Abstract

Infrared optical constants collected from the literature are tabulated. The data for the noble metals and Al, Pb, and W can be reasonably fit using the Drude model. It is shown that −∊1(ω)=∊2(ω)≃ωp2/(2ωτ2) at the damping frequency ω = ωτ. Also −∊1(ωτ) ≃ −(½) ∊1(0), where the plasma frequency is ωp.

© 1983 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Optical properties of fourteen metals in the infrared and far infrared: Al, Co, Cu, Au, Fe, Pb, Mo, Ni, Pd, Pt, Ag, Ti, V, and W.

M. A. Ordal, Robert J. Bell, R. W. Alexander, L. L. Long, and M. R. Querry
Appl. Opt. 24(24) 4493-4499 (1985)

Optical properties of Al, Fe, Ti, Ta, W, and Mo at submillimeter wavelengths

Mark A. Ordal, Robert J. Bell, Ralph W. Alexander, Lawrence A. Newquist, and Marvin R. Querry
Appl. Opt. 27(6) 1203-1209 (1988)

Optical properties of Au, Ni, and Pb at submillimeter wavelengths

Mark A. Ordal, Robert J. Bell, Ralph W. Alexander, Larry L. Long, and Marvin R. Querry
Appl. Opt. 26(4) 744-752 (1987)

More Recommended Articles

References

  • View by:
  • Article Order
  • |
  • Year
  • |
  • Author
  • |
  • Publication
  1. G. Brandli, A. J. Sievers, Phys. Rev. B 5, 3550 (1972).
    [Crossref]
  2. P. Drude, Theory of Optics (Longmans, Green, New York, 1922; Dover, New York, 1968). A more modern reference is F. Wooten, Optical Properties of Solids (Academic, New York, 1972), p. 52. For the Drude model and surface impedance see B. Donovan, Elementary Theory of Metals (Pergamon, New York, 1967), p. 220.
  3. J. H. Weaver, C. Krafka, D. W. Lynch, E. E. Koch, “Part 1: The Transition Metals,” “Part 2, Noble Metals, Aluminum, Scandium, Yttrium, the Lanthanides, and the Actinides,” in Physics Data, Optical Properties of Metals (Fachinformationszentrum 7514 Eggenstein-Leopoldshafen 2, Karlsruhe, Federal Republic of Germany, 1981).
  4. G. Haas, L. Hadley, in American Institute of Physics Handbook, D. E. Gray, Ed. (McGraw-Hill, New York, 1972), p. 6–118.
  5. H. E. Bennett, J. M. Bennett, in Optical Properties and Electronic Structure of Metals and Alloys, F. Abeles, Ed., (North-Holland, Amsterdam; Wiley, New York, 1966), Sec. II.6, p. 175. For Ag, Au, and AL for ω, they estimated 145, 216, and 663 cm−1, respectively.
  6. For a single carrier type (electrons) the plasma frequency ωp is as given in Eq. (5) where the dielectric constant is ∊∞ (the contribution from the core electrons at high frequencies). Often m* = m and ∊∞ = 1 are assumed. For discussion see H. Ehrenreich, M. H. Cohen, Phys. Rev. 115, 786 (1959); the last paragraph on p. 790 is most relevant.
    [Crossref]
  7. Al: E. Shiles, T. Sasaki, M. Inokuti, D. Y. Smith, Phys. Rev. B 22, 1612 (1980); H. E. Bennett, J. M. Bennett, Optical Properties and Electronic Structure of Metals and Alloys, F. Abeles, Ed. (North Holland, Amsterdam, 1966), p. 175; L. G. Schulz, J. Opt. Soc. Am. 44, 357, 362 (1954).
    [Crossref]
  8. Cu: L. G. Schulz, J. Opt. Soc. Am. 44, 357, 362 (1954); A. P. Lenham, D. M. Treherne, J. Opt. Soc. Am. 56, 683 (1966); P. F. Robusto, R. Braunstein, Phys. Status Solidi B 107, 443 (1981); H. J. Hageman, W. Gudat, C. Kunz, J. Opt. Soc. Am. 65, 742 (1975); B. Dold, R. Mecke, Optik 22, 435 (1965).
    [Crossref]
  9. Au: H. E. Bennett, J. M. Bennett, Optical Properties and Electronic Structure of Metals and Alloys, F. Abeles, Ed. (North-Holland, Amsterdam, 1966), p. 75; L. G. Schulz, J. Opt. Soc. Am. 44, 357, 362 (1954); G. P. Motulevich, A. A. Shubin, Sov. Phys. JETP 20, 560 (1965); V. G. Padalka, I. N. Shklyarevskii, Opt. Spectrosc. 11, 285 (1961); G. A. Bolotin, A. N. Voloshinskii, M. M. Kirilbra, M. M. Neskov, A. V. Sokolov, B. A. Charikov, Fiz. Met. Metalloved. 13, 823 (1962); G. Brändli, A. J. Sievers, Phys. Rev. B 5, 3550 (1972).
    [Crossref]
  10. Pb: G. Brandli, A. J. Sievers, Phys. Rev. B 5, 3550 (1972); A. I. Golovashkin, G. P. Motulevich, Sov. Phys. JETP 26, 881 (1968).
    [Crossref]
  11. Ag: H. E. Bennett, J. M. Bennett, in Optical Properties and Electronic Structure of Metals and AlloysF. Abeles, Ed. (North-Holland, Amsterdam, 1966), p. 175; L. G. Schulz, J. Opt. Soc. Am. 44, 357, and 362 (1954); H. J. Hagemann, W. Endat, C. Kunz, J. Opt. Soc. Am. 65, 742 (1975).
    [Crossref]
  12. Co: M. M. Kirillova, B. A. Charikov, Opt. Spectrosc. 17, 134 (1964); P. B. Johnson, R. W. Christy, Phys. Rev. B 9, 5056 (1974); J. H. Weaver, E. Colavita, D. W. Lynch, R. Rosei, Phys. Rev. B 19, 3850 (1979).
    [Crossref]
  13. Fe: J. H. Weaver, E. Colavita, D. W. Lynch, R. Rosei, Phys. Rev. B 19, 3850 (1979); G. A. Bolotin, M. M. Krillova, V. M. Mayevskiy, Phys. Met. Mettalogr. USSR 27, No. 2, 31 (1969).
    [Crossref]
  14. Ni: D. W. Lynch, R. Rosei, J. H. Weaver, Solid State Commun. 9, 2195 (1973); P. B. Johnson, R. W. Christy, Phys. Rev. B 9, 5056 (1974).
    [Crossref]
  15. Pd: J. H. Weaver, R. L. Benbow, Phys. Rev. B 12, 3509 (1975); G. A. Bolotin, M. M. Kirillova, L. V. Nomerovannaya, M. M. Noskov, Fiz. Met. Mettalloved. 23, 463 (1967); P. B. Johnson, R. W. Christy, Phys. Rev. B 9, 5056 (1974).
    [Crossref]
  16. Pt: J. H. Weaver, Phys. Rev. B 11, 1416 (1975); J. H. Weaver, C. G. Olson, D. W. Lynch, Phys. Rev. B 10, 501 (1974).
    [Crossref]
  17. Ti: M. M. Kirillova, B. A. Charikov, Opt. Spectrosc. 17, 134 (1964); D. W. Lynch, C. G. Olson, J. H. Weaver, Phys. Rev. B 11, 3617 (1975); P. B. Johnson, R. W. Christy, Phys. Rev. B 9, 5056 (1974); M. M. Kirillova, B. A. Charikov, Phys. Met. 15, 138 (1963); G. A. Bolotin, A. N. Voloshinskii, M. M. Noskov, A. V. Sokolov, B. A. Charikov, Phys. Met. Metallogr. USSR 13, 823 (1962).
    [Crossref]
  18. W: L. V. Nomerovannaya, M. M. Kirillova, M. M. Noskov, Opt. Spectrosc. 17, 134 (1964); J. H. Weaver, D. W. Lynch, C. G. Olson, Phys. Rev. B 12, 1293 (1975).
    [Crossref]
  19. J. Babiskin, J. R. Anderson, in American Institute of Physics Handbook, (McGraw-Hill, New York, 1972), p. 9–39.
  20. G. R. Parkins, W. E. Lawrence, R. W. Christy, Phys. Rev. B 23, 6408 (1981).
    [Crossref]

