Abstract

We present a femtosecond pulse shaper setup that is capable of shaping the phase, amplitude, and polarization simultaneously and independently. The modulator utilizes four liquid crystal arrays, a pair of half-wave plates, and a polarizer to gain full control of the electrical field. This is done in a common-path common-optic scheme without using interferometry. The functionality of the setup is demonstrated by using systematic parameter scans and example pulses.

© 2009 Optical Society of America

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    [CrossRef]
  6. T. Brixner, G. Krampert, T. Pfeifer, R. Selle, G. Gerber, M. Wollenhaupt, O. Graefe, C. Horn, D. Liese, and T. Baumert, Phys. Rev. Lett. 92, 208301 (2004).
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  10. M. Akbulut, R. Nelson, A. M. Weiner, P. Cronin, and P. J. Miller, Opt. Lett. 29, 1129 (2004).
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    [CrossRef]
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  14. O. Masihzadeh, P. Schlup, and R. A. Bartels, Opt. Express 15, 18025 (2007).
    [CrossRef] [PubMed]

2007 (4)

M. Plewicki, S. M. Weber, F. Weise, and A. Lindinger, Appl. Phys. B 86, 259 (2007).
[CrossRef]

M. Aeschlimann, M. Bauer, D. Bayer, T. Brixner, F. J. G. de Abajo, W. Pfeiffer, M. Rohmer, C. Spindler, and F. Steeb, Nature 446, 301 (2007).
[CrossRef] [PubMed]

M. Ninck, A. Galler, T. Feurer, and T. Brixner, Opt. Lett. 32, 3379 (2007).
[CrossRef] [PubMed]

O. Masihzadeh, P. Schlup, and R. A. Bartels, Opt. Express 15, 18025 (2007).
[CrossRef] [PubMed]

2006 (2)

L. Polachek, D. Oron, and Y. Silberberg, Opt. Lett. 31, 631 (2006).
[CrossRef] [PubMed]

M. Plewicki, F. Weise, S. M. Weber, and A. Lindinger, Appl. Opt. 45, 8356 (2006).
[CrossRef]

2004 (5)

M. Akbulut, R. Nelson, A. M. Weiner, P. Cronin, and P. J. Miller, Opt. Lett. 29, 1129 (2004).
[CrossRef] [PubMed]

T. Brixner, G. Krampert, T. Pfeifer, R. Selle, G. Gerber, M. Wollenhaupt, O. Graefe, C. Horn, D. Liese, and T. Baumert, Phys. Rev. Lett. 92, 208301 (2004).
[CrossRef] [PubMed]

T. Suzuki, S. Minemoto, T. Kanai, and H. Sakai, Phys. Rev. Lett. 92, 133005 (2004).
[CrossRef] [PubMed]

N. Dudovich, D. Oron, and Y. Silberberg, Phys. Rev. Lett. 92, 103003 (2004).
[CrossRef] [PubMed]

M. Dantus and V. V. Lozovoy, Chem. Rev. 104, 1813 (2004).
[CrossRef] [PubMed]

2001 (1)

1995 (1)

1990 (1)

Aeschlimann, M.

M. Aeschlimann, M. Bauer, D. Bayer, T. Brixner, F. J. G. de Abajo, W. Pfeiffer, M. Rohmer, C. Spindler, and F. Steeb, Nature 446, 301 (2007).
[CrossRef] [PubMed]

Akbulut, M.

Bartels, R. A.

Bauer, M.

M. Aeschlimann, M. Bauer, D. Bayer, T. Brixner, F. J. G. de Abajo, W. Pfeiffer, M. Rohmer, C. Spindler, and F. Steeb, Nature 446, 301 (2007).
[CrossRef] [PubMed]

Baumert, T.

T. Brixner, G. Krampert, T. Pfeifer, R. Selle, G. Gerber, M. Wollenhaupt, O. Graefe, C. Horn, D. Liese, and T. Baumert, Phys. Rev. Lett. 92, 208301 (2004).
[CrossRef] [PubMed]

Bayer, D.

