Building on this response from AlanF, it might be handy if you ready the Metabones white paper on speed boosters. It's quite informative:You are 100% wrong. A speed booster reduces the size of the image circle, as stated by @Bob Howland . If it increased the size, it would spread the light over a larger area and be a speed reducer. A speed booster works by reducing the focal length of a lens.
The Speed Booster – a New Type of Optical Attachement
You might even notice Metabones states:
i.e., in effect the lens is wider relative to the physical actuality from the perspective of the sensor.[...] since the Speed Booster essentially compresses the image formed by the objective lens into a smaller size it helps to undo the cropping effect.
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