1981 (1)

G. R. Parkins, W. E. Lawrence, R. W. Christy, Phys. Rev. B 23, 6408 (1981).
[Crossref]

1980 (1)

Al: E. Shiles, T. Sasaki, M. Inokuti, D. Y. Smith, Phys. Rev. B 22, 1612 (1980); H. E. Bennett, J. M. Bennett, Optical Properties and Electronic Structure of Metals and Alloys, F. Abeles, Ed. (North Holland, Amsterdam, 1966), p. 175; L. G. Schulz, J. Opt. Soc. Am. 44, 357, 362 (1954).
[Crossref]

1979 (1)

Fe: J. H. Weaver, E. Colavita, D. W. Lynch, R. Rosei, Phys. Rev. B 19, 3850 (1979); G. A. Bolotin, M. M. Krillova, V. M. Mayevskiy, Phys. Met. Mettalogr. USSR 27, No. 2, 31 (1969).
[Crossref]

1975 (2)

Pd: J. H. Weaver, R. L. Benbow, Phys. Rev. B 12, 3509 (1975); G. A. Bolotin, M. M. Kirillova, L. V. Nomerovannaya, M. M. Noskov, Fiz. Met. Mettalloved. 23, 463 (1967); P. B. Johnson, R. W. Christy, Phys. Rev. B 9, 5056 (1974).
[Crossref]

Pt: J. H. Weaver, Phys. Rev. B 11, 1416 (1975); J. H. Weaver, C. G. Olson, D. W. Lynch, Phys. Rev. B 10, 501 (1974).
[Crossref]

1973 (1)

Ni: D. W. Lynch, R. Rosei, J. H. Weaver, Solid State Commun. 9, 2195 (1973); P. B. Johnson, R. W. Christy, Phys. Rev. B 9, 5056 (1974).
[Crossref]

1972 (2)

Pb: G. Brandli, A. J. Sievers, Phys. Rev. B 5, 3550 (1972); A. I. Golovashkin, G. P. Motulevich, Sov. Phys. JETP 26, 881 (1968).
[Crossref]

G. Brandli, A. J. Sievers, Phys. Rev. B 5, 3550 (1972).
[Crossref]

1964 (3)

Co: M. M. Kirillova, B. A. Charikov, Opt. Spectrosc. 17, 134 (1964); P. B. Johnson, R. W. Christy, Phys. Rev. B 9, 5056 (1974); J. H. Weaver, E. Colavita, D. W. Lynch, R. Rosei, Phys. Rev. B 19, 3850 (1979).
[Crossref]

Ti: M. M. Kirillova, B. A. Charikov, Opt. Spectrosc. 17, 134 (1964); D. W. Lynch, C. G. Olson, J. H. Weaver, Phys. Rev. B 11, 3617 (1975); P. B. Johnson, R. W. Christy, Phys. Rev. B 9, 5056 (1974); M. M. Kirillova, B. A. Charikov, Phys. Met. 15, 138 (1963); G. A. Bolotin, A. N. Voloshinskii, M. M. Noskov, A. V. Sokolov, B. A. Charikov, Phys. Met. Metallogr. USSR 13, 823 (1962).
[Crossref]

W: L. V. Nomerovannaya, M. M. Kirillova, M. M. Noskov, Opt. Spectrosc. 17, 134 (1964); J. H. Weaver, D. W. Lynch, C. G. Olson, Phys. Rev. B 12, 1293 (1975).
[Crossref]

1959 (1)

For a single carrier type (electrons) the plasma frequency ωp is as given in Eq. (5) where the dielectric constant is ∊∞ (the contribution from the core electrons at high frequencies). Often m* = m and ∊∞ = 1 are assumed. For discussion see H. Ehrenreich, M. H. Cohen, Phys. Rev. 115, 786 (1959); the last paragraph on p. 790 is most relevant.
[Crossref]

1954 (1)

Cu: L. G. Schulz, J. Opt. Soc. Am. 44, 357, 362 (1954); A. P. Lenham, D. M. Treherne, J. Opt. Soc. Am. 56, 683 (1966); P. F. Robusto, R. Braunstein, Phys. Status Solidi B 107, 443 (1981); H. J. Hageman, W. Gudat, C. Kunz, J. Opt. Soc. Am. 65, 742 (1975); B. Dold, R. Mecke, Optik 22, 435 (1965).
[Crossref]

Anderson, J. R.

