Abstract

We discuss ellipsometric measurements using synchrotron radiation and estimate the errors that are due to focusing light onto the sample. Our results lead to the conclusion that ellipsometry is a brightness experiment and can benefit considerably from the use of synchrotron radiation in the mid and far infrared. We report implementation of a synchrotron far-infrared ellipsometer at the U4IR beam line at the National Synchrotron Light Source, Brookhaven National Laboratory, covering the 50700-cm-1 wave-number range. To illustrate the capability of our setup we have determined the complex dielectric function of the ionic insulator LiF and of the heavily doped semiconductor GaAs (n8×1018cm-3). We also report direct measurements of the optical interplane conductivity of single crystalline La2CuO4+δ and a twinned YBa2Cu3O7 crystal. From these data, dynamic atomic effective charges have been determined for La2CuO4+δ.

© 1997 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. Proceedings of the First International Conference on Spectroscopic Ellipsometry (Paris, France), Thin Solid Films 233/234, 1–582 (1993).
  2. D. E. Aspnes, in Optical Properties of Solids, B. O. Seraphin, ed. (North-Holland, Amsterdam, 1976); in Handbook of Optical Properties of Solids, D. Palik, ed. (Academic, Orlando, Fla., 1985).
  3. J. Barth, R. L. Johnson, and M. Cardona, in Handbook of Optical Constants of Solids II, D. Palik, ed. (Academic, Orlando, Fla., 1991).
  4. A. Roeseler, Infrared Ellipsometry (Akademie-Verlag, Berlin, 1991).
  5. J. Bremer, O. Hunderi, Kong Fanping, T. Skauli, and E. Wold, “Infrared ellipsometer for the study of surfaces, thin films, and superlattices,” Appl. Opt. 31, 471 (1992).
    [Crossref] [PubMed]
  6. K.-L. Barth, “Ellipsometrische und interferometrische Spektroskopie hochreflektierender Materialien im Fernen Infrarot,” Ph.D. dissertation (University of Stuttgart, 1991).
  7. K.-L. Barth, D. Böhme, K. Kamarás, F. Keilmann, and M. Cardona, “Far-IR spectroscopic ellipsometer,” Thin Solid Films 233/234, 314 (1993).
    [Crossref]
  8. D. Miller and P. L. Richards, “Use of Kramers–Kronig relations to extract the conductivity of high-Tc superconductors from optical data,” Phys. Rev. B47, 12308 (1993); for a review see T. Timusk and D. Tanner, in Physical Properties of High-Temperature Superconductors III, D. Ginsberg, ed. (World Scientific, Singapore, 1992).
    [Crossref]
  9. R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, Amsterdam, 1970).
  10. K. K. Svitashev, A. I. Semenenko, L. V. Semenenko, and V. K. Sokolov, “Use of a convergent light beam for ellipsometric measurements,” Opt. Spectrosc. (USSR) 30, 288 (1971).
  11. K. K. Svitashev, A. I. Semenenko, L. V. Semenenko, and V. K. Sokolov, “Ellipsometry based on a convergent light beam,” Opt. Spectrosc. (USSR) 34, 542 (1973).
  12. D. O. Barsukov, G. M. Gusakov, and A. A. Komarnitskii, “Precision ellipsometry based on a focussed light beam,” Opt. Spectrosc. (USSR) 64, 782 (1988).
  13. W. D. Duncan and G. P. Williams, “Infrared synchrotron radiation from electron storage rings,” Appl. Opt. 22, 2914 (1983).
    [Crossref] [PubMed]
  14. G. P. Williams, C. J. Hirschmugl, E. M. Kneedler, E. A. Sullivan, D. P. Siddons, Y. J. Chabal, F. Hoffmann, and K. D. Moeller, “Infrared synchrotron radiation measurements at Brookhaven,” Rev. Sci. Instrum. 60, 2176 (1989).
    [Crossref]
  15. I. Tanaka and H. Kojima, “Superconducting single crystals,” Nature (London) 337, 21 (1989).
    [Crossref]
  16. D. E. Aspnes, “Approximate solution of ellipsometric equations for optically biaxial crystals,” J. Opt. Soc. Am. 70, 1275 (1980).
    [Crossref] [PubMed]
  17. S. Logothetidis, M. Cardona, P. Lautenschlager, and M. Garriga, “Temperature dependence of the dielectric function and the interband critical points of CdSe,” Phys. Rev. B 34, 2458 (1986).
    [Crossref]
  18. J. Kircher, M. Alouani, M. Garriga, P. Murugaraj, J. Maier, C. Thomsen, M. Cardona, O. K. Andersen, and O. Jepsen, “Anisotropy of the dielectric function in YBa2Cu3O6,” Phys. Rev. B 40, 7368 (1989).
    [Crossref]
  19. K.-H. Hellwege, ed., Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology, New Series (Springer-Verlag, Berlin, 1979), Grp. III, Vol. 17a, p. 529.
  20. G. Irmer, M. Wenzel, and J. Monecke, “The temperature dependence of the LO(Γ)- and TO(Γ)-phonons in GaAs and InP,” submitted to Phys. Status Solidi.
  21. R. T. Holm, J. W. Gibson, and E. D. Palik, “Infrared reflectance studies of bulk and epitaxial-film n-type GaAs,” J. Appl. Phys. 48, 212 (1977).
    [Crossref]
  22. R. H. Lyddane, R. G. Sachs, and E. Teller, “On the polar vibrations of alkali halides,” Phys. Rev. 59, 673 (1941).
    [Crossref]
  23. M. Gottlieb, “Optical properties of lithium fluoride in the infrared,” J. Opt. Soc. Am. 50, 343 (1960).
    [Crossref]
  24. W. H. Weber, C. R. Peters, and E. M. Logothetis, “Raman studies of lanthanum cuprate superconductors,” J. Opt. Soc. Am. B 6, 455 (1989).
    [Crossref]
  25. R. Henn, J. Kircher, M. Cardona, A. Wittlin, V. H. M. Duijn, and A. A. Menovsky, “Far-infrared c-axis response of La1.87Sr0.13CuO4 determined by ellipsometry,” Phys. Rev. B 53, 9353 (1996).
    [Crossref]
  26. W. Reichardt, Institut für Nukleare Festkövperphysik, Forschungszentrum Karlsruhe, Postfach 3640, 76021 Karlsruhe, Germany (personal communication, 1996).
  27. M. Mostoller, J. Zhang, A. M. Rao, and P. C. Eklund, “Lattice vibrations in La2CuO4,” Phys. Rev. B 41, 6488 (1990).
    [Crossref]
  28. S. Tajima, J. Schützmann, S. Miyamoto, G. P. Gu, S. Koyama, Y. Shiohara, and N. f Koshizuka, “Optical study of charge dynamics along the c-axis in high-Tc superconductors,” J. Superconduct. 7, 475 (1994).
    [Crossref]
  29. M. A. Quijada, D. B. Tanner, F. C. Chou, D. C. Johnston, and S.-W. Cheong, “Optical properties of single-crystal La2CuO4+δ,” Phys. Rev. B 52, 15485 (1995).
    [Crossref]
  30. K. Tamasaku, Y. Nakamura, and S. Uchida, “Charge dynamics across the CuO2 planes in La2-xSrxCuO4,” Phys. Rev. Lett. 69, 1455 (1992).
    [Crossref] [PubMed]
  31. J. W. Powell, G. S. Edwards, L. Genzel, F. Kremer, A. Wittlin, W. Kubasek, and W. Peticolas, “Investigation of far-infrared vibrational modes in polynucleotides,” Phys. Rev. A 35, 3929 (1987).
    [Crossref] [PubMed]
  32. R. E. Cohen, W. E. Picket, H. Krakauer, and L. L. Boyer, “Application of ionic models to the high-temperature superconductor La2CuO4,” Physica B 150, 61 (1988).
    [Crossref]
  33. A. P. Litvinchuk, C. Thomsen, and M. Cardona, Physical Properties of High-Temperature Superconductors IV, D. Ginsberg, ed. (World Scientific, Singapore, 1994).
  34. J. Schützmann, S. Tajima, S. Miyamoto, Y. Sato, and R. Hauff, “Doping and temperature dependence of c-axis optical phonons in YBa2Cu3O7 single crystals,” Phys. Rev. B 52, 13665 (1995).
    [Crossref]
  35. C. C. Homes, T. Timusk, D. A. Bonn, R. Liang, and W. N. Hardy, “Optical phonons polarized along the c-axis of YBa2Cu3O6+x for x=0.5→0.95,” accepted for publication in a special issue of the Can. J. Phys. in honor of B. N. Brockhouse.
  36. P. Etchegoin, J. Kircher, and M. Cardona, “Elasto-optical constants of Si,” Phys. Rev. B 47, 10282 (1993).
    [Crossref]

