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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 45, Iss. 36 — Dec. 20, 2006
  • pp: 9053–9065

Integrating cavities:temporal response

Edward S. Fry, Joe Musser, George W. Kattawar, and Peng-Wang Zhai  »View Author Affiliations

Applied Optics, Vol. 45, Issue 36, pp. 9053-9065 (2006)

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The temporal response of an integrating cavity is examined and compared with the results of a Monte Carlo analysis. An important parameter in the temporal response is the average distance d ¯ between successive reflections at the cavity wall; d ¯ was calculated for several specific cavity designs—spherical shell, cube, right circular cylinder, irregular tetrahedron, and prism; however, only the calculation for the spherical shell and the right circular cylinder will be presented. A completely general formulation of d ¯ for arbitrary cavity shapes is then derived, d ¯ = 4 V / S where V is the volume of the cavity, and S is the surface area of the cavity. Finally, we consider an arbitrary cavity shape for which each flat face is tangent to a single inscribed sphere of diameter D (a curved surface is considered to be an infinite number of flat surfaces). We will prove that for such a cavity d ¯ = 2 D / 3 , exactly the same as d ¯ for the inscribed sphere.

© 2006 Optical Society of America

OCIS Codes
(080.2740) Geometric optics : Geometric optical design
(120.3150) Instrumentation, measurement, and metrology : Integrating spheres

Original Manuscript: June 2, 2006
Revised Manuscript: August 22, 2006
Manuscript Accepted: August 28, 2006

Edward S. Fry, Joe Musser, George W. Kattawar, and Peng-Wang Zhai, "Integrating cavities: temporal response," Appl. Opt. 45, 9053-9065 (2006)

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  1. J. Beaulieu, A Guide to Integrating Sphere Theory and Applications (Labsphere, Inc., 1999), http://www.labsphere.com/knowledgebase.aspx.
  2. S. Bogacz, Integrating Sphere Design and Applications (SphereOptics LLC, 2004), http://www.sphereoptics.com/assets/sphere-optic-pdf/sphere-technical-guide.pdf.
  3. P. Elterman, "Integrating cavity spectroscopy," Appl. Opt. 9, 2140-2142 (1970). [CrossRef] [PubMed]
  4. E. S. Fry, G. W. Kattawar, and R. M. Pope, "Integrating cavity absorption meter," Appl. Opt. 31, 2055-2065 (1992). [CrossRef] [PubMed]
  5. A. M. Emel'yanov, V. I. Kosyakov, and B. V. Makushkin, "The use of an integrating cavity for measuring small optical absorptions," Sov. J. Opt. Technol. 45, 31-33 (1978).
  6. D. M. Hobbs and N. J. McCormick, "Design of an integrating cavity absorption meter," Appl. Opt. 38, 456-461 (1999). [CrossRef]
  7. J. T. O. Kirk, "Modeling the performance of an integrating-cavity absorption meter: theory and calculations for a spherical cavity," Appl. Opt. 34, 4397-4408 (1995). [CrossRef] [PubMed]
  8. J. T. O. Kirk, "Point-source integrating-cavity absorption meter: theoretical principles and numerical modeling," Appl. Opt. 36, 6123-6128 (1997). [CrossRef] [PubMed]
  9. R. A. Leathers, T. V. Downes, and C. O. Davis, "Analysis of a point-source integrating-cavity absorption meter," Appl. Opt. 39, 6118-6127 (2000). [CrossRef]
  10. C. J.-Y. Lerebourg, D. A. Pilgrim, G. D. Ludbrook, and R. Neal, "Development of a point source integrating cavity absorption meter," J. Opt. A 4, S56-S65 (2002). [CrossRef]
  11. J. W. Pickering, C. J. M. Moes, H. J. C. M. Sterenborg, S. A. Prahl, and M. J. C. van Gemert, "Two integrating spheres with an intervening scattering sample," J. Opt. Soc. Am. A 9, 621-631 (1992). [CrossRef]
  12. R. M. Pope and E. S. Fry, "Absorption spectrum (380-700 nm) of pure water: II. Integrating cavity measurements," Appl. Opt. 36, 8710-8723 (1997). [CrossRef]
  13. E. S. Fry and J. Musser, are preparing a paper to be called "A new ultrahigh diffuse reflecting material."
  14. A. Arecchi, SphereOptics LLC, Contoocook, N. H., 03229 (personal communication, slide presentation, 2005).
  15. K. M. Case and P. F. Zweifel, Linear Transport Theory (Addison-Wesley, 1967), p. 56.

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