J. Babiskin, J. R. Anderson, in American Institute of Physics Handbook, (McGraw-Hill, New York, 1972), p. 9–39.

Babiskin, J.

J. Babiskin, J. R. Anderson, in American Institute of Physics Handbook, (McGraw-Hill, New York, 1972), p. 9–39.

Benbow, R. L.

Pd: J. H. Weaver, R. L. Benbow, Phys. Rev. B 12, 3509 (1975); G. A. Bolotin, M. M. Kirillova, L. V. Nomerovannaya, M. M. Noskov, Fiz. Met. Mettalloved. 23, 463 (1967); P. B. Johnson, R. W. Christy, Phys. Rev. B 9, 5056 (1974).
[Crossref]

Bennett, H. E.

Ag: H. E. Bennett, J. M. Bennett, in Optical Properties and Electronic Structure of Metals and AlloysF. Abeles, Ed. (North-Holland, Amsterdam, 1966), p. 175; L. G. Schulz, J. Opt. Soc. Am. 44, 357, and 362 (1954); H. J. Hagemann, W. Endat, C. Kunz, J. Opt. Soc. Am. 65, 742 (1975).
[Crossref]

Au: H. E. Bennett, J. M. Bennett, Optical Properties and Electronic Structure of Metals and Alloys, F. Abeles, Ed. (North-Holland, Amsterdam, 1966), p. 75; L. G. Schulz, J. Opt. Soc. Am. 44, 357, 362 (1954); G. P. Motulevich, A. A. Shubin, Sov. Phys. JETP 20, 560 (1965); V. G. Padalka, I. N. Shklyarevskii, Opt. Spectrosc. 11, 285 (1961); G. A. Bolotin, A. N. Voloshinskii, M. M. Kirilbra, M. M. Neskov, A. V. Sokolov, B. A. Charikov, Fiz. Met. Metalloved. 13, 823 (1962); G. Brändli, A. J. Sievers, Phys. Rev. B 5, 3550 (1972).
[Crossref]

H. E. Bennett, J. M. Bennett, in Optical Properties and Electronic Structure of Metals and Alloys, F. Abeles, Ed., (North-Holland, Amsterdam; Wiley, New York, 1966), Sec. II.6, p. 175. For Ag, Au, and AL for ω, they estimated 145, 216, and 663 cm−1, respectively.

Bennett, J. M.

H. E. Bennett, J. M. Bennett, in Optical Properties and Electronic Structure of Metals and Alloys, F. Abeles, Ed., (North-Holland, Amsterdam; Wiley, New York, 1966), Sec. II.6, p. 175. For Ag, Au, and AL for ω, they estimated 145, 216, and 663 cm−1, respectively.

Au: H. E. Bennett, J. M. Bennett, Optical Properties and Electronic Structure of Metals and Alloys, F. Abeles, Ed. (North-Holland, Amsterdam, 1966), p. 75; L. G. Schulz, J. Opt. Soc. Am. 44, 357, 362 (1954); G. P. Motulevich, A. A. Shubin, Sov. Phys. JETP 20, 560 (1965); V. G. Padalka, I. N. Shklyarevskii, Opt. Spectrosc. 11, 285 (1961); G. A. Bolotin, A. N. Voloshinskii, M. M. Kirilbra, M. M. Neskov, A. V. Sokolov, B. A. Charikov, Fiz. Met. Metalloved. 13, 823 (1962); G. Brändli, A. J. Sievers, Phys. Rev. B 5, 3550 (1972).
[Crossref]

Ag: H. E. Bennett, J. M. Bennett, in Optical Properties and Electronic Structure of Metals and AlloysF. Abeles, Ed. (North-Holland, Amsterdam, 1966), p. 175; L. G. Schulz, J. Opt. Soc. Am. 44, 357, and 362 (1954); H. J. Hagemann, W. Endat, C. Kunz, J. Opt. Soc. Am. 65, 742 (1975).
[Crossref]

Brandli, G.

Pb: G. Brandli, A. J. Sievers, Phys. Rev. B 5, 3550 (1972); A. I. Golovashkin, G. P. Motulevich, Sov. Phys. JETP 26, 881 (1968).
[Crossref]

G. Brandli, A. J. Sievers, Phys. Rev. B 5, 3550 (1972).
[Crossref]

Charikov, B. A.

Co: M. M. Kirillova, B. A. Charikov, Opt. Spectrosc. 17, 134 (1964); P. B. Johnson, R. W. Christy, Phys. Rev. B 9, 5056 (1974); J. H. Weaver, E. Colavita, D. W. Lynch, R. Rosei, Phys. Rev. B 19, 3850 (1979).
[Crossref]

Ti: M. M. Kirillova, B. A. Charikov, Opt. Spectrosc. 17, 134 (1964); D. W. Lynch, C. G. Olson, J. H. Weaver, Phys. Rev. B 11, 3617 (1975); P. B. Johnson, R. W. Christy, Phys. Rev. B 9, 5056 (1974); M. M. Kirillova, B. A. Charikov, Phys. Met. 15, 138 (1963); G. A. Bolotin, A. N. Voloshinskii, M. M. Noskov, A. V. Sokolov, B. A. Charikov, Phys. Met. Metallogr. USSR 13, 823 (1962).
[Crossref]

Christy, R. W.

G. R. Parkins, W. E. Lawrence, R. W. Christy, Phys. Rev. B 23, 6408 (1981).
[Crossref]

Cohen, M. H.

For a single carrier type (electrons) the plasma frequency ωp is as given in Eq. (5) where the dielectric constant is ∊∞ (the contribution from the core electrons at high frequencies). Often m* = m and ∊∞ = 1 are assumed. For discussion see H. Ehrenreich, M. H. Cohen, Phys. Rev. 115, 786 (1959); the last paragraph on p. 790 is most relevant.
[Crossref]

Colavita, E.

