Abstract

We report on the third-harmonic generation of femtosecond laser pulses at interfaces. We measured slabs of different types of optical glasses and demonstrated that the asymmetric intensity profile observed for a tightly focused beam can be explained by self-focusing effects.

© 2013 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. G. C. Bjorklund, IEEE J. Quantum Electron. QE-11, 287 (1975).
    [CrossRef]
  2. Y. Barad, H. Eisenberg, H. Horowitz, and Y. Silberberg, Appl. Phys. Lett. 70, 922 (1997).
    [CrossRef]
  3. L. G. Gouy, C. R. Acad. Sci. Paris 110, 1251 (1890).
  4. V. Shcheslavskiy, G. I. Petrov, S. Saltiel, and V. V. Yakovlev, J. Struc. Biol. 147, 42 (2004).
    [CrossRef]
  5. K. D. Moll, D. Homoelle, A. L. Gaeta, and R. W. Boyd, Phys. Rev. Lett. 88, 153901 (2002).
    [CrossRef]
  6. I. A. Heisler, L. Misoguti, S. C. Zilio, E. V. Rodriguez, and C. B. de Araujo, Appl. Phys. Lett. 92, 091109 (2008).
    [CrossRef]
  7. E. C. Barbano, J. P. Siqueira, C. R. Mendonça, L. Misoguti, and S. C. Zílio, Proc. SPIE 7917, 79170T (2011).
  8. M. D. Crisp, N. L. Boling, and G. Dubé, Appl. Phys. Lett. 21, 364 (1972).
    [CrossRef]
  9. W. Koechner, Solid-State Laser Engineering, 4th ed. (Springer-Verlag, 1996).
  10. M. Sheik-Bahae, A. A. Said, T. Wei, D. J. Hagan, and E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990).
    [CrossRef]
  11. D. Stoker, M. F. Becker, and J. W. Keto, Phys. Rev. A 71, 061802(R) (2005).
    [CrossRef]
  12. J. M. Schins, T. Schrama, J. Squier, G. J. Brakenhoff, and M. Muller, J. Opt. Soc. Am. B 19, 1627 (2002).
    [CrossRef]
  13. R. W. Boyd, Nonlinear Optics, 3rd ed. (Academic, 2008).
  14. I. Rau, F. Kajzar, J. Luc, B. Sahraoui, and G. Boudebs, J. Opt. Soc. Am. B 25, 1738 (2008).
    [CrossRef]
  15. V. Magni, G. Cerullo, and S. De Silvestri, Opt. Commun. 96, 348 (1993).
    [CrossRef]
  16. D. Milam, Appl. Opt. 37, 546 (1998).
    [CrossRef]
  17. S. Hazarika and S. Rai, Opt. Mater. 30, 462 (2007).
    [CrossRef]
  18. N. L. Boling, A. J. Glass, and A. Owyoung, IEEE J. Quantum Electron. QE-14, 601 (1978).
    [CrossRef]

2011 (1)

E. C. Barbano, J. P. Siqueira, C. R. Mendonça, L. Misoguti, and S. C. Zílio, Proc. SPIE 7917, 79170T (2011).

2008 (2)

I. A. Heisler, L. Misoguti, S. C. Zilio, E. V. Rodriguez, and C. B. de Araujo, Appl. Phys. Lett. 92, 091109 (2008).
[CrossRef]

I. Rau, F. Kajzar, J. Luc, B. Sahraoui, and G. Boudebs, J. Opt. Soc. Am. B 25, 1738 (2008).
[CrossRef]

2007 (1)

S. Hazarika and S. Rai, Opt. Mater. 30, 462 (2007).
[CrossRef]

2005 (1)

D. Stoker, M. F. Becker, and J. W. Keto, Phys. Rev. A 71, 061802(R) (2005).
[CrossRef]

2004 (1)

V. Shcheslavskiy, G. I. Petrov, S. Saltiel, and V. V. Yakovlev, J. Struc. Biol. 147, 42 (2004).
[CrossRef]

2002 (2)

K. D. Moll, D. Homoelle, A. L. Gaeta, and R. W. Boyd, Phys. Rev. Lett. 88, 153901 (2002).
[CrossRef]

J. M. Schins, T. Schrama, J. Squier, G. J. Brakenhoff, and M. Muller, J. Opt. Soc. Am. B 19, 1627 (2002).
[CrossRef]

1998 (1)

