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Reflection of a plane mirror at a focal point

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I am trying to interface a detector system to a FT-IR spectrometer. The spectrometer uses off-axis parabolic mirrors to focus light in the center of a sample compartment, where it diverges and again strikes an off axis parabolic mirror, focusing it on a detector. I would like to place a plane mirror at a 45° angle, at the focal point of the first mirror. My question is, what kind of beam divergence can I expect with this setup? The detector element itself will be housed in a dewar behind some windows and filters, approximately 6-8" from the mirror in the sample compartment. There is a compound parabolic concentrator, located about 3inches in front of the detector, with a .500" entrance aperture. Can I expect reasonable signal from this setup? This will be used in the IR, from about 20-700cm-1. Will atmospheric interference be significant? I have attached a quick sketch of the outline of the system.

Thanks!


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