1996 (1)

R. Henn, J. Kircher, M. Cardona, A. Wittlin, V. H. M. Duijn, and A. A. Menovsky, “Far-infrared c-axis response of La1.87Sr0.13CuO4 determined by ellipsometry,” Phys. Rev. B 53, 9353 (1996).
[Crossref]

1995 (2)

M. A. Quijada, D. B. Tanner, F. C. Chou, D. C. Johnston, and S.-W. Cheong, “Optical properties of single-crystal La2CuO4+δ,” Phys. Rev. B 52, 15485 (1995).
[Crossref]

J. Schützmann, S. Tajima, S. Miyamoto, Y. Sato, and R. Hauff, “Doping and temperature dependence of c-axis optical phonons in YBa2Cu3O7 single crystals,” Phys. Rev. B 52, 13665 (1995).
[Crossref]

1994 (1)

S. Tajima, J. Schützmann, S. Miyamoto, G. P. Gu, S. Koyama, Y. Shiohara, and N. f Koshizuka, “Optical study of charge dynamics along the c-axis in high-Tc superconductors,” J. Superconduct. 7, 475 (1994).
[Crossref]

1993 (3)

P. Etchegoin, J. Kircher, and M. Cardona, “Elasto-optical constants of Si,” Phys. Rev. B 47, 10282 (1993).
[Crossref]

Proceedings of the First International Conference on Spectroscopic Ellipsometry (Paris, France), Thin Solid Films 233/234, 1–582 (1993).

K.-L. Barth, D. Böhme, K. Kamarás, F. Keilmann, and M. Cardona, “Far-IR spectroscopic ellipsometer,” Thin Solid Films 233/234, 314 (1993).
[Crossref]

1992 (2)

1990 (1)

M. Mostoller, J. Zhang, A. M. Rao, and P. C. Eklund, “Lattice vibrations in La2CuO4,” Phys. Rev. B 41, 6488 (1990).
[Crossref]

1989 (4)

W. H. Weber, C. R. Peters, and E. M. Logothetis, “Raman studies of lanthanum cuprate superconductors,” J. Opt. Soc. Am. B 6, 455 (1989).
[Crossref]

J. Kircher, M. Alouani, M. Garriga, P. Murugaraj, J. Maier, C. Thomsen, M. Cardona, O. K. Andersen, and O. Jepsen, “Anisotropy of the dielectric function in YBa2Cu3O6,” Phys. Rev. B 40, 7368 (1989).
[Crossref]

G. P. Williams, C. J. Hirschmugl, E. M. Kneedler, E. A. Sullivan, D. P. Siddons, Y. J. Chabal, F. Hoffmann, and K. D. Moeller, “Infrared synchrotron radiation measurements at Brookhaven,” Rev. Sci. Instrum. 60, 2176 (1989).
[Crossref]

I. Tanaka and H. Kojima, “Superconducting single crystals,” Nature (London) 337, 21 (1989).
[Crossref]

1988 (2)

D. O. Barsukov, G. M. Gusakov, and A. A. Komarnitskii, “Precision ellipsometry based on a focussed light beam,” Opt. Spectrosc. (USSR) 64, 782 (1988).

R. E. Cohen, W. E. Picket, H. Krakauer, and L. L. Boyer, “Application of ionic models to the high-temperature superconductor La2CuO4,” Physica B 150, 61 (1988).
[Crossref]

1987 (1)

J. W. Powell, G. S. Edwards, L. Genzel, F. Kremer, A. Wittlin, W. Kubasek, and W. Peticolas, “Investigation of far-infrared vibrational modes in polynucleotides,” Phys. Rev. A 35, 3929 (1987).
[Crossref] [PubMed]

1986 (1)

S. Logothetidis, M. Cardona, P. Lautenschlager, and M. Garriga, “Temperature dependence of the dielectric function and the interband critical points of CdSe,” Phys. Rev. B 34, 2458 (1986).
[Crossref]

1983 (1)

1980 (1)

1977 (1)

R. T. Holm, J. W. Gibson, and E. D. Palik, “Infrared reflectance studies of bulk and epitaxial-film n-type GaAs,” J. Appl. Phys. 48, 212 (1977).
[Crossref]

1973 (1)

K. K. Svitashev, A. I. Semenenko, L. V. Semenenko, and V. K. Sokolov, “Ellipsometry based on a convergent light beam,” Opt. Spectrosc. (USSR) 34, 542 (1973).

1971 (1)

K. K. Svitashev, A. I. Semenenko, L. V. Semenenko, and V. K. Sokolov, “Use of a convergent light beam for ellipsometric measurements,” Opt. Spectrosc. (USSR) 30, 288 (1971).

1960 (1)

1941 (1)

R. H. Lyddane, R. G. Sachs, and E. Teller, “On the polar vibrations of alkali halides,” Phys. Rev. 59, 673 (1941).
[Crossref]

Alouani, M.

