Uuglypher wrote:
A clarifying point I should have included is that the circumference of the aperture increases arithmetically ( 2x pi x r) while the area of aperture’s circle increases geometrically (pi x r squared). Thus as an aperture increases in area (geometrically) the increase of its circumference is disproportionately slower (arithmetric). Thus, less diffraction with a large f/16 aperture than with a small f/16 aperture.
Dave
Elmslie’s citation of Cambridge in Color in no way proves any aspect of my comments on diffraction relative to relative apertures to be incorrect in either relative or absolute terms. I may have been remiss in failing to emphasize that although the focal length and distance to sensor conspire to render the resolution effect of the significantly different diffraction occurring to a slight degree with a large f/16 aperture in a telephoto lens and to a much greater degree with a much smaller f/16 aperture with a wide angle lens may or may not be indistinguishable related to airy disc diameter and the pixel sizes of the sensors in use. For those of a more classic bent, the characteristic grain size of different photosensitive emulsions enters into consideration.
The above is not, I freely admit, germane to Bob’s original question, and for that I do, most abjectly, apologize for attempting to introduce a personally considered practical aspect into the conversation. Mea culpa maxima est! (with chest beating).
I should have been more pointed in emphasizing the basic fact that diffraction is, always, forever, and without exception, greater with smaller apertures than with larger apertures and that this incontrovertible fact is of significance only to those with the practical desire to get the best performance out of each of their lenses. To bring home the significance of this requires only that each, newly acquired prime lens be routinely and easily tested to determine, within the series of available smaller apertures, the aperture at which the obvious softening effect of diffraction actually becomes unacceptable. Zoom lenses must be similarly tested at different focal lengths.
It will be discovered that the particular aperture at which diffusion becomes critically objectionable will differ among different lenses (and will be judged differently by different observers).
We ought not forget that many of our modern cameras function with modes of various degrees of automation. Some exposure modes fail to take into consideration the phenomenon of the onset of unacceptable image “softness” due to diffraction with progressively smaller apertures. If you want a silky waterfall in bright sunlight, and choose shutter priority at a very long shutter duration and fixed ISO, you are taking your chances with your camera choosing a minuscule, diffraction-rich aperture.
And lastly, unacceptable “softness” is a highly personal criterion! Since having my old, well-used, cataractous lenses that had done yeoman service over almost eight decades replaced with new