Originally posted by biz-engineer Thanks for sharing this practical aspect, I had no idea about that (learning here), I appreciate.
I've noticed that the hyper-focal distance increased roughly by the square of the focal length. In practice, we see that compact cameras can easily produce all in focus images while they struggle with making bokek. It becomes easier to produce decent amounts of out of focus with apsc or 24x36 cameras, while the lens aperture should be closed to get all in focus images. Now I assume that formats larger than 24x36 require even higher f numbers with increasing effects of diffraction. That leads me to think that if I want all in focus images without drop of resolution (diffraction), the larger the "sensor" the wider angle the lens should be [that was my point]. The other possibility to improve sharpness with larger format without stopping down the lens is to tilt the lens to reduce the gap between the plane of focus at the scene and the sensor plane (Scheimpflug principle, camera movements: what I learned).
What you say is true but neglects the relationship between camera format and acceptable levels of blur from diffraction and DoF.
The physical diameter of the diffraction blur is proportional to the f-number. But obviously a blur of a given size will have a much larger impact on the print resolution of a small-sensor image than on a large-sensor one. Thus, larger format cameras can stop down to narrower apertures than can small format cameras. Thus, if f/11 on a 24x36 camera represents the narrowest aperture before diffraction impacts the print's resolution, then a 4x5 camera could be operated at perhaps f/32 to f/45 before diffraction impacts print resolution.
The hyperfocal distance does depend on f^2 (and f is proportionally larger for large format cameras) but hyperfocal distance also has an inverse dependence on the aperture and the circle of confusion. Again, a large format image can have a proportionally larger circle of confusion before it become noticeable in a print of a given size. And the larger format lens can be operated at a proportionally narrower aperture (proportionally larger numerical aperture) than could a smaller format lens.
The upshot is that a wide angle lens operated at the limit of diffraction will have the same hyperfocal distance across all formats. A 24 mm lens @ f/11 on a 24x36mm camera has the same hyperfocal distance and diffraction behavior as a 4" = 100mm lens @ f/45 on a 4x5 camera.