Abstract

The use of specific symmetry properties of optical second-harmonic generation (the s,sexclusion rule) has allowed us to observe high-contrast hyper-Rayleigh interference patterns in completely diffuse light, an effect that has no analog in the case of linear (Rayleigh) scattering.

© 1999 Optical Society of America

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References

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  1. Y. R. Shen, Annu. Rev. Mater. Sci. 16, 69 (1986); T. F. Heinz, in Nonlinear Surface Electromagnetic Phenomena, H.-E. Ponath and G. I. Stegeman, eds. (North-Holland, Amsterdam, The Netherlands, 1991), p. 355; J. F. McGilp, Prog. Surf. Sci. 49, 1 (1995).
    [CrossRef]
  2. R. K. Chang, J. Ducuing, and N. Bloembergen, Phys. Rev. Lett. 15, 6 (1965); K. Kemnitz, K. Bhattacharyya, J. M. Hicks, G. R. Pinto, K. B. Eisenthal, and T. F. Heinz, Chem. Phys. Lett. 131, 285 (1986); R. Stolle, G. Marowsky, E. Schwarzberg, and G. Berkovic, Appl. Phys. B 63, 491 (1996).
    [CrossRef]
  3. K. Clays and A. Persoons, Phys. Rev. Lett. 66, 2980 (1991); P. K. Schmidt and G. W. Rayfield, Appl. Opt. 33, 4286 (1994); O. A. Aktsipetrov, A. A. Fedyanin, T. V. Murzina, G. P. Borisevich, and A. A. Kononenko, J. Opt. Soc. Am. B 14, 771 (1997); E. D. Mishina, A. A. Fedyanin, D. A. Klimkin, A. A. Nikulin, O. A. Aktsipetrov, S. L. Vorob’eva, V. R. Novak, M. A. C. Devillers, and Th. Rasing, Surf. Sci. 382, L696 (1997).
    [CrossRef] [PubMed]
  4. O. A. Aktsipetrov, N. N. Akhmediev, I. M. Baranova, E. D. Mishina, and V. R. Novak, Zh. Eksp. Teor. Fiz. 89, 911 (1985) [Sov. Phys. JETP 62, 524 (1985)]; O. Keller, J. Opt. Am. B 2, 367 (1985).
    [CrossRef]
  5. G. Varo, Acta Biol. Acad. Sci. Hung. 32, 301 (1981).
  6. K. A. Vorotilov, M. I. Yanovskaya, and O. A. Dorokhova, Integr. Ferroelectr. 3, 33 (1993).
    [CrossRef]
  7. O. A. Aktsipetrov, A. A. Fedyanin, D. A. Klimkin, A. A. Nikulin, E. D. Mishina, A. S. Sigov, K. A. Vorotilov, C. W. van Hasselt, M. A. C. Devillers, and Th. Rasing, Ferroelectrics 183, 215 (1996).
    [CrossRef]
  8. R. R. Birge, Biochim. Biophys. Acta 1016, 293 (1990).
    [CrossRef] [PubMed]

1996 (1)

O. A. Aktsipetrov, A. A. Fedyanin, D. A. Klimkin, A. A. Nikulin, E. D. Mishina, A. S. Sigov, K. A. Vorotilov, C. W. van Hasselt, M. A. C. Devillers, and Th. Rasing, Ferroelectrics 183, 215 (1996).
[CrossRef]

1993 (1)

K. A. Vorotilov, M. I. Yanovskaya, and O. A. Dorokhova, Integr. Ferroelectr. 3, 33 (1993).
[CrossRef]

1991 (1)

K. Clays and A. Persoons, Phys. Rev. Lett. 66, 2980 (1991); P. K. Schmidt and G. W. Rayfield, Appl. Opt. 33, 4286 (1994); O. A. Aktsipetrov, A. A. Fedyanin, T. V. Murzina, G. P. Borisevich, and A. A. Kononenko, J. Opt. Soc. Am. B 14, 771 (1997); E. D. Mishina, A. A. Fedyanin, D. A. Klimkin, A. A. Nikulin, O. A. Aktsipetrov, S. L. Vorob’eva, V. R. Novak, M. A. C. Devillers, and Th. Rasing, Surf. Sci. 382, L696 (1997).
[CrossRef] [PubMed]

