Abstract

A fast (τresponse <90 fs) free-electron spin-flipping frequency-degenerate nonlinearity with a significant value of χxxyy(3)(ω,ω,ω,-ω)-χxyyx(3)(ω,ω,ω,-ω)~10-8 esu has been observed in bulk gold at 1260 nm by use of a new pump–probe polarization-sensitive technique.

© 1995 Optical Society of America

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References

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  1. F. Hache, D. Ricard, C. Flytzanis, J. Opt. Soc. Am. B 3, 1647 (1986).
    [Crossref]
  2. F. Hache, D. Ricard, C. Flytzanis, U. Kreibig, Appl. Phys. A 47, 347 (1988).
    [Crossref]
  3. W. K. Burns, N. Bloembergen, Phys. Rev. B 4, 3437 (1971).
    [Crossref]
  4. R. W. Schoenlein, W. Z. Lin, J. G. Fujimoto, G. L. Eesley, Phys. Rev. Lett. 58, 1680 (1987).
    [Crossref] [PubMed]
  5. G. L. Eesley, Phys. Rev. B 33, 2144 (1986).
    [Crossref]
  6. S. V. Popov, N. I. Zheludev, Yu. P. Svirko, Opt. Lett. 19, 13 (1994).
    [Crossref] [PubMed]
  7. Yu. P. Svirko, N. I. Zheludev, J. Opt. Soc. Am. B 11, 1388 (1994).
    [Crossref]
  8. See numerous references inY. R. Shen, Surf. Sci. 300, 551 (1994); A. Liebsch, Surf. Sci. 309, 1007 (1994).
    [Crossref]
  9. R. P. Pan, H. D. Wei, Y. R. Shen, Phys. Rev. B 39, 1229 (1989).
    [Crossref]
  10. W. Hübner, K. H. Bennemann, Phys. Rev. B 40, 5973 (1989).
    [Crossref]
  11. N. I. Zheludev, S. V. Popov, A. Malinowski, Yu. Svirko, W. Y. Liang, C. T. Lin, Solid State Commun. 90, 287 (1994).
    [Crossref]
  12. A. A. Ivanov, V. F. Kamalov, A. P. Lifanov, J. Lucassen, B. I. Minkov, E. V. Slobochikov, Kavantovaya Elektron. 20, 1039 (1993).
  13. C. S. Wang, J. M. Chen, J. R. Bower, Opt. Commun. 8, 275 (1973).
    [Crossref]
  14. W. P. Dumke, Phys. Rev. 124, 1813 (1961).
    [Crossref]
  15. W. S. Fann, R. Storz, H. W. K. Tom, J. Boker, Phys. Rev. B 46, 13592 (1992).
    [Crossref]
  16. F. Beuneu, P. Monod, Phys. Rev. B 18, 2422 (1978).
    [Crossref]
  17. V. F. Gantmaher, I. B. Levinson, Scattering of Carriers in Metals and Semiconductors (Nauka, Moscow, 1984), Chap. 13.

1994 (4)

S. V. Popov, N. I. Zheludev, Yu. P. Svirko, Opt. Lett. 19, 13 (1994).
[Crossref] [PubMed]

Yu. P. Svirko, N. I. Zheludev, J. Opt. Soc. Am. B 11, 1388 (1994).
[Crossref]

See numerous references inY. R. Shen, Surf. Sci. 300, 551 (1994); A. Liebsch, Surf. Sci. 309, 1007 (1994).
[Crossref]

N. I. Zheludev, S. V. Popov, A. Malinowski, Yu. Svirko, W. Y. Liang, C. T. Lin, Solid State Commun. 90, 287 (1994).
[Crossref]

1993 (1)

A. A. Ivanov, V. F. Kamalov, A. P. Lifanov, J. Lucassen, B. I. Minkov, E. V. Slobochikov, Kavantovaya Elektron. 20, 1039 (1993).

