Abstract

The arbitrary choice between phase conventions places restrictions upon the interference equation for reflected light, the discontinuous phase shift upon reflection, and the complex refractive index. An attempt has been made to formulate a set of rules within which there is consistency among the existent mathematical framework for treatment of intereference, some experimental observations, and the requirement that the amplitude of a wave decrease with increasing penetration in an absorbing medium.

© 1966 Optical Society of America

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References

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  1. O. S. Heavens, Optical Properties of Thin Solid Films (Academic Press Inc., New York, 1955), Ch. 4.
  2. A. Sommerfeld, Optics, Lectures on Theoretical Physics, Vol. IV (Academic Press Inc., New York, 1954), p. 34 et seq.
  3. J. M. Bennett, J. Opt. Soc. Am. 54, 612 (1964);J. Opt. Soc. Am. 56, 409E (1966).
    [Crossref]
  4. J. M. Bennett, E. J. Ashley, and H. E. Bennett, Appl. Opt. 4, 961 (1965).See also D. K. Burge, Appl. Opt. 4, 967 (1965).
    [Crossref]
  5. W. P. Ellis, J. Chem. Phys. 39, 1172 (1963).
    [Crossref]
  6. A. B. Winterbottom, Trans. Faraday Soc. 42, 487 (1946).
    [Crossref]
  7. W. P. Ellis and E. D. Megarity, J. Opt. Soc. Am. 54, 225 (1964).
    [Crossref]
  8. W. P. Ellis, J. Phys. (Paris) 25, 21 (1964).
    [Crossref]
  9. In Ref. 5, +Q is used for tanθi, the correct corresponding interference equation is given, but η* is stated erroneously as η*=ηreal−iκ0).
  10. O. S. Heavens, Ref. 1, p. 56.
  11. A. Sommerfeld, Ref. 2, pp. 7, 36.

1965 (1)

1964 (3)

1963 (1)

W. P. Ellis, J. Chem. Phys. 39, 1172 (1963).
[Crossref]

1946 (1)

A. B. Winterbottom, Trans. Faraday Soc. 42, 487 (1946).
[Crossref]

Ashley, E. J.

Bennett, H. E.

Bennett, J. M.

Ellis, W. P.

W. P. Ellis, J. Phys. (Paris) 25, 21 (1964).
[Crossref]

W. P. Ellis and E. D. Megarity, J. Opt. Soc. Am. 54, 225 (1964).
[Crossref]

W. P. Ellis, J. Chem. Phys. 39, 1172 (1963).
[Crossref]

Heavens, O. S.

O. S. Heavens, Optical Properties of Thin Solid Films (Academic Press Inc., New York, 1955), Ch. 4.

O. S. Heavens, Ref. 1, p. 56.

Megarity, E. D.

Sommerfeld, A.

A. Sommerfeld, Optics, Lectures on Theoretical Physics, Vol. IV (Academic Press Inc., New York, 1954), p. 34 et seq.

A. Sommerfeld, Ref. 2, pp. 7, 36.

Winterbottom, A. B.

A. B. Winterbottom, Trans. Faraday Soc. 42, 487 (1946).
[Crossref]

Appl. Opt. (1)

J. Chem. Phys. (1)

W. P. Ellis, J. Chem. Phys. 39, 1172 (1963).
[Crossref]

J. Opt. Soc. Am. (2)

J. Phys. (Paris) (1)

W. P. Ellis, J. Phys. (Paris) 25, 21 (1964).
[Crossref]

Trans. Faraday Soc. (1)

A. B. Winterbottom, Trans. Faraday Soc. 42, 487 (1946).
[Crossref]

Other (5)

O. S. Heavens, Optical Properties of Thin Solid Films (Academic Press Inc., New York, 1955), Ch. 4.

A. Sommerfeld, Optics, Lectures on Theoretical Physics, Vol. IV (Academic Press Inc., New York, 1954), p. 34 et seq.

In Ref. 5, +Q is used for tanθi, the correct corresponding interference equation is given, but η* is stated erroneously as η*=ηreal−iκ0).

O. S. Heavens, Ref. 1, p. 56.

A. Sommerfeld, Ref. 2, pp. 7, 36.

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Figures (3)

F. 1
F. 1

Schematic of an ideally flat interference layer.

F. 2
F. 2

Two possible phase shifts upon reflection from absorbing substrates for a positive Fresnel ratio. For transparent material the shift is zero. The reflected component actually propagates from right to left.

F. 3
F. 3

Phase shift upon reflection from an absorbing substrate for a negative Fresnel ratio. For transparent material the shift is zero. The reflected component actually propagates from right to left.

Tables (2)

Tables Icon

Table I Change of reflected interference wavelength with immersion for anodic oxide films on metal.