Abstract

The optical constants n and k have been calculated for fused silica, three silicate glasses, and a phosphate glass from reflectance measurements made in the strong absorption region, from about 7 μ to 13 μ. Plots of the 2nkν product, which corresponds to the conductivity, as a function of frequency are used to determine the location of the resonance frequencies in the infrared.

© 1966 Optical Society of America

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References

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  1. E. R. Lippincott, A. Van Valkenburg, C. E. Weir, E. N. Bunting, J. Res. Natl. Bur. Std. 61, 61 (1958).
    [CrossRef]
  2. I. Simon, H. O. McMahon, J. Chem. Phys. 21, 23 (1953).
    [CrossRef]
  3. R. V. Adams, R. W. Douglas, Glastechn. Ber. 32K, 12 (1959).
  4. S. Anderson, J. Am. Ceram. Soc. 33, 45 (1950).
    [CrossRef]
  5. L. Houziaux, Silicates Ind. 21, 491 (1956).
  6. F. Matossi, H. Bluschke, Z. Physik 108, 295 (1938).
    [CrossRef]
  7. W. Pepperhoff, Z. Electrochem. 58, 520 (1954).
  8. V. A. Florinskaya, R. S. Pechenkina, Glass Ind. 39, 27, 93, 151 (1958).
  9. I. Simon, H. O. McMahon, J. Am. Ceram. Soc. 36, 160 (1953).
    [CrossRef]
  10. J. Vincent-Geisse, J. Lecomte, Appl. Opt. 1, 575 (1962).
    [CrossRef]
  11. T. S. Moss, Optical Properties of Semi-conductors (Academic Press Inc., New York, 1959).
  12. J. Fahrenfort, Infrared Spectroscopy and Molecular Structure, M. Davies, Ed. (Elsevier Publishing Company, New York, 1963), Chap. XI.
  13. M. Gottlieb, J. Opt. Soc. Am. 50, 343 (1960).
    [CrossRef]
  14. W. G. Spitzer, D. A. Kleinman, Phys. Rev. 121, 1324 (1961).
    [CrossRef]
  15. J. Reitzel, J. Chem. Phys. 23, 2407 (1955).
    [CrossRef]
  16. I. Simon, Modern Aspects of the Vitreous State, J. D. Mackenzie, Ed. (Butterworths, Inc., Washington, D. C., 1960) Vol. 1, Chap. 6.
  17. D. J. Williams, B. T. Bradbury, W. R. Maddocks, J. Soc. Glass Tech. 43, 337 (1959).
  18. G. Su, C. Shih, in Proceedings of VII International Congress on Glass, Brussels (1965), to be published by Gordon and Breach, New York, in 1966.
  19. G. Herzberg, Molecular Spectra and Molecular Structure (D. Van Nostrand Company, Inc., New York, 1951), Vol. 2, Infrared and Raman Spectra of Polyatomic Molecules.

1962 (1)

1961 (1)

W. G. Spitzer, D. A. Kleinman, Phys. Rev. 121, 1324 (1961).
[CrossRef]

1960 (1)

1959 (2)

D. J. Williams, B. T. Bradbury, W. R. Maddocks, J. Soc. Glass Tech. 43, 337 (1959).

R. V. Adams, R. W. Douglas, Glastechn. Ber. 32K, 12 (1959).

1958 (2)

E. R. Lippincott, A. Van Valkenburg, C. E. Weir, E. N. Bunting, J. Res. Natl. Bur. Std. 61, 61 (1958).
[CrossRef]

V. A. Florinskaya, R. S. Pechenkina, Glass Ind. 39, 27, 93, 151 (1958).

1956 (1)

L. Houziaux, Silicates Ind. 21, 491 (1956).

1955 (1)

J. Reitzel, J. Chem. Phys. 23, 2407 (1955).
[CrossRef]

1954 (1)

W. Pepperhoff, Z. Electrochem. 58, 520 (1954).

1953 (2)

I. Simon, H. O. McMahon, J. Am. Ceram. Soc. 36, 160 (1953).
[CrossRef]

I. Simon, H. O. McMahon, J. Chem. Phys. 21, 23 (1953).
[CrossRef]

1950 (1)

S. Anderson, J. Am. Ceram. Soc. 33, 45 (1950).
[CrossRef]

1938 (1)

F. Matossi, H. Bluschke, Z. Physik 108, 295 (1938).
[CrossRef]

Adams, R. V.

