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Design of an integrating cavity absorption meter.

D M Hobbs¹, N J McCormick

¹Department of Mechanical Engineering, University of Washington, Box 352600, Seattle, Washington 98195-2600, USA.

|February 29, 2008

Summary

This study analyzes integrating cavity absorption meters with general geometries, extending previous photon survival probability analysis. The cavity shape

Area of Science:

Optical physics
Metrology
Instrument design

Background:

Integrating cavity absorption meters are crucial for measuring light absorption.
Previous analyses focused on spherical geometries, limiting broader applications.
Uniform and isotropic illumination is a common assumption for these meters.

Purpose of the Study:

To analyze integrating cavity absorption meters of general geometry.
To extend the analysis of photon survival probability to non-spherical cavities.
To estimate the impact of cavity shape on absorption coefficient measurements.

Main Methods:

Extending Kirk's analysis of photon survival probability.
Analyzing cavity absorption meters under uniform and isotropic incident illumination.

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Developing an estimation method for shape-dependent absorption coefficient effects.

Main Results:

The analysis of photon survival probability in spherical meters is successfully extended to general geometries.
A method is provided to estimate the influence of cavity shape on the absorption coefficient.
The findings are applicable to meters with uniform and isotropic incident illumination.

Conclusions:

The shape of an integrating cavity absorption meter significantly affects the estimated absorption coefficient.
The generalized analysis provides a more versatile framework for designing and interpreting results from these meters.
This work enhances the accuracy and applicability of cavity absorption measurements across various geometries.