J. Kircher, M. Alouani, M. Garriga, P. Murugaraj, J. Maier, C. Thomsen, M. Cardona, O. K. Andersen, and O. Jepsen, “Anisotropy of the dielectric function in YBa2Cu3O6,” Phys. Rev. B 40, 7368 (1989).
[Crossref]

Andersen, O. K.

J. Kircher, M. Alouani, M. Garriga, P. Murugaraj, J. Maier, C. Thomsen, M. Cardona, O. K. Andersen, and O. Jepsen, “Anisotropy of the dielectric function in YBa2Cu3O6,” Phys. Rev. B 40, 7368 (1989).
[Crossref]

Aspnes, D. E.

D. E. Aspnes, “Approximate solution of ellipsometric equations for optically biaxial crystals,” J. Opt. Soc. Am. 70, 1275 (1980).
[Crossref] [PubMed]

D. E. Aspnes, in Optical Properties of Solids, B. O. Seraphin, ed. (North-Holland, Amsterdam, 1976); in Handbook of Optical Properties of Solids, D. Palik, ed. (Academic, Orlando, Fla., 1985).

Azzam, R. M. A.

R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, Amsterdam, 1970).

Barsukov, D. O.

D. O. Barsukov, G. M. Gusakov, and A. A. Komarnitskii, “Precision ellipsometry based on a focussed light beam,” Opt. Spectrosc. (USSR) 64, 782 (1988).

Barth, J.

J. Barth, R. L. Johnson, and M. Cardona, in Handbook of Optical Constants of Solids II, D. Palik, ed. (Academic, Orlando, Fla., 1991).

Barth, K.-L.

K.-L. Barth, D. Böhme, K. Kamarás, F. Keilmann, and M. Cardona, “Far-IR spectroscopic ellipsometer,” Thin Solid Films 233/234, 314 (1993).
[Crossref]

K.-L. Barth, “Ellipsometrische und interferometrische Spektroskopie hochreflektierender Materialien im Fernen Infrarot,” Ph.D. dissertation (University of Stuttgart, 1991).

Bashara, N. M.

R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, Amsterdam, 1970).

Böhme, D.

K.-L. Barth, D. Böhme, K. Kamarás, F. Keilmann, and M. Cardona, “Far-IR spectroscopic ellipsometer,” Thin Solid Films 233/234, 314 (1993).
[Crossref]

Bonn, D. A.

C. C. Homes, T. Timusk, D. A. Bonn, R. Liang, and W. N. Hardy, “Optical phonons polarized along the c-axis of YBa2Cu3O6+x for x=0.5→0.95,” accepted for publication in a special issue of the Can. J. Phys. in honor of B. N. Brockhouse.

Boyer, L. L.

R. E. Cohen, W. E. Picket, H. Krakauer, and L. L. Boyer, “Application of ionic models to the high-temperature superconductor La2CuO4,” Physica B 150, 61 (1988).
[Crossref]

Bremer, J.

Cardona, M.

R. Henn, J. Kircher, M. Cardona, A. Wittlin, V. H. M. Duijn, and A. A. Menovsky, “Far-infrared c-axis response of La1.87Sr0.13CuO4 determined by ellipsometry,” Phys. Rev. B 53, 9353 (1996).
[Crossref]

K.-L. Barth, D. Böhme, K. Kamarás, F. Keilmann, and M. Cardona, “Far-IR spectroscopic ellipsometer,” Thin Solid Films 233/234, 314 (1993).
[Crossref]

P. Etchegoin, J. Kircher, and M. Cardona, “Elasto-optical constants of Si,” Phys. Rev. B 47, 10282 (1993).
[Crossref]

J. Kircher, M. Alouani, M. Garriga, P. Murugaraj, J. Maier, C. Thomsen, M. Cardona, O. K. Andersen, and O. Jepsen, “Anisotropy of the dielectric function in YBa2Cu3O6,” Phys. Rev. B 40, 7368 (1989).
[Crossref]

S. Logothetidis, M. Cardona, P. Lautenschlager, and M. Garriga, “Temperature dependence of the dielectric function and the interband critical points of CdSe,” Phys. Rev. B 34, 2458 (1986).
[Crossref]

J. Barth, R. L. Johnson, and M. Cardona, in Handbook of Optical Constants of Solids II, D. Palik, ed. (Academic, Orlando, Fla., 1991).

A. P. Litvinchuk, C. Thomsen, and M. Cardona, Physical Properties of High-Temperature Superconductors IV, D. Ginsberg, ed. (World Scientific, Singapore, 1994).

Chabal, Y. J.

G. P. Williams, C. J. Hirschmugl, E. M. Kneedler, E. A. Sullivan, D. P. Siddons, Y. J. Chabal, F. Hoffmann, and K. D. Moeller, “Infrared synchrotron radiation measurements at Brookhaven,” Rev. Sci. Instrum. 60, 2176 (1989).
[Crossref]

Cheong, S.-W.

M. A. Quijada, D. B. Tanner, F. C. Chou, D. C. Johnston, and S.-W. Cheong, “Optical properties of single-crystal La2CuO4+δ,” Phys. Rev. B 52, 15485 (1995).
[Crossref]

Chou, F. C.

M. A. Quijada, D. B. Tanner, F. C. Chou, D. C. Johnston, and S.-W. Cheong, “Optical properties of single-crystal La2CuO4+δ,” Phys. Rev. B 52, 15485 (1995).
[Crossref]

Cohen, R. E.

R. E. Cohen, W. E. Picket, H. Krakauer, and L. L. Boyer, “Application of ionic models to the high-temperature superconductor La2CuO4,” Physica B 150, 61 (1988).
[Crossref]

Duijn, V. H. M.

R. Henn, J. Kircher, M. Cardona, A. Wittlin, V. H. M. Duijn, and A. A. Menovsky, “Far-infrared c-axis response of La1.87Sr0.13CuO4 determined by ellipsometry,” Phys. Rev. B 53, 9353 (1996).
[Crossref]

Duncan, W. D.

Edwards, G. S.

J. W. Powell, G. S. Edwards, L. Genzel, F. Kremer, A. Wittlin, W. Kubasek, and W. Peticolas, “Investigation of far-infrared vibrational modes in polynucleotides,” Phys. Rev. A 35, 3929 (1987).
[Crossref] [PubMed]

Eklund, P. C.

M. Mostoller, J. Zhang, A. M. Rao, and P. C. Eklund, “Lattice vibrations in La2CuO4,” Phys. Rev. B 41, 6488 (1990).
[Crossref]

Etchegoin, P.

P. Etchegoin, J. Kircher, and M. Cardona, “Elasto-optical constants of Si,” Phys. Rev. B 47, 10282 (1993).
[Crossref]

Fanping, Kong

Garriga, M.