1997 (1)

Y. Barad, H. Eisenberg, H. Horowitz, and Y. Silberberg, Appl. Phys. Lett. 70, 922 (1997).
[CrossRef]

1993 (1)

V. Magni, G. Cerullo, and S. De Silvestri, Opt. Commun. 96, 348 (1993).
[CrossRef]

1990 (1)

M. Sheik-Bahae, A. A. Said, T. Wei, D. J. Hagan, and E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990).
[CrossRef]

1978 (1)

N. L. Boling, A. J. Glass, and A. Owyoung, IEEE J. Quantum Electron. QE-14, 601 (1978).
[CrossRef]

1975 (1)

G. C. Bjorklund, IEEE J. Quantum Electron. QE-11, 287 (1975).
[CrossRef]

1972 (1)

M. D. Crisp, N. L. Boling, and G. Dubé, Appl. Phys. Lett. 21, 364 (1972).
[CrossRef]

1890 (1)

L. G. Gouy, C. R. Acad. Sci. Paris 110, 1251 (1890).

Barad, Y.

Y. Barad, H. Eisenberg, H. Horowitz, and Y. Silberberg, Appl. Phys. Lett. 70, 922 (1997).
[CrossRef]

Barbano, E. C.

E. C. Barbano, J. P. Siqueira, C. R. Mendonça, L. Misoguti, and S. C. Zílio, Proc. SPIE 7917, 79170T (2011).

Becker, M. F.

D. Stoker, M. F. Becker, and J. W. Keto, Phys. Rev. A 71, 061802(R) (2005).
[CrossRef]

Bjorklund, G. C.

G. C. Bjorklund, IEEE J. Quantum Electron. QE-11, 287 (1975).
[CrossRef]

Boling, N. L.

N. L. Boling, A. J. Glass, and A. Owyoung, IEEE J. Quantum Electron. QE-14, 601 (1978).
[CrossRef]

M. D. Crisp, N. L. Boling, and G. Dubé, Appl. Phys. Lett. 21, 364 (1972).
[CrossRef]

Boudebs, G.

Boyd, R. W.

K. D. Moll, D. Homoelle, A. L. Gaeta, and R. W. Boyd, Phys. Rev. Lett. 88, 153901 (2002).
[CrossRef]

R. W. Boyd, Nonlinear Optics, 3rd ed. (Academic, 2008).

Brakenhoff, G. J.

Cerullo, G.

V. Magni, G. Cerullo, and S. De Silvestri, Opt. Commun. 96, 348 (1993).
[CrossRef]

Crisp, M. D.

M. D. Crisp, N. L. Boling, and G. Dubé, Appl. Phys. Lett. 21, 364 (1972).
[CrossRef]

de Araujo, C. B.

I. A. Heisler, L. Misoguti, S. C. Zilio, E. V. Rodriguez, and C. B. de Araujo, Appl. Phys. Lett. 92, 091109 (2008).
[CrossRef]

De Silvestri, S.

V. Magni, G. Cerullo, and S. De Silvestri, Opt. Commun. 96, 348 (1993).
[CrossRef]

Dubé, G.

M. D. Crisp, N. L. Boling, and G. Dubé, Appl. Phys. Lett. 21, 364 (1972).
[CrossRef]

Eisenberg, H.

Y. Barad, H. Eisenberg, H. Horowitz, and Y. Silberberg, Appl. Phys. Lett. 70, 922 (1997).
[CrossRef]

Gaeta, A. L.

K. D. Moll, D. Homoelle, A. L. Gaeta, and R. W. Boyd, Phys. Rev. Lett. 88, 153901 (2002).
[CrossRef]

Glass, A. J.

N. L. Boling, A. J. Glass, and A. Owyoung, IEEE J. Quantum Electron. QE-14, 601 (1978).
[CrossRef]

Gouy, L. G.

L. G. Gouy, C. R. Acad. Sci. Paris 110, 1251 (1890).

Hagan, D. J.

M. Sheik-Bahae, A. A. Said, T. Wei, D. J. Hagan, and E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990).
[CrossRef]

Hazarika, S.

S. Hazarika and S. Rai, Opt. Mater. 30, 462 (2007).
[CrossRef]

Heisler, I. A.

I. A. Heisler, L. Misoguti, S. C. Zilio, E. V. Rodriguez, and C. B. de Araujo, Appl. Phys. Lett. 92, 091109 (2008).
[CrossRef]

Homoelle, D.

