 (2005).
[Crossref] [PubMed]
V. Bagnoud and J. D. Zuegel, “Independent phase and amplitude control of a laser beam by use of a single-phase-only spatial light modulator,” Opt. Lett. 29, 295–297 (2004).
[Crossref] [PubMed]
M. A. Dugan, J. X. Tull, and W. S. Warren, “High-resolution acousto-optic shaping of unamplified and amplified femtosecond laser pulses,” J. Opt. Soc. Am. B 14, 2348–2358 (1997).
[Crossref]
T. Binhammer, E. Rittweger, R. Ell, F. X. Kartner, and U. Morgner, “Prism-based pulse shaper for octave spanning spectra,” IEEE J. Quantum Electron. 41, 1552–1557 (2005).
[Crossref]
A. M. Weiner, “Femtosecond Optical Pulse Shaping and Processing,” Prog. Quantum Electron. 19, 161–237 (1995).
[Crossref]
S. Akturk, X. Gu, M. Kimmel, and R. Trebino, “Extremely simple single-prism ultrashort-pulse compressor,” Opt. Express 14, 10,101–10,108 (2006).
[Crossref]
D. J. Kane and R. Trebino, “Characterization of Arbitrary Femtosecond Pulses Using Frequency-Resolved Optical Gating,” IEEE J. Quantum Electron. 29, 571–579 (1993).
[Crossref]
D. J. Kane, “Real-time measurement of ultrashort laser pulses using principal component generalized projections,” IEEE J. Sel. Top. Quantum Electron. 4, 278–284 (1998).
[Crossref]
P. Schlup, J. Wilson, K. Hartinger, and R. A. Bartels, “Dispersion-balancing of variable-delay monolithic pulse-splitters,” To be published in Appl. Opt. (2007).
M. Takeda, H. Ina, and S. Kobayashi, “Fourier-Transform Method of Fringe-Pattern Analysis for Computer-Based Topography and Interferometry,” J. Opt. Soc. Am. 72, 156–160 (1982).
[Crossref]

2006 (1)

S. Akturk, X. Gu, M. Kimmel, and R. Trebino, “Extremely simple single-prism ultrashort-pulse compressor,” Opt. Express 14, 10,101–10,108 (2006).
[Crossref]

2005 (3)

T. Binhammer, E. Rittweger, R. Ell, F. X. Kartner, and U. Morgner, “Prism-based pulse shaper for octave spanning spectra,” IEEE J. Quantum Electron. 41, 1552–1557 (2005).
[Crossref]

J. C. Vaughan, T. Hornung, T. Feurer, and K. A. Nelson, “Diffraction-based femtosecond pulse shaping with a two-dimensional spatial light modulator,” Opt. Lett. 30, 323–325 (2005).
[Crossref] [PubMed]

E. Frumker, E. Tal, Y. Silberberg, and D. Majer, “Femtosecond pulse-shape modulation at nanosecond rates,” Opt. Lett. 30, 2796–2798 (2005).
[Crossref] [PubMed]

2004 (1)

V. Bagnoud and J. D. Zuegel, “Independent phase and amplitude control of a laser beam by use of a single-phase-only spatial light modulator,” Opt. Lett. 29, 295–297 (2004).
[Crossref] [PubMed]

2000 (3)

F. Verluise, V. Laude, Z. Cheng, C. Spielmann, and P. Tournois, “Amplitude and phase control of ultrashort pulses by use of an acousto-optic programmable dispersive filter: pulse compression and shaping,” Opt. Lett. 25, 575–577 (2000).
[Crossref]

A. M. Weiner, “Femtosecond pulse shaping using spatial light modulators,” Rev. Sci. Instrum. 71, 1929–1960 (2000).
[Crossref]

R. Bartels, S. Backus, E. Zeek, L. Misoguti, G. Vdovin, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, “Shaped-pulse optimization of coherent emission of high-harmonic soft X-rays,” Nature (London) 406, 164–166 (2000).
[Crossref]

