Abstract

We demonstrate the utilization of Dammann lenses codified onto a spatial light modulator (SLM) for triggering non-linear effects. With continuous wave illumination Dammann lenses are binary phase optical elements that generate a set of equal intensity foci. We theoretically calculate the influence of ultrashort pulse illumination on the uniformity of the generated pattern, which is affected by chromatic aberration for pulses with temporal widths lower than 100 fs. The simulations also indicate that acceptable uniformity can be achieved for pulses of several fs by shortening the distance among foci which can be easily modified with the SLM. Multifocal second-harmonic generation (SHG) and on-axis multiple filamentation are produced and actively controlled in βBaB2O4 (BBO) and fused silica samples, respectively, with an amplified Ti: Sapphire femtosecond laser of 30 fs pulse duration. Experimental results are in very good agreement with theoretical calculations.

© 2013 Optical Society of America

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  1. R. W. Boyd, Nonlinear Optics (Academic, 2008).
  2. D. Strickland and G. Mourou, Opt. Commun. 56, 219 (1985).
    [CrossRef]
  3. P. Franken, A. Hill, C. Peters, and G. Weinreich, Phys. Rev. Lett. 7, 118 (1961).
    [CrossRef]
  4. R. Alfano, The Supercontinuum Laser Source (Springer, 2006).
  5. A. Couairon and A. Mysyrowicz, Phys. Rep. 441, 47 (2007).
    [CrossRef]
  6. M. Nisoli, S. De Silvestri, and O. Svelto, Appl. Phys. Lett. 68, 2793 (1996).
    [CrossRef]
  7. G. Boyd and D. Kleinman, J. Appl. Phys. 39, 3597 (1968).
    [CrossRef]
  8. G. Mínguez-Vega, C. Romero, O. Mendoza-Yero, J. R. Vázquez de Aldana, R. Borrego-Varillas, C. Méndez, P. Andrés, J. Lancis, and L. Roso, Opt. Lett. 35, 3694 (2010).
    [CrossRef]
  9. C. Romero, R. Borrego-Varillas, A. Camino, G. Minguez-Vega, O. Mendoza-Yero, J. Hernandez-Toro, and J. R. Vázquez de Aldana, Opt. Express 19, 4977 (2011).
    [CrossRef]
  10. H. Dammann and E. Klotz, Opt. Acta 24, 505 (1977).
    [CrossRef]
  11. C. Zhou and L. Liu, Appl. Opt. 34, 5961 (1995).
    [CrossRef]
  12. I. Moreno, J. A. Davis, D. M. Cottrell, N. Zhang, and X.-C. Yuan, Opt. Lett. 35, 1536 (2010).
    [CrossRef]
  13. J. A. Davis, I. Moreno, J. L. Martínez, T. J. Hernández, and D. M. Cottrell, Appl. Opt. 50, 3653 (2011).
    [CrossRef]
  14. J. Yu, C. Zhou, W. Jia, W. Cao, S. Wang, J. Ma, and H. Cao, Appl. Opt. 51, 1619 (2012).
    [CrossRef]
  15. D. C. O´Shea, Appl. Opt. 34, 6533 (1995).
    [CrossRef]
  16. N. Huot, R. Stoian, A. Mermillod-Blondin, C. Mauclair, and E. Audouard, Opt. Express 15, 12395 (2007).
    [CrossRef]
  17. Q. Sun, H. Jiang, Y. Liu, Y. Zhou, H. Yang, and Q. Gong, J. Opt. A 7, 655 (2005).
    [CrossRef]
  18. R. Gattass and E. Mazur, Nat. Photonics 2, 219 (2008).
    [CrossRef]
  19. C. Mauclair, A. Mermillond-Blondin, S. Landon, N. Huot, A. Rosenfeld, I. V. Hertel, E. Audouard, I. Myiamoto, and R. Stoian, Opt. Lett. 36, 325 (2011).
    [CrossRef]

