So I dug up my program and here is a sample of the output for a comparison between an ideal 85mm f/1.2 lens versus an ideal 300mm f/2.8 lens. Note I say "ideal" here because in practice, the actual EF 85/1.2L and EF 300/2.8L IS II are not exactly 85mm or 300mm, nor are they exactly f/1.2 or f/2.8. But to a large extent, the model is a fairly good representation of what happens in practice.
What the plot shows is that for a subject magnification of 0.06 (meaning that an object in the plane of focus that is 100mm long will project an image onto the sensor that is 6mm long, which is roughly in the ballpark for portraiture), the red curve expresses the diameter of the blur circle for a 300/2.8 lens as a function of the distance between the subject and the background. In other words, when the subject is in focus and the camera-subject distance is adjusted so that the subject has an apparent magnification of 0.06, a point light source 1 meter behind the subject will be rendered as a blur disk with diameter about 1 mm on the sensor. For a point light source 100 meters behind the subject, the blur disk on the sensor will have a diameter of about 6.15 mm.
The blue curve corresponds to the 85/1.2 lens. To maintain the magnification of 0.06, you'd stand quite a bit closer to the subject than for a 300/2.8. But for an object 1 meter behind the subject, the 85/1.2 would have a blur circle diameter of about 1.6 mm, which is more blur than you would get with the 300/2.8 at this background distance. And then this situation is reversed for objects more than 6 meters behind the subject in focus!
So you can see that the extent of blur depends not just on the lens, but the spatial relationship between the subject and the background. And this plot shows exactly what I have been trying to explain: the 85/1.2 goes blurrier for nearby background objects, but not for faraway objects compared to the 300/2.8.
What the plot shows is that for a subject magnification of 0.06 (meaning that an object in the plane of focus that is 100mm long will project an image onto the sensor that is 6mm long, which is roughly in the ballpark for portraiture), the red curve expresses the diameter of the blur circle for a 300/2.8 lens as a function of the distance between the subject and the background. In other words, when the subject is in focus and the camera-subject distance is adjusted so that the subject has an apparent magnification of 0.06, a point light source 1 meter behind the subject will be rendered as a blur disk with diameter about 1 mm on the sensor. For a point light source 100 meters behind the subject, the blur disk on the sensor will have a diameter of about 6.15 mm.
The blue curve corresponds to the 85/1.2 lens. To maintain the magnification of 0.06, you'd stand quite a bit closer to the subject than for a 300/2.8. But for an object 1 meter behind the subject, the 85/1.2 would have a blur circle diameter of about 1.6 mm, which is more blur than you would get with the 300/2.8 at this background distance. And then this situation is reversed for objects more than 6 meters behind the subject in focus!
So you can see that the extent of blur depends not just on the lens, but the spatial relationship between the subject and the background. And this plot shows exactly what I have been trying to explain: the 85/1.2 goes blurrier for nearby background objects, but not for faraway objects compared to the 300/2.8.
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