1990 (1)

R. R. Birge, Biochim. Biophys. Acta 1016, 293 (1990).
[CrossRef] [PubMed]

1986 (1)

Y. R. Shen, Annu. Rev. Mater. Sci. 16, 69 (1986); T. F. Heinz, in Nonlinear Surface Electromagnetic Phenomena, H.-E. Ponath and G. I. Stegeman, eds. (North-Holland, Amsterdam, The Netherlands, 1991), p. 355; J. F. McGilp, Prog. Surf. Sci. 49, 1 (1995).
[CrossRef]

1985 (1)

O. A. Aktsipetrov, N. N. Akhmediev, I. M. Baranova, E. D. Mishina, and V. R. Novak, Zh. Eksp. Teor. Fiz. 89, 911 (1985) [Sov. Phys. JETP 62, 524 (1985)]; O. Keller, J. Opt. Am. B 2, 367 (1985).
[CrossRef]

1981 (1)

G. Varo, Acta Biol. Acad. Sci. Hung. 32, 301 (1981).

1965 (1)

R. K. Chang, J. Ducuing, and N. Bloembergen, Phys. Rev. Lett. 15, 6 (1965); K. Kemnitz, K. Bhattacharyya, J. M. Hicks, G. R. Pinto, K. B. Eisenthal, and T. F. Heinz, Chem. Phys. Lett. 131, 285 (1986); R. Stolle, G. Marowsky, E. Schwarzberg, and G. Berkovic, Appl. Phys. B 63, 491 (1996).
[CrossRef]

Akhmediev, N. N.

O. A. Aktsipetrov, N. N. Akhmediev, I. M. Baranova, E. D. Mishina, and V. R. Novak, Zh. Eksp. Teor. Fiz. 89, 911 (1985) [Sov. Phys. JETP 62, 524 (1985)]; O. Keller, J. Opt. Am. B 2, 367 (1985).
[CrossRef]

Aktsipetrov, O. A.

O. A. Aktsipetrov, A. A. Fedyanin, D. A. Klimkin, A. A. Nikulin, E. D. Mishina, A. S. Sigov, K. A. Vorotilov, C. W. van Hasselt, M. A. C. Devillers, and Th. Rasing, Ferroelectrics 183, 215 (1996).
[CrossRef]

O. A. Aktsipetrov, N. N. Akhmediev, I. M. Baranova, E. D. Mishina, and V. R. Novak, Zh. Eksp. Teor. Fiz. 89, 911 (1985) [Sov. Phys. JETP 62, 524 (1985)]; O. Keller, J. Opt. Am. B 2, 367 (1985).
[CrossRef]

Baranova, I. M.

O. A. Aktsipetrov, N. N. Akhmediev, I. M. Baranova, E. D. Mishina, and V. R. Novak, Zh. Eksp. Teor. Fiz. 89, 911 (1985) [Sov. Phys. JETP 62, 524 (1985)]; O. Keller, J. Opt. Am. B 2, 367 (1985).
[CrossRef]

Birge, R. R.

R. R. Birge, Biochim. Biophys. Acta 1016, 293 (1990).
[CrossRef] [PubMed]

Bloembergen, N.

R. K. Chang, J. Ducuing, and N. Bloembergen, Phys. Rev. Lett. 15, 6 (1965); K. Kemnitz, K. Bhattacharyya, J. M. Hicks, G. R. Pinto, K. B. Eisenthal, and T. F. Heinz, Chem. Phys. Lett. 131, 285 (1986); R. Stolle, G. Marowsky, E. Schwarzberg, and G. Berkovic, Appl. Phys. B 63, 491 (1996).
[CrossRef]

Chang, R. K.

