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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN 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)
http://dx.doi.org/10.1364/AO.45.009053


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Abstract

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

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

Citation
Edward S. Fry, Joe Musser, George W. Kattawar, and Peng-Wang Zhai, "Integrating cavities: temporal response," Appl. Opt. 45, 9053-9065 (2006)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-45-36-9053

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