1992 (1)

W. S. Fann, R. Storz, H. W. K. Tom, J. Boker, Phys. Rev. B 46, 13592 (1992).
[Crossref]

1989 (2)

R. P. Pan, H. D. Wei, Y. R. Shen, Phys. Rev. B 39, 1229 (1989).
[Crossref]

W. Hübner, K. H. Bennemann, Phys. Rev. B 40, 5973 (1989).
[Crossref]

1988 (1)

F. Hache, D. Ricard, C. Flytzanis, U. Kreibig, Appl. Phys. A 47, 347 (1988).
[Crossref]

1987 (1)

R. W. Schoenlein, W. Z. Lin, J. G. Fujimoto, G. L. Eesley, Phys. Rev. Lett. 58, 1680 (1987).
[Crossref] [PubMed]

1986 (2)

1978 (1)

F. Beuneu, P. Monod, Phys. Rev. B 18, 2422 (1978).
[Crossref]

1973 (1)

C. S. Wang, J. M. Chen, J. R. Bower, Opt. Commun. 8, 275 (1973).
[Crossref]

1971 (1)

W. K. Burns, N. Bloembergen, Phys. Rev. B 4, 3437 (1971).
[Crossref]

1961 (1)

W. P. Dumke, Phys. Rev. 124, 1813 (1961).
[Crossref]

Bennemann, K. H.

W. Hübner, K. H. Bennemann, Phys. Rev. B 40, 5973 (1989).
[Crossref]

Beuneu, F.

F. Beuneu, P. Monod, Phys. Rev. B 18, 2422 (1978).
[Crossref]

Bloembergen, N.

W. K. Burns, N. Bloembergen, Phys. Rev. B 4, 3437 (1971).
[Crossref]

Boker, J.

W. S. Fann, R. Storz, H. W. K. Tom, J. Boker, Phys. Rev. B 46, 13592 (1992).
[Crossref]

Bower, J. R.

C. S. Wang, J. M. Chen, J. R. Bower, Opt. Commun. 8, 275 (1973).
[Crossref]

Burns, W. K.

W. K. Burns, N. Bloembergen, Phys. Rev. B 4, 3437 (1971).
[Crossref]

Chen, J. M.

C. S. Wang, J. M. Chen, J. R. Bower, Opt. Commun. 8, 275 (1973).
[Crossref]

Dumke, W. P.

W. P. Dumke, Phys. Rev. 124, 1813 (1961).
[Crossref]

Eesley, G. L.

R. W. Schoenlein, W. Z. Lin, J. G. Fujimoto, G. L. Eesley, Phys. Rev. Lett. 58, 1680 (1987).
[Crossref] [PubMed]

G. L. Eesley, Phys. Rev. B 33, 2144 (1986).
[Crossref]

Fann, W. S.

W. S. Fann, R. Storz, H. W. K. Tom, J. Boker, Phys. Rev. B 46, 13592 (1992).
[Crossref]

Flytzanis, C.

F. Hache, D. Ricard, C. Flytzanis, U. Kreibig, Appl. Phys. A 47, 347 (1988).
[Crossref]

F. Hache, D. Ricard, C. Flytzanis, J. Opt. Soc. Am. B 3, 1647 (1986).
[Crossref]

Fujimoto, J. G.

R. W. Schoenlein, W. Z. Lin, J. G. Fujimoto, G. L. Eesley, Phys. Rev. Lett. 58, 1680 (1987).
[Crossref] [PubMed]

Gantmaher, V. F.

V. F. Gantmaher, I. B. Levinson, Scattering of Carriers in Metals and Semiconductors (Nauka, Moscow, 1984), Chap. 13.

Hache, F.

F. Hache, D. Ricard, C. Flytzanis, U. Kreibig, Appl. Phys. A 47, 347 (1988).
[Crossref]

F. Hache, D. Ricard, C. Flytzanis, J. Opt. Soc. Am. B 3, 1647 (1986).
[Crossref]

Hübner, W.

W. Hübner, K. H. Bennemann, Phys. Rev. B 40, 5973 (1989).
[Crossref]

Ivanov, A. A.

A. A. Ivanov, V. F. Kamalov, A. P. Lifanov, J. Lucassen, B. I. Minkov, E. V. Slobochikov, Kavantovaya Elektron. 20, 1039 (1993).

Kamalov, V. F.

A. A. Ivanov, V. F. Kamalov, A. P. Lifanov, J. Lucassen, B. I. Minkov, E. V. Slobochikov, Kavantovaya Elektron. 20, 1039 (1993).

Kreibig, U.

F. Hache, D. Ricard, C. Flytzanis, U. Kreibig, Appl. Phys. A 47, 347 (1988).
[Crossref]

Levinson, I. B.