R. V. Adams, R. W. Douglas, Glastechn. Ber. 32K, 12 (1959).

Anderson, S.

S. Anderson, J. Am. Ceram. Soc. 33, 45 (1950).
[CrossRef]

Bluschke, H.

F. Matossi, H. Bluschke, Z. Physik 108, 295 (1938).
[CrossRef]

Bradbury, B. T.

D. J. Williams, B. T. Bradbury, W. R. Maddocks, J. Soc. Glass Tech. 43, 337 (1959).

Bunting, E. N.

E. R. Lippincott, A. Van Valkenburg, C. E. Weir, E. N. Bunting, J. Res. Natl. Bur. Std. 61, 61 (1958).
[CrossRef]

Douglas, R. W.

R. V. Adams, R. W. Douglas, Glastechn. Ber. 32K, 12 (1959).

Fahrenfort, J.

J. Fahrenfort, Infrared Spectroscopy and Molecular Structure, M. Davies, Ed. (Elsevier Publishing Company, New York, 1963), Chap. XI.

Florinskaya, V. A.

V. A. Florinskaya, R. S. Pechenkina, Glass Ind. 39, 27, 93, 151 (1958).

Gottlieb, M.

Herzberg, G.

G. Herzberg, Molecular Spectra and Molecular Structure (D. Van Nostrand Company, Inc., New York, 1951), Vol. 2, Infrared and Raman Spectra of Polyatomic Molecules.

Houziaux, L.

L. Houziaux, Silicates Ind. 21, 491 (1956).

Kleinman, D. A.

W. G. Spitzer, D. A. Kleinman, Phys. Rev. 121, 1324 (1961).
[CrossRef]

Lecomte, J.

Lippincott, E. R.

E. R. Lippincott, A. Van Valkenburg, C. E. Weir, E. N. Bunting, J. Res. Natl. Bur. Std. 61, 61 (1958).
[CrossRef]

Maddocks, W. R.

D. J. Williams, B. T. Bradbury, W. R. Maddocks, J. Soc. Glass Tech. 43, 337 (1959).

Matossi, F.

F. Matossi, H. Bluschke, Z. Physik 108, 295 (1938).
[CrossRef]

McMahon, H. O.

I. Simon, H. O. McMahon, J. Chem. Phys. 21, 23 (1953).
[CrossRef]

I. Simon, H. O. McMahon, J. Am. Ceram. Soc. 36, 160 (1953).
[CrossRef]

Moss, T. S.

T. S. Moss, Optical Properties of Semi-conductors (Academic Press Inc., New York, 1959).

Pechenkina, R. S.

V. A. Florinskaya, R. S. Pechenkina, Glass Ind. 39, 27, 93, 151 (1958).

Pepperhoff, W.

W. Pepperhoff, Z. Electrochem. 58, 520 (1954).

Reitzel, J.

J. Reitzel, J. Chem. Phys. 23, 2407 (1955).
[CrossRef]

Shih, C.

G. Su, C. Shih, in Proceedings of VII International Congress on Glass, Brussels (1965), to be published by Gordon and Breach, New York, in 1966.

Simon, I.

I. Simon, H. O. McMahon, J. Chem. Phys. 21, 23 (1953).
[CrossRef]

I. Simon, H. O. McMahon, J. Am. Ceram. Soc. 36, 160 (1953).
[CrossRef]

I. Simon, Modern Aspects of the Vitreous State, J. D. Mackenzie, Ed. (Butterworths, Inc., Washington, D. C., 1960) Vol. 1, Chap. 6.

Spitzer, W. G.

W. G. Spitzer, D. A. Kleinman, Phys. Rev. 121, 1324 (1961).
[CrossRef]

Su, G.

G. Su, C. Shih, in Proceedings of VII International Congress on Glass, Brussels (1965), to be published by Gordon and Breach, New York, in 1966.

Van Valkenburg, A.

E. R. Lippincott, A. Van Valkenburg, C. E. Weir, E. N. Bunting, J. Res. Natl. Bur. Std. 61, 61 (1958).
[CrossRef]

Vincent-Geisse, J.

Weir, C. E.

E. R. Lippincott, A. Van Valkenburg, C. E. Weir, E. N. Bunting, J. Res. Natl. Bur. Std. 61, 61 (1958).
[CrossRef]

Williams, D. J.

