Abstract

A new and efficient technique for measuring weak optical nonlinearities is reported. Like Z scan, its implementation is basic, both experimentally and theoretically, but leads to an improved sensitivity of λ/5.104, which represents, to date, one of the highest observed enhancements. With this technique, which is based upon the use of a position sensitive detector, nonlinear properties are deduced by monitoring the barycentric position of a truncated pump–probe laser beam as the sample is moved along the optical axis. The technique is experimentally validated by measuring the pump-induced refractive index change and the underlying polarizability variation resulting from the excitation of the Cr3+ ions in ruby.

© 2011 Optical Society of America

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References

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    [CrossRef]
  2. H. J. Eichler, P. Günter, and D. W. Pohl, Laser Induced Dynamic Gratings (Springer-Verlag, 1985).
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    [CrossRef] [PubMed]
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    [CrossRef]
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2011 (3)

G. Boudebs and K. Fedus, Opt. Commun. 284, 2018 (2011).
[CrossRef]

M. Traiche, T. Godin, M. Fromager, R. Moncorgé, T. Catunda, E. Cagniot, and K. Ait-Ameur, Opt. Commun. 284, 1975 (2011), and references therein.
[CrossRef]

K. Fedus and G. Boudebs, Opt. Commun. 284, 1057(2011).
[CrossRef]

2010 (2)

2009 (2)

G. Boudebs and K. Fedus, J. Appl. Phys. 105, 103106(2009).
[CrossRef]

T. Godin, M. Fromager, B. Päivänranta, N. Passilly, G. Boudebs, E. Cagniot, and K. Ait-Ameur, Appl. Phys. B 95, 579 (2009).
[CrossRef]

2008 (1)

R. Escalona, Opt. Commun. 281, 1323 (2008).
[CrossRef]

2007 (1)

2004 (1)

G. Boudebs and S. Cherukulappurath, Phys. Rev. A 69, 053813 (2004).
[CrossRef]

2001 (1)

H. Gilles, B. Chéron, and J. Hamel, Opt. Commun. 190, 179 (2001).
[CrossRef]

1999 (1)

1997 (3)

F. E. Hernandez, A. Marcano, and H. Mailllotte, Opt. Commun. 134, 529 (1997).
[CrossRef]

P. B. Chapple, J. Staromlynska, J. A. Hermann, T. J. McKay, and R. G. McDuff, J. Nonlinear Opt. Phys. Mater. 6, 251 (1997).
[CrossRef]

S. Hughes and J. M. Burzler, Phys. Rev. A 56, R1103(1997).
[CrossRef]

1996 (1)

1995 (2)

1994 (2)

D. V. Petrov, A. S. L. Gomes, and C. B. De Araujo, Appl. Phys. Lett. 65, 1067 (1994).
[CrossRef]

T. Xia, D. J. Hagan, M. Sheik-Bahae, and E. W. Van Stryland, Opt. Lett. 19, 317 (1994).
[CrossRef] [PubMed]

1993 (1)

W. Zhao and P. Palffy-Muhoray, Appl. Phys. Lett. 63, 1613(1993).
[CrossRef]

1990 (1)

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

1989 (1)

S. C. Weaver and S. A. Payne, Phys. Rev. B 40, 10727(1989).
[CrossRef]

Ait-Ameur, K.

M. Traiche, T. Godin, M. Fromager, R. Moncorgé, T. Catunda, E. Cagniot, and K. Ait-Ameur, Opt. Commun. 284, 1975 (2011), and references therein.
[CrossRef]

T. Godin, M. Fromager, B. Päivänranta, N. Passilly, G. Boudebs, E. Cagniot, and K. Ait-Ameur, Appl. Phys. B 95, 579 (2009).
[CrossRef]

Andrade, A. A.

Antipov, O.

Baesso, M. L.

Boudebs, G.

K. Fedus and G. Boudebs, Opt. Commun. 284, 1057(2011).
[CrossRef]

G. Boudebs and K. Fedus, Opt. Commun. 284, 2018 (2011).
[CrossRef]

G. Boudebs and K. Fedus, J. Appl. Phys. 105, 103106(2009).
[CrossRef]

T. Godin, M. Fromager, B. Päivänranta, N. Passilly, G. Boudebs, E. Cagniot, and K. Ait-Ameur, Appl. Phys. B 95, 579 (2009).
[CrossRef]

G. Boudebs and S. Cherukulappurath, Phys. Rev. A 69, 053813 (2004).
[CrossRef]

Boyd, R. W.