J. Kircher, M. Alouani, M. Garriga, P. Murugaraj, J. Maier, C. Thomsen, M. Cardona, O. K. Andersen, and O. Jepsen, “Anisotropy of the dielectric function in YBa2Cu3O6,” Phys. Rev. B 40, 7368 (1989).
[Crossref]

S. Logothetidis, M. Cardona, P. Lautenschlager, and M. Garriga, “Temperature dependence of the dielectric function and the interband critical points of CdSe,” Phys. Rev. B 34, 2458 (1986).
[Crossref]

Genzel, L.

J. W. Powell, G. S. Edwards, L. Genzel, F. Kremer, A. Wittlin, W. Kubasek, and W. Peticolas, “Investigation of far-infrared vibrational modes in polynucleotides,” Phys. Rev. A 35, 3929 (1987).
[Crossref] [PubMed]

Gibson, J. W.

R. T. Holm, J. W. Gibson, and E. D. Palik, “Infrared reflectance studies of bulk and epitaxial-film n-type GaAs,” J. Appl. Phys. 48, 212 (1977).
[Crossref]

Gottlieb, M.

Gu, G. P.

S. Tajima, J. Schützmann, S. Miyamoto, G. P. Gu, S. Koyama, Y. Shiohara, and N. f Koshizuka, “Optical study of charge dynamics along the c-axis in high-Tc superconductors,” J. Superconduct. 7, 475 (1994).
[Crossref]

Gusakov, G. M.

D. O. Barsukov, G. M. Gusakov, and A. A. Komarnitskii, “Precision ellipsometry based on a focussed light beam,” Opt. Spectrosc. (USSR) 64, 782 (1988).

Hardy, W. N.

C. C. Homes, T. Timusk, D. A. Bonn, R. Liang, and W. N. Hardy, “Optical phonons polarized along the c-axis of YBa2Cu3O6+x for x=0.5→0.95,” accepted for publication in a special issue of the Can. J. Phys. in honor of B. N. Brockhouse.

Hauff, R.

J. Schützmann, S. Tajima, S. Miyamoto, Y. Sato, and R. Hauff, “Doping and temperature dependence of c-axis optical phonons in YBa2Cu3O7 single crystals,” Phys. Rev. B 52, 13665 (1995).
[Crossref]

Henn, R.

R. Henn, J. Kircher, M. Cardona, A. Wittlin, V. H. M. Duijn, and A. A. Menovsky, “Far-infrared c-axis response of La1.87Sr0.13CuO4 determined by ellipsometry,” Phys. Rev. B 53, 9353 (1996).
[Crossref]

Hirschmugl, C. J.

G. P. Williams, C. J. Hirschmugl, E. M. Kneedler, E. A. Sullivan, D. P. Siddons, Y. J. Chabal, F. Hoffmann, and K. D. Moeller, “Infrared synchrotron radiation measurements at Brookhaven,” Rev. Sci. Instrum. 60, 2176 (1989).
[Crossref]

Hoffmann, F.

G. P. Williams, C. J. Hirschmugl, E. M. Kneedler, E. A. Sullivan, D. P. Siddons, Y. J. Chabal, F. Hoffmann, and K. D. Moeller, “Infrared synchrotron radiation measurements at Brookhaven,” Rev. Sci. Instrum. 60, 2176 (1989).
[Crossref]

Holm, R. T.

R. T. Holm, J. W. Gibson, and E. D. Palik, “Infrared reflectance studies of bulk and epitaxial-film n-type GaAs,” J. Appl. Phys. 48, 212 (1977).
[Crossref]

Homes, C. C.

C. C. Homes, T. Timusk, D. A. Bonn, R. Liang, and W. N. Hardy, “Optical phonons polarized along the c-axis of YBa2Cu3O6+x for x=0.5→0.95,” accepted for publication in a special issue of the Can. J. Phys. in honor of B. N. Brockhouse.

Hunderi, O.

Irmer, G.

G. Irmer, M. Wenzel, and J. Monecke, “The temperature dependence of the LO(Γ)- and TO(Γ)-phonons in GaAs and InP,” submitted to Phys. Status Solidi.

Jepsen, O.

J. Kircher, M. Alouani, M. Garriga, P. Murugaraj, J. Maier, C. Thomsen, M. Cardona, O. K. Andersen, and O. Jepsen, “Anisotropy of the dielectric function in YBa2Cu3O6,” Phys. Rev. B 40, 7368 (1989).
[Crossref]

Johnson, R. L.

J. Barth, R. L. Johnson, and M. Cardona, in Handbook of Optical Constants of Solids II, D. Palik, ed. (Academic, Orlando, Fla., 1991).

Johnston, D. C.

M. A. Quijada, D. B. Tanner, F. C. Chou, D. C. Johnston, and S.-W. Cheong, “Optical properties of single-crystal La2CuO4+δ,” Phys. Rev. B 52, 15485 (1995).
[Crossref]

Kamarás, K.

K.-L. Barth, D. Böhme, K. Kamarás, F. Keilmann, and M. Cardona, “Far-IR spectroscopic ellipsometer,” Thin Solid Films 233/234, 314 (1993).
[Crossref]

Keilmann, F.

K.-L. Barth, D. Böhme, K. Kamarás, F. Keilmann, and M. Cardona, “Far-IR spectroscopic ellipsometer,” Thin Solid Films 233/234, 314 (1993).
[Crossref]

Kircher, J.

R. Henn, J. Kircher, M. Cardona, A. Wittlin, V. H. M. Duijn, and A. A. Menovsky, “Far-infrared c-axis response of La1.87Sr0.13CuO4 determined by ellipsometry,” Phys. Rev. B 53, 9353 (1996).
[Crossref]

P. Etchegoin, J. Kircher, and M. Cardona, “Elasto-optical constants of Si,” Phys. Rev. B 47, 10282 (1993).
[Crossref]

J. Kircher, M. Alouani, M. Garriga, P. Murugaraj, J. Maier, C. Thomsen, M. Cardona, O. K. Andersen, and O. Jepsen, “Anisotropy of the dielectric function in YBa2Cu3O6,” Phys. Rev. B 40, 7368 (1989).
[Crossref]

Kneedler, E. M.

G. P. Williams, C. J. Hirschmugl, E. M. Kneedler, E. A. Sullivan, D. P. Siddons, Y. J. Chabal, F. Hoffmann, and K. D. Moeller, “Infrared synchrotron radiation measurements at Brookhaven,” Rev. Sci. Instrum. 60, 2176 (1989).
[Crossref]

Kojima, H.

I. Tanaka and H. Kojima, “Superconducting single crystals,” Nature (London) 337, 21 (1989).
[Crossref]

Komarnitskii, A. A.

D. O. Barsukov, G. M. Gusakov, and A. A. Komarnitskii, “Precision ellipsometry based on a focussed light beam,” Opt. Spectrosc. (USSR) 64, 782 (1988).

