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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 48, Iss. 30 — Oct. 20, 2009
  • pp: 5748–5758

Using integrating spheres as absorption cells: path-length distribution and application of Beer’s law

Jane Hodgkinson, Dackson Masiyano, and Ralph P. Tatam  »View Author Affiliations


Applied Optics, Vol. 48, Issue 30, pp. 5748-5758 (2009)
http://dx.doi.org/10.1364/AO.48.005748


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Abstract

We have modeled the path-length distribution in an integrating sphere used as a multipass optical cell for absorption measurements. The measured radiant flux as a function of analyte concentration is nonlinear as a result, deviating from that expected for a single path length. We have developed a full numerical model and introduce a new analytical relationship that describes this behavior for high reflectivity spheres. We have tested both models by measuring the optical absorption of methane at 1651 nm in a 50 mm diameter sphere, with good agreement with experimental data in the absorption range of 0 0.01 cm 1 . Our results compare well with previous work on the temporal response of integrating spheres.

© 2009 Optical Society of America

OCIS Codes
(120.3150) Instrumentation, measurement, and metrology : Integrating spheres
(120.6200) Instrumentation, measurement, and metrology : Spectrometers and spectroscopic instrumentation
(300.1030) Spectroscopy : Absorption
(280.4788) Remote sensing and sensors : Optical sensing and sensors

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: April 30, 2009
Revised Manuscript: August 4, 2009
Manuscript Accepted: September 24, 2009
Published: October 14, 2009

Citation
Jane Hodgkinson, Dackson Masiyano, and Ralph P. Tatam, "Using integrating spheres as absorption cells: path-length distribution and application of Beer's law," Appl. Opt. 48, 5748-5758 (2009)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-48-30-5748


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