Bridges, R. E.

Burzler, J. M.

S. Hughes and J. M. Burzler, Phys. Rev. A 56, R1103(1997).
[CrossRef]

Cagniot, E.

M. Traiche, T. Godin, M. Fromager, R. Moncorgé, T. Catunda, E. Cagniot, and K. Ait-Ameur, Opt. Commun. 284, 1975 (2011), and references therein.
[CrossRef]

T. Godin, M. Fromager, B. Päivänranta, N. Passilly, G. Boudebs, E. Cagniot, and K. Ait-Ameur, Appl. Phys. B 95, 579 (2009).
[CrossRef]

Cassanho, A.

Catunda, T.

M. Traiche, T. Godin, M. Fromager, R. Moncorgé, T. Catunda, E. Cagniot, and K. Ait-Ameur, Opt. Commun. 284, 1975 (2011), and references therein.
[CrossRef]

A. A. Andrade, E. Tenorio, T. Catunda, M. L. Baesso, A. Cassanho, and H. P. Jenssen, J. Opt. Soc. Am. B 16, 395(1999).
[CrossRef]

Caulfield, H. J.

Chapple, P. B.

P. B. Chapple, J. Staromlynska, J. A. Hermann, T. J. McKay, and R. G. McDuff, J. Nonlinear Opt. Phys. Mater. 6, 251 (1997).
[CrossRef]

Chéron, B.

H. Gilles, B. Chéron, and J. Hamel, Opt. Commun. 190, 179 (2001).
[CrossRef]

Cherukulappurath, S.

G. Boudebs and S. Cherukulappurath, Phys. Rev. A 69, 053813 (2004).
[CrossRef]

De Araujo, C. B.

H. Ma and C. B. De Araujo, Appl. Phys. Lett. 66, 1581(1995).
[CrossRef]

D. V. Petrov, A. S. L. Gomes, and C. B. De Araujo, Appl. Phys. Lett. 65, 1067 (1994).
[CrossRef]

Doualan, J. L.

Eichler, H. J.

H. J. Eichler, P. Günter, and D. W. Pohl, Laser Induced Dynamic Gratings (Springer-Verlag, 1985).

Escalona, R.

R. Escalona, Opt. Commun. 281, 1323 (2008).
[CrossRef]

Fankhauser, F.

Faust, S.

Fedus, K.

G. Boudebs and K. Fedus, Opt. Commun. 284, 2018 (2011).
[CrossRef]

K. Fedus and G. Boudebs, Opt. Commun. 284, 1057(2011).
[CrossRef]

G. Boudebs and K. Fedus, J. Appl. Phys. 105, 103106(2009).
[CrossRef]

Fisher, G. L.

Fromager, M.

M. Traiche, T. Godin, M. Fromager, R. Moncorgé, T. Catunda, E. Cagniot, and K. Ait-Ameur, Opt. Commun. 284, 1975 (2011), and references therein.
[CrossRef]

T. Godin, M. Fromager, B. Päivänranta, N. Passilly, G. Boudebs, E. Cagniot, and K. Ait-Ameur, Appl. Phys. B 95, 579 (2009).
[CrossRef]

Gilles, H.

H. Gilles, B. Chéron, and J. Hamel, Opt. Commun. 190, 179 (2001).
[CrossRef]

Gindre, D.

Godin, T.

M. Traiche, T. Godin, M. Fromager, R. Moncorgé, T. Catunda, E. Cagniot, and K. Ait-Ameur, Opt. Commun. 284, 1975 (2011), and references therein.
[CrossRef]

T. Godin, M. Fromager, B. Päivänranta, N. Passilly, G. Boudebs, E. Cagniot, and K. Ait-Ameur, Appl. Phys. B 95, 579 (2009).
[CrossRef]

Gomes, A. S. L.

D. V. Petrov, A. S. L. Gomes, and C. B. De Araujo, Appl. Phys. Lett. 65, 1067 (1994).
[CrossRef]

Graener, H.

Günter, P.

H. J. Eichler, P. Günter, and D. W. Pohl, Laser Induced Dynamic Gratings (Springer-Verlag, 1985).

Hagan, D. J.