M. Aeschlimann, M. Bauer, D. Bayer, T. Brixner, F. J. G. de Abajo, W. Pfeiffer, M. Rohmer, C. Spindler, and F. Steeb, Nature 446, 301 (2007).
[CrossRef] [PubMed]

Brixner, T.

M. Aeschlimann, M. Bauer, D. Bayer, T. Brixner, F. J. G. de Abajo, W. Pfeiffer, M. Rohmer, C. Spindler, and F. Steeb, Nature 446, 301 (2007).
[CrossRef] [PubMed]

M. Ninck, A. Galler, T. Feurer, and T. Brixner, Opt. Lett. 32, 3379 (2007).
[CrossRef] [PubMed]

T. Brixner, G. Krampert, T. Pfeifer, R. Selle, G. Gerber, M. Wollenhaupt, O. Graefe, C. Horn, D. Liese, and T. Baumert, Phys. Rev. Lett. 92, 208301 (2004).
[CrossRef] [PubMed]

T. Brixner and G. Gerber, Opt. Lett. 26, 557 (2001).
[CrossRef]

Cronin, P.

Dantus, M.

M. Dantus and V. V. Lozovoy, Chem. Rev. 104, 1813 (2004).
[CrossRef] [PubMed]

de Abajo, F. J. G.

M. Aeschlimann, M. Bauer, D. Bayer, T. Brixner, F. J. G. de Abajo, W. Pfeiffer, M. Rohmer, C. Spindler, and F. Steeb, Nature 446, 301 (2007).
[CrossRef] [PubMed]

Dudovich, N.

N. Dudovich, D. Oron, and Y. Silberberg, Phys. Rev. Lett. 92, 103003 (2004).
[CrossRef] [PubMed]

Feurer, T.

Galler, A.

Gerber, G.

T. Brixner, G. Krampert, T. Pfeifer, R. Selle, G. Gerber, M. Wollenhaupt, O. Graefe, C. Horn, D. Liese, and T. Baumert, Phys. Rev. Lett. 92, 208301 (2004).
[CrossRef] [PubMed]

T. Brixner and G. Gerber, Opt. Lett. 26, 557 (2001).
[CrossRef]

Graefe, O.

T. Brixner, G. Krampert, T. Pfeifer, R. Selle, G. Gerber, M. Wollenhaupt, O. Graefe, C. Horn, D. Liese, and T. Baumert, Phys. Rev. Lett. 92, 208301 (2004).
[CrossRef] [PubMed]

Horn, C.

T. Brixner, G. Krampert, T. Pfeifer, R. Selle, G. Gerber, M. Wollenhaupt, O. Graefe, C. Horn, D. Liese, and T. Baumert, Phys. Rev. Lett. 92, 208301 (2004).
[CrossRef] [PubMed]

Kanai, T.

T. Suzuki, S. Minemoto, T. Kanai, and H. Sakai, Phys. Rev. Lett. 92, 133005 (2004).
[CrossRef] [PubMed]

Krampert, G.

T. Brixner, G. Krampert, T. Pfeifer, R. Selle, G. Gerber, M. Wollenhaupt, O. Graefe, C. Horn, D. Liese, and T. Baumert, Phys. Rev. Lett. 92, 208301 (2004).
[CrossRef] [PubMed]

Leaird, D. E.

Liese, D.

T. Brixner, G. Krampert, T. Pfeifer, R. Selle, G. Gerber, M. Wollenhaupt, O. Graefe, C. Horn, D. Liese, and T. Baumert, Phys. Rev. Lett. 92, 208301 (2004).
[CrossRef] [PubMed]

Lindinger, A.

M. Plewicki, S. M. Weber, F. Weise, and A. Lindinger, Appl. Phys. B 86, 259 (2007).
[CrossRef]

M. Plewicki, F. Weise, S. M. Weber, and A. Lindinger, Appl. Opt. 45, 8356 (2006).
[CrossRef]

Lozovoy, V. V.

M. Dantus and V. V. Lozovoy, Chem. Rev. 104, 1813 (2004).
[CrossRef] [PubMed]

Masihzadeh, O.

Miller, P. J.

Minemoto, S.

