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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)

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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.

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)

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  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.
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  4. F. B. Hildebrand, Introduction to Numerical Analysis (Mc-Graw-Hill, New York, 1956).
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