R. K. Chang, J. Ducuing, and N. Bloembergen, Phys. Rev. Lett. 15, 6 (1965); K. Kemnitz, K. Bhattacharyya, J. M. Hicks, G. R. Pinto, K. B. Eisenthal, and T. F. Heinz, Chem. Phys. Lett. 131, 285 (1986); R. Stolle, G. Marowsky, E. Schwarzberg, and G. Berkovic, Appl. Phys. B 63, 491 (1996).
[CrossRef]

Clays, K.

K. Clays and A. Persoons, Phys. Rev. Lett. 66, 2980 (1991); P. K. Schmidt and G. W. Rayfield, Appl. Opt. 33, 4286 (1994); O. A. Aktsipetrov, A. A. Fedyanin, T. V. Murzina, G. P. Borisevich, and A. A. Kononenko, J. Opt. Soc. Am. B 14, 771 (1997); E. D. Mishina, A. A. Fedyanin, D. A. Klimkin, A. A. Nikulin, O. A. Aktsipetrov, S. L. Vorob’eva, V. R. Novak, M. A. C. Devillers, and Th. Rasing, Surf. Sci. 382, L696 (1997).
[CrossRef] [PubMed]

Devillers, M. A. C.

O. A. Aktsipetrov, A. A. Fedyanin, D. A. Klimkin, A. A. Nikulin, E. D. Mishina, A. S. Sigov, K. A. Vorotilov, C. W. van Hasselt, M. A. C. Devillers, and Th. Rasing, Ferroelectrics 183, 215 (1996).
[CrossRef]

Dorokhova, O. A.

K. A. Vorotilov, M. I. Yanovskaya, and O. A. Dorokhova, Integr. Ferroelectr. 3, 33 (1993).
[CrossRef]

Ducuing, J.

R. K. Chang, J. Ducuing, and N. Bloembergen, Phys. Rev. Lett. 15, 6 (1965); K. Kemnitz, K. Bhattacharyya, J. M. Hicks, G. R. Pinto, K. B. Eisenthal, and T. F. Heinz, Chem. Phys. Lett. 131, 285 (1986); R. Stolle, G. Marowsky, E. Schwarzberg, and G. Berkovic, Appl. Phys. B 63, 491 (1996).
[CrossRef]

Fedyanin, A. A.

O. A. Aktsipetrov, A. A. Fedyanin, D. A. Klimkin, A. A. Nikulin, E. D. Mishina, A. S. Sigov, K. A. Vorotilov, C. W. van Hasselt, M. A. C. Devillers, and Th. Rasing, Ferroelectrics 183, 215 (1996).
[CrossRef]

Klimkin, D. A.

O. A. Aktsipetrov, A. A. Fedyanin, D. A. Klimkin, A. A. Nikulin, E. D. Mishina, A. S. Sigov, K. A. Vorotilov, C. W. van Hasselt, M. A. C. Devillers, and Th. Rasing, Ferroelectrics 183, 215 (1996).
[CrossRef]

Mishina, E. D.

O. A. Aktsipetrov, A. A. Fedyanin, D. A. Klimkin, A. A. Nikulin, E. D. Mishina, A. S. Sigov, K. A. Vorotilov, C. W. van Hasselt, M. A. C. Devillers, and Th. Rasing, Ferroelectrics 183, 215 (1996).
[CrossRef]

O. A. Aktsipetrov, N. N. Akhmediev, I. M. Baranova, E. D. Mishina, and V. R. Novak, Zh. Eksp. Teor. Fiz. 89, 911 (1985) [Sov. Phys. JETP 62, 524 (1985)]; O. Keller, J. Opt. Am. B 2, 367 (1985).
[CrossRef]

Nikulin, A. A.

O. A. Aktsipetrov, A. A. Fedyanin, D. A. Klimkin, A. A. Nikulin, E. D. Mishina, A. S. Sigov, K. A. Vorotilov, C. W. van Hasselt, M. A. C. Devillers, and Th. Rasing, Ferroelectrics 183, 215 (1996).
[CrossRef]

Novak, V. R.

O. A. Aktsipetrov, N. N. Akhmediev, I. M. Baranova, E. D. Mishina, and V. R. Novak, Zh. Eksp. Teor. Fiz. 89, 911 (1985) [Sov. Phys. JETP 62, 524 (1985)]; O. Keller, J. Opt. Am. B 2, 367 (1985).
[CrossRef]

Persoons, A.