T. Suzuki, S. Minemoto, T. Kanai, and H. Sakai, Phys. Rev. Lett. 92, 133005 (2004).
[CrossRef] [PubMed]

Nelson, K. A.

Nelson, R.

Ninck, M.

Oron, D.

L. Polachek, D. Oron, and Y. Silberberg, Opt. Lett. 31, 631 (2006).
[CrossRef] [PubMed]

N. Dudovich, D. Oron, and Y. Silberberg, Phys. Rev. Lett. 92, 103003 (2004).
[CrossRef] [PubMed]

Patel, J. S.

Pfeifer, T.

T. Brixner, G. Krampert, T. Pfeifer, R. Selle, G. Gerber, M. Wollenhaupt, O. Graefe, C. Horn, D. Liese, and T. Baumert, Phys. Rev. Lett. 92, 208301 (2004).
[CrossRef] [PubMed]

Pfeiffer, W.

M. Aeschlimann, M. Bauer, D. Bayer, T. Brixner, F. J. G. de Abajo, W. Pfeiffer, M. Rohmer, C. Spindler, and F. Steeb, Nature 446, 301 (2007).
[CrossRef] [PubMed]

Plewicki, M.

M. Plewicki, S. M. Weber, F. Weise, and A. Lindinger, Appl. Phys. B 86, 259 (2007).
[CrossRef]

M. Plewicki, F. Weise, S. M. Weber, and A. Lindinger, Appl. Opt. 45, 8356 (2006).
[CrossRef]

Polachek, L.

Rohmer, M.

M. Aeschlimann, M. Bauer, D. Bayer, T. Brixner, F. J. G. de Abajo, W. Pfeiffer, M. Rohmer, C. Spindler, and F. Steeb, Nature 446, 301 (2007).
[CrossRef] [PubMed]

Sakai, H.

T. Suzuki, S. Minemoto, T. Kanai, and H. Sakai, Phys. Rev. Lett. 92, 133005 (2004).
[CrossRef] [PubMed]

Schlup, P.

Selle, R.

T. Brixner, G. Krampert, T. Pfeifer, R. Selle, G. Gerber, M. Wollenhaupt, O. Graefe, C. Horn, D. Liese, and T. Baumert, Phys. Rev. Lett. 92, 208301 (2004).
[CrossRef] [PubMed]

Silberberg, Y.

L. Polachek, D. Oron, and Y. Silberberg, Opt. Lett. 31, 631 (2006).
[CrossRef] [PubMed]

N. Dudovich, D. Oron, and Y. Silberberg, Phys. Rev. Lett. 92, 103003 (2004).
[CrossRef] [PubMed]

Spindler, C.

M. Aeschlimann, M. Bauer, D. Bayer, T. Brixner, F. J. G. de Abajo, W. Pfeiffer, M. Rohmer, C. Spindler, and F. Steeb, Nature 446, 301 (2007).
[CrossRef] [PubMed]

Steeb, F.

M. Aeschlimann, M. Bauer, D. Bayer, T. Brixner, F. J. G. de Abajo, W. Pfeiffer, M. Rohmer, C. Spindler, and F. Steeb, Nature 446, 301 (2007).
[CrossRef] [PubMed]

Suzuki, T.

T. Suzuki, S. Minemoto, T. Kanai, and H. Sakai, Phys. Rev. Lett. 92, 133005 (2004).
[CrossRef] [PubMed]

Weber, S. M.

M. Plewicki, S. M. Weber, F. Weise, and A. Lindinger, Appl. Phys. B 86, 259 (2007).
[CrossRef]

M. Plewicki, F. Weise, S. M. Weber, and A. Lindinger, Appl. Opt. 45, 8356 (2006).
[CrossRef]

Wefers, M. M.

Weiner, A. M.

Weise, F.

M. Plewicki, S. M. Weber, F. Weise, and A. Lindinger, Appl. Phys. B 86, 259 (2007).
[CrossRef]

M. Plewicki, F. Weise, S. M. Weber, and A. Lindinger, Appl. Opt. 45, 8356 (2006).
[CrossRef]

Wollenhaupt, M.