Fe: J. H. Weaver, E. Colavita, D. W. Lynch, R. Rosei, Phys. Rev. B 19, 3850 (1979); G. A. Bolotin, M. M. Krillova, V. M. Mayevskiy, Phys. Met. Mettalogr. USSR 27, No. 2, 31 (1969).
[Crossref]

Drude, P.

P. Drude, Theory of Optics (Longmans, Green, New York, 1922; Dover, New York, 1968). A more modern reference is F. Wooten, Optical Properties of Solids (Academic, New York, 1972), p. 52. For the Drude model and surface impedance see B. Donovan, Elementary Theory of Metals (Pergamon, New York, 1967), p. 220.

Ehrenreich, H.

For a single carrier type (electrons) the plasma frequency ωp is as given in Eq. (5) where the dielectric constant is ∊∞ (the contribution from the core electrons at high frequencies). Often m* = m and ∊∞ = 1 are assumed. For discussion see H. Ehrenreich, M. H. Cohen, Phys. Rev. 115, 786 (1959); the last paragraph on p. 790 is most relevant.
[Crossref]

Haas, G.

G. Haas, L. Hadley, in American Institute of Physics Handbook, D. E. Gray, Ed. (McGraw-Hill, New York, 1972), p. 6–118.

Hadley, L.

G. Haas, L. Hadley, in American Institute of Physics Handbook, D. E. Gray, Ed. (McGraw-Hill, New York, 1972), p. 6–118.

Inokuti, M.

Al: E. Shiles, T. Sasaki, M. Inokuti, D. Y. Smith, Phys. Rev. B 22, 1612 (1980); H. E. Bennett, J. M. Bennett, Optical Properties and Electronic Structure of Metals and Alloys, F. Abeles, Ed. (North Holland, Amsterdam, 1966), p. 175; L. G. Schulz, J. Opt. Soc. Am. 44, 357, 362 (1954).
[Crossref]

Kirillova, M. M.

W: L. V. Nomerovannaya, M. M. Kirillova, M. M. Noskov, Opt. Spectrosc. 17, 134 (1964); J. H. Weaver, D. W. Lynch, C. G. Olson, Phys. Rev. B 12, 1293 (1975).
[Crossref]

Ti: M. M. Kirillova, B. A. Charikov, Opt. Spectrosc. 17, 134 (1964); D. W. Lynch, C. G. Olson, J. H. Weaver, Phys. Rev. B 11, 3617 (1975); P. B. Johnson, R. W. Christy, Phys. Rev. B 9, 5056 (1974); M. M. Kirillova, B. A. Charikov, Phys. Met. 15, 138 (1963); G. A. Bolotin, A. N. Voloshinskii, M. M. Noskov, A. V. Sokolov, B. A. Charikov, Phys. Met. Metallogr. USSR 13, 823 (1962).
[Crossref]

Co: M. M. Kirillova, B. A. Charikov, Opt. Spectrosc. 17, 134 (1964); P. B. Johnson, R. W. Christy, Phys. Rev. B 9, 5056 (1974); J. H. Weaver, E. Colavita, D. W. Lynch, R. Rosei, Phys. Rev. B 19, 3850 (1979).
[Crossref]

Koch, E. E.

J. H. Weaver, C. Krafka, D. W. Lynch, E. E. Koch, “Part 1: The Transition Metals,” “Part 2, Noble Metals, Aluminum, Scandium, Yttrium, the Lanthanides, and the Actinides,” in Physics Data, Optical Properties of Metals (Fachinformationszentrum 7514 Eggenstein-Leopoldshafen 2, Karlsruhe, Federal Republic of Germany, 1981).

Krafka, C.

J. H. Weaver, C. Krafka, D. W. Lynch, E. E. Koch, “Part 1: The Transition Metals,” “Part 2, Noble Metals, Aluminum, Scandium, Yttrium, the Lanthanides, and the Actinides,” in Physics Data, Optical Properties of Metals (Fachinformationszentrum 7514 Eggenstein-Leopoldshafen 2, Karlsruhe, Federal Republic of Germany, 1981).

Lawrence, W. E.

G. R. Parkins, W. E. Lawrence, R. W. Christy, Phys. Rev. B 23, 6408 (1981).
[Crossref]

Lynch, D. W.

Fe: J. H. Weaver, E. Colavita, D. W. Lynch, R. Rosei, Phys. Rev. B 19, 3850 (1979); G. A. Bolotin, M. M. Krillova, V. M. Mayevskiy, Phys. Met. Mettalogr. USSR 27, No. 2, 31 (1969).
[Crossref]

Ni: D. W. Lynch, R. Rosei, J. H. Weaver, Solid State Commun. 9, 2195 (1973); P. B. Johnson, R. W. Christy, Phys. Rev. B 9, 5056 (1974).
[Crossref]

J. H. Weaver, C. Krafka, D. W. Lynch, E. E. Koch, “Part 1: The Transition Metals,” “Part 2, Noble Metals, Aluminum, Scandium, Yttrium, the Lanthanides, and the Actinides,” in Physics Data, Optical Properties of Metals (Fachinformationszentrum 7514 Eggenstein-Leopoldshafen 2, Karlsruhe, Federal Republic of Germany, 1981).

Nomerovannaya, L. V.

W: L. V. Nomerovannaya, M. M. Kirillova, M. M. Noskov, Opt. Spectrosc. 17, 134 (1964); J. H. Weaver, D. W. Lynch, C. G. Olson, Phys. Rev. B 12, 1293 (1975).
[Crossref]

Noskov, M. M.

W: L. V. Nomerovannaya, M. M. Kirillova, M. M. Noskov, Opt. Spectrosc. 17, 134 (1964); J. H. Weaver, D. W. Lynch, C. G. Olson, Phys. Rev. B 12, 1293 (1975).
[Crossref]

Parkins, G. R.

G. R. Parkins, W. E. Lawrence, R. W. Christy, Phys. Rev. B 23, 6408 (1981).
[Crossref]

Rosei, R.