Koshizuka, N. f

S. Tajima, J. Schützmann, S. Miyamoto, G. P. Gu, S. Koyama, Y. Shiohara, and N. f Koshizuka, “Optical study of charge dynamics along the c-axis in high-Tc superconductors,” J. Superconduct. 7, 475 (1994).
[Crossref]

Koyama, S.

S. Tajima, J. Schützmann, S. Miyamoto, G. P. Gu, S. Koyama, Y. Shiohara, and N. f Koshizuka, “Optical study of charge dynamics along the c-axis in high-Tc superconductors,” J. Superconduct. 7, 475 (1994).
[Crossref]

Krakauer, H.

R. E. Cohen, W. E. Picket, H. Krakauer, and L. L. Boyer, “Application of ionic models to the high-temperature superconductor La2CuO4,” Physica B 150, 61 (1988).
[Crossref]

Kremer, F.

J. W. Powell, G. S. Edwards, L. Genzel, F. Kremer, A. Wittlin, W. Kubasek, and W. Peticolas, “Investigation of far-infrared vibrational modes in polynucleotides,” Phys. Rev. A 35, 3929 (1987).
[Crossref] [PubMed]

Kubasek, W.

J. W. Powell, G. S. Edwards, L. Genzel, F. Kremer, A. Wittlin, W. Kubasek, and W. Peticolas, “Investigation of far-infrared vibrational modes in polynucleotides,” Phys. Rev. A 35, 3929 (1987).
[Crossref] [PubMed]

Lautenschlager, P.

S. Logothetidis, M. Cardona, P. Lautenschlager, and M. Garriga, “Temperature dependence of the dielectric function and the interband critical points of CdSe,” Phys. Rev. B 34, 2458 (1986).
[Crossref]

Liang, R.

C. C. Homes, T. Timusk, D. A. Bonn, R. Liang, and W. N. Hardy, “Optical phonons polarized along the c-axis of YBa2Cu3O6+x for x=0.5→0.95,” accepted for publication in a special issue of the Can. J. Phys. in honor of B. N. Brockhouse.

Litvinchuk, A. P.

A. P. Litvinchuk, C. Thomsen, and M. Cardona, Physical Properties of High-Temperature Superconductors IV, D. Ginsberg, ed. (World Scientific, Singapore, 1994).

Logothetidis, S.

S. Logothetidis, M. Cardona, P. Lautenschlager, and M. Garriga, “Temperature dependence of the dielectric function and the interband critical points of CdSe,” Phys. Rev. B 34, 2458 (1986).
[Crossref]

Logothetis, E. M.

Lyddane, R. H.

R. H. Lyddane, R. G. Sachs, and E. Teller, “On the polar vibrations of alkali halides,” Phys. Rev. 59, 673 (1941).
[Crossref]

Maier, J.

J. Kircher, M. Alouani, M. Garriga, P. Murugaraj, J. Maier, C. Thomsen, M. Cardona, O. K. Andersen, and O. Jepsen, “Anisotropy of the dielectric function in YBa2Cu3O6,” Phys. Rev. B 40, 7368 (1989).
[Crossref]

Menovsky, A. A.

R. Henn, J. Kircher, M. Cardona, A. Wittlin, V. H. M. Duijn, and A. A. Menovsky, “Far-infrared c-axis response of La1.87Sr0.13CuO4 determined by ellipsometry,” Phys. Rev. B 53, 9353 (1996).
[Crossref]

Miller, D.

D. Miller and P. L. Richards, “Use of Kramers–Kronig relations to extract the conductivity of high-Tc superconductors from optical data,” Phys. Rev. B47, 12308 (1993); for a review see T. Timusk and D. Tanner, in Physical Properties of High-Temperature Superconductors III, D. Ginsberg, ed. (World Scientific, Singapore, 1992).
[Crossref]

Miyamoto, S.

J. Schützmann, S. Tajima, S. Miyamoto, Y. Sato, and R. Hauff, “Doping and temperature dependence of c-axis optical phonons in YBa2Cu3O7 single crystals,” Phys. Rev. B 52, 13665 (1995).
[Crossref]

S. Tajima, J. Schützmann, S. Miyamoto, G. P. Gu, S. Koyama, Y. Shiohara, and N. f Koshizuka, “Optical study of charge dynamics along the c-axis in high-Tc superconductors,” J. Superconduct. 7, 475 (1994).
[Crossref]

Moeller, K. D.

G. P. Williams, C. J. Hirschmugl, E. M. Kneedler, E. A. Sullivan, D. P. Siddons, Y. J. Chabal, F. Hoffmann, and K. D. Moeller, “Infrared synchrotron radiation measurements at Brookhaven,” Rev. Sci. Instrum. 60, 2176 (1989).
[Crossref]

Monecke, J.

G. Irmer, M. Wenzel, and J. Monecke, “The temperature dependence of the LO(Γ)- and TO(Γ)-phonons in GaAs and InP,” submitted to Phys. Status Solidi.

Mostoller, M.

M. Mostoller, J. Zhang, A. M. Rao, and P. C. Eklund, “Lattice vibrations in La2CuO4,” Phys. Rev. B 41, 6488 (1990).
[Crossref]

Murugaraj, P.

J. Kircher, M. Alouani, M. Garriga, P. Murugaraj, J. Maier, C. Thomsen, M. Cardona, O. K. Andersen, and O. Jepsen, “Anisotropy of the dielectric function in YBa2Cu3O6,” Phys. Rev. B 40, 7368 (1989).
[Crossref]

Nakamura, Y.

K. Tamasaku, Y. Nakamura, and S. Uchida, “Charge dynamics across the CuO2 planes in La2-xSrxCuO4,” Phys. Rev. Lett. 69, 1455 (1992).
[Crossref] [PubMed]

Palik, E. D.

R. T. Holm, J. W. Gibson, and E. D. Palik, “Infrared reflectance studies of bulk and epitaxial-film n-type GaAs,” J. Appl. Phys. 48, 212 (1977).
[Crossref]

Peters, C. R.

Peticolas, W.

J. W. Powell, G. S. Edwards, L. Genzel, F. Kremer, A. Wittlin, W. Kubasek, and W. Peticolas, “Investigation of far-infrared vibrational modes in polynucleotides,” Phys. Rev. A 35, 3929 (1987).
[Crossref] [PubMed]

Picket, W. E.

R. E. Cohen, W. E. Picket, H. Krakauer, and L. L. Boyer, “Application of ionic models to the high-temperature superconductor La2CuO4,” Physica B 150, 61 (1988).
[Crossref]

Powell, J. W.

J. W. Powell, G. S. Edwards, L. Genzel, F. Kremer, A. Wittlin, W. Kubasek, and W. Peticolas, “Investigation of far-infrared vibrational modes in polynucleotides,” Phys. Rev. A 35, 3929 (1987).
[Crossref] [PubMed]

Quijada, M. A.