K. Clays and A. Persoons, Phys. Rev. Lett. 66, 2980 (1991); P. K. Schmidt and G. W. Rayfield, Appl. Opt. 33, 4286 (1994); O. A. Aktsipetrov, A. A. Fedyanin, T. V. Murzina, G. P. Borisevich, and A. A. Kononenko, J. Opt. Soc. Am. B 14, 771 (1997); E. D. Mishina, A. A. Fedyanin, D. A. Klimkin, A. A. Nikulin, O. A. Aktsipetrov, S. L. Vorob’eva, V. R. Novak, M. A. C. Devillers, and Th. Rasing, Surf. Sci. 382, L696 (1997).
[CrossRef] [PubMed]

Rasing, Th.

O. A. Aktsipetrov, A. A. Fedyanin, D. A. Klimkin, A. A. Nikulin, E. D. Mishina, A. S. Sigov, K. A. Vorotilov, C. W. van Hasselt, M. A. C. Devillers, and Th. Rasing, Ferroelectrics 183, 215 (1996).
[CrossRef]

Shen, Y. R.

Y. R. Shen, Annu. Rev. Mater. Sci. 16, 69 (1986); T. F. Heinz, in Nonlinear Surface Electromagnetic Phenomena, H.-E. Ponath and G. I. Stegeman, eds. (North-Holland, Amsterdam, The Netherlands, 1991), p. 355; J. F. McGilp, Prog. Surf. Sci. 49, 1 (1995).
[CrossRef]

Sigov, A. S.

O. A. Aktsipetrov, A. A. Fedyanin, D. A. Klimkin, A. A. Nikulin, E. D. Mishina, A. S. Sigov, K. A. Vorotilov, C. W. van Hasselt, M. A. C. Devillers, and Th. Rasing, Ferroelectrics 183, 215 (1996).
[CrossRef]

van Hasselt, C. W.

O. A. Aktsipetrov, A. A. Fedyanin, D. A. Klimkin, A. A. Nikulin, E. D. Mishina, A. S. Sigov, K. A. Vorotilov, C. W. van Hasselt, M. A. C. Devillers, and Th. Rasing, Ferroelectrics 183, 215 (1996).
[CrossRef]

Varo, G.

G. Varo, Acta Biol. Acad. Sci. Hung. 32, 301 (1981).

Vorotilov, K. A.

O. A. Aktsipetrov, A. A. Fedyanin, D. A. Klimkin, A. A. Nikulin, E. D. Mishina, A. S. Sigov, K. A. Vorotilov, C. W. van Hasselt, M. A. C. Devillers, and Th. Rasing, Ferroelectrics 183, 215 (1996).
[CrossRef]

K. A. Vorotilov, M. I. Yanovskaya, and O. A. Dorokhova, Integr. Ferroelectr. 3, 33 (1993).
[CrossRef]

Yanovskaya, M. I.

K. A. Vorotilov, M. I. Yanovskaya, and O. A. Dorokhova, Integr. Ferroelectr. 3, 33 (1993).
[CrossRef]

Acta Biol. Acad. Sci. Hung. (1)

G. Varo, Acta Biol. Acad. Sci. Hung. 32, 301 (1981).

Annu. Rev. Mater. Sci. (1)

Y. R. Shen, Annu. Rev. Mater. Sci. 16, 69 (1986); T. F. Heinz, in Nonlinear Surface Electromagnetic Phenomena, H.-E. Ponath and G. I. Stegeman, eds. (North-Holland, Amsterdam, The Netherlands, 1991), p. 355; J. F. McGilp, Prog. Surf. Sci. 49, 1 (1995).
[CrossRef]

Biochim. Biophys. Acta (1)

R. R. Birge, Biochim. Biophys. Acta 1016, 293 (1990).
[CrossRef] [PubMed]

Ferroelectrics (1)

O. A. Aktsipetrov, A. A. Fedyanin, D. A. Klimkin, A. A. Nikulin, E. D. Mishina, A. S. Sigov, K. A. Vorotilov, C. W. van Hasselt, M. A. C. Devillers, and Th. Rasing, Ferroelectrics 183, 215 (1996).
[CrossRef]

