Abstract

Published Kramers-Kronig dispersion-analysis methods have been evaluated and a new technique has been developed for determining the optical indices from transmittance data obtained from thin films supported by a transparent substrate. To solve the problem of the treatment of the phase-shift integral in the observed wings, a previously suggested mean-value-theorem method has been adopted. The unique feature of the new method is the reduction of systematic errors introduced by using the <i>k</i> = 0 approximation. These errors are reduced by the use of a Cauchy relation to generate acceptable <i>k</i> values in the observed wings.

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  1. P. Grant and W. Paul, J. Appl. Phys. 37, 3110 (1966).
  2. P. O. Nilsson, Appl. Opt. 7, 435 (1968).
  3. H. Verleur, J. Opt. Soc. Am. 58, 1356 (1968).
  4. D. Glover and J. Hollenberg, J. Phys. Chem. 73, 880 (1969).
  5. P. Schatz, S. Maeda, and K. Kozima, J. Chem. Phys. 38, 2658 (1963).
  6. S. Maeda, G. Thyagarajan, and P. Schatz, J. Chem. Phys. 39, 3474 (1963).
  7. G. Andermann, A. Caron, and D. Dows, J. Opt. Soc. Am. 55, 1210 (1965).
  8. K. Kozima, W. Suetaka, and P. Schatz, J. Opt. Soc. Am. 56, 181 (1966).
  9. D. Roessler, Brit. J. Appl. Phys. 16, 1119 (1965).
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  11. I. S. Sokolnikoff and E. S. Sokolnikoff, Higher Mathematics for Engineers and Physicists (McGraw-Hill, New York, 1941), pp. 97–101.
  12. G. Andermann and L. Brantley, J. Opt. Soc. Am. 58, 171 (1968).
  13. L. Brantley, G. Andermann, and P. Sakamoto, Spectrosc. Letters 4, 47 (1971).
  14. J. Neufeld and G. Andermann, Appl. Spectrosc. 25, 597 (1971).
  15. G. Andermann and D. Dows, J. Phys. Chem. Solids 28, 1307 (1967).

Andermann, G.

G. Andermann, A. Caron, and D. Dows, J. Opt. Soc. Am. 55, 1210 (1965).

G. Andermann and L. Brantley, J. Opt. Soc. Am. 58, 171 (1968).

L. Brantley, G. Andermann, and P. Sakamoto, Spectrosc. Letters 4, 47 (1971).

J. Neufeld and G. Andermann, Appl. Spectrosc. 25, 597 (1971).

G. Andermann and D. Dows, J. Phys. Chem. Solids 28, 1307 (1967).

Brantley, L.

G. Andermann and L. Brantley, J. Opt. Soc. Am. 58, 171 (1968).

L. Brantley, G. Andermann, and P. Sakamoto, Spectrosc. Letters 4, 47 (1971).

Caron, A.

G. Andermann, A. Caron, and D. Dows, J. Opt. Soc. Am. 55, 1210 (1965).

Dows, D.

G. Andermann, A. Caron, and D. Dows, J. Opt. Soc. Am. 55, 1210 (1965).

G. Andermann and D. Dows, J. Phys. Chem. Solids 28, 1307 (1967).

Glover, D.

D. Glover and J. Hollenberg, J. Phys. Chem. 73, 880 (1969).

Grant, P.

P. Grant and W. Paul, J. Appl. Phys. 37, 3110 (1966).

Heavens, O. S.

O. S. Heavens, Optical Properties of Thin Solid Films (Butterworths, London, 1955), p. 92.

Hollenberg, J.

D. Glover and J. Hollenberg, J. Phys. Chem. 73, 880 (1969).

Kozima, K.

P. Schatz, S. Maeda, and K. Kozima, J. Chem. Phys. 38, 2658 (1963).

K. Kozima, W. Suetaka, and P. Schatz, J. Opt. Soc. Am. 56, 181 (1966).

Maeda, S.

P. Schatz, S. Maeda, and K. Kozima, J. Chem. Phys. 38, 2658 (1963).

S. Maeda, G. Thyagarajan, and P. Schatz, J. Chem. Phys. 39, 3474 (1963).

Neufeld, J.

J. Neufeld and G. Andermann, Appl. Spectrosc. 25, 597 (1971).

Nilsson, P. O.

P. O. Nilsson, Appl. Opt. 7, 435 (1968).

Paul, W.

P. Grant and W. Paul, J. Appl. Phys. 37, 3110 (1966).

Roessler, D.

D. Roessler, Brit. J. Appl. Phys. 16, 1119 (1965).

Sakamoto, P.

L. Brantley, G. Andermann, and P. Sakamoto, Spectrosc. Letters 4, 47 (1971).

Schatz, P.

K. Kozima, W. Suetaka, and P. Schatz, J. Opt. Soc. Am. 56, 181 (1966).

S. Maeda, G. Thyagarajan, and P. Schatz, J. Chem. Phys. 39, 3474 (1963).

P. Schatz, S. Maeda, and K. Kozima, J. Chem. Phys. 38, 2658 (1963).

Sokolnikoff, E. S.

I. S. Sokolnikoff and E. S. Sokolnikoff, Higher Mathematics for Engineers and Physicists (McGraw-Hill, New York, 1941), pp. 97–101.

Sokolnikoff, I. S.

I. S. Sokolnikoff and E. S. Sokolnikoff, Higher Mathematics for Engineers and Physicists (McGraw-Hill, New York, 1941), pp. 97–101.

Suetaka, W.

K. Kozima, W. Suetaka, and P. Schatz, J. Opt. Soc. Am. 56, 181 (1966).

Thyagarajan, G.

S. Maeda, G. Thyagarajan, and P. Schatz, J. Chem. Phys. 39, 3474 (1963).

Verleur, H.

H. Verleur, J. Opt. Soc. Am. 58, 1356 (1968).

Other

P. Grant and W. Paul, J. Appl. Phys. 37, 3110 (1966).

P. O. Nilsson, Appl. Opt. 7, 435 (1968).

H. Verleur, J. Opt. Soc. Am. 58, 1356 (1968).

D. Glover and J. Hollenberg, J. Phys. Chem. 73, 880 (1969).

P. Schatz, S. Maeda, and K. Kozima, J. Chem. Phys. 38, 2658 (1963).

S. Maeda, G. Thyagarajan, and P. Schatz, J. Chem. Phys. 39, 3474 (1963).

G. Andermann, A. Caron, and D. Dows, J. Opt. Soc. Am. 55, 1210 (1965).

K. Kozima, W. Suetaka, and P. Schatz, J. Opt. Soc. Am. 56, 181 (1966).

D. Roessler, Brit. J. Appl. Phys. 16, 1119 (1965).

O. S. Heavens, Optical Properties of Thin Solid Films (Butterworths, London, 1955), p. 92.

I. S. Sokolnikoff and E. S. Sokolnikoff, Higher Mathematics for Engineers and Physicists (McGraw-Hill, New York, 1941), pp. 97–101.

G. Andermann and L. Brantley, J. Opt. Soc. Am. 58, 171 (1968).

L. Brantley, G. Andermann, and P. Sakamoto, Spectrosc. Letters 4, 47 (1971).

J. Neufeld and G. Andermann, Appl. Spectrosc. 25, 597 (1971).

G. Andermann and D. Dows, J. Phys. Chem. Solids 28, 1307 (1967).

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