1998 (2)

A. Assion, T. Baumert, M. Bergt, T. Brixner, B. Kiefer, V. Seyfried, M. Strehle, and G. Gerber, “Control of chemical reactions by feedback-optimized phase-shaped femtosecond laser pulses,” Science 282, 919–922 (1998).
[Crossref] [PubMed]

D. J. Kane, “Real-time measurement of ultrashort laser pulses using principal component generalized projections,” IEEE J. Sel. Top. Quantum Electron. 4, 278–284 (1998).
[Crossref]

1997 (1)

M. A. Dugan, J. X. Tull, and W. S. Warren, “High-resolution acousto-optic shaping of unamplified and amplified femtosecond laser pulses,” J. Opt. Soc. Am. B 14, 2348–2358 (1997).
[Crossref]

1995 (2)

M. M. Wefers and K. A. Nelson, “Analysis of Programmable Ultrashort Wave-Form Generation Using Liquid-Crystal Spatial Light Modulators,” J. Opt. Soc. Am. B 12, 1343–1362 (1995).
[Crossref]

A. M. Weiner, “Femtosecond Optical Pulse Shaping and Processing,” Prog. Quantum Electron. 19, 161–237 (1995).
[Crossref]

1994 (1)

C. W. Hillegas, J. X. Tull, D. Goswami, D. Strickland, and W. S. Warren, “Femtosecond Laser-Pulse Shaping by Use of Microsecond Radiofrequency Pulses,” Opt. Lett. 19, 737–739 (1994).
[Crossref] [PubMed]

1993 (1)

D. J. Kane and R. Trebino, “Characterization of Arbitrary Femtosecond Pulses Using Frequency-Resolved Optical Gating,” IEEE J. Quantum Electron. 29, 571–579 (1993).
[Crossref]

1982 (1)

M. Takeda, H. Ina, and S. Kobayashi, “Fourier-Transform Method of Fringe-Pattern Analysis for Computer-Based Topography and Interferometry,” J. Opt. Soc. Am. 72, 156–160 (1982).
[Crossref]

Akturk, S.

S. Akturk, X. Gu, M. Kimmel, and R. Trebino, “Extremely simple single-prism ultrashort-pulse compressor,” Opt. Express 14, 10,101–10,108 (2006).
[Crossref]

Assion, A.

Backus, S.

Bagnoud, V.

V. Bagnoud and J. D. Zuegel, “Independent phase and amplitude control of a laser beam by use of a single-phase-only spatial light modulator,” Opt. Lett. 29, 295–297 (2004).
[Crossref] [PubMed]

Bartels, R.

Bartels, R. A.

P. Schlup, J. Wilson, K. Hartinger, and R. A. Bartels, “Dispersion-balancing of variable-delay monolithic pulse-splitters,” To be published in Appl. Opt. (2007).

Baumert, T.

Bergt, M.

Binhammer, T.

T. Binhammer, E. Rittweger, R. Ell, F. X. Kartner, and U. Morgner, “Prism-based pulse shaper for octave spanning spectra,” IEEE J. Quantum Electron. 41, 1552–1557 (2005).
[Crossref]

Brixner, T.

Cheng, Z.

Christov, I. P.

Dugan, M. A.

M. A. Dugan, J. X. Tull, and W. S. Warren, “High-resolution acousto-optic shaping of unamplified and amplified femtosecond laser pulses,” J. Opt. Soc. Am. B 14, 2348–2358 (1997).
[Crossref]

Ell, R.

T. Binhammer, E. Rittweger, R. Ell, F. X. Kartner, and U. Morgner, “Prism-based pulse shaper for octave spanning spectra,” IEEE J. Quantum Electron. 41, 1552–1557 (2005).
[Crossref]

Feurer, T.

Frumker, E.