Fe: J. H. Weaver, E. Colavita, D. W. Lynch, R. Rosei, Phys. Rev. B 19, 3850 (1979); G. A. Bolotin, M. M. Krillova, V. M. Mayevskiy, Phys. Met. Mettalogr. USSR 27, No. 2, 31 (1969).
[Crossref]

Ni: D. W. Lynch, R. Rosei, J. H. Weaver, Solid State Commun. 9, 2195 (1973); P. B. Johnson, R. W. Christy, Phys. Rev. B 9, 5056 (1974).
[Crossref]

Sasaki, T.

Al: E. Shiles, T. Sasaki, M. Inokuti, D. Y. Smith, Phys. Rev. B 22, 1612 (1980); H. E. Bennett, J. M. Bennett, Optical Properties and Electronic Structure of Metals and Alloys, F. Abeles, Ed. (North Holland, Amsterdam, 1966), p. 175; L. G. Schulz, J. Opt. Soc. Am. 44, 357, 362 (1954).
[Crossref]

Schulz, L. G.

Cu: L. G. Schulz, J. Opt. Soc. Am. 44, 357, 362 (1954); A. P. Lenham, D. M. Treherne, J. Opt. Soc. Am. 56, 683 (1966); P. F. Robusto, R. Braunstein, Phys. Status Solidi B 107, 443 (1981); H. J. Hageman, W. Gudat, C. Kunz, J. Opt. Soc. Am. 65, 742 (1975); B. Dold, R. Mecke, Optik 22, 435 (1965).
[Crossref]

Shiles, E.

Al: E. Shiles, T. Sasaki, M. Inokuti, D. Y. Smith, Phys. Rev. B 22, 1612 (1980); H. E. Bennett, J. M. Bennett, Optical Properties and Electronic Structure of Metals and Alloys, F. Abeles, Ed. (North Holland, Amsterdam, 1966), p. 175; L. G. Schulz, J. Opt. Soc. Am. 44, 357, 362 (1954).
[Crossref]

Sievers, A. J.

Pb: G. Brandli, A. J. Sievers, Phys. Rev. B 5, 3550 (1972); A. I. Golovashkin, G. P. Motulevich, Sov. Phys. JETP 26, 881 (1968).
[Crossref]

G. Brandli, A. J. Sievers, Phys. Rev. B 5, 3550 (1972).
[Crossref]

Smith, D. Y.

Al: E. Shiles, T. Sasaki, M. Inokuti, D. Y. Smith, Phys. Rev. B 22, 1612 (1980); H. E. Bennett, J. M. Bennett, Optical Properties and Electronic Structure of Metals and Alloys, F. Abeles, Ed. (North Holland, Amsterdam, 1966), p. 175; L. G. Schulz, J. Opt. Soc. Am. 44, 357, 362 (1954).
[Crossref]

Weaver, J. H.

Fe: J. H. Weaver, E. Colavita, D. W. Lynch, R. Rosei, Phys. Rev. B 19, 3850 (1979); G. A. Bolotin, M. M. Krillova, V. M. Mayevskiy, Phys. Met. Mettalogr. USSR 27, No. 2, 31 (1969).
[Crossref]

Pt: J. H. Weaver, Phys. Rev. B 11, 1416 (1975); J. H. Weaver, C. G. Olson, D. W. Lynch, Phys. Rev. B 10, 501 (1974).
[Crossref]

Pd: J. H. Weaver, R. L. Benbow, Phys. Rev. B 12, 3509 (1975); G. A. Bolotin, M. M. Kirillova, L. V. Nomerovannaya, M. M. Noskov, Fiz. Met. Mettalloved. 23, 463 (1967); P. B. Johnson, R. W. Christy, Phys. Rev. B 9, 5056 (1974).
[Crossref]

Ni: D. W. Lynch, R. Rosei, J. H. Weaver, Solid State Commun. 9, 2195 (1973); P. B. Johnson, R. W. Christy, Phys. Rev. B 9, 5056 (1974).
[Crossref]

J. H. Weaver, C. Krafka, D. W. Lynch, E. E. Koch, “Part 1: The Transition Metals,” “Part 2, Noble Metals, Aluminum, Scandium, Yttrium, the Lanthanides, and the Actinides,” in Physics Data, Optical Properties of Metals (Fachinformationszentrum 7514 Eggenstein-Leopoldshafen 2, Karlsruhe, Federal Republic of Germany, 1981).

J. Opt. Soc. Am. (1)

Cu: L. G. Schulz, J. Opt. Soc. Am. 44, 357, 362 (1954); A. P. Lenham, D. M. Treherne, J. Opt. Soc. Am. 56, 683 (1966); P. F. Robusto, R. Braunstein, Phys. Status Solidi B 107, 443 (1981); H. J. Hageman, W. Gudat, C. Kunz, J. Opt. Soc. Am. 65, 742 (1975); B. Dold, R. Mecke, Optik 22, 435 (1965).
[Crossref]

Opt. Spectrosc. (3)

Co: M. M. Kirillova, B. A. Charikov, Opt. Spectrosc. 17, 134 (1964); P. B. Johnson, R. W. Christy, Phys. Rev. B 9, 5056 (1974); J. H. Weaver, E. Colavita, D. W. Lynch, R. Rosei, Phys. Rev. B 19, 3850 (1979).
[Crossref]

Ti: M. M. Kirillova, B. A. Charikov, Opt. Spectrosc. 17, 134 (1964); D. W. Lynch, C. G. Olson, J. H. Weaver, Phys. Rev. B 11, 3617 (1975); P. B. Johnson, R. W. Christy, Phys. Rev. B 9, 5056 (1974); M. M. Kirillova, B. A. Charikov, Phys. Met. 15, 138 (1963); G. A. Bolotin, A. N. Voloshinskii, M. M. Noskov, A. V. Sokolov, B. A. Charikov, Phys. Met. Metallogr. USSR 13, 823 (1962).
[Crossref]

W: L. V. Nomerovannaya, M. M. Kirillova, M. M. Noskov, Opt. Spectrosc. 17, 134 (1964); J. H. Weaver, D. W. Lynch, C. G. Olson, Phys. Rev. B 12, 1293 (1975).
[Crossref]

Phys. Rev. (1)

For a single carrier type (electrons) the plasma frequency ωp is as given in Eq. (5) where the dielectric constant is ∊∞ (the contribution from the core electrons at high frequencies). Often m* = m and ∊∞ = 1 are assumed. For discussion see H. Ehrenreich, M. H. Cohen, Phys. Rev. 115, 786 (1959); the last paragraph on p. 790 is most relevant.
[Crossref]

