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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 33, Iss. 2 — Feb. 1, 1943
  • pp: 89–102

Analytical Representation of Standard Response Curves

PARRY MOON and DOMINA EBERLE SPENCER  »View Author Affiliations


JOSA, Vol. 33, Issue 2, pp. 89-102 (1943)
http://dx.doi.org/10.1364/JOSA.33.000089


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Citation
PARRY MOON and DOMINA EBERLE SPENCER, "Analytical Representation of Standard Response Curves," J. Opt. Soc. Am. 33, 89-102 (1943)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-33-2-89


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References

  1. "Illuminating engineering nomenclature and photometric standards," Illum. Eng. 36, 820 (1941).
  2. Parry Moon, "A system of photometric concepts," J. Opt. Soc. Am. 32, 348 (1942).
  3. Usually called "visibility" or "luminosity." See Parry Moon, "Basic principles in illumination calculations," J. Opt. Soc. Am. 29, 108 (1939). It has been customary to use two distinct symbols to represent the same set of values, υ(λ) being employed in photometry and (λ) in colorimetry. The two symbols represent identical relative values, on the basis of a maximum ordinate of approximately unity. There seems to be no merit in having two symbols for the same function, so in this paper (λ) will indicate relative values while υ(λ) will be in lumens per watt.
  4. D. A. Goldhammer, "Die Farbenempfindlichkeit des Auges und die photometrische Helligkeit der leuchtenden Körper," Ann. d. Physik 16, 621 (1905).
  5. P. G. Nutting, "The luminous equivalent of radiation," Bull. Bur. Stand. 5, 261 (1908–9).
  6. 6 E. F. Kingsbury, "A spectral luminosity curve equation and its use," Phys. Rev. 7, 161 (1916).
  7. K. S. Gibson and E. P. T. Tyndall, "Visibility of radiant energy," Sci. Pap. Bur. Stand. 19, 131 (1924); Trans. I. E. S. 19, 176 (1924).
  8. Commission Internationale de l'Eclairage, Geneva, Switzerland, 1924. See report by E. C. Crittenden, Trans. I. E. S. 19, 607 (1924).
  9. E. P. T. Tyndall and K. S. Gibson, "Visibility of radiant energy equation", J. Opt. Soc. Am. 9, 403 (1924).
  10. J. W. T. Walsh, "Visibility of radiant energy equation," J. Opt. Soc. Am. 11, 111 (1925).
  11. R. A. Houstoun, "The visibility of radiation and dark adaptation," Phil. Mag. 10, 416 (1930). "Color vision," Phil. Mag. 11, 565 (1931). Vision and Color Vision (Longmans, Green and Company, London, 1932), p. 81.
  12. C. V. L. Charlier, Die Grundzüge der mathematischzen Statistik (Hamburg, 1920). A. Fisher, Mathematical Theory of Probabilities (Macmillan, New York, 1930). N. R. Jørgensen, Undersøgelser over Frequensfiader og Korrelation (København, 1916).
  13. K. Pearson, "Supplement to a memoir on skew variation," Roy. Soc., Phil. Trans. 197A, 446 (1901). W. P. Elderton, Frequency Curves and Correlation (Cambridge University Press, 1938).
  14. Tables of the Exponential Function ex (Nat. Bur. Stand., Washington, 1939).
  15. Tables of Probability Functions (Nat. Bur. Stand., Washington, 1941), Vol. I.
  16. J. Peters, Zehnstellige Logarithmen (Berlin, 1922), Vol. I, Table 6.
  17. T. C. Fry, Probability and Its Engineering Uses (Van Nostrand Company, New York, 1928), p. 429.
  18. Tables of Sine, Cosine, and Exponential Integrals (Nat. Bur. Stand., Washington, 1940), Vol. I.
  19. D. B. Judd, "Extension of the standard visibility function to intervals of 1 millimicron by third-difference osculatory interpolation," J. Opt. Soc. Am. 21, 267 (1931). Z. Yamauti, "Interpolation of the standard visibility function with one millimicron steps," Res. Elec. Lab. Tokyo, No. 388 (1935).
  20. Bowditch and Null, "Selected ordinates for computing trichromatic coefficients and candlepower of a light source," J. Opt. Soc. Am. 28, 500 (1938).
  21. Parry Moon, "A table of Planck’s function from 3500 to 8000°K," J. Math. Phys. 16, 133 (1937); M. I. T., E. E. Contr. No. 131 (1938).
  22. These suggestions have no official sanction and are merely the personal opinions of the authors. It may seem visionary in 1943 to mention international agreement; but a little thought will indicate that the present is an excellent time to initiate a program, for it will allow time to assess the merits of the proposal in the U. S. and to determine if it should be submitted to the C. I. E.
  23. A. Dresler, "Über eine jahreszeitliche Schwankung der Spektralen Hellempfindlichkeit," Das Licht, 10 (1940).
  24. K. S. Gibson, "Spectral luminosity factors," J. Opt. Soc. Am. 30, 51 (1940). W. Arndt, "Über neue Beobachtungen beim subjektiven Photometrieren," Das Licht 6, 75 (1936). M. Jaggi, "Beitrag zur Kenntnis der spektralen Hellempfindlichkeit des menschlichen Auges," Helv. Phys. Acta 12, 77 (1939).
  25. P. Jainski, "Die spektrale Hellempfindlichkeit des menschlichen Auges und ihre Bedeutung für die Lichtmesstechnik," Diss. Tech. Hochschule, Berlin (1938).
  26. J. S. Preston, "The relative luminosity of radiation for the average observer," Proc. Phys. Soc. London 51, 757 (1939).
  27. J. Guild, "The colorimetric properties of the spectrum," Phil. Trans. Roy. Soc. London 230A, 149 (1932).
  28. The Illuminating Engineering Society (ref. 1) recommends the Judd interpolated values but still leaves the question of extrapolation undecided. The C. I. E. has not changed its original specification of υ(λ) at intervals of 0.01µ.

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