Abstract

Exact expressions are obtained in closed form for the phase and amplitude of the reflected light when a light beam is incident upon a multilayer of a number of homogeneous media. The assumption is made that Maxwell’s equations and Ohm’s law hold. These equations are applied to the special case of dielectric coated metals and the results are compared to ellipsometry measurements made in chromium slides covered with barium stearate films of known thickness. When the conductivity and the dielectric constant of the metal are allowed to assume complex values, and when precautions are taken to reduce the inaccuracy introduced by the residual oxide and gas layer on the metal, the agreement is good.

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  1. P. Drude, Ann, Physik 36, 865 (1889).
  2. L. Tronstad, Trans. Faraday Soc. 29, 502 (1933).
  3. A. Rothen and M. Hanson, Rev. Sci. Instr. 20, 66 (1949).
  4. J. B. Bateman and N. W. Harris, Ann. N. Y. Acad. Sci. 53, 1064 (1951).
  5. W. Wenistein, Vacuum 41, 3 (1954).
  6. J. A. Berning and P. H. Berning, J. Opt. Soc. Am. 50, 813 (1960).
  7. J. A. Stratton, Electromagnetic Theory (McGraw-Hill Book Company, Inc., New York, 1941), pp. 490–516.
  8. J. R. Partington, An Advanced Treatise on Physical Chemistry (Longmans Green and Company, New York, 1953), Vol. IV, p. 156.
  9. J. A. Faucher, G. M. McManus, and H. J. Trurnit, J. Opt. Soc. Am. 48, 51 (1958).
  10. P. Drude, Ann. Physik 35, 508 (1888).
  11. H. J. Trurnit (to be published).
  12. A. Rothen, Rev. Sci. Instr. 16, 26 (1945).
  13. K. B. Blodgett, J. Am. Chem. Soc. 57, 1007 (1935).

Bateman, J. B.

J. B. Bateman and N. W. Harris, Ann. N. Y. Acad. Sci. 53, 1064 (1951).

Berning, J. A.

J. A. Berning and P. H. Berning, J. Opt. Soc. Am. 50, 813 (1960).

Berning, P. H.

J. A. Berning and P. H. Berning, J. Opt. Soc. Am. 50, 813 (1960).

Blodgett, K. B.

K. B. Blodgett, J. Am. Chem. Soc. 57, 1007 (1935).

Drude, P.

P. Drude, Ann. Physik 35, 508 (1888).

P. Drude, Ann, Physik 36, 865 (1889).

Faucher, J. A.

J. A. Faucher, G. M. McManus, and H. J. Trurnit, J. Opt. Soc. Am. 48, 51 (1958).

Hanson, M.

A. Rothen and M. Hanson, Rev. Sci. Instr. 20, 66 (1949).

Harris, N. W.

J. B. Bateman and N. W. Harris, Ann. N. Y. Acad. Sci. 53, 1064 (1951).

McManus, G. M.

J. A. Faucher, G. M. McManus, and H. J. Trurnit, J. Opt. Soc. Am. 48, 51 (1958).

Partington, J. R.

J. R. Partington, An Advanced Treatise on Physical Chemistry (Longmans Green and Company, New York, 1953), Vol. IV, p. 156.

Rothen, A.

A. Rothen, Rev. Sci. Instr. 16, 26 (1945).

A. Rothen and M. Hanson, Rev. Sci. Instr. 20, 66 (1949).

Stratton, J. A.

J. A. Stratton, Electromagnetic Theory (McGraw-Hill Book Company, Inc., New York, 1941), pp. 490–516.

Tronstad, L.

L. Tronstad, Trans. Faraday Soc. 29, 502 (1933).

Trurnit, H. J.

J. A. Faucher, G. M. McManus, and H. J. Trurnit, J. Opt. Soc. Am. 48, 51 (1958).

H. J. Trurnit (to be published).

Wenistein, W.

W. Wenistein, Vacuum 41, 3 (1954).

Other

P. Drude, Ann, Physik 36, 865 (1889).

L. Tronstad, Trans. Faraday Soc. 29, 502 (1933).

A. Rothen and M. Hanson, Rev. Sci. Instr. 20, 66 (1949).

J. B. Bateman and N. W. Harris, Ann. N. Y. Acad. Sci. 53, 1064 (1951).

W. Wenistein, Vacuum 41, 3 (1954).

J. A. Berning and P. H. Berning, J. Opt. Soc. Am. 50, 813 (1960).

J. A. Stratton, Electromagnetic Theory (McGraw-Hill Book Company, Inc., New York, 1941), pp. 490–516.

J. R. Partington, An Advanced Treatise on Physical Chemistry (Longmans Green and Company, New York, 1953), Vol. IV, p. 156.

J. A. Faucher, G. M. McManus, and H. J. Trurnit, J. Opt. Soc. Am. 48, 51 (1958).

P. Drude, Ann. Physik 35, 508 (1888).

H. J. Trurnit (to be published).

A. Rothen, Rev. Sci. Instr. 16, 26 (1945).

K. B. Blodgett, J. Am. Chem. Soc. 57, 1007 (1935).

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