2012

2011

2010

2008

R. Gattass and E. Mazur, Nat. Photonics 2, 219 (2008).
[CrossRef]

2007

2005

Q. Sun, H. Jiang, Y. Liu, Y. Zhou, H. Yang, and Q. Gong, J. Opt. A 7, 655 (2005).
[CrossRef]

1996

M. Nisoli, S. De Silvestri, and O. Svelto, Appl. Phys. Lett. 68, 2793 (1996).
[CrossRef]

1995

1985

D. Strickland and G. Mourou, Opt. Commun. 56, 219 (1985).
[CrossRef]

1977

H. Dammann and E. Klotz, Opt. Acta 24, 505 (1977).
[CrossRef]

1968

G. Boyd and D. Kleinman, J. Appl. Phys. 39, 3597 (1968).
[CrossRef]

1961

P. Franken, A. Hill, C. Peters, and G. Weinreich, Phys. Rev. Lett. 7, 118 (1961).
[CrossRef]

Alfano, R.

R. Alfano, The Supercontinuum Laser Source (Springer, 2006).

Andrés, P.

Audouard, E.

Borrego-Varillas, R.

Boyd, G.

G. Boyd and D. Kleinman, J. Appl. Phys. 39, 3597 (1968).
[CrossRef]

Boyd, R. W.

R. W. Boyd, Nonlinear Optics (Academic, 2008).

Camino, A.

Cao, H.

Cao, W.

Cottrell, D. M.

Couairon, A.

A. Couairon and A. Mysyrowicz, Phys. Rep. 441, 47 (2007).
[CrossRef]

Dammann, H.

H. Dammann and E. Klotz, Opt. Acta 24, 505 (1977).
[CrossRef]

Davis, J. A.

De Silvestri, S.

M. Nisoli, S. De Silvestri, and O. Svelto, Appl. Phys. Lett. 68, 2793 (1996).
[CrossRef]

Franken, P.

P. Franken, A. Hill, C. Peters, and G. Weinreich, Phys. Rev. Lett. 7, 118 (1961).
[CrossRef]

Gattass, R.

R. Gattass and E. Mazur, Nat. Photonics 2, 219 (2008).
[CrossRef]

Gong, Q.

Q. Sun, H. Jiang, Y. Liu, Y. Zhou, H. Yang, and Q. Gong, J. Opt. A 7, 655 (2005).
[CrossRef]

Hernández, T. J.

Hernandez-Toro, J.

Hertel, I. V.

Hill, A.

P. Franken, A. Hill, C. Peters, and G. Weinreich, Phys. Rev. Lett. 7, 118 (1961).
[CrossRef]

Huot, N.

Jia, W.

Jiang, H.

Q. Sun, H. Jiang, Y. Liu, Y. Zhou, H. Yang, and Q. Gong, J. Opt. A 7, 655 (2005).
[CrossRef]

Kleinman, D.

G. Boyd and D. Kleinman, J. Appl. Phys. 39, 3597 (1968).
[CrossRef]

Klotz, E.

H. Dammann and E. Klotz, Opt. Acta 24, 505 (1977).
[CrossRef]

Lancis, J.

Landon, S.

Liu, L.

Liu, Y.

Q. Sun, H. Jiang, Y. Liu, Y. Zhou, H. Yang, and Q. Gong, J. Opt. A 7, 655 (2005).
[CrossRef]

Ma, J.

Martínez, J. L.

Mauclair, C.

Mazur, E.

R. Gattass and E. Mazur, Nat. Photonics 2, 219 (2008).
[CrossRef]

Méndez, C.

Mendoza-Yero, O.

Mermillod-Blondin, A.

Mermillond-Blondin, A.

Minguez-Vega, G.

Mínguez-Vega, G.

Moreno, I.

Mourou, G.

D. Strickland and G. Mourou, Opt. Commun. 56, 219 (1985).
[CrossRef]

Myiamoto, I.

Mysyrowicz, A.

A. Couairon and A. Mysyrowicz, Phys. Rep. 441, 47 (2007).
[CrossRef]

Nisoli, M.