E. Frumker, E. Tal, Y. Silberberg, and D. Majer, “Femtosecond pulse-shape modulation at nanosecond rates,” Opt. Lett. 30, 2796–2798 (2005).
[Crossref] [PubMed]

Gerber, G.

Goswami, D.

Gu, X.

S. Akturk, X. Gu, M. Kimmel, and R. Trebino, “Extremely simple single-prism ultrashort-pulse compressor,” Opt. Express 14, 10,101–10,108 (2006).
[Crossref]

Hartinger, K.

P. Schlup, J. Wilson, K. Hartinger, and R. A. Bartels, “Dispersion-balancing of variable-delay monolithic pulse-splitters,” To be published in Appl. Opt. (2007).

Hillegas, C. W.

Hornung, T.

Ina, H.

M. Takeda, H. Ina, and S. Kobayashi, “Fourier-Transform Method of Fringe-Pattern Analysis for Computer-Based Topography and Interferometry,” J. Opt. Soc. Am. 72, 156–160 (1982).
[Crossref]

Kane, D. J.

D. J. Kane, “Real-time measurement of ultrashort laser pulses using principal component generalized projections,” IEEE J. Sel. Top. Quantum Electron. 4, 278–284 (1998).
[Crossref]

D. J. Kane and R. Trebino, “Characterization of Arbitrary Femtosecond Pulses Using Frequency-Resolved Optical Gating,” IEEE J. Quantum Electron. 29, 571–579 (1993).
[Crossref]

Kapteyn, H. C.

Kartner, F. X.

T. Binhammer, E. Rittweger, R. Ell, F. X. Kartner, and U. Morgner, “Prism-based pulse shaper for octave spanning spectra,” IEEE J. Quantum Electron. 41, 1552–1557 (2005).
[Crossref]

Kiefer, B.

Kimmel, M.

S. Akturk, X. Gu, M. Kimmel, and R. Trebino, “Extremely simple single-prism ultrashort-pulse compressor,” Opt. Express 14, 10,101–10,108 (2006).
[Crossref]

Kobayashi, S.

M. Takeda, H. Ina, and S. Kobayashi, “Fourier-Transform Method of Fringe-Pattern Analysis for Computer-Based Topography and Interferometry,” J. Opt. Soc. Am. 72, 156–160 (1982).
[Crossref]

Laude, V.

Majer, D.

E. Frumker, E. Tal, Y. Silberberg, and D. Majer, “Femtosecond pulse-shape modulation at nanosecond rates,” Opt. Lett. 30, 2796–2798 (2005).
[Crossref] [PubMed]

Misoguti, L.

Morgner, U.

T. Binhammer, E. Rittweger, R. Ell, F. X. Kartner, and U. Morgner, “Prism-based pulse shaper for octave spanning spectra,” IEEE J. Quantum Electron. 41, 1552–1557 (2005).
[Crossref]

Murnane, M. M.

Nelson, K. A.

M. M. Wefers and K. A. Nelson, “Analysis of Programmable Ultrashort Wave-Form Generation Using Liquid-Crystal Spatial Light Modulators,” J. Opt. Soc. Am. B 12, 1343–1362 (1995).
[Crossref]

Rittweger, E.

T. Binhammer, E. Rittweger, R. Ell, F. X. Kartner, and U. Morgner, “Prism-based pulse shaper for octave spanning spectra,” IEEE J. Quantum Electron. 41, 1552–1557 (2005).
[Crossref]

Schlup, P.

P. Schlup, J. Wilson, K. Hartinger, and R. A. Bartels, “Dispersion-balancing of variable-delay monolithic pulse-splitters,” To be published in Appl. Opt. (2007).

Seyfried, V.

Silberberg, Y.

E. Frumker, E. Tal, Y. Silberberg, and D. Majer, “Femtosecond pulse-shape modulation at nanosecond rates,” Opt. Lett. 30, 2796–2798 (2005).
[Crossref] [PubMed]

Spielmann, C.

