Abstract

We study experimentally and theoretically the nonlocal response of a medium with thermal nonlinearity and show that despite its inherently infinite range it can be accurately characterized by a well-defined nonlocal response function. We retrieve the shape of this function and analyze its transformation with the change of boundaries.

© 2007 Optical Society of America

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2006

C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, Nat. Phys. 2, 769 (2006).
[CrossRef]

2005

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef] [PubMed]

2004

W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, J. Opt. B 6, S288 (2004).
[CrossRef]

J. Leach, E. Yao, and M. J. Padgett, New J. Phys. 6, 71 (2004).
[CrossRef]

2002

J. Wyller, W. Krolikowski, O. Bang, and J. J. Rasmussen, Phys. Rev. E 66, 066615 (2002).
[CrossRef]

1999

B. Crosignani, A. Degasperis, E. DelRe, P. Di Porto, and A. J. Agranat, Phys. Rev. Lett. 82, 1664 (1999).
[CrossRef]

1998

1993

1975

A. Litvak, V. Mironov, G. Fraiman, and A. Yunakovskii, Sov. J. Plasma Phys. 1, 31 (1975).

1968

S. A. Akhmanov, D. P. Krindach, A. V. Migulin, A. P. Sukhorukov, and R. V. Khokhlov, IEEE J. Quantum Electron. QE-4, 568 (1968).
[CrossRef]

1965

J. P. Gordon, R. C. C. Leite, R. S. Moore, S. P. S. Porto, and J. R. Whinnery, J. Appl. Phys. 36, 3 (1965).
[CrossRef]

Agranat, A. J.

B. Crosignani, A. Degasperis, E. DelRe, P. Di Porto, and A. J. Agranat, Phys. Rev. Lett. 82, 1664 (1999).
[CrossRef]

Akhmanov, S. A.

S. A. Akhmanov, D. P. Krindach, A. V. Migulin, A. P. Sukhorukov, and R. V. Khokhlov, IEEE J. Quantum Electron. QE-4, 568 (1968).
[CrossRef]

Alfassi, B.

C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, Nat. Phys. 2, 769 (2006).
[CrossRef]

Bang, O.

W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, J. Opt. B 6, S288 (2004).
[CrossRef]

J. Wyller, W. Krolikowski, O. Bang, and J. J. Rasmussen, Phys. Rev. E 66, 066615 (2002).
[CrossRef]

Blasberg, T.

D. Suter and T. Blasberg, Phys. Rev. A 48, 4583 (1993).
[CrossRef] [PubMed]

Carmon, T.

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef] [PubMed]

Cohen, O.

C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, Nat. Phys. 2, 769 (2006).
[CrossRef]

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef] [PubMed]

Creath, C.

C. Creath, Holographic Interferometry (Springer, 1994).

Crosignani, B.

B. Crosignani, A. Degasperis, E. DelRe, P. Di Porto, and A. J. Agranat, Phys. Rev. Lett. 82, 1664 (1999).
[CrossRef]

Degasperis, A.

B. Crosignani, A. Degasperis, E. DelRe, P. Di Porto, and A. J. Agranat, Phys. Rev. Lett. 82, 1664 (1999).
[CrossRef]

DelRe, E.

B. Crosignani, A. Degasperis, E. DelRe, P. Di Porto, and A. J. Agranat, Phys. Rev. Lett. 82, 1664 (1999).
[CrossRef]

Di Porto, P.

B. Crosignani, A. Degasperis, E. DelRe, P. Di Porto, and A. J. Agranat, Phys. Rev. Lett. 82, 1664 (1999).
[CrossRef]

Dreischuh, T. N.

Edmundson, D.

W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, J. Opt. B 6, S288 (2004).
[CrossRef]

Fraiman, G.

A. Litvak, V. Mironov, G. Fraiman, and A. Yunakovskii, Sov. J. Plasma Phys. 1, 31 (1975).

Gatz, S.

Gordon, J. P.

J. P. Gordon, R. C. C. Leite, R. S. Moore, S. P. S. Porto, and J. R. Whinnery, J. Appl. Phys. 36, 3 (1965).
[CrossRef]

Gurdev, L. L.

Herrmann, J.

Khokhlov, R. V.

S. A. Akhmanov, D. P. Krindach, A. V. Migulin, A. P. Sukhorukov, and R. V. Khokhlov, IEEE J. Quantum Electron. QE-4, 568 (1968).
[CrossRef]

Krindach, D. P.

S. A. Akhmanov, D. P. Krindach, A. V. Migulin, A. P. Sukhorukov, and R. V. Khokhlov, IEEE J. Quantum Electron. QE-4, 568 (1968).
[CrossRef]

Krolikowski, W.

W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, J. Opt. B 6, S288 (2004).
[CrossRef]

J. Wyller, W. Krolikowski, O. Bang, and J. J. Rasmussen, Phys. Rev. E 66, 066615 (2002).
[CrossRef]

Leach, J.

J. Leach, E. Yao, and M. J. Padgett, New J. Phys. 6, 71 (2004).
[CrossRef]

Leite, R. C. C.

J. P. Gordon, R. C. C. Leite, R. S. Moore, S. P. S. Porto, and J. R. Whinnery, J. Appl. Phys. 36, 3 (1965).
[CrossRef]

Litvak, A.

A. Litvak, V. Mironov, G. Fraiman, and A. Yunakovskii, Sov. J. Plasma Phys. 1, 31 (1975).

Manela, O.

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef] [PubMed]

Migulin, A. V.

S. A. Akhmanov, D. P. Krindach, A. V. Migulin, A. P. Sukhorukov, and R. V. Khokhlov, IEEE J. Quantum Electron. QE-4, 568 (1968).
[CrossRef]

Mironov, V.