T. Xia, D. J. Hagan, M. Sheik-Bahae, and E. W. Van Stryland, Opt. Lett. 19, 317 (1994).
[CrossRef] [PubMed]

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

Hamel, J.

H. Gilles, B. Chéron, and J. Hamel, Opt. Commun. 190, 179 (2001).
[CrossRef]

Hermann, J. A.

P. B. Chapple, J. Staromlynska, J. A. Hermann, T. J. McKay, and R. G. McDuff, J. Nonlinear Opt. Phys. Mater. 6, 251 (1997).
[CrossRef]

Hernandez, F. E.

F. E. Hernandez, A. Marcano, and H. Mailllotte, Opt. Commun. 134, 529 (1997).
[CrossRef]

Hughes, S.

S. Hughes and J. M. Burzler, Phys. Rev. A 56, R1103(1997).
[CrossRef]

Ivakin, E.

Jenssen, H. P.

Ma, H.

H. Ma and C. B. De Araujo, Appl. Phys. Lett. 66, 1581(1995).
[CrossRef]

Mailllotte, H.

F. E. Hernandez, A. Marcano, and H. Mailllotte, Opt. Commun. 134, 529 (1997).
[CrossRef]

Maillotte, H.

Marcano, A.

F. E. Hernandez, A. Marcano, and H. Mailllotte, Opt. Commun. 134, 529 (1997).
[CrossRef]

Marcano, A. O.

McDuff, R. G.

P. B. Chapple, J. Staromlynska, J. A. Hermann, T. J. McKay, and R. G. McDuff, J. Nonlinear Opt. Phys. Mater. 6, 251 (1997).
[CrossRef]

McKay, T. J.

P. B. Chapple, J. Staromlynska, J. A. Hermann, T. J. McKay, and R. G. McDuff, J. Nonlinear Opt. Phys. Mater. 6, 251 (1997).
[CrossRef]

Métin, D.

Miclea, M.

Moncorgé, R.

M. Traiche, T. Godin, M. Fromager, R. Moncorgé, T. Catunda, E. Cagniot, and K. Ait-Ameur, Opt. Commun. 284, 1975 (2011), and references therein.
[CrossRef]

R. Soulard, A. Zinoviev, J. L. Doualan, E. Ivakin, O. Antipov, and R. Moncorgé, Opt. Express 18, 1553 (2010), and references therein.
[CrossRef] [PubMed]

Päivänranta, B.

T. Godin, M. Fromager, B. Päivänranta, N. Passilly, G. Boudebs, E. Cagniot, and K. Ait-Ameur, Appl. Phys. B 95, 579 (2009).
[CrossRef]

Palffy-Muhoray, P.

W. Zhao and P. Palffy-Muhoray, Appl. Phys. Lett. 63, 1613(1993).
[CrossRef]

Passilly, N.

T. Godin, M. Fromager, B. Päivänranta, N. Passilly, G. Boudebs, E. Cagniot, and K. Ait-Ameur, Appl. Phys. B 95, 579 (2009).
[CrossRef]

Payne, S. A.

S. C. Weaver and S. A. Payne, Phys. Rev. B 40, 10727(1989).
[CrossRef]

Petrov, D. V.

D. V. Petrov, A. S. L. Gomes, and C. B. De Araujo, Appl. Phys. Lett. 65, 1067 (1994).
[CrossRef]

Pohl, D. W.

H. J. Eichler, P. Günter, and D. W. Pohl, Laser Induced Dynamic Gratings (Springer-Verlag, 1985).

Said, A. A.

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

Seifert, G.

Sheik-Bahae, M.

T. Xia, D. J. Hagan, M. Sheik-Bahae, and E. W. Van Stryland, Opt. Lett. 19, 317 (1994).
[CrossRef] [PubMed]

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

Skrzypczak, U.

Soulard, R.

Staromlynska, J.

P. B. Chapple, J. Staromlynska, J. A. Hermann, T. J. McKay, and R. G. McDuff, J. Nonlinear Opt. Phys. Mater. 6, 251 (1997).
[CrossRef]

Sutherland, R. L.

R. L. Sutherland, Handbook of Nonlinear Optics(Dekker, 2003).
[CrossRef]

Tenorio, E.

Traiche, M.

M. Traiche, T. Godin, M. Fromager, R. Moncorgé, T. Catunda, E. Cagniot, and K. Ait-Ameur, Opt. Commun. 284, 1975 (2011), and references therein.
[CrossRef]

Van Stryland, E. W.

