TIDUEE5A October 2018 – May 2022
The f/# of an optical system refers to the size of the aperture. For a DLP projector, there are apertures in the illumination and projection path, and typically the f/# of each one should match. The DLP3030-Q1 DMD has a tilt angle of ±12°, which corresponds to f/2.4, as dictated by the following angle-f/# relationship:
However, an optical designer may prefer to open or close the aperture, by decreasing or increasing the f/# respectively. By opening the aperture, this allows more light to pass through and increases the brightness. However, this also allows light from the illumination- and flat-state pupils to leak into the off-state pupil, which raises the black level and degrades the contrast. Closing the aperture reducing the etendue match and allows less light through, but also increases the contrast by separating the pupils.
Figure 2-8 shows this tradeoff of contrast and brightness with a varying f/#. To support a HUD design with 1500:1 contrast, and aperture of f/2.6 should be used.