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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 31, Iss. 1 — Jan. 1, 1941
  • pp: 26–32

Criteria and the Intensity-Epoch Slope

B. P. RAMSAY, E. L. CLEVELAND, and O. T. KOPPIUS  »View Author Affiliations


JOSA, Vol. 31, Issue 1, pp. 26-32 (1941)
http://dx.doi.org/10.1364/JOSA.31.000026


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Citation
B. P. RAMSAY, E. L. CLEVELAND, and O. T. KOPPIUS, "Criteria and the Intensity-Epoch Slope," J. Opt. Soc. Am. 31, 26-32 (1941)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-31-1-26


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References

  1. B. P. Ramsay, O. T. Koppius and E. L. Cleveland, "The prism and the theory of optical resolution," J. Opt. Soc. Am. 30, 439 (1940).
  2. E. L. Cleveland, B. P. Ramsay and O. T. Koppius, "Optical resolving power and the photon theory," J. Opt. Soc. Am., forthcoming issue.
  3. In this paper, primes are used to indicate maximum values, double primes to indicate minimum values, and an asterisk to denote the value of a quantity at the criterion point which is sometimes called the point of overlap.
  4. For a catalog of intensity functions appropriate to various interferential devices, see L. Sturkey and B. P. Ramsay, "A general interferential method." This paper will shortly appear in Phil. Mag.
  5. W. E. Williams, Applications of Interferometry (E. P. Dutton and Company, 1930), p. 79.
  6. A. Schuster, Theory of Optics (E. Arnold and Company, 1924), p. 158.
  7. C. M. Sparrow, Astrophys. J. 44, 76–86 (1916).
  8. F. L. O. Wadsworth, Phil. Mag. 5, 355–374 (1903).
  9. T. Preston, Theory of Light, fifth edition (Macmillan and Company, 1928), p. 266.
  10. R. W. Ditchburn, Proc. Roy. Irish Acad. 39, 58–72 (1930).
  11. W. V. Houston, Phys. Rev. 29, 480 (1927).
  12. A. Buxton, Phil. Mag. 23, 440–442 (1937).
  13. R. W. Ditchburn and E. J. Power-Steele, Proc. Roy. Irish Acad. 41, 137–149 (1933).
  14. C. Fabry, Les Applications des Interferences Lumineuses (Rev. d'optique, 1923), pp. 28–29.
  15. In the mathematical development, R appears as the geometric ratio of the amplitudes of the compatible beams whose superposition produces the intensity function (26). Its physical significance appears on applying the Stokes amplitude coefficient of reflection (sometimes called the reflecting power) to the incident beam at each reflection. Then, since internal reflections in the interferometer occur in pairs, the amplitude of each emerging beam is the product of the amplitude of the incident beam by some integral power of the square of the Stokes coefficient; and this square is the intensity coefficient, R.
  16. C. Fabry, Opliqe (Les Presses Universitaires de France, 1934), 70.
  17. A. A. Michelson, Phil. Mag. (5) 31, 338 (1891); 34, 280 (1892).
  18. R. C. Williams and R. C. Gibbs, Phys. Rev. 45, 475 (1934); 45, 491 (1934).

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