Abstract

We experimentally demonstrate that small misalignments of the pulse stretcher or compressor of our chirped-pulse-amplification laser can precompensate for angular chirp when producing ultrashort paraxial beam modes with holographic gratings. Using this approach we can eliminate one of the two gratings needed in our 2f2f setup [ Mariyenko et al., Opt. Express 13, 7599 (2005) ]. This allows for up to an order of magnitude more output power. We see our method as the next step in the production of intense exotic forms of ultrashort pulses, which can be used in the investigation of intense laser–matter interactions. In addition, we produce the first femtosecond (helical–)Ince–Gaussian beams.

© 2007 Optical Society of America

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  1. G. Nienhuis and L. Allen, Phys. Rev. A 48, 656 (1993).
    [CrossRef] [PubMed]
  2. O. Steuernagel, Am. J. Phys. 73, 625 (2005).
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  3. G.-Y. Tsaur and J. Wang, Phys. Rev. A 73, 033804 (2006).
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  4. C. P. Boyer, E. G. Kalnins, and W. Miller, Jr., J. Math. Phys. 16, 499 (1975).
    [CrossRef]
  5. A. E. Siegman, Lasers (University Science Books, 1986).
  6. G. Molina-Terriza, J. P. Torres, and L. Torner, Nat. Phys. 3, 305 (2007).
    [CrossRef]
  7. L.Allen, S.M.Barnett, and M.J.Padgett, eds., Optical Angular Momentum (IOP, 2003).
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  8. M. A. Bandres and J. C. Gutiérrez-Vega, J. Opt. Soc. Am. A 21, 873 (2004).
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  9. J. B. Bentley, J. A. Davis, M. A. Bandres, and J. C. Gutiérrez-Vega, Opt. Lett. 31, 649 (2006).
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  10. J. Leach and M. J. Padgett, New J. Phys. 5, 154 (2003).
    [CrossRef]
  11. G. Pretzler, A. Kasper, and K. J. Witte, Appl. Phys. B 70, 1 (2000).
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  12. K. Bezuhanov, A. Dreischuh, G. G. Paulus, M. G. Schätzel, and H. Walther, Opt. Lett. 29, 1942 (2004).
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  14. K. Bezuhanov, A. Dreischuh, G. G. Paulus, M. G. Schätzel, H. Walther, D. Neshev, W. Królikowski, and Y. Kivshar, J. Opt. Soc. Am. B 23, 26 (2006).
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2007 (1)

G. Molina-Terriza, J. P. Torres, and L. Torner, Nat. Phys. 3, 305 (2007).
[CrossRef]

2006 (3)

2005 (2)

2004 (2)

2003 (1)

J. Leach and M. J. Padgett, New J. Phys. 5, 154 (2003).
[CrossRef]

2000 (1)

G. Pretzler, A. Kasper, and K. J. Witte, Appl. Phys. B 70, 1 (2000).
[CrossRef]

1999 (1)

1993 (1)

G. Nienhuis and L. Allen, Phys. Rev. A 48, 656 (1993).
[CrossRef] [PubMed]

1975 (1)

C. P. Boyer, E. G. Kalnins, and W. Miller, Jr., J. Math. Phys. 16, 499 (1975).
[CrossRef]

Allen, L.

G. Nienhuis and L. Allen, Phys. Rev. A 48, 656 (1993).
[CrossRef] [PubMed]

Bandres, M. A.

Bentley, J. B.

Bezuhanov, K.

Boyer, C. P.

C. P. Boyer, E. G. Kalnins, and W. Miller, Jr., J. Math. Phys. 16, 499 (1975).
[CrossRef]

Campos, J.

Cottrell, D. M.

Davis, J. A.

Dreischuh, A.

Gutiérrez-Vega, J. C.

Kalnins, E. G.

C. P. Boyer, E. G. Kalnins, and W. Miller, Jr., J. Math. Phys. 16, 499 (1975).
[CrossRef]

Kasper, A.

G. Pretzler, A. Kasper, and K. J. Witte, Appl. Phys. B 70, 1 (2000).
[CrossRef]

Kivshar, Y.

Królikowski, W.

Leach, J.

J. Leach and M. J. Padgett, New J. Phys. 5, 154 (2003).
[CrossRef]

Mariyenko, I. G.

Miller, W.

C. P. Boyer, E. G. Kalnins, and W. Miller, Jr., J. Math. Phys. 16, 499 (1975).
[CrossRef]

Molina-Terriza, G.

G. Molina-Terriza, J. P. Torres, and L. Torner, Nat. Phys. 3, 305 (2007).
[CrossRef]

Moreno, I.

Neshev, D.

Nienhuis, G.

G. Nienhuis and L. Allen, Phys. Rev. A 48, 656 (1993).
[CrossRef] [PubMed]

Padgett, M. J.