Strehle, M.

Strickland, D.

Takeda, M.

M. Takeda, H. Ina, and S. Kobayashi, “Fourier-Transform Method of Fringe-Pattern Analysis for Computer-Based Topography and Interferometry,” J. Opt. Soc. Am. 72, 156–160 (1982).
[Crossref]

Tal, E.

E. Frumker, E. Tal, Y. Silberberg, and D. Majer, “Femtosecond pulse-shape modulation at nanosecond rates,” Opt. Lett. 30, 2796–2798 (2005).
[Crossref] [PubMed]

Tournois, P.

Trebino, R.

S. Akturk, X. Gu, M. Kimmel, and R. Trebino, “Extremely simple single-prism ultrashort-pulse compressor,” Opt. Express 14, 10,101–10,108 (2006).
[Crossref]

D. J. Kane and R. Trebino, “Characterization of Arbitrary Femtosecond Pulses Using Frequency-Resolved Optical Gating,” IEEE J. Quantum Electron. 29, 571–579 (1993).
[Crossref]

Tull, J. X.

M. A. Dugan, J. X. Tull, and W. S. Warren, “High-resolution acousto-optic shaping of unamplified and amplified femtosecond laser pulses,” J. Opt. Soc. Am. B 14, 2348–2358 (1997).
[Crossref]

Vaughan, J. C.

Vdovin, G.

Verluise, F.

Warren, W. S.

M. A. Dugan, J. X. Tull, and W. S. Warren, “High-resolution acousto-optic shaping of unamplified and amplified femtosecond laser pulses,” J. Opt. Soc. Am. B 14, 2348–2358 (1997).
[Crossref]

Wefers, M. M.

M. M. Wefers and K. A. Nelson, “Analysis of Programmable Ultrashort Wave-Form Generation Using Liquid-Crystal Spatial Light Modulators,” J. Opt. Soc. Am. B 12, 1343–1362 (1995).
[Crossref]

Weiner, A. M.

A. M. Weiner, “Femtosecond pulse shaping using spatial light modulators,” Rev. Sci. Instrum. 71, 1929–1960 (2000).
[Crossref]

A. M. Weiner, “Femtosecond Optical Pulse Shaping and Processing,” Prog. Quantum Electron. 19, 161–237 (1995).
[Crossref]

Wilson, J.

P. Schlup, J. Wilson, K. Hartinger, and R. A. Bartels, “Dispersion-balancing of variable-delay monolithic pulse-splitters,” To be published in Appl. Opt. (2007).

Zeek, E.

Zuegel, J. D.

V. Bagnoud and J. D. Zuegel, “Independent phase and amplitude control of a laser beam by use of a single-phase-only spatial light modulator,” Opt. Lett. 29, 295–297 (2004).
[Crossref] [PubMed]

IEEE J. Quantum Electron. (2)

T. Binhammer, E. Rittweger, R. Ell, F. X. Kartner, and U. Morgner, “Prism-based pulse shaper for octave spanning spectra,” IEEE J. Quantum Electron. 41, 1552–1557 (2005).
[Crossref]

D. J. Kane and R. Trebino, “Characterization of Arbitrary Femtosecond Pulses Using Frequency-Resolved Optical Gating,” IEEE J. Quantum Electron. 29, 571–579 (1993).
[Crossref]

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

D. J. Kane, “Real-time measurement of ultrashort laser pulses using principal component generalized projections,” IEEE J. Sel. Top. Quantum Electron. 4, 278–284 (1998).
[Crossref]

J. Opt. Soc. Am. (1)

M. Takeda, H. Ina, and S. Kobayashi, “Fourier-Transform Method of Fringe-Pattern Analysis for Computer-Based Topography and Interferometry,” J. Opt. Soc. Am. 72, 156–160 (1982).
[Crossref]