K. D. Moll, D. Homoelle, A. L. Gaeta, and R. W. Boyd, Phys. Rev. Lett. 88, 153901 (2002).
[CrossRef]

Horowitz, H.

Y. Barad, H. Eisenberg, H. Horowitz, and Y. Silberberg, Appl. Phys. Lett. 70, 922 (1997).
[CrossRef]

Kajzar, F.

Keto, J. W.

D. Stoker, M. F. Becker, and J. W. Keto, Phys. Rev. A 71, 061802(R) (2005).
[CrossRef]

Koechner, W.

W. Koechner, Solid-State Laser Engineering, 4th ed. (Springer-Verlag, 1996).

Luc, J.

Magni, V.

V. Magni, G. Cerullo, and S. De Silvestri, Opt. Commun. 96, 348 (1993).
[CrossRef]

Mendonça, C. R.

E. C. Barbano, J. P. Siqueira, C. R. Mendonça, L. Misoguti, and S. C. Zílio, Proc. SPIE 7917, 79170T (2011).

Milam, D.

Misoguti, L.

E. C. Barbano, J. P. Siqueira, C. R. Mendonça, L. Misoguti, and S. C. Zílio, Proc. SPIE 7917, 79170T (2011).

I. A. Heisler, L. Misoguti, S. C. Zilio, E. V. Rodriguez, and C. B. de Araujo, Appl. Phys. Lett. 92, 091109 (2008).
[CrossRef]

Moll, K. D.

K. D. Moll, D. Homoelle, A. L. Gaeta, and R. W. Boyd, Phys. Rev. Lett. 88, 153901 (2002).
[CrossRef]

Muller, M.

Owyoung, A.

N. L. Boling, A. J. Glass, and A. Owyoung, IEEE J. Quantum Electron. QE-14, 601 (1978).
[CrossRef]

Petrov, G. I.

V. Shcheslavskiy, G. I. Petrov, S. Saltiel, and V. V. Yakovlev, J. Struc. Biol. 147, 42 (2004).
[CrossRef]

Rai, S.

S. Hazarika and S. Rai, Opt. Mater. 30, 462 (2007).
[CrossRef]

Rau, I.

Rodriguez, E. V.

I. A. Heisler, L. Misoguti, S. C. Zilio, E. V. Rodriguez, and C. B. de Araujo, Appl. Phys. Lett. 92, 091109 (2008).
[CrossRef]

Sahraoui, B.

Said, A. A.

M. Sheik-Bahae, A. A. Said, T. Wei, D. J. Hagan, and E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990).
[CrossRef]

Saltiel, S.

V. Shcheslavskiy, G. I. Petrov, S. Saltiel, and V. V. Yakovlev, J. Struc. Biol. 147, 42 (2004).
[CrossRef]

Schins, J. M.

Schrama, T.

Shcheslavskiy, V.

V. Shcheslavskiy, G. I. Petrov, S. Saltiel, and V. V. Yakovlev, J. Struc. Biol. 147, 42 (2004).
[CrossRef]

Sheik-Bahae, M.

M. Sheik-Bahae, A. A. Said, T. Wei, D. J. Hagan, and E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990).
[CrossRef]

Silberberg, Y.

Y. Barad, H. Eisenberg, H. Horowitz, and Y. Silberberg, Appl. Phys. Lett. 70, 922 (1997).
[CrossRef]

Siqueira, J. P.

E. C. Barbano, J. P. Siqueira, C. R. Mendonça, L. Misoguti, and S. C. Zílio, Proc. SPIE 7917, 79170T (2011).

Squier, J.

Stoker, D.

D. Stoker, M. F. Becker, and J. W. Keto, Phys. Rev. A 71, 061802(R) (2005).
[CrossRef]

Van Stryland, E. W.

M. Sheik-Bahae, A. A. Said, T. Wei, D. J. Hagan, and E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990).
[CrossRef]

Wei, T.

M. Sheik-Bahae, A. A. Said, T. Wei, D. J. Hagan, and E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990).
[CrossRef]

Yakovlev, V. V.

V. Shcheslavskiy, G. I. Petrov, S. Saltiel, and V. V. Yakovlev, J. Struc. Biol. 147, 42 (2004).
[CrossRef]

Zilio, S. C.