Phys. Rev. B (7)

Al: E. Shiles, T. Sasaki, M. Inokuti, D. Y. Smith, Phys. Rev. B 22, 1612 (1980); H. E. Bennett, J. M. Bennett, Optical Properties and Electronic Structure of Metals and Alloys, F. Abeles, Ed. (North Holland, Amsterdam, 1966), p. 175; L. G. Schulz, J. Opt. Soc. Am. 44, 357, 362 (1954).
[Crossref]

G. Brandli, A. J. Sievers, Phys. Rev. B 5, 3550 (1972).
[Crossref]

Pd: J. H. Weaver, R. L. Benbow, Phys. Rev. B 12, 3509 (1975); G. A. Bolotin, M. M. Kirillova, L. V. Nomerovannaya, M. M. Noskov, Fiz. Met. Mettalloved. 23, 463 (1967); P. B. Johnson, R. W. Christy, Phys. Rev. B 9, 5056 (1974).
[Crossref]

Pt: J. H. Weaver, Phys. Rev. B 11, 1416 (1975); J. H. Weaver, C. G. Olson, D. W. Lynch, Phys. Rev. B 10, 501 (1974).
[Crossref]

Fe: J. H. Weaver, E. Colavita, D. W. Lynch, R. Rosei, Phys. Rev. B 19, 3850 (1979); G. A. Bolotin, M. M. Krillova, V. M. Mayevskiy, Phys. Met. Mettalogr. USSR 27, No. 2, 31 (1969).
[Crossref]

Pb: G. Brandli, A. J. Sievers, Phys. Rev. B 5, 3550 (1972); A. I. Golovashkin, G. P. Motulevich, Sov. Phys. JETP 26, 881 (1968).
[Crossref]

G. R. Parkins, W. E. Lawrence, R. W. Christy, Phys. Rev. B 23, 6408 (1981).
[Crossref]

Solid State Commun. (1)

Ni: D. W. Lynch, R. Rosei, J. H. Weaver, Solid State Commun. 9, 2195 (1973); P. B. Johnson, R. W. Christy, Phys. Rev. B 9, 5056 (1974).
[Crossref]

Other (7)

Ag: H. E. Bennett, J. M. Bennett, in Optical Properties and Electronic Structure of Metals and AlloysF. Abeles, Ed. (North-Holland, Amsterdam, 1966), p. 175; L. G. Schulz, J. Opt. Soc. Am. 44, 357, and 362 (1954); H. J. Hagemann, W. Endat, C. Kunz, J. Opt. Soc. Am. 65, 742 (1975).
[Crossref]

J. Babiskin, J. R. Anderson, in American Institute of Physics Handbook, (McGraw-Hill, New York, 1972), p. 9–39.

P. Drude, Theory of Optics (Longmans, Green, New York, 1922; Dover, New York, 1968). A more modern reference is F. Wooten, Optical Properties of Solids (Academic, New York, 1972), p. 52. For the Drude model and surface impedance see B. Donovan, Elementary Theory of Metals (Pergamon, New York, 1967), p. 220.

J. H. Weaver, C. Krafka, D. W. Lynch, E. E. Koch, “Part 1: The Transition Metals,” “Part 2, Noble Metals, Aluminum, Scandium, Yttrium, the Lanthanides, and the Actinides,” in Physics Data, Optical Properties of Metals (Fachinformationszentrum 7514 Eggenstein-Leopoldshafen 2, Karlsruhe, Federal Republic of Germany, 1981).

G. Haas, L. Hadley, in American Institute of Physics Handbook, D. E. Gray, Ed. (McGraw-Hill, New York, 1972), p. 6–118.

H. E. Bennett, J. M. Bennett, in Optical Properties and Electronic Structure of Metals and Alloys, F. Abeles, Ed., (North-Holland, Amsterdam; Wiley, New York, 1966), Sec. II.6, p. 175. For Ag, Au, and AL for ω, they estimated 145, 216, and 663 cm−1, respectively.

Au: H. E. Bennett, J. M. Bennett, Optical Properties and Electronic Structure of Metals and Alloys, F. Abeles, Ed. (North-Holland, Amsterdam, 1966), p. 75; L. G. Schulz, J. Opt. Soc. Am. 44, 357, 362 (1954); G. P. Motulevich, A. A. Shubin, Sov. Phys. JETP 20, 560 (1965); V. G. Padalka, I. N. Shklyarevskii, Opt. Spectrosc. 11, 285 (1961); G. A. Bolotin, A. N. Voloshinskii, M. M. Kirilbra, M. M. Neskov, A. V. Sokolov, B. A. Charikov, Fiz. Met. Metalloved. 13, 823 (1962); G. Brändli, A. J. Sievers, Phys. Rev. B 5, 3550 (1972).
[Crossref]

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (12)

Fig. 1
Fig. 1 Aluminum: −∊1(ω) and ∊2(ω) vs frequency. The solid line is the Drude model. The data from Ref. 7 are: Shiles et al., □ for both −∊1 and ∊2; Bennett and Bennett * for −∊1 and ∊2; Schulz, ⋄ for −∊1 and ∊2.

Download Full Size | PPT Slide | PDF

Fig. 2
Fig. 2 Copper: −∊1(ω) and ∊2(ω) vs frequency. The solid line is the Drude model. The data from Ref. 8 are: Schulz, ⋄ for both −∊1 and ∊2; Lenham and Treherne, * for −∊1 and ∊2; Robusto and Braunstein, □ for both; Hageman et al., × for both; and Dold and Mecke, Δ for both.

Download Full Size | PPT Slide | PDF

Fig. 3
Fig. 3 Gold: −∊1(ω) and ∊2(ω) vs frequency. The solid line is the Drude model. The data from Ref. 9 are: Bennett and Bennett, * for both −∊1 and ∊2; Schulz, ⋄ for both; Motulevich and Shubin, □ for both; Padalka and Shklyarevskii, ○ for both; Bolotin et al., × for both; Brandli and Sievers, + for both; Weaver et al., Δ for both.