M. A. Quijada, D. B. Tanner, F. C. Chou, D. C. Johnston, and S.-W. Cheong, “Optical properties of single-crystal La2CuO4+δ,” Phys. Rev. B 52, 15485 (1995).
[Crossref]

Rao, A. M.

M. Mostoller, J. Zhang, A. M. Rao, and P. C. Eklund, “Lattice vibrations in La2CuO4,” Phys. Rev. B 41, 6488 (1990).
[Crossref]

Reichardt, W.

W. Reichardt, Institut für Nukleare Festkövperphysik, Forschungszentrum Karlsruhe, Postfach 3640, 76021 Karlsruhe, Germany (personal communication, 1996).

Richards, P. L.

D. Miller and P. L. Richards, “Use of Kramers–Kronig relations to extract the conductivity of high-Tc superconductors from optical data,” Phys. Rev. B47, 12308 (1993); for a review see T. Timusk and D. Tanner, in Physical Properties of High-Temperature Superconductors III, D. Ginsberg, ed. (World Scientific, Singapore, 1992).
[Crossref]

Roeseler, A.

A. Roeseler, Infrared Ellipsometry (Akademie-Verlag, Berlin, 1991).

Sachs, R. G.

R. H. Lyddane, R. G. Sachs, and E. Teller, “On the polar vibrations of alkali halides,” Phys. Rev. 59, 673 (1941).
[Crossref]

Sato, Y.

J. Schützmann, S. Tajima, S. Miyamoto, Y. Sato, and R. Hauff, “Doping and temperature dependence of c-axis optical phonons in YBa2Cu3O7 single crystals,” Phys. Rev. B 52, 13665 (1995).
[Crossref]

Schützmann, J.

J. Schützmann, S. Tajima, S. Miyamoto, Y. Sato, and R. Hauff, “Doping and temperature dependence of c-axis optical phonons in YBa2Cu3O7 single crystals,” Phys. Rev. B 52, 13665 (1995).
[Crossref]

S. Tajima, J. Schützmann, S. Miyamoto, G. P. Gu, S. Koyama, Y. Shiohara, and N. f Koshizuka, “Optical study of charge dynamics along the c-axis in high-Tc superconductors,” J. Superconduct. 7, 475 (1994).
[Crossref]

Semenenko, A. I.

K. K. Svitashev, A. I. Semenenko, L. V. Semenenko, and V. K. Sokolov, “Ellipsometry based on a convergent light beam,” Opt. Spectrosc. (USSR) 34, 542 (1973).

K. K. Svitashev, A. I. Semenenko, L. V. Semenenko, and V. K. Sokolov, “Use of a convergent light beam for ellipsometric measurements,” Opt. Spectrosc. (USSR) 30, 288 (1971).

Semenenko, L. V.

K. K. Svitashev, A. I. Semenenko, L. V. Semenenko, and V. K. Sokolov, “Ellipsometry based on a convergent light beam,” Opt. Spectrosc. (USSR) 34, 542 (1973).

K. K. Svitashev, A. I. Semenenko, L. V. Semenenko, and V. K. Sokolov, “Use of a convergent light beam for ellipsometric measurements,” Opt. Spectrosc. (USSR) 30, 288 (1971).

Shiohara, Y.

S. Tajima, J. Schützmann, S. Miyamoto, G. P. Gu, S. Koyama, Y. Shiohara, and N. f Koshizuka, “Optical study of charge dynamics along the c-axis in high-Tc superconductors,” J. Superconduct. 7, 475 (1994).
[Crossref]

Siddons, D. P.

G. P. Williams, C. J. Hirschmugl, E. M. Kneedler, E. A. Sullivan, D. P. Siddons, Y. J. Chabal, F. Hoffmann, and K. D. Moeller, “Infrared synchrotron radiation measurements at Brookhaven,” Rev. Sci. Instrum. 60, 2176 (1989).
[Crossref]

Skauli, T.

Sokolov, V. K.

K. K. Svitashev, A. I. Semenenko, L. V. Semenenko, and V. K. Sokolov, “Ellipsometry based on a convergent light beam,” Opt. Spectrosc. (USSR) 34, 542 (1973).

K. K. Svitashev, A. I. Semenenko, L. V. Semenenko, and V. K. Sokolov, “Use of a convergent light beam for ellipsometric measurements,” Opt. Spectrosc. (USSR) 30, 288 (1971).

Sullivan, E. A.

G. P. Williams, C. J. Hirschmugl, E. M. Kneedler, E. A. Sullivan, D. P. Siddons, Y. J. Chabal, F. Hoffmann, and K. D. Moeller, “Infrared synchrotron radiation measurements at Brookhaven,” Rev. Sci. Instrum. 60, 2176 (1989).
[Crossref]

Svitashev, K. K.

K. K. Svitashev, A. I. Semenenko, L. V. Semenenko, and V. K. Sokolov, “Ellipsometry based on a convergent light beam,” Opt. Spectrosc. (USSR) 34, 542 (1973).

K. K. Svitashev, A. I. Semenenko, L. V. Semenenko, and V. K. Sokolov, “Use of a convergent light beam for ellipsometric measurements,” Opt. Spectrosc. (USSR) 30, 288 (1971).

Tajima, S.

J. Schützmann, S. Tajima, S. Miyamoto, Y. Sato, and R. Hauff, “Doping and temperature dependence of c-axis optical phonons in YBa2Cu3O7 single crystals,” Phys. Rev. B 52, 13665 (1995).
[Crossref]

S. Tajima, J. Schützmann, S. Miyamoto, G. P. Gu, S. Koyama, Y. Shiohara, and N. f Koshizuka, “Optical study of charge dynamics along the c-axis in high-Tc superconductors,” J. Superconduct. 7, 475 (1994).
[Crossref]

Tamasaku, K.

K. Tamasaku, Y. Nakamura, and S. Uchida, “Charge dynamics across the CuO2 planes in La2-xSrxCuO4,” Phys. Rev. Lett. 69, 1455 (1992).
[Crossref] [PubMed]

Tanaka, I.

I. Tanaka and H. Kojima, “Superconducting single crystals,” Nature (London) 337, 21 (1989).
[Crossref]

Tanner, D. B.

M. A. Quijada, D. B. Tanner, F. C. Chou, D. C. Johnston, and S.-W. Cheong, “Optical properties of single-crystal La2CuO4+δ,” Phys. Rev. B 52, 15485 (1995).
[Crossref]

Teller, E.

R. H. Lyddane, R. G. Sachs, and E. Teller, “On the polar vibrations of alkali halides,” Phys. Rev. 59, 673 (1941).
[Crossref]

Thomsen, C.

J. Kircher, M. Alouani, M. Garriga, P. Murugaraj, J. Maier, C. Thomsen, M. Cardona, O. K. Andersen, and O. Jepsen, “Anisotropy of the dielectric function in YBa2Cu3O6,” Phys. Rev. B 40, 7368 (1989).
[Crossref]

A. P. Litvinchuk, C. Thomsen, and M. Cardona, Physical Properties of High-Temperature Superconductors IV, D. Ginsberg, ed. (World Scientific, Singapore, 1994).

