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Applied Optics

Applied Optics


  • Vol. 38, Iss. 3 — Jan. 20, 1999
  • pp: 456–461

Design of an integrating cavity absorption meter

Dane M. Hobbs and Norman J. McCormick  »View Author Affiliations

Applied Optics, Vol. 38, Issue 3, pp. 456-461 (1999)

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The design of integrating cavity absorption meters of general geometry is analyzed for cases in which the incident illumination of the cavity is spatially uniform and isotropic, such as the meter of Fry et al. [Appl. Opt. 31, 2055 (1992)]. The analysis by Kirk [Appl. Opt. 34, 4397 (1995)] for the probability of photon survival in a spherical meter is extended to general geometries. An estimate of the effect of the shape of the cavity on the estimated absorption coefficient is given.

© 1999 Optical Society of America

OCIS Codes
(000.2170) General : Equipment and techniques
(010.0010) Atmospheric and oceanic optics : Atmospheric and oceanic optics
(010.4450) Atmospheric and oceanic optics : Oceanic optics
(030.5620) Coherence and statistical optics : Radiative transfer
(120.3150) Instrumentation, measurement, and metrology : Integrating spheres
(300.1030) Spectroscopy : Absorption

Original Manuscript: May 8, 1998
Revised Manuscript: October 22, 1998
Published: January 20, 1999

Dane M. Hobbs and Norman J. McCormick, "Design of an integrating cavity absorption meter," Appl. Opt. 38, 456-461 (1999)

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  1. E. S. Fry, G. W. Kattawar, R. M. Pope, “Integrating cavity absorption meter,” Appl. Opt. 31, 2055–2065 (1992). [CrossRef] [PubMed]
  2. R. M. Pope, E. S. Fry, “Absorption spectrum (380–700 nm) of pure water. II. Integrating cavity measurements,” Appl. Opt. 36, 8710–8723 (1997). [CrossRef]
  3. 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]
  4. J. T. O. Kirk, “Point-source integrating-cavity absorption meter: theoretical principles and numerical modeling,” Appl. Opt. 36, 6123–6128 (1997). [CrossRef] [PubMed]
  5. K. M. Case, F. de Hoffmann, G. Placzek, Introduction to the Theory of Neutron Diffusion, (Los Alamos National Laboratory, Los Alamos, N.M., 1953), Vol. 1, pp. 17–42.
  6. K. M. Case, P. F. Zweifel, Linear Transport Theory (Addison-Wesley, Reading, Mass., 1967), p. 27.
  7. G. K. Kristiansen, B. Tollander, L. I. Tiren, “Tables related to the mean square chord length in right parallelepipeds,” Nukleonik 10, 45–47 (1967).
  8. I. Carlvik, “Collision probabilities for finite cylinders and cuboids,” Nucl. Sci. Eng. 30, 150–151 (1967) and (Stockholm, Sweden, 1967).
  9. S. Wolfram, The Mathematica Book, 3rd ed. (Wolfram Media and Cambridge U. Press, Cambridge, UK, 1996).
  10. J. T. O. Kirk, Light & Photosynthesis in Aquatic Ecosystems, 2nd ed. (Cambridge U. Press, Cambridge, UK, 1994), Table 3.2.
  11. J. T. O. Kirk, Marine Optics, P.O. Box 117, Murrumbateman, NSW 2582, Australia (personal communication, 1998).
  12. J. T. O. Kirk, “Monte Carlo modeling of the performance of a reflective tube absorption meter,” Appl. Opt. 31, 6463–6468 (1992). [CrossRef] [PubMed]

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