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

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  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.

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]

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.

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]

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.

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]

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]

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.

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

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]

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]

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]

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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Tables (40)

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

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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.

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

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

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

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

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

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

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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.

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

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

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

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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).

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

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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).

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

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

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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.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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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).

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

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

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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.

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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 .

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