V. F. Gantmaher, I. B. Levinson, Scattering of Carriers in Metals and Semiconductors (Nauka, Moscow, 1984), Chap. 13.

Liang, W. Y.

N. I. Zheludev, S. V. Popov, A. Malinowski, Yu. Svirko, W. Y. Liang, C. T. Lin, Solid State Commun. 90, 287 (1994).
[Crossref]

Lifanov, A. P.

A. A. Ivanov, V. F. Kamalov, A. P. Lifanov, J. Lucassen, B. I. Minkov, E. V. Slobochikov, Kavantovaya Elektron. 20, 1039 (1993).

Lin, C. T.

N. I. Zheludev, S. V. Popov, A. Malinowski, Yu. Svirko, W. Y. Liang, C. T. Lin, Solid State Commun. 90, 287 (1994).
[Crossref]

Lin, W. Z.

R. W. Schoenlein, W. Z. Lin, J. G. Fujimoto, G. L. Eesley, Phys. Rev. Lett. 58, 1680 (1987).
[Crossref] [PubMed]

Lucassen, J.

A. A. Ivanov, V. F. Kamalov, A. P. Lifanov, J. Lucassen, B. I. Minkov, E. V. Slobochikov, Kavantovaya Elektron. 20, 1039 (1993).

Malinowski, A.

N. I. Zheludev, S. V. Popov, A. Malinowski, Yu. Svirko, W. Y. Liang, C. T. Lin, Solid State Commun. 90, 287 (1994).
[Crossref]

Minkov, B. I.

A. A. Ivanov, V. F. Kamalov, A. P. Lifanov, J. Lucassen, B. I. Minkov, E. V. Slobochikov, Kavantovaya Elektron. 20, 1039 (1993).

Monod, P.

F. Beuneu, P. Monod, Phys. Rev. B 18, 2422 (1978).
[Crossref]

Pan, R. P.

R. P. Pan, H. D. Wei, Y. R. Shen, Phys. Rev. B 39, 1229 (1989).
[Crossref]

Popov, S. V.

S. V. Popov, N. I. Zheludev, Yu. P. Svirko, Opt. Lett. 19, 13 (1994).
[Crossref] [PubMed]

N. I. Zheludev, S. V. Popov, A. Malinowski, Yu. Svirko, W. Y. Liang, C. T. Lin, Solid State Commun. 90, 287 (1994).
[Crossref]

Ricard, D.

F. Hache, D. Ricard, C. Flytzanis, U. Kreibig, Appl. Phys. A 47, 347 (1988).
[Crossref]

F. Hache, D. Ricard, C. Flytzanis, J. Opt. Soc. Am. B 3, 1647 (1986).
[Crossref]

Schoenlein, R. W.

R. W. Schoenlein, W. Z. Lin, J. G. Fujimoto, G. L. Eesley, Phys. Rev. Lett. 58, 1680 (1987).
[Crossref] [PubMed]

Shen, Y. R.

See numerous references inY. R. Shen, Surf. Sci. 300, 551 (1994); A. Liebsch, Surf. Sci. 309, 1007 (1994).
[Crossref]

R. P. Pan, H. D. Wei, Y. R. Shen, Phys. Rev. B 39, 1229 (1989).
[Crossref]

Slobochikov, E. V.

A. A. Ivanov, V. F. Kamalov, A. P. Lifanov, J. Lucassen, B. I. Minkov, E. V. Slobochikov, Kavantovaya Elektron. 20, 1039 (1993).

Storz, R.

W. S. Fann, R. Storz, H. W. K. Tom, J. Boker, Phys. Rev. B 46, 13592 (1992).
[Crossref]

Svirko, Yu.

N. I. Zheludev, S. V. Popov, A. Malinowski, Yu. Svirko, W. Y. Liang, C. T. Lin, Solid State Commun. 90, 287 (1994).
[Crossref]

Svirko, Yu. P.

Tom, H. W. K.

W. S. Fann, R. Storz, H. W. K. Tom, J. Boker, Phys. Rev. B 46, 13592 (1992).
[Crossref]

Wang, C. S.

C. S. Wang, J. M. Chen, J. R. Bower, Opt. Commun. 8, 275 (1973).
[Crossref]

Wei, H. D.

R. P. Pan, H. D. Wei, Y. R. Shen, Phys. Rev. B 39, 1229 (1989).
[Crossref]

Zheludev, N. I.

