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The integrating sphere (IS) is an indispensable tool for measuringtransmission and scattering of materials and their colorimetry, as well asother photometric tasks. The accuracy of its data depends critically on portsizes used for measurement and control, usually defined by trial and error orbrute-force optical simulations. To find the optimal port sizes of thispowerful tool, a sample visibility function is defined and optimized using theenergy conservation principle. This yields an analytical expression that shouldbe useful in a variety of applications, especially those where signal is rathersmall (low-haze materials).

Simple Analytical Model for Optimizing Integrating Sphere Port Sizes