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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 56, Iss. 6 — Jun. 1, 1966
  • pp: 746–748

Phase Conventions and the Interference Equation

W. P. ELLIS  »View Author Affiliations

JOSA, Vol. 56, Issue 6, pp. 746-748 (1966)

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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.

W. P. ELLIS, "Phase Conventions and the Interference Equation," J. Opt. Soc. Am. 56, 746-748 (1966)

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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); 56, 409E (1966).
  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).
  5. W. P. Ellis, J. Chem. Phys. 39, 1172 (1963).
  6. A. B. Winterbottom, Trans. Faraday Soc. 42, 487 (1946).
  7. W. P. Ellis and E. D. Megarity, J. Opt. Soc. Am. 54, 225 (1964).
  8. W. P. Ellis, J. Phys. (Paris) 25, 21 (1964).
  9. In Ref. 5, +Q is used for tanθi, the correct corresponding interference equation is given, but η* is stated erroneously as η* =ηrealik0).
  10. O. S. Heavens, Ref. 1, p. 56.
  11. A. Sommerfeld, Ref. 2, pp. 7, 36.

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