An integrating sphere is often used to approximate a flat illumination field at some distant surface, but in the design of a tunnel which bridges the integrating sphere and the surface it illuminates, many opportunities exist to contaminate the geometric purity that would exist in the tunnel's absence. It is shown that when constraining the tunnel/baffle geometry to a cylindrical tube with flat baffles and circular apertures, a potentially optimized first-order design exists and provides a suitable basis for more nuanced elaborations, such as the addition of secondary baffles or non-flat surfaces. A parametric design formula is derived and provided for real-world use, non-sequential stray light analyses with comparisons to alternate baffle designs is provided, and two reference designs as used in the CCD test facilities for the Large Synoptic Survey Telescope are shown.
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