A reader sent in a patent Fujifilm filled for a 300mm f/4 and 500mm f/5.6 with a Diffractive optical element (DOE) for APS-C sensor mirrorless cameras. I have the link to the patent, but it is being withheld to prevent copying and I will add it after the inevitable copy without linking. Copied 30 min later here is the patient.
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Focal length: 292.94 mm
F number: 4.11
Angle of view: 5.6
Focal length: 486.99 mm
F number: 5.76
Angle of view: 5.0
All images from the patent application are below