Download Full Size | PPT Slide | PDF

Fig. 4
Fig. 4 Lead: −∊1(ω) and ∊2(ω) vs frequency. The solid line represents the Drude model. The data from Ref. 10 are: Brandli and Sievers, × for −∊1 and + for ∊2; and Golovashkin and Motulevich, Δ for −∊1 and □ for ∊2.

Download Full Size | PPT Slide | PDF

Fig. 5
Fig. 5 Silver: −∊1(ω) and ∊2(ω) vs frequency. The solid line is the Drude model. The data from Ref. 11 are: Bennett and Bennett, * for both −∊1 and ∊2; Schulz, ⋄ for both; and Hagemann et al., × for both.

Download Full Size | PPT Slide | PDF

Fig. 6
Fig. 6 Colbalt: −∊1(ω) and ∊2(ω) vs frequency. The data from Ref. 12 are: Kirillova and Charikov, + for −∊1 and □ for ∊2; Johnson and Christy, ⋄ for −∊1 and ○ for ∊2; and Weaver et al, × for −∊1 and Δ for ∊2.

Download Full Size | PPT Slide | PDF

Fig. 7
Fig. 7 Iron: −∊1(ω) and ∊2(ω) vs frequency. The data from Ref. 13 are: Weaver et al., × for −∊1 and Δ for ∊2; Bolotin et al., ⋄ for −∊1 and ○ for ∊2.

Download Full Size | PPT Slide | PDF

Fig. 8
Fig. 8 Nickel: −∊1(ω) and ∊2(ω) vs frequency. The data from Ref. 14 are: Lynch et al., × for −∊1 and Δ for ∊2; Johnson and Christy, ⋄ for −∊1 and ○ for ∊2.

Download Full Size | PPT Slide | PDF

Fig. 9
Fig. 9 Palladium: −∊1(ω) and ∊2(ω) vs frequency. The data from Ref. 15 are: Weaver and Benbow, ⋄ for −∊1 and ○ for ∊2; Bolotin et al., + for −∊1 and □ for ∊2; Johnson and Christy, × for −∊1 and Δ for ∊2.

Download Full Size | PPT Slide | PDF

Fig. 10
Fig. 10 Platinum: −∊1(ω) and ∊2(ω) vs frequency. The data from Ref. 16 are Weaver et al., Δ for −∊1 and □ for ∊2.

Download Full Size | PPT Slide | PDF

Fig. 11
Fig. 11 Titanium: −∊1(ω) and ∊2(ω) vs frequency. The data from Ref. 17 are: Kirillova and Charikov, □ for both −∊1 and ∊2; Lynch et al., Δ for both; Johnson and Christy, ○ for both; Kirillova and Charikov, + for both; Bolotin et al., × for both.

Download Full Size | PPT Slide | PDF

Fig. 12
Fig. 12 Tungsten: −∊1(ω) and ∊2(ω) vs frequency. The solid line is the Drude model. The data from Ref. 18 are: Nomerovannaya et al., □ for both −∊1 and ∊2; Weaver et al., Δ for both.

Download Full Size | PPT Slide | PDF

Tables (40)

Tables Icon

TABLE 1 Al, ALUMINUME. Shiles, T. Sasaki, M. Inokuti, and D. Y. Smith, Phys. Rev. B 22, 1612 (1980)

View Table | View all tables in this article
Tables Icon

Table 2 H. E. Bennett and J. M. Bennett, Optical Properties and Electronics Structure of Metals and Alloys, ed. F. Abeles (North–Holland, 1966), p. 175.

View Table | View all tables in this article
Tables Icon

Table 3 L. G. Schulz, J. Opt. Soc. Am. 44, 357 (1954) and 362 (1954).

View Table | View all tables in this article
Tables Icon

TABLE 2 Cu, COPPERL. G. Schulz, J. Opt. Am. 44, 357 and 362 (1954).

View Table | View all tables in this article
Tables Icon

Table 5 A. P. Lenham and D. M. Treherne, J. Opt. Soc. Am. 56, 683 (1966).

View Table | View all tables in this article
Tables Icon

Table 6 P. F. Robusto and Braunstein, Phys. Stat. Sol. (b) 107, 443 (1981).

View Table | View all tables in this article
Tables Icon

Table 7 H. J. Hagemann, W. Gudat, and C. Kunz, J. Opt. Soc. Am. 65, 742 (1975).

View Table | View all tables in this article
Tables Icon

Table 8 B. Dold and R. Mecke, Optik 22, 435 (1965).

View Table | View all tables in this article
Tables Icon

TABLE 3 Au, GOLDH. E. Bennett and J. M. Bennett, Optical Properties and Electronic Structure of Metals and Alloys edited by F. Abeles (North–Holland, Amsterdam, 1966), p. 175.

View Table | View all tables in this article
Tables Icon

Table 10 L. G. Schulz, J. Opt. Soc. Am. 44, 357 and 362 (1954).

View Table | View all tables in this article
Tables Icon

Table 11 G. P. Motulevich and A. A. Shubin, Soviet Phys. JETP 20, 560 (1965).

View Table | View all tables in this article
Tables Icon

Table 12 V. G. Padalka and I. N. Shklyarevskii, Opt. Spectr. U.S.S.R. 11, 285 (1961).

View Table | View all tables in this article
Tables Icon

Table 13 G. A. Bolotin, A. N. Voloshinskii, M. M. Neskov, A. V. Sokolov, and B. A. Charikov, Phys. Met. and Met. 13, 823 (1962).

View Table | View all tables in this article
Tables Icon

Table 14 G. Brandli and A. J. Sievers, Phy. Rev. B 5, 3550 (1972).

View Table | View all tables in this article
Tables Icon

Table 15 J. H. Weaver, C. Krafka, D. W. Lynch, and E. E. Koch (with C. G. Olson), Physics Data, Optical Properties of Metals, (Fach–Information Zentrum, Kalsrube, FOR, 1981).

View Table | View all tables in this article
Tables Icon

TABLE 4 Pb, LEADG. Brandli and A. J. Sievers, Phys. Rev. B 5, 3550 (1972).