Timusk, T.

C. C. Homes, T. Timusk, D. A. Bonn, R. Liang, and W. N. Hardy, “Optical phonons polarized along the c-axis of YBa2Cu3O6+x for x=0.5→0.95,” accepted for publication in a special issue of the Can. J. Phys. in honor of B. N. Brockhouse.

Uchida, S.

K. Tamasaku, Y. Nakamura, and S. Uchida, “Charge dynamics across the CuO2 planes in La2-xSrxCuO4,” Phys. Rev. Lett. 69, 1455 (1992).
[Crossref] [PubMed]

Weber, W. H.

Wenzel, M.

G. Irmer, M. Wenzel, and J. Monecke, “The temperature dependence of the LO(Γ)- and TO(Γ)-phonons in GaAs and InP,” submitted to Phys. Status Solidi.

Williams, G. P.

G. P. Williams, C. J. Hirschmugl, E. M. Kneedler, E. A. Sullivan, D. P. Siddons, Y. J. Chabal, F. Hoffmann, and K. D. Moeller, “Infrared synchrotron radiation measurements at Brookhaven,” Rev. Sci. Instrum. 60, 2176 (1989).
[Crossref]

W. D. Duncan and G. P. Williams, “Infrared synchrotron radiation from electron storage rings,” Appl. Opt. 22, 2914 (1983).
[Crossref] [PubMed]

Wittlin, A.

R. Henn, J. Kircher, M. Cardona, A. Wittlin, V. H. M. Duijn, and A. A. Menovsky, “Far-infrared c-axis response of La1.87Sr0.13CuO4 determined by ellipsometry,” Phys. Rev. B 53, 9353 (1996).
[Crossref]

J. W. Powell, G. S. Edwards, L. Genzel, F. Kremer, A. Wittlin, W. Kubasek, and W. Peticolas, “Investigation of far-infrared vibrational modes in polynucleotides,” Phys. Rev. A 35, 3929 (1987).
[Crossref] [PubMed]

Wold, E.

Zhang, J.

M. Mostoller, J. Zhang, A. M. Rao, and P. C. Eklund, “Lattice vibrations in La2CuO4,” Phys. Rev. B 41, 6488 (1990).
[Crossref]

Appl. Opt. (2)

J. Appl. Phys. (1)

R. T. Holm, J. W. Gibson, and E. D. Palik, “Infrared reflectance studies of bulk and epitaxial-film n-type GaAs,” J. Appl. Phys. 48, 212 (1977).
[Crossref]

J. Opt. Soc. Am. (2)

J. Opt. Soc. Am. B (1)

J. Superconduct. (1)

S. Tajima, J. Schützmann, S. Miyamoto, G. P. Gu, S. Koyama, Y. Shiohara, and N. f Koshizuka, “Optical study of charge dynamics along the c-axis in high-Tc superconductors,” J. Superconduct. 7, 475 (1994).
[Crossref]

Nature (London) (1)

I. Tanaka and H. Kojima, “Superconducting single crystals,” Nature (London) 337, 21 (1989).
[Crossref]

Opt. Spectrosc. (USSR) (3)

K. K. Svitashev, A. I. Semenenko, L. V. Semenenko, and V. K. Sokolov, “Use of a convergent light beam for ellipsometric measurements,” Opt. Spectrosc. (USSR) 30, 288 (1971).

K. K. Svitashev, A. I. Semenenko, L. V. Semenenko, and V. K. Sokolov, “Ellipsometry based on a convergent light beam,” Opt. Spectrosc. (USSR) 34, 542 (1973).

D. O. Barsukov, G. M. Gusakov, and A. A. Komarnitskii, “Precision ellipsometry based on a focussed light beam,” Opt. Spectrosc. (USSR) 64, 782 (1988).

Phys. Rev. (1)

R. H. Lyddane, R. G. Sachs, and E. Teller, “On the polar vibrations of alkali halides,” Phys. Rev. 59, 673 (1941).
[Crossref]

Phys. Rev. A (1)

J. W. Powell, G. S. Edwards, L. Genzel, F. Kremer, A. Wittlin, W. Kubasek, and W. Peticolas, “Investigation of far-infrared vibrational modes in polynucleotides,” Phys. Rev. A 35, 3929 (1987).
[Crossref] [PubMed]

Phys. Rev. B (7)

M. A. Quijada, D. B. Tanner, F. C. Chou, D. C. Johnston, and S.-W. Cheong, “Optical properties of single-crystal La2CuO4+δ,” Phys. Rev. B 52, 15485 (1995).
[Crossref]

J. Schützmann, S. Tajima, S. Miyamoto, Y. Sato, and R. Hauff, “Doping and temperature dependence of c-axis optical phonons in YBa2Cu3O7 single crystals,” Phys. Rev. B 52, 13665 (1995).
[Crossref]

P. Etchegoin, J. Kircher, and M. Cardona, “Elasto-optical constants of Si,” Phys. Rev. B 47, 10282 (1993).
[Crossref]

M. Mostoller, J. Zhang, A. M. Rao, and P. C. Eklund, “Lattice vibrations in La2CuO4,” Phys. Rev. B 41, 6488 (1990).
[Crossref]

R. Henn, J. Kircher, M. Cardona, A. Wittlin, V. H. M. Duijn, and A. A. Menovsky, “Far-infrared c-axis response of La1.87Sr0.13CuO4 determined by ellipsometry,” Phys. Rev. B 53, 9353 (1996).
[Crossref]

S. Logothetidis, M. Cardona, P. Lautenschlager, and M. Garriga, “Temperature dependence of the dielectric function and the interband critical points of CdSe,” Phys. Rev. B 34, 2458 (1986).
[Crossref]

J. Kircher, M. Alouani, M. Garriga, P. Murugaraj, J. Maier, C. Thomsen, M. Cardona, O. K. Andersen, and O. Jepsen, “Anisotropy of the dielectric function in YBa2Cu3O6,” Phys. Rev. B 40, 7368 (1989).
[Crossref]

Phys. Rev. Lett. (1)

K. Tamasaku, Y. Nakamura, and S. Uchida, “Charge dynamics across the CuO2 planes in La2-xSrxCuO4,” Phys. Rev. Lett. 69, 1455 (1992).
[Crossref] [PubMed]

Physica B (1)

R. E. Cohen, W. E. Picket, H. Krakauer, and L. L. Boyer, “Application of ionic models to the high-temperature superconductor La2CuO4,” Physica B 150, 61 (1988).
[Crossref]

Rev. Sci. Instrum. (1)

G. P. Williams, C. J. Hirschmugl, E. M. Kneedler, E. A. Sullivan, D. P. Siddons, Y. J. Chabal, F. Hoffmann, and K. D. Moeller, “Infrared synchrotron radiation measurements at Brookhaven,” Rev. Sci. Instrum. 60, 2176 (1989).
[Crossref]

Thin Solid Films (2)

K.-L. Barth, D. Böhme, K. Kamarás, F. Keilmann, and M. Cardona, “Far-IR spectroscopic ellipsometer,” Thin Solid Films 233/234, 314 (1993).
[Crossref]

Proceedings of the First International Conference on Spectroscopic Ellipsometry (Paris, France), Thin Solid Films 233/234, 1–582 (1993).

