Abstract

We show, theoretically and experimentally, that the buildup of the space-charge field in photorefractive crystals is far from monoexponential for circular light beams. This is a general property of the two-dimensional (2D) case, in contrast to the one-dimensional case. The results form a basis for determination of the photoelectric parameters of photorefractive crystals within a wide intensity range, which is important, e.g., for solving of the optical-damage problem in LiNbO3 and LiTaO3 crystals.

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References

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  1. N. V. Kukhtarev, Sov. Tech. Phys. Lett. 2, 438 (1976).
  2. L. Solymar, D. Webb, and A. Grunnet-Jepsen, The Physics and Applications of Photorefractive Materials (Clarendon, 1996), Chap. 5.
  3. Photorefractive Materials and Their Applications II, P.Günter and J.-P.Huignard, eds. (Springer, 2007), Chaps. 3, 4, and 6.
  4. A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley Interscience, 2003), pp. 241-243.
  5. F. S. Chen, J. Appl. Phys. 40, 3389 (1969).
    [CrossRef]
  6. F. Jermann, M. Simon, and E. Krätzig, J. Opt. Soc. Am. B 12, 2066 (1995).
    [CrossRef]
  7. A. Ashkin, G. D. Boyd, J. M. Dziedzic, R. G. Smith, A. A. Ballman, J. J. Levinstein, and K. Nassau, Appl. Phys. Lett. 9, 72 (1966).
    [CrossRef]
  8. F. Jermann and J. Otten, J. Opt. Soc. Am. B 10, 2085 (1993).
    [CrossRef]
  9. M. Carrascosa, J. Villarroel, J. Carnicero, A. Garcia-Cabanes, and J. M. Cabrera, Opt. Express 16, 115 (2008).
    [CrossRef] [PubMed]
  10. A. M. Glass, D. von der Linde, and T. J. Negran, Appl. Phys. Lett. 25, 233 (1974).
    [CrossRef]
  11. V. Fridkin and B. Sturman, The Photovoltaic and Photorefractive Effects in Noncentrosymmetric Materials (Gordon & Breach, 1992).
  12. J. D. Jackson, Classical Electrodynamics (Wiley, 1998).
  13. L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media (Pergamon, 1960), pp. 61-62.

2008 (1)

1995 (1)

1993 (1)

1976 (1)

N. V. Kukhtarev, Sov. Tech. Phys. Lett. 2, 438 (1976).

1974 (1)

A. M. Glass, D. von der Linde, and T. J. Negran, Appl. Phys. Lett. 25, 233 (1974).
[CrossRef]

1969 (1)

F. S. Chen, J. Appl. Phys. 40, 3389 (1969).
[CrossRef]

1966 (1)

A. Ashkin, G. D. Boyd, J. M. Dziedzic, R. G. Smith, A. A. Ballman, J. J. Levinstein, and K. Nassau, Appl. Phys. Lett. 9, 72 (1966).
[CrossRef]

Ashkin, A.

A. Ashkin, G. D. Boyd, J. M. Dziedzic, R. G. Smith, A. A. Ballman, J. J. Levinstein, and K. Nassau, Appl. Phys. Lett. 9, 72 (1966).
[CrossRef]

Ballman, A. A.

A. Ashkin, G. D. Boyd, J. M. Dziedzic, R. G. Smith, A. A. Ballman, J. J. Levinstein, and K. Nassau, Appl. Phys. Lett. 9, 72 (1966).
[CrossRef]

Boyd, G. D.

A. Ashkin, G. D. Boyd, J. M. Dziedzic, R. G. Smith, A. A. Ballman, J. J. Levinstein, and K. Nassau, Appl. Phys. Lett. 9, 72 (1966).
[CrossRef]

Cabrera, J. M.

Carnicero, J.

Carrascosa, M.

Chen, F. S.

F. S. Chen, J. Appl. Phys. 40, 3389 (1969).
[CrossRef]

Dziedzic, J. M.

A. Ashkin, G. D. Boyd, J. M. Dziedzic, R. G. Smith, A. A. Ballman, J. J. Levinstein, and K. Nassau, Appl. Phys. Lett. 9, 72 (1966).
[CrossRef]

Fridkin, V.

V. Fridkin and B. Sturman, The Photovoltaic and Photorefractive Effects in Noncentrosymmetric Materials (Gordon & Breach, 1992).

Garcia-Cabanes, A.

Glass, A. M.

A. M. Glass, D. von der Linde, and T. J. Negran, Appl. Phys. Lett. 25, 233 (1974).
[CrossRef]

Grunnet-Jepsen, A.

L. Solymar, D. Webb, and A. Grunnet-Jepsen, The Physics and Applications of Photorefractive Materials (Clarendon, 1996), Chap. 5.

Jackson, J. D.

J. D. Jackson, Classical Electrodynamics (Wiley, 1998).

Jermann, F.

Krätzig, E.

Kukhtarev, N. V.

N. V. Kukhtarev, Sov. Tech. Phys. Lett. 2, 438 (1976).

Landau, L. D.