D. J. Williams, B. T. Bradbury, W. R. Maddocks, J. Soc. Glass Tech. 43, 337 (1959).

Appl. Opt. (1)

Glass Ind. (1)

V. A. Florinskaya, R. S. Pechenkina, Glass Ind. 39, 27, 93, 151 (1958).

Glastechn. Ber. (1)

R. V. Adams, R. W. Douglas, Glastechn. Ber. 32K, 12 (1959).

J. Am. Ceram. Soc. (2)

S. Anderson, J. Am. Ceram. Soc. 33, 45 (1950).
[CrossRef]

I. Simon, H. O. McMahon, J. Am. Ceram. Soc. 36, 160 (1953).
[CrossRef]

J. Chem. Phys. (2)

I. Simon, H. O. McMahon, J. Chem. Phys. 21, 23 (1953).
[CrossRef]

J. Reitzel, J. Chem. Phys. 23, 2407 (1955).
[CrossRef]

J. Opt. Soc. Am. (1)

J. Res. Natl. Bur. Std. (1)

E. R. Lippincott, A. Van Valkenburg, C. E. Weir, E. N. Bunting, J. Res. Natl. Bur. Std. 61, 61 (1958).
[CrossRef]

J. Soc. Glass Tech. (1)

D. J. Williams, B. T. Bradbury, W. R. Maddocks, J. Soc. Glass Tech. 43, 337 (1959).

Phys. Rev. (1)

W. G. Spitzer, D. A. Kleinman, Phys. Rev. 121, 1324 (1961).
[CrossRef]

Silicates Ind. (1)

L. Houziaux, Silicates Ind. 21, 491 (1956).

Z. Electrochem. (1)

W. Pepperhoff, Z. Electrochem. 58, 520 (1954).

Z. Physik (1)

F. Matossi, H. Bluschke, Z. Physik 108, 295 (1938).
[CrossRef]

Other (5)

G. Su, C. Shih, in Proceedings of VII International Congress on Glass, Brussels (1965), to be published by Gordon and Breach, New York, in 1966.

G. Herzberg, Molecular Spectra and Molecular Structure (D. Van Nostrand Company, Inc., New York, 1951), Vol. 2, Infrared and Raman Spectra of Polyatomic Molecules.

T. S. Moss, Optical Properties of Semi-conductors (Academic Press Inc., New York, 1959).

J. Fahrenfort, Infrared Spectroscopy and Molecular Structure, M. Davies, Ed. (Elsevier Publishing Company, New York, 1963), Chap. XI.

I. Simon, Modern Aspects of the Vitreous State, J. D. Mackenzie, Ed. (Butterworths, Inc., Washington, D. C., 1960) Vol. 1, Chap. 6.

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Figures (8)

Fig. 1
Fig. 1

Transmittance (T) of a blown film of fused silica 10 μ thick and reflectance (R) of a plate of fused silica 6 mm thick in the strong absorption region.

Fig. 2
Fig. 2

Plot of n and k values of fused silica. The values of n and k were obtained from reflectance from 7.7 μ to 10.0 μ and from transmittance of two thicknesses of blown film from 10 μ to 12 μ.

Fig. 3
Fig. 3

Plots of the 2nkν product for five oxide glasses.

Fig. 4
Fig. 4

Plot of the R, n, and k values for Glass F 40.

Fig. 5
Fig. 5

Plot of the R, n, and k values for Glass F 586.

Fig. 6
Fig. 6

Plot of the R, n, and k values for Glass F 2059.

Fig. 7
Fig. 7

Plot of the R, n, and k values for Glass F 1329.

Fig. 8
Fig. 8

Plot of the absorption coefficients for five oxide glasses in the region from 7 μ to 12 μ.

Tables (2)

Tables Icon

Table I Glass Compositions in Weight Percent

Tables Icon

Table II Variations in n and k Due to Variations in R for Fused SiO2

Equations (4)

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N = n - i k ,
k = α λ / 4 π .
R = [ ( n - 1 ) 2 + k 2 ] / [ ( n + 1 ) 2 + k 2 ] .
n = [ ( 1 + R ) / ( 1 - R ) ] ± { [ 4 R / ( 1 - R ) 2 ] - k 2 } 1 2 .

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