J. Leach and M. J. Padgett, New J. Phys. 5, 154 (2003).
[CrossRef]

Paulus, G. G.

Pretzler, G.

G. Pretzler, A. Kasper, and K. J. Witte, Appl. Phys. B 70, 1 (2000).
[CrossRef]

Schätzel, M. G.

Siegman, A. E.

A. E. Siegman, Lasers (University Science Books, 1986).

Steuernagel, O.

O. Steuernagel, Am. J. Phys. 73, 625 (2005).
[CrossRef]

Strohaber, J.

Torner, L.

G. Molina-Terriza, J. P. Torres, and L. Torner, Nat. Phys. 3, 305 (2007).
[CrossRef]

Torres, J. P.

G. Molina-Terriza, J. P. Torres, and L. Torner, Nat. Phys. 3, 305 (2007).
[CrossRef]

Tsaur, G.-Y.

G.-Y. Tsaur and J. Wang, Phys. Rev. A 73, 033804 (2006).
[CrossRef]

Uiterwaal, C. J. G. J.

Walther, H.

Wang, J.

G.-Y. Tsaur and J. Wang, Phys. Rev. A 73, 033804 (2006).
[CrossRef]

Witte, K. J.

G. Pretzler, A. Kasper, and K. J. Witte, Appl. Phys. B 70, 1 (2000).
[CrossRef]

Yzuel, M. J.

Am. J. Phys. (1)

O. Steuernagel, Am. J. Phys. 73, 625 (2005).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. B (1)

G. Pretzler, A. Kasper, and K. J. Witte, Appl. Phys. B 70, 1 (2000).
[CrossRef]

J. Math. Phys. (1)

C. P. Boyer, E. G. Kalnins, and W. Miller, Jr., J. Math. Phys. 16, 499 (1975).
[CrossRef]

J. Opt. Soc. Am. A (1)

J. Opt. Soc. Am. B (1)

Nat. Phys. (1)

G. Molina-Terriza, J. P. Torres, and L. Torner, Nat. Phys. 3, 305 (2007).
[CrossRef]

New J. Phys. (1)

J. Leach and M. J. Padgett, New J. Phys. 5, 154 (2003).
[CrossRef]

Opt. Express (1)

Opt. Lett. (2)

Phys. Rev. A (2)

G. Nienhuis and L. Allen, Phys. Rev. A 48, 656 (1993).
[CrossRef] [PubMed]

G.-Y. Tsaur and J. Wang, Phys. Rev. A 73, 033804 (2006).
[CrossRef]

Other (2)

A. E. Siegman, Lasers (University Science Books, 1986).

L.Allen, S.M.Barnett, and M.J.Padgett, eds., Optical Angular Momentum (IOP, 2003).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Spectral sweeps m ( z ) of the beam from misaligned (a) stretcher or (b) compressor; solid curves follow from Eq. (1) (see text).

Fig. 2
Fig. 2

(a) Angular chirp from misaligned stretcher versus ε. Circles, experiment; solid curve, theory. (b) Same as (a) for compressor, varying ε t . (c) Intensity ratio R measured with HG 1 , 0 mode in stretcher- 2 f 2 f setup in the ± 1 orders (circles–triangles) versus ε for fixed Λ SLM . (d) R for the compressor- 2 f 2 f setup in the + 1 order versus Λ SLM for fixed ε t .

Fig. 3
Fig. 3

Compressor- 2 f 2 f setup: Far-field profiles recorded in the ± 1 diffraction order ( HG 1 , 1 mode) for C a = + Λ SLM 1 (top row), C a = 0 (middle row), and C a = Λ SLM 1 (bottom row).

Fig. 4
Fig. 4

Gallery of ultrashort paraxial modes created with our compressor- 2 f 2 f setup. Columns 1, 3, compensated order; columns 2, 4, uncompensated order. (a), (b) HG 2 , 2 , (c), (d) HG 2 , 4 , (e), (f) LG 4 , 4 o , (g), (h) LG 1 , 1 (i), (j) IG 3 , 3 , 2 e , (k), (l) IG 12 , 4 , 2 o , (m), (n) HIG 10 , 10 , 4 + , (o), (p) HIG 12 , 10 , 6 + .

Equations (2)

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I ( x , y , λ ) exp ( 2 y 2 ω 2 ( z ) ) exp ( 2 x 2 ω d 2 ( z ) ) exp [ 2 ω d 2 ( z ) ω 2 ( z ) ω λ 2 ( λ λ 0 z C a ω λ 2 ω d 2 ( z ) x ) 2 ] .
I ( x , y ) = d λ HG 1 , 0 ( x ( C a ± 1 Λ SLM ) ( λ λ 0 ) f , y ) 2 exp [ ( λ λ 0 ) 2 ω λ 2 ] ,

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