Integr. Ferroelectr. (1)

K. A. Vorotilov, M. I. Yanovskaya, and O. A. Dorokhova, Integr. Ferroelectr. 3, 33 (1993).
[CrossRef]

Phys. Rev. Lett. (2)

R. K. Chang, J. Ducuing, and N. Bloembergen, Phys. Rev. Lett. 15, 6 (1965); K. Kemnitz, K. Bhattacharyya, J. M. Hicks, G. R. Pinto, K. B. Eisenthal, and T. F. Heinz, Chem. Phys. Lett. 131, 285 (1986); R. Stolle, G. Marowsky, E. Schwarzberg, and G. Berkovic, Appl. Phys. B 63, 491 (1996).
[CrossRef]

K. Clays and A. Persoons, Phys. Rev. Lett. 66, 2980 (1991); P. K. Schmidt and G. W. Rayfield, Appl. Opt. 33, 4286 (1994); O. A. Aktsipetrov, A. A. Fedyanin, T. V. Murzina, G. P. Borisevich, and A. A. Kononenko, J. Opt. Soc. Am. B 14, 771 (1997); E. D. Mishina, A. A. Fedyanin, D. A. Klimkin, A. A. Nikulin, O. A. Aktsipetrov, S. L. Vorob’eva, V. R. Novak, M. A. C. Devillers, and Th. Rasing, Surf. Sci. 382, L696 (1997).
[CrossRef] [PubMed]

Zh. Eksp. Teor. Fiz. (1)

O. A. Aktsipetrov, N. N. Akhmediev, I. M. Baranova, E. D. Mishina, and V. R. Novak, Zh. Eksp. Teor. Fiz. 89, 911 (1985) [Sov. Phys. JETP 62, 524 (1985)]; O. Keller, J. Opt. Am. B 2, 367 (1985).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

(a) Schematic of HRS interferometry. (b), (c) SHG interference patterns measured in the sin, sout wave-polarization combination and in the absence of the specular SH component for bacteriorhodopsin and piezoceramic films, respectively. Solid curves, the dependences given by Eq. (4), with α~bR=0.51 and α~PZT=0.73. Dashed curves, partial interference patterns, referred to as patterns l and L, from the RS and the HRS sources, with correlation lengths l and L, respectively. Inset, schematic of pattern formation. PMT, photomultiplier tube.

Fig. 2
Fig. 2

RS and HRS indicatrices for bR film. Solid curves, dependences given by Eq. (3), with γ1bR=3.0 and γ2bR=0.34. Dashed lines, characteristic levels of the HRS and RS intensities. Inset, SHG azimuthal dependence and its approximation by the zeroth Fourier component.

Fig. 3
Fig. 3

RS and HRS indicatrices for PZT film. Solid curves, dependences given by Eq. (3), with γ1PZT=293.0 and γ2PZT=2.9. Dashed lines, characteristic levels of HRS and RS intensities. Left inset, SHG azimuthal dependence and its approximation by the first two Fourier components. The arrow indicates the angle ψ0 at which the SHG interference patterns are measured. Right inset, the RS indicatrix in the logarithmic scale.

Equations (6)

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

I2ωxR=I2ωS+I2ωR+2αI2ωSI2ωR×cosΦ0+KxR-xS,
I2ωxR=I2ωS+I2ωR+2α¯I¯2ωSI¯2ωR cosΦ¯+KxR+2α~I~2ωSI~2ωR cosΦ~+KxR,
Iσθ=IσTθexp-kθlσ2+γσ exp-kθLσ2,
I2ωs-sxR=I~2ωS+I2ωR+2α~I~2ωSI~2ωR×cosKxR+Φ~,
α~=ReP~2ωR*·P~2ωS/P~2ωR2P~2ωS21/2.
I2ωs-sxR=I¯2ωR+I11+γ1+I21+γ2+2αI1I2cosKxR+Φ~l+γ1γ2 cosKxR+Φ~L,

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