T. Brixner, G. Krampert, T. Pfeifer, R. Selle, G. Gerber, M. Wollenhaupt, O. Graefe, C. Horn, D. Liese, and T. Baumert, Phys. Rev. Lett. 92, 208301 (2004).
[CrossRef] [PubMed]

Wullert, J. R.

Appl. Opt. (1)

M. Plewicki, F. Weise, S. M. Weber, and A. Lindinger, Appl. Opt. 45, 8356 (2006).
[CrossRef]

Appl. Phys. B (1)

M. Plewicki, S. M. Weber, F. Weise, and A. Lindinger, Appl. Phys. B 86, 259 (2007).
[CrossRef]

Chem. Rev. (1)

M. Dantus and V. V. Lozovoy, Chem. Rev. 104, 1813 (2004).
[CrossRef] [PubMed]

Nature (1)

M. Aeschlimann, M. Bauer, D. Bayer, T. Brixner, F. J. G. de Abajo, W. Pfeiffer, M. Rohmer, C. Spindler, and F. Steeb, Nature 446, 301 (2007).
[CrossRef] [PubMed]

Opt. Express (1)

Opt. Lett. (6)

Phys. Rev. Lett. (3)

T. Brixner, G. Krampert, T. Pfeifer, R. Selle, G. Gerber, M. Wollenhaupt, O. Graefe, C. Horn, D. Liese, and T. Baumert, Phys. Rev. Lett. 92, 208301 (2004).
[CrossRef] [PubMed]

T. Suzuki, S. Minemoto, T. Kanai, and H. Sakai, Phys. Rev. Lett. 92, 133005 (2004).
[CrossRef] [PubMed]

N. Dudovich, D. Oron, and Y. Silberberg, Phys. Rev. Lett. 92, 103003 (2004).
[CrossRef] [PubMed]

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Figures (4)

Fig. 1
Fig. 1

The setup consists of a 4-f line with three double LCA modulators separated by a polarizer and two half-wave plates at 22.5 ° in the FP.

Fig. 2
Fig. 2

High-resolution spectrum of a binary amplitude pattern of …0101100111000111100001… around the central wavelength. The measurement was carried out for different displacements of the SLM out of the FP. The resolution is not affected by a displacement in this range.

Fig. 3
Fig. 3

For systematic variations of the polarization parameters of the pulse, the power is measured behind a polarizer. (a) Change of the ellipticity from circular (1) to linear (0) for different orientations. (b) Rotation of the ellipse for different ellipticities.

Fig. 4
Fig. 4

Example pulses. Each graph exhibits the parameters' intensity, ellipticity, and orientation of the polarization ellipse. (a) Linear pulse rotated by γ = 30 ° . (b) Pulse set to an ellipticity of r = 0.4 with an orientation of + 45 ° . (c) Circular pulse. The parameters measured show an excellent agreement with the values that were chosen. For pulse (d) a complex pattern was applied to each mask, yielding a modulation in phase, amplitude, and polarization. This results in a multipulse structure with changing polarization states.

Equations (4)

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E ( ω n ) = G × LC 0 ° ( φ e ω n ) × LC + 45 ° ( φ c ω n ) × Pol 0 ° × LC 45 ° ( φ b ω n ) × LC + 45 ° ( φ a ω n ) × E in ( ω n ) = E in ( ω n ) exp [ i 2 ( φ a ω n + φ b ω n + φ c e g a n ) ] cos ( φ a ω n φ b ω n 2 ) ( cos ( φ c ω n 2 ) e i φ e ω n i sin ( φ c ω n 2 ) g ) ,
φ a φ b = 2 arccos ( I ) ,
φ c = 2 arctan ( g ( 1 + 2 ( 1 + r 2 ) 1 + r 2 ( r 2 1 ) 2 cos ( 2 γ ) ) 1 2 ) ,
φ e = π 2 + arccos ( ( 2 ( r 2 1 ) 2 sin ( 2 γ ) 2 1 + 6 r 2 + r 4 ( r 2 1 ) 2 cos ( 4 γ ) ) 1 2 ) .

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