An integrating sphere is a cavity with high-reflectivity walls, used primarily in precision photometric and reflectance measurements. In addition, it is used to make accurate optical power measurements and to smooth spatial variations in optical beams, by performing the integration of power over the cross-section of the beam. This paper considers the integrating sphere as the containment cavity, in which absorption spectroscopy of uniformly distributed samples is performed. A theoretical presentation of the optical properties of the integrating sphere is made, which leads to an expression for optical transmittance of the sample. This expression is different from the traditional exponential expression of transmittance of Beer-Lambert. The features of this new expression are explored for exploitation in sensitive absorption measurements.
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