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

M. M. Wefers and K. A. Nelson, “Analysis of Programmable Ultrashort Wave-Form Generation Using Liquid-Crystal Spatial Light Modulators,” J. Opt. Soc. Am. B 12, 1343–1362 (1995).
[Crossref]

M. A. Dugan, J. X. Tull, and W. S. Warren, “High-resolution acousto-optic shaping of unamplified and amplified femtosecond laser pulses,” J. Opt. Soc. Am. B 14, 2348–2358 (1997).
[Crossref]

Nature (London) (1)

Opt. Express (1)

S. Akturk, X. Gu, M. Kimmel, and R. Trebino, “Extremely simple single-prism ultrashort-pulse compressor,” Opt. Express 14, 10,101–10,108 (2006).
[Crossref]

Opt. Lett. (5)

E. Frumker, E. Tal, Y. Silberberg, and D. Majer, “Femtosecond pulse-shape modulation at nanosecond rates,” Opt. Lett. 30, 2796–2798 (2005).
[Crossref] [PubMed]

V. Bagnoud and J. D. Zuegel, “Independent phase and amplitude control of a laser beam by use of a single-phase-only spatial light modulator,” Opt. Lett. 29, 295–297 (2004).
[Crossref] [PubMed]

Prog. Quantum Electron. (1)

A. M. Weiner, “Femtosecond Optical Pulse Shaping and Processing,” Prog. Quantum Electron. 19, 161–237 (1995).
[Crossref]

Rev. Sci. Instrum. (1)

A. M. Weiner, “Femtosecond pulse shaping using spatial light modulators,” Rev. Sci. Instrum. 71, 1929–1960 (2000).
[Crossref]

Science (1)

Other (1)

P. Schlup, J. Wilson, K. Hartinger, and R. A. Bartels, “Dispersion-balancing of variable-delay monolithic pulse-splitters,” To be published in Appl. Opt. (2007).

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Fig. 1.

Calibration of phase φ with respect to wavelength λ and drive level. Surface mesh lines are shown to enhance visualization of surface curvature; actual data is collected at higher resolution.

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Fig. 2.

Measured transmission T, plotted with respect to increasing phase grating depth ∆, as applied across the entire phase mask. Surface mesh lines are shown to enhance visualization of surface curvature; actual data is collected at higher resolution. Inset: line-out of the above plot at 790 nm, showing transmission T with respect to the phase grating depth (black line). Theoretical curve (light blue line) shown for comparison.

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Fig. 3.

Verification of phase calibration by applying a low-frequency sinusoidal spectral phase. Spectral intensity (light blue patch), applied phase mask (red line), and phase as measured by spectral interferometry (black line).

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Fig. 4.

(a) Measured spectral intensity (light blue patch) and phase (black line) for splitting a pulse into a delayed pair. (b) Temporal intensity, showing separation of 400 fs.

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Fig. 5.

Spectral notch of increasing width. (a) Measured spectra, normalized by the first spectrum, showing increased attenuation and broadening of notch as phase grating width is increased. (b) Transmission T at 790 nm, showing increase in attenuation which levels off when the phase grating is wider than the spectral focus 2w ₀, marked by the red dashed line.

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Fig. 6.

Amplitude-only shaping. (a) Unshaped (red line) and shaped (light blue patch) square spectrum. (b) Resulting temporal profile (blue line), with a sinc² (red line) for comparison. Spectral phase (green line) shows π phase offset between adjacent lobes.

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Fig. 7.

Temporal profiles for the spectral double-slit experiment. Inset: FROG traces depict both measured (left half of trace) and numerically reconstructed (right half) traces.

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Equations (3)

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

E_{in} (ω) e^{\frac{{(x - αω)}^{2}}{w_{0}^{2}}} M (x),

M (x) = \exp [i Δ (x) \sin (2 π f_{g} x) + i φ (x)],

M (x) \approx J_{0} [Δ (x)] \exp [i φ (x)] .