T. Xia, D. J. Hagan, M. Sheik-Bahae, and E. W. Van Stryland, Opt. Lett. 19, 317 (1994).
[CrossRef] [PubMed]

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

Vikram, C. S.

Weaver, S. C.

S. C. Weaver and S. A. Payne, Phys. Rev. B 40, 10727(1989).
[CrossRef]

Wei, T. H.

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

Xia, T.

Zhao, W.

W. Zhao and P. Palffy-Muhoray, Appl. Phys. Lett. 63, 1613(1993).
[CrossRef]

Zinoviev, A.

Appl. Opt. (1)

Appl. Phys. B (1)

T. Godin, M. Fromager, B. Päivänranta, N. Passilly, G. Boudebs, E. Cagniot, and K. Ait-Ameur, Appl. Phys. B 95, 579 (2009).
[CrossRef]

Appl. Phys. Lett. (3)

W. Zhao and P. Palffy-Muhoray, Appl. Phys. Lett. 63, 1613(1993).
[CrossRef]

D. V. Petrov, A. S. L. Gomes, and C. B. De Araujo, Appl. Phys. Lett. 65, 1067 (1994).
[CrossRef]

H. Ma and C. B. De Araujo, Appl. Phys. Lett. 66, 1581(1995).
[CrossRef]

IEEE J. Quantum Electron. (1)

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

J. Appl. Phys. (1)

G. Boudebs and K. Fedus, J. Appl. Phys. 105, 103106(2009).
[CrossRef]

J. Nonlinear Opt. Phys. Mater. (1)

P. B. Chapple, J. Staromlynska, J. A. Hermann, T. J. McKay, and R. G. McDuff, J. Nonlinear Opt. Phys. Mater. 6, 251 (1997).
[CrossRef]

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

Opt. Commun. (6)

K. Fedus and G. Boudebs, Opt. Commun. 284, 1057(2011).
[CrossRef]

R. Escalona, Opt. Commun. 281, 1323 (2008).
[CrossRef]

H. Gilles, B. Chéron, and J. Hamel, Opt. Commun. 190, 179 (2001).
[CrossRef]

M. Traiche, T. Godin, M. Fromager, R. Moncorgé, T. Catunda, E. Cagniot, and K. Ait-Ameur, Opt. Commun. 284, 1975 (2011), and references therein.
[CrossRef]

G. Boudebs and K. Fedus, Opt. Commun. 284, 2018 (2011).
[CrossRef]

F. E. Hernandez, A. Marcano, and H. Mailllotte, Opt. Commun. 134, 529 (1997).
[CrossRef]

Opt. Express (2)

Opt. Lett. (3)

Phys. Rev. A (2)

S. Hughes and J. M. Burzler, Phys. Rev. A 56, R1103(1997).
[CrossRef]

G. Boudebs and S. Cherukulappurath, Phys. Rev. A 69, 053813 (2004).
[CrossRef]

Phys. Rev. B (1)

S. C. Weaver and S. A. Payne, Phys. Rev. B 40, 10727(1989).
[CrossRef]

Other (2)

R. L. Sutherland, Handbook of Nonlinear Optics(Dekker, 2003).
[CrossRef]

H. J. Eichler, P. Günter, and D. W. Pohl, Laser Induced Dynamic Gratings (Springer-Verlag, 1985).

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Figures (3)

Fig. 1
Fig. 1

Principle of the baryscan technique.

Fig. 2
Fig. 2

Evolution of the barycentric position B of a truncated beam with its size. NL, nonlinear.

Fig. 3
Fig. 3

Baryscan curve for ruby.

Equations (5)

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

B = 1 2 π W exp ( 2 a 2 W 2 ) ( 1 erf ( a 2 W ) ) ,
T = 1 + 4 x Δ ϕ 0 ( 1 + x 2 ) ( 9 + x 2 ) ,
B ( x ) = B 0 1 1 + 4 x Δ ϕ 0 ( 9 + x 2 ) ( 1 + x 2 ) ,
z 0 = 0.582 Δ z ,
Δ ϕ 0 = ( 9 + x 2 ) ( 1 + x 2 ) [ B valley 2 B peak 2 1 ] 4 ( x peak B valley 2 B peak 2 x peak ) ,

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