L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media (Pergamon, 1960), pp. 61-62.

Levinstein, J. J.

A. Ashkin, G. D. Boyd, J. M. Dziedzic, R. G. Smith, A. A. Ballman, J. J. Levinstein, and K. Nassau, Appl. Phys. Lett. 9, 72 (1966).
[CrossRef]

Lifshitz, E. M.

L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media (Pergamon, 1960), pp. 61-62.

Nassau, K.

A. Ashkin, G. D. Boyd, J. M. Dziedzic, R. G. Smith, A. A. Ballman, J. J. Levinstein, and K. Nassau, Appl. Phys. Lett. 9, 72 (1966).
[CrossRef]

Negran, T. J.

A. M. Glass, D. von der Linde, and T. J. Negran, Appl. Phys. Lett. 25, 233 (1974).
[CrossRef]

Otten, J.

Simon, M.

Smith, R. G.

A. Ashkin, G. D. Boyd, J. M. Dziedzic, R. G. Smith, A. A. Ballman, J. J. Levinstein, and K. Nassau, Appl. Phys. Lett. 9, 72 (1966).
[CrossRef]

Solymar, L.

L. Solymar, D. Webb, and A. Grunnet-Jepsen, The Physics and Applications of Photorefractive Materials (Clarendon, 1996), Chap. 5.

Sturman, B.

V. Fridkin and B. Sturman, The Photovoltaic and Photorefractive Effects in Noncentrosymmetric Materials (Gordon & Breach, 1992).

Villarroel, J.

von der Linde, D.

A. M. Glass, D. von der Linde, and T. J. Negran, Appl. Phys. Lett. 25, 233 (1974).
[CrossRef]

Webb, D.

L. Solymar, D. Webb, and A. Grunnet-Jepsen, The Physics and Applications of Photorefractive Materials (Clarendon, 1996), Chap. 5.

Yariv, A.

A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley Interscience, 2003), pp. 241-243.

Yeh, P.

A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley Interscience, 2003), pp. 241-243.

Appl. Phys. Lett. (2)

A. Ashkin, G. D. Boyd, J. M. Dziedzic, R. G. Smith, A. A. Ballman, J. J. Levinstein, and K. Nassau, Appl. Phys. Lett. 9, 72 (1966).
[CrossRef]

A. M. Glass, D. von der Linde, and T. J. Negran, Appl. Phys. Lett. 25, 233 (1974).
[CrossRef]

J. Appl. Phys. (1)

F. S. Chen, J. Appl. Phys. 40, 3389 (1969).
[CrossRef]

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

Opt. Express (1)

Sov. Tech. Phys. Lett. (1)

N. V. Kukhtarev, Sov. Tech. Phys. Lett. 2, 438 (1976).

Other (6)

L. Solymar, D. Webb, and A. Grunnet-Jepsen, The Physics and Applications of Photorefractive Materials (Clarendon, 1996), Chap. 5.

Photorefractive Materials and Their Applications II, P.Günter and J.-P.Huignard, eds. (Springer, 2007), Chaps. 3, 4, and 6.

A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley Interscience, 2003), pp. 241-243.

V. Fridkin and B. Sturman, The Photovoltaic and Photorefractive Effects in Noncentrosymmetric Materials (Gordon & Breach, 1992).

J. D. Jackson, Classical Electrodynamics (Wiley, 1998).

L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media (Pergamon, 1960), pp. 61-62.

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Figures (3)

Fig. 1
Fig. 1

Dependences E z ( 0 , z ) E pv (a) and E z ( y , 0 ) E pv (b) in the isotropic case for t t d = 3 , 5, 10, and 20.

Fig. 2
Fig. 2

Simulated time dependences of E z at r = 0 . Solid curves 1, 2, and 3 correspond to the square-, Gaussian-, and Lorentzian-shaped beams for ε ε = 1 . Curve 4 is plotted for a Gaussian-shaped beam and ε ε = 2.9 .

Fig. 3
Fig. 3

Measured (dots) and simulated (solid curve) dependences E z ( t ) . The dashed curve is a single-exponential fit.

Equations (9)

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

j = κ I E β c I ,
( ε 2 y 2 + ε 2 z 2 ) φ = ρ ε 0 ,
ρ t + j = 0 .
1 r r r Φ r Φ r 2 = R ε ε 0 ,
R t + γ R κ I r Φ r = β I r ,
Φ = 1 2 ε ε 0 [ 1 r 0 r R ( r 0 ) r 0 2 d r 0 + r r R ( r 0 ) d r 0 ] .
R t + γ R + γ r 2 [ 0 r r 0 2 r 2 R ( r 0 ) d r 0 r R ( r 0 ) d r 0 ] = q γ r ,
d E z ( 0 ) = ρ ( y , z ) 2 π ε 0 ε ε z d y d z z 2 + ( ε ε ) y 2 .
E z ( 0 , t ) E pv = κ I 0 t ε 0 ( ε + ε ε ) .

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