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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 64, Iss. 11 — Nov. 1, 1974
  • pp: 1445–1449

Integration of Planck’s equation by the Laguerre-Gauss quadrature method

R. Barry Johnson and Elmer E. Branstetter  »View Author Affiliations


JOSA, Vol. 64, Issue 11, pp. 1445-1449 (1974)
http://dx.doi.org/10.1364/JOSA.64.001445


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Abstract

A method based upon the Laguerre-Gauss quadrature for the integration of Planck’s equation over any specified spectral band is presented. The accuracy of the quadrature, binomial-expansion, and Chebyshev-polynomial methods are determined and compared.

Citation
R. Barry Johnson and Elmer E. Branstetter, "Integration of Planck’s equation by the Laguerre-Gauss quadrature method," J. Opt. Soc. Am. 64, 1445-1449 (1974)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-64-11-1445


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References

  1. Handbook of Military Infrared Technology, edited by W. L. Wolfe, (U. S. Government Printing Office, Washington, D. C., 1965), Ch. 2.
  2. C. S. Williams and O. A. Becklund, Optics: A Short Course for Engineers and Scientists (Wiley-Interscience, New York, 1972), p. 52.
  3. M. Hatch, Appl. Opt. 12, 617 (1973).
  4. F. B. Hildebrand, Introduction to Numerical Analysis (Mc-Graw-Hill, New York, 1956).
  5. H. E. Salzer and R. Zucker, Bull. Am. Math Soc. 55, 1004 (1949)

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