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Applied Optics

Applied Optics


  • Vol. 35, Iss. 30 — Oct. 20, 1996
  • pp: 5880–5886

Computer modeling of integrating spheres

Blake G. Crowther  »View Author Affiliations

Applied Optics, Vol. 35, Issue 30, pp. 5880-5886 (1996)

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I present a Monte Carlo model for predicting the performance of integrating spheres as a function of incident flux direction. The model was developed specifically to aid in the design of integrating spheres used as cosine collectors but is of general applicability. I discuss a method of generating uncorrelated random numbers. The probability density functions associated with uniform irradiance over a circular entrance port and Lambertian reflectors or emitters are presented. A comparison of the model with analytic equations predicting performance for an unbaffled integrating sphere is included. The average of the data generated by the model agrees with the analytic solution for sphere throughput to better than 0.25% (σ = 8.3%).

© 1996 Optical Society of America

Original Manuscript: October 13, 1995
Revised Manuscript: May 6, 1996
Published: October 20, 1996

Blake G. Crowther, "Computer modeling of integrating spheres," Appl. Opt. 35, 5880-5886 (1996)

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