I. A. Heisler, L. Misoguti, S. C. Zilio, E. V. Rodriguez, and C. B. de Araujo, Appl. Phys. Lett. 92, 091109 (2008).
[CrossRef]

Zílio, S. C.

E. C. Barbano, J. P. Siqueira, C. R. Mendonça, L. Misoguti, and S. C. Zílio, Proc. SPIE 7917, 79170T (2011).

Appl. Opt. (1)

Appl. Phys. Lett. (3)

Y. Barad, H. Eisenberg, H. Horowitz, and Y. Silberberg, Appl. Phys. Lett. 70, 922 (1997).
[CrossRef]

I. A. Heisler, L. Misoguti, S. C. Zilio, E. V. Rodriguez, and C. B. de Araujo, Appl. Phys. Lett. 92, 091109 (2008).
[CrossRef]

M. D. Crisp, N. L. Boling, and G. Dubé, Appl. Phys. Lett. 21, 364 (1972).
[CrossRef]

C. R. Acad. Sci. Paris (1)

L. G. Gouy, C. R. Acad. Sci. Paris 110, 1251 (1890).

IEEE J. Quantum Electron. (3)

M. Sheik-Bahae, A. A. Said, T. Wei, D. J. Hagan, and E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990).
[CrossRef]

G. C. Bjorklund, IEEE J. Quantum Electron. QE-11, 287 (1975).
[CrossRef]

N. L. Boling, A. J. Glass, and A. Owyoung, IEEE J. Quantum Electron. QE-14, 601 (1978).
[CrossRef]

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

J. Struc. Biol. (1)

V. Shcheslavskiy, G. I. Petrov, S. Saltiel, and V. V. Yakovlev, J. Struc. Biol. 147, 42 (2004).
[CrossRef]

Opt. Commun. (1)

V. Magni, G. Cerullo, and S. De Silvestri, Opt. Commun. 96, 348 (1993).
[CrossRef]

Opt. Mater. (1)

S. Hazarika and S. Rai, Opt. Mater. 30, 462 (2007).
[CrossRef]

Phys. Rev. A (1)

D. Stoker, M. F. Becker, and J. W. Keto, Phys. Rev. A 71, 061802(R) (2005).
[CrossRef]

Phys. Rev. Lett. (1)

K. D. Moll, D. Homoelle, A. L. Gaeta, and R. W. Boyd, Phys. Rev. Lett. 88, 153901 (2002).
[CrossRef]

Proc. SPIE (1)

E. C. Barbano, J. P. Siqueira, C. R. Mendonça, L. Misoguti, and S. C. Zílio, Proc. SPIE 7917, 79170T (2011).

Other (2)

W. Koechner, Solid-State Laser Engineering, 4th ed. (Springer-Verlag, 1996).

R. W. Boyd, Nonlinear Optics, 3rd ed. (Academic, 2008).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1.
Fig. 1.

Schematic self-focusing action represented by the dashed line for beam focused at the (a) exit and (b) entrance interfaces.

Fig. 2.
Fig. 2.

THG Z-scan signal for silica, BK7, SK11, and F2 obtained at a laser power of 0.44mW. An offset of 0.1 between consecutive curves was introduced for better visualization.

Fig. 3.
Fig. 3.

THG peak values at the interfaces as a function of incident laser power for silica, BK7, SK11, and F2. The symbols are the experimental data, while the solid lines are results obtained with the model proposed. The numbers in parenthesis indicate the slopes.

Fig. 4.
Fig. 4.

Normalized TH peaks generated at the entrance and exit interfaces for silica obtained with 0.8 mW pump power. The points are the experimental results, and the lines are fittings with Gaussian functions.

Fig. 5.
Fig. 5.

FWHM of THG peaks measured as a function of the pump laser power for silica, BK7, SK11, and F2 glasses. The widths are obtained by fitting all peaks with a Gaussian function. The solid lines are obtained from Eq. (5).

Tables (1)

Tables Icon

Table 1. Parameters of Optical Glasses Used in Measurementsa

Equations (7)

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

Isample3ω(χsample(3))2(Iω(w))3,
woutput=w0(1BP),
Isample3ω=A(P(1BP)2)3,
n=n0+n2I,
W=W0(1±BP),
n2(1013esu)=68(ne1)(ne2+2)2ve[1.517+(ne2+2)(ne+1)6neve]1/2,
n2(m2W)=4.19×107nen2(esu).

Metrics