If you read the article carefully the author uses a disingenuous term. What I wrote is actually technically correct.I wrote The Wider the aperture in millimeters. He tries to equalize what would be f/1.4 on the 50 millimeter lens is about roughly let's say f4 on a 300 2.8. What I wrote is actually technically correct. I wrote The Wider the aperture in millimeters. He tries to equalize this by saying a picture with for example a 50 mm lens and aperture that is 25 mm across on a 300 millimeter lens would not be F2, as it would be on a 50 mm lens. Ergo what I wrote is actually technically correct. The author of the above article disingenuously calls this the same absolute aperture .. what I I was referring to was actual width of the aperture measured in millimeters.Take a look at what f/4 on the 200mm f/2 VR lens looks like and then shoot the same aperture value (f/4) on a 50 mm length lens. Yes indeed there is always a"but: and in this case the" butt" is the author of the above article that you linked to who uses a very disingenuous method of referring to apertures: F 2.8 on a 300 mm telephoto is a big hole. It's the same in Reverse with diffraction: on a 180mm relatively "normal lens " using 4 by 5 inch sheet film a small aperture such as f/64 is actually a pretty good-sized hole and diffraction at f/64 is not a real problem when using a 180 mm lenes on 4x5 by inch film, and in fact the light that goes through a physically-wider aperture does not cause a loss of sharpness due to diffraction, which is one reason underline the name of the Group of f64. On a small-format camera such as a 35 mm film camera, a 50 millimeter lens has long been considered normal. If we were to use a small aperture such as F/16 on our 35 mm film camera we get quite a bit of loss of sharpness due to to diffraction. using a much larger lens with a larger piece of film, apertures are correspondingly larger and small aperture values such as f/16 on a view camera with 4×5 inch sheet film and a 180mm normal lens causes virtually no loss of sharpness due to to diffraction. On a smaller camera with a much smaller piece of film or sensor, small aperture values like f/16 cause a serioud loss of sharpness as the light rays are forced through what is,physically, a narrow opening.
The author you linked us to is quite clever in talking about aperture values in terms of absolute width and his mathematical graphing is correct as far as it goes, but in the real world we actually look at relative apertures, relative to the focal length of the lens that is in use and relative to the actual in- camera exposure settings. As working photographers we refer to apertures by their F value, and not by their actual width as measured with a ruler For example if I take a 300mm f / 2.8 lens and shoot it at f/2.8 that is a much wider physical aperture than F2.8 is on a 50 or a 24 mm lens, Ergo at f/4 a 300 mm gives me more background blur than does a 50mm shot at at 4. The guy is basically full of b******* and is demonstrating his technical knowledge of photographic arcana, but he is doing a huge disservice to people who are trying to understand what real lenses do in the real world. For example if you want to shoot Sports in poor light and want a defocused background you'll get a more-blurred background with a 300 millimeter lens set at F 2.8 then you will with a shorter focal length if the same f-stop value. I know what the h*** I'm talking about, and the guy above is basically full of b******* and just making a very arcane and non-useful point. I have never seen a photographer measure the absolute aperture width and say, " oh, I would like to shoot at an aperture that is 25 mm in widt." That's not how we do it.
Trust me,I spent $7,000 on a pair of lenses that would completely blow out my backgrounds. There is a reason for the existence of the 400 millimeter F / 2.8 lens, And the 300 mm F 2.8 lens, and the 200mm f/2 lens. Let us look at the 200 mm f/2..... at f/2 the physical width of the aperture is roughly one half of the length of the lens, or 100 mm across. With a 50 mm lens f/2 is half of the length of the lens, or roughly 25 mm in width. With the 200mn f/2 VR Nikkor your backgrounds are blown out as shown by the above two sports photos that I took.Had I used the same relative aperture, f /2 and a shorter lens, the backgrounds would have had a much greater degree of recognizability; as we go to longer lenses, the same aperture, as an f/ value or put and other way "in relative terms", is greater. What I mean to say is that on a 200 millimeter lens F2 is a huge hole, 100mm across.... on a 50 mm lens f/2 is a hole that is a mere 25 mm across. Based upon calculations in the article that you referred us to, I believe that we would have roughly 20 times more defocus when shooting at f/2 with the 200 mm lens then we would have with a 35 millimeter lens and shooting at the same F value , f/ 2.0 Sometimes you have to pay very close attention to what is being written to understand an issue or a point of practical photography . What I was saying is that that as focal lengths get longer,the amount of background blur increases substantially as focal length gets longer because as I have here pointed out, with longer lenses fractional aperture values ( f / values) become hugely greater in area. For example take a look at the huge hole in the 200mmf2 at f/2, and look at the modest width of the aperture value of f/2 in a 50 mm lens.
Your appeal to Authority and quick web search goes against what hundreds of thousands of experienced Shooters understand, and that is why I so strenuously object to the way the author of the article you linked us to uses some really disingenuous ways of characterizing this issue. At f/4 let's say, a longer lens produces greater background blurring than does a shorter lens. Shoot your 35 mm prime lens at at f/4 and backgrounds are not all that blurry. Shoot your 300mm telephoto lens at at f/4 and backgrounds are fairly blurry. A quick web search can turn up all sorts of support for almost any position, but 45 years in photography has shown that the physically wider the aperture the more the background is blurred. An f/4 300 mm telephoto produces a pretty good degree of background blur and the hole width is how big? 1/4 the width of the length of the lens. With a 50 mm lens f/4 is roughly 12.5 mm across, and backgrounds are not that blurred. Your author is attempting to equalize f/values which are fractional values which take into account the length of the lens in use.... I have yet to encounter a light meter that measures light according to the measured width of the aperture opening itself, but instead we use a fractional value or an F stop reading.