M. Nisoli, S. De Silvestri, and O. Svelto, Appl. Phys. Lett. 68, 2793 (1996).
[CrossRef]

O´Shea, D. C.

Peters, C.

P. Franken, A. Hill, C. Peters, and G. Weinreich, Phys. Rev. Lett. 7, 118 (1961).
[CrossRef]

Romero, C.

Rosenfeld, A.

Roso, L.

Stoian, R.

Strickland, D.

D. Strickland and G. Mourou, Opt. Commun. 56, 219 (1985).
[CrossRef]

Sun, Q.

Q. Sun, H. Jiang, Y. Liu, Y. Zhou, H. Yang, and Q. Gong, J. Opt. A 7, 655 (2005).
[CrossRef]

Svelto, O.

M. Nisoli, S. De Silvestri, and O. Svelto, Appl. Phys. Lett. 68, 2793 (1996).
[CrossRef]

Vázquez de Aldana, J. R.

Wang, S.

Weinreich, G.

P. Franken, A. Hill, C. Peters, and G. Weinreich, Phys. Rev. Lett. 7, 118 (1961).
[CrossRef]

Yang, H.

Q. Sun, H. Jiang, Y. Liu, Y. Zhou, H. Yang, and Q. Gong, J. Opt. A 7, 655 (2005).
[CrossRef]

Yu, J.

Yuan, X.-C.

Zhang, N.

Zhou, C.

Zhou, Y.

Q. Sun, H. Jiang, Y. Liu, Y. Zhou, H. Yang, and Q. Gong, J. Opt. A 7, 655 (2005).
[CrossRef]

Appl. Opt.

Appl. Phys. Lett.

M. Nisoli, S. De Silvestri, and O. Svelto, Appl. Phys. Lett. 68, 2793 (1996).
[CrossRef]

J. Appl. Phys.

G. Boyd and D. Kleinman, J. Appl. Phys. 39, 3597 (1968).
[CrossRef]

J. Opt. A

Q. Sun, H. Jiang, Y. Liu, Y. Zhou, H. Yang, and Q. Gong, J. Opt. A 7, 655 (2005).
[CrossRef]

Nat. Photonics

R. Gattass and E. Mazur, Nat. Photonics 2, 219 (2008).
[CrossRef]

Opt. Acta

H. Dammann and E. Klotz, Opt. Acta 24, 505 (1977).
[CrossRef]

Opt. Commun.

D. Strickland and G. Mourou, Opt. Commun. 56, 219 (1985).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rep.

A. Couairon and A. Mysyrowicz, Phys. Rep. 441, 47 (2007).
[CrossRef]

Phys. Rev. Lett.

P. Franken, A. Hill, C. Peters, and G. Weinreich, Phys. Rev. Lett. 7, 118 (1961).
[CrossRef]

Other

R. Alfano, The Supercontinuum Laser Source (Springer, 2006).

R. W. Boyd, Nonlinear Optics (Academic, 2008).

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Figures (4)

Fig. 1.
Fig. 1.

Experimental setup for the analysis of nonlinear effects caused by multiple on-axis foci generated with Dammann lenses encoded into an SLM. The input beam is split in two rays by a beam splitter (green dotted line) to work with the SLM at normal incidence. A beam dumper (BD) is used to block the unused part of the beam.

Fig. 2.
Fig. 2.

Simulated irradiance patterns obtained with a Dammann lens, which is illuminated with (a) monochromatic beam, (b) 100 fs laser pulse, and (c) 22 fs laser pulse.

Fig. 3.
Fig. 3.

On-axis multifocal SHG with Dammann lenses: experiment (red dotted line) and theory (black line). Dammann phase mask, pulse spectrum, and images of the foci from a lateral side of the non-linear crystal are shown as insets.

Fig. 4.
Fig. 4.

Examples of multifilament generation in fused silica glass. The number of filaments and distances between them are changed by encoding different Dammann lenses.

Equations (2)

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1fn=1FnnDf.
I(z)=sin2(Aπa2λz)A2,

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