A. Litvak, V. Mironov, G. Fraiman, and A. Yunakovskii, Sov. J. Plasma Phys. 1, 31 (1975).

Moore, R. S.

J. P. Gordon, R. C. C. Leite, R. S. Moore, S. P. S. Porto, and J. R. Whinnery, J. Appl. Phys. 36, 3 (1965).
[CrossRef]

Neshev, D.

W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, J. Opt. B 6, S288 (2004).
[CrossRef]

Nikolov, N. I.

W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, J. Opt. B 6, S288 (2004).
[CrossRef]

Padgett, M. J.

J. Leach, E. Yao, and M. J. Padgett, New J. Phys. 6, 71 (2004).
[CrossRef]

Porto, S. P. S.

J. P. Gordon, R. C. C. Leite, R. S. Moore, S. P. S. Porto, and J. R. Whinnery, J. Appl. Phys. 36, 3 (1965).
[CrossRef]

Rasmussen, J. J.

W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, J. Opt. B 6, S288 (2004).
[CrossRef]

J. Wyller, W. Krolikowski, O. Bang, and J. J. Rasmussen, Phys. Rev. E 66, 066615 (2002).
[CrossRef]

Rotschild, C.

C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, Nat. Phys. 2, 769 (2006).
[CrossRef]

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef] [PubMed]

Segev, M.

C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, Nat. Phys. 2, 769 (2006).
[CrossRef]

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef] [PubMed]

Stoyanov, D. V.

Sukhorukov, A. P.

S. A. Akhmanov, D. P. Krindach, A. V. Migulin, A. P. Sukhorukov, and R. V. Khokhlov, IEEE J. Quantum Electron. QE-4, 568 (1968).
[CrossRef]

Suter, D.

D. Suter and T. Blasberg, Phys. Rev. A 48, 4583 (1993).
[CrossRef] [PubMed]

Whinnery, J. R.

J. P. Gordon, R. C. C. Leite, R. S. Moore, S. P. S. Porto, and J. R. Whinnery, J. Appl. Phys. 36, 3 (1965).
[CrossRef]

Wyller, J.

W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, J. Opt. B 6, S288 (2004).
[CrossRef]

J. Wyller, W. Krolikowski, O. Bang, and J. J. Rasmussen, Phys. Rev. E 66, 066615 (2002).
[CrossRef]

Yao, E.

J. Leach, E. Yao, and M. J. Padgett, New J. Phys. 6, 71 (2004).
[CrossRef]

Yunakovskii, A.

A. Litvak, V. Mironov, G. Fraiman, and A. Yunakovskii, Sov. J. Plasma Phys. 1, 31 (1975).

IEEE J. Quantum Electron.

S. A. Akhmanov, D. P. Krindach, A. V. Migulin, A. P. Sukhorukov, and R. V. Khokhlov, IEEE J. Quantum Electron. QE-4, 568 (1968).
[CrossRef]

J. Appl. Phys.

J. P. Gordon, R. C. C. Leite, R. S. Moore, S. P. S. Porto, and J. R. Whinnery, J. Appl. Phys. 36, 3 (1965).
[CrossRef]

J. Opt. B

W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, J. Opt. B 6, S288 (2004).
[CrossRef]

J. Opt. Soc. Am. A

Nat. Phys.

C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, Nat. Phys. 2, 769 (2006).
[CrossRef]

New J. Phys.

J. Leach, E. Yao, and M. J. Padgett, New J. Phys. 6, 71 (2004).
[CrossRef]

Opt. Lett.

Phys. Rev. A

D. Suter and T. Blasberg, Phys. Rev. A 48, 4583 (1993).
[CrossRef] [PubMed]

Phys. Rev. E

J. Wyller, W. Krolikowski, O. Bang, and J. J. Rasmussen, Phys. Rev. E 66, 066615 (2002).
[CrossRef]

Phys. Rev. Lett.

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef] [PubMed]

B. Crosignani, A. Degasperis, E. DelRe, P. Di Porto, and A. J. Agranat, Phys. Rev. Lett. 82, 1664 (1999).
[CrossRef]

Sov. J. Plasma Phys.

A. Litvak, V. Mironov, G. Fraiman, and A. Yunakovskii, Sov. J. Plasma Phys. 1, 31 (1975).

Other

C. Creath, Holographic Interferometry (Springer, 1994).

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Figures (4)

Fig. 1
Fig. 1

Experimental setup: F, filter; SF, spatial filter; M, mirrors; L, lenses; BC, beam-splitter cube; P, polarizer; T, telescope; λ 2 , half-wave plate; A, attenuator. Inset, ethylene glycol transmission spectrum.

Fig. 2
Fig. 2

(a) Dependence of peak refractive index change on absorbed power. Right inset, measured interference pattern (ethylene glycol, 2 mW ); left inset, laser beam profile. (b), (c) Reconstructed refractive index change profiles in ethylene glycol and ethanol at 2 mW .

Fig. 3
Fig. 3

(a) Dependence of the response function FWHM ( w x ) on absorbed power. (b), (c) Reconstructed response function profile (b) and comparison of the measured (solid line) and calculated (dashed) response function profile (c) for ethylene glycol.

Fig. 4
Fig. 4

Calculated width of the response function (top) and corresponding maximum of the refractive index change (bottom) as a function of the cell thickness. (a)–(c) Radical profiles of the response function for thicknesses of 2, 4, and 50 mm , respectively.

Equations (2)

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Δ n ( x , y ) = γ R ( x x , y y ) I ( x , y ) d x d y ,
k 2 T ( x , y , z ) = α I ( x , y ) ,

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