View Table | View all tables in this article
Tables Icon

Table 17 A. I. Golovashkin and G. P. Motulevich, Soviet Physics JETP 26, 881 (1968)

View Table | View all tables in this article
Tables Icon

TABLE 5 Ag, SILVERH. E. Bennett and J. M. Bennett in Optical Properties and Electronic Structure of Metals and Alloys, edited by F. Abeles (North–Holland, Amsterdam, 1966), p. 175.

View Table | View all tables in this article
Tables Icon

Table 19 L. G. Schulz, J. Opt. Soc. Am. 44, p. 357 and 362 (1954).

View Table | View all tables in this article
Tables Icon

Table 20 H. J. Hageman, W. Gudat, and C. Kunz, J. Opt. Soc. Am. 65, 742 (1975).

View Table | View all tables in this article
Tables Icon

TABLE 6 Co, COBALTM. M. Kirillova and B. A. Charikov, Opt. Spectry. 17, 134 (1964).

View Table | View all tables in this article
Tables Icon

Table 22 P. B. Johnson and R. W. Christy, Phys. B 9, 5056 (1974).

View Table | View all tables in this article
Tables Icon

Table 23 J. H. Weaver, E. Colavita, D. W. Lynch and R. Rosei, Phys. Rev. B 19, 3850 (1979).

View Table | View all tables in this article
Tables Icon

TABLE 7 Fe, IronJ. H. Weaver, E. Colavita, D. W. Lynch, and R. Rosei, Phys. Rev. B 19, 3850 (1979).

View Table | View all tables in this article
Tables Icon

Table 25 G. A. Bolotin, M. M. Kirillova, and V. M. Mayevskiy, Phys. Met. Metall, 27(2) 31 (1969).

View Table | View all tables in this article
Tables Icon

TABLE 8 Ni, NICKELD. W. Lynch, R. Rosei and J. H. Weaver, Solid State Commun. 9, 2195 (1971).

View Table | View all tables in this article
Tables Icon

Table 27 B. Johnson and R. W. Christy, Phys. Rev. B 9, 5056 (1974).

View Table | View all tables in this article
Tables Icon

TABLE 9 Pd, PalladiumJ. H. Weaver and R. L. Bendow, Phys. Rev. B 12, 3509 (1975).

View Table | View all tables in this article
Tables Icon

Table 29 G. A. Bolotin, M. M. Kirilova, L. V. Nomerovannaya, and M. M. Noskov, Fiz. Metal. Metalloved 23, 463 (1967).

View Table | View all tables in this article
Tables Icon

Table 30 P. B. Johnson and R. W. Christy, Phys. Rev. B 9, 5056 (1974).

View Table | View all tables in this article
Tables Icon

TABLE 10 Pt, PlatinumJ. H. Weaver, Phys. Rev. B 11, 1416 (1975).

View Table | View all tables in this article
Tables Icon

Table 32 J. H. Weaver, D. W. Lynch, and C. G. Olson, Phys. Rev. B 10, 501 (1974).

View Table | View all tables in this article
Tables Icon

TABLE 11 Ti, TITANIUMM. M. Kirillova and B. A. Charikov, Opt. Spectry 17, 134 (1964).

View Table | View all tables in this article
Tables Icon

Table 34 D. W. Lynch, C. G. Olson, and J. H. Weaver, Phys. Rev. B 11, 3617 (1975).

View Table | View all tables in this article
Tables Icon

Table 35 P. B. Johnson and R. W. Christy, Phys. Rev. B 9, 5056 (1974).

View Table | View all tables in this article
Tables Icon

Table 36 M. M. Kirillova and B. A. Charikov, Phys. Met. 15, 138 (1963).

View Table | View all tables in this article
Tables Icon

Table 37 G. A. Bolotin, A. N. Voloshinskii, M. M. Neskov, A. V. Sokolov, and B. A. Charikov, Phys. Met. and Met. 13, 823 (1962).

View Table | View all tables in this article
Tables Icon

TABLE 12 W, TUNGSTENL. V. Nomerovannaya, M. M. Kirillova, and M. M. Noskov, Opt. Spectry. 17, 134 (1964).

View Table | View all tables in this article
Tables Icon

Table 39 J. H. Weaver, D. W. Lynch and C. G. Olson, Phys. Rev. B 12, 1293 (1975).

View Table | View all tables in this article
Tables Icon

Table 13 Optical Parameters Found using a Drude Model Fit of the Experimental Dielectric Functions for Six Metals for which the Dielectric Functions could be Fit; here ωf is the Frequency at which the Fit is Forced, and −∊1(0) is −∊1(ω) at dc; the Crossover Frequency Applies to −∊1 ≡ ∊2.

View Table | View all tables in this article

Equations (14)

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

∊ c ≡ ∊ 1 + i ∊ 2 ≡ n c 2 ≡ ( n + i k ) 2 .
∊ c = ∊ ∞ − ω p 2 ω 2 + i ω ω τ ,
∊ 1 = ∊ ∞ − ω p 2 ω 2 + ω τ 2 ,
∊ 2 = ω p 2 ω τ ω 3 + ω ω τ 2 .
ω p ( cm − 1 ) = 1 2 π c ( 4 π N e 2 m * ∊ ∞ ) 1 / 2 ,
ω τ ( cm − 1 ) = 1 2 π c τ ,
∊ 1 ( 0 ) → − ( ω p ω τ ) 2 .
σ 0 = ω p 2 / ( 4 π ω τ )
σ 0 ( cm − 1 ) = 1 / [ 2 π c ρ o ( s ) ] = ( 9 × 10 11 ) / [ 2 π c ρ 0 ( Ω cm ) ] .
Z ( ω ) ≡ R ( ω ) + i X ( ω ) = 4 π c ( 1 + i ) ( ω ω τ 2 ω p 2 ) 1 / 2 ( 1 + i ω ω τ ) 1 / 2 .
R ( ω ) = 4 π c ( ω ω τ 2 ω p 2 ) 1 / 2 [ − ω ω τ + ( 1 + ω 2 ω τ 2 ) 1 / 2 ] 1 / 2 .
ω τ = ω ∊ 2 ( 1 − ∊ 1 ) .
ω p 2 = ( 1 − ∊ 1 ) ( ω 2 + ω τ 2 ) .
R ( ω ) Z 0 = ( ω ω τ 2 ω p 2 ) 1 / 2 .

Metrics