Other (11)

D. E. Aspnes, in Optical Properties of Solids, B. O. Seraphin, ed. (North-Holland, Amsterdam, 1976); in Handbook of Optical Properties of Solids, D. Palik, ed. (Academic, Orlando, Fla., 1985).

J. Barth, R. L. Johnson, and M. Cardona, in Handbook of Optical Constants of Solids II, D. Palik, ed. (Academic, Orlando, Fla., 1991).

A. Roeseler, Infrared Ellipsometry (Akademie-Verlag, Berlin, 1991).

D. Miller and P. L. Richards, “Use of Kramers–Kronig relations to extract the conductivity of high-Tc superconductors from optical data,” Phys. Rev. B47, 12308 (1993); for a review see T. Timusk and D. Tanner, in Physical Properties of High-Temperature Superconductors III, D. Ginsberg, ed. (World Scientific, Singapore, 1992).
[Crossref]

R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, Amsterdam, 1970).

K.-L. Barth, “Ellipsometrische und interferometrische Spektroskopie hochreflektierender Materialien im Fernen Infrarot,” Ph.D. dissertation (University of Stuttgart, 1991).

K.-H. Hellwege, ed., Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology, New Series (Springer-Verlag, Berlin, 1979), Grp. III, Vol. 17a, p. 529.

G. Irmer, M. Wenzel, and J. Monecke, “The temperature dependence of the LO(Γ)- and TO(Γ)-phonons in GaAs and InP,” submitted to Phys. Status Solidi.

A. P. Litvinchuk, C. Thomsen, and M. Cardona, Physical Properties of High-Temperature Superconductors IV, D. Ginsberg, ed. (World Scientific, Singapore, 1994).

C. C. Homes, T. Timusk, D. A. Bonn, R. Liang, and W. N. Hardy, “Optical phonons polarized along the c-axis of YBa2Cu3O6+x for x=0.5→0.95,” accepted for publication in a special issue of the Can. J. Phys. in honor of B. N. Brockhouse.

W. Reichardt, Institut für Nukleare Festkövperphysik, Forschungszentrum Karlsruhe, Postfach 3640, 76021 Karlsruhe, Germany (personal communication, 1996).

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 (7)

Fig. 1
Fig. 1

Simulation of the measured dielectric function ∊̃ as a function of the opening angle Δφ. The angles of incidence are 70° (solid curves), 80° (dashed curves) and 83° (dashed–dotted curves). The inset shows ψ and Δ as a function of the angle of incidence φ. All data presented in this figure assume a sample with a dielectric constant of ˜=-100+i100.

Fig. 2
Fig. 2

Simulation of the measured dielectric function [(a) real part, (b) imaginary part] as a function of the opening angle for different situations: The solid curves correspond to a simulation neglecting any dependence of the intensity of the incoming radiation on the off-axis angle. The dashed–dotted curves represent the simulation accounting for the dependence of the intensity on the off-axis angle given in the inset. These two simulations assume a dielectric function of the sample of ˜=-100+i100, whereas the dashed curves are simulations based on a sample given by ˜=-97+i102, again accounting for the intensity profile given in the inset. The nominal angle of incidence was in all cases 80°.

Fig. 3
Fig. 3

Photon flux for four different situations: blackbody with large and small optical throughputs, NSLS vacuum-UV ring with 750- and 250-mA ring current, both with small optical throughput. For the black body a temperature of 1700 K is assumed.

Fig. 4
Fig. 4

Complex dielectric function obtained for an n-doped GaAs sample (n8×1018cm-3) (symbols). The solid curves correspond to least-squares fits of a Drude and a Lorentz term to 1(ω) and 2(ω) simultaneously. The Lorentz parameters are ωTO=268.3cm-1, Γ=2.6cm-1, and S=1.9, whereas the Drude parameters are ωp=2138cm-1 and Γ=65cm-1. was determined to be 11.1.

Fig. 5
Fig. 5

1(ω) and 2(ω) measured for LiF (symbols). The solid curves represent least-squares fits with one Lorentzian (ωTO=304.2cm-1, Γ=10.4cm-1, S=7.1, and =1.89).

Fig. 6
Fig. 6

c-axis dielectric function of a La2CuO4 single crystal (symbols). The results of least-squares fits of a sum of three Lorentzians to 1(ω) and 2(ω) simultaneously are given by the solid curves. The parameters of this fit are given in Table 2 below.

Fig. 7
Fig. 7

c-axis dielectric function of a twinned YBa2Cu3O7 crystal measured at 300 K.

Tables (4)

Tables Icon

Table 1 , ωTO, ωLO, Oscillator Strength S, and Transverse Effective Charge et* Obtained from Our LiF Data Together with the Values Obtained from Parameters Given by Gottlieb23a

Tables Icon

Table 2 Lorentz Parameters Obtained by a Least-Squares Fit to the La2CuO4 Data Presented in Fig. 6a

Tables Icon

Table 3 Displacements of the Atoms along the c Direction for the A2u Modes in Tetragonal La2CuO4 Computed by Cohen et al.32 Using Local Density Approximation Calculationsa

Tables Icon

Table 4 Lorentz Parameters Obtained by a Least-Squares Fit to the YBa2Cu3O7 Data Presented in Fig. 7a

Equations (11)

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

I(A)=SI0A0[1+α2A cos(2A)+β2A sin(2A)],
A0=(|r˜s|2+|r˜p|2)4(1-cos 2Ψ cos 2P),
α2A=-cos 2Ψ-cos 2P1-cos 2Ψ cos 2P,
β2A=sin 2P cos Δ sin 2Ψ1-cos 2Ψ cos 2P,
tan ΨeiΔr˜pr˜s=sin2 φ-cos φ(˜-sin2 φ)1/2sin2 φ+cos φ(˜-sin2 φ)1/2,
tan Ψ=1+α2A1-α2A1/2|tan P|,
cos Δ=β2A(1-α2A2)1/2sgn P,
tan Ψeff=sin2 Ψ(φ)cos2 Ψ(φ)1/2,
cos Δeff=cos Δ(φ)sin Ψ(φ)cos Ψ(φ)[sin2 Ψ(φ)cos2 Ψ(φ)]1/2,
S=4πet*2e2ωTO2V1m1+1m2,
Sj=4πVk etk*ξkj2ωTOj2k mkξkj2,

Metrics