N. I. Zheludev, S. V. Popov, A. Malinowski, Yu. Svirko, W. Y. Liang, C. T. Lin, Solid State Commun. 90, 287 (1994).
[Crossref]

Yu. P. Svirko, N. I. Zheludev, J. Opt. Soc. Am. B 11, 1388 (1994).
[Crossref]

S. V. Popov, N. I. Zheludev, Yu. P. Svirko, Opt. Lett. 19, 13 (1994).
[Crossref] [PubMed]

Appl. Phys. A (1)

F. Hache, D. Ricard, C. Flytzanis, U. Kreibig, Appl. Phys. A 47, 347 (1988).
[Crossref]

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

Kavantovaya Elektron. (1)

A. A. Ivanov, V. F. Kamalov, A. P. Lifanov, J. Lucassen, B. I. Minkov, E. V. Slobochikov, Kavantovaya Elektron. 20, 1039 (1993).

Opt. Commun. (1)

C. S. Wang, J. M. Chen, J. R. Bower, Opt. Commun. 8, 275 (1973).
[Crossref]

Opt. Lett. (1)

Phys. Rev. (1)

W. P. Dumke, Phys. Rev. 124, 1813 (1961).
[Crossref]

Phys. Rev. B (6)

W. S. Fann, R. Storz, H. W. K. Tom, J. Boker, Phys. Rev. B 46, 13592 (1992).
[Crossref]

F. Beuneu, P. Monod, Phys. Rev. B 18, 2422 (1978).
[Crossref]

R. P. Pan, H. D. Wei, Y. R. Shen, Phys. Rev. B 39, 1229 (1989).
[Crossref]

W. Hübner, K. H. Bennemann, Phys. Rev. B 40, 5973 (1989).
[Crossref]

G. L. Eesley, Phys. Rev. B 33, 2144 (1986).
[Crossref]

W. K. Burns, N. Bloembergen, Phys. Rev. B 4, 3437 (1971).
[Crossref]

Phys. Rev. Lett. (1)

R. W. Schoenlein, W. Z. Lin, J. G. Fujimoto, G. L. Eesley, Phys. Rev. Lett. 58, 1680 (1987).
[Crossref] [PubMed]

Solid State Commun. (1)

N. I. Zheludev, S. V. Popov, A. Malinowski, Yu. Svirko, W. Y. Liang, C. T. Lin, Solid State Commun. 90, 287 (1994).
[Crossref]

Surf. Sci. (1)

See numerous references inY. R. Shen, Surf. Sci. 300, 551 (1994); A. Liebsch, Surf. Sci. 309, 1007 (1994).
[Crossref]

Other (1)

V. F. Gantmaher, I. B. Levinson, Scattering of Carriers in Metals and Semiconductors (Nauka, Moscow, 1984), Chap. 13.

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Figures (2)

Fig. 1
Fig. 1

Schematic of the arrangement to measure the SIFE in gold.

Fig. 2
Fig. 2

SIFE rotation in gold (λ = 1260 nm, room temperature) versus (a) pump–probe delay (I ~ 1 GW cm−2) and (b) pump pulse intensity (zero pump–probe delay).

Equations (7)

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δ α r = 32 π I c 1 + n 2 × Im { [ χ x x y y ( 3 ) ( ω , ω , ω , - ω ) - χ x y y x ( 3 ) ( ω , ω , ω , - ω ) ] n ( 1 - n 2 ) } .
δ α r - 2 ( κ + - κ - ) κ 2 .
κ + - κ - κ = 1 ω L d ɛ { [ f - ( ɛ ) - f + ( ɛ ) ] - [ f - ( ɛ + ω L ) - f + ( ɛ + ω L ) ] - 2 [ f - ( ɛ ) f + ( ɛ + ω L ) - f + ( ɛ ) f - ( ɛ + ω L ) ] } .
κ + - κ - κ = 2 N - - N + ρ ( ɛ F ) ω L .
δ δ t ( δ N ) = - 2 τ s ( δ N ) + ξ ( 1 - R ) ω L ( 2 - τ τ S ) I ,
δ N α ( 1 - R ) τ S ω L ( 1 - τ 2 τ S ) I .
| δ α r δ I | theor 8 c ω p ρ ( ɛ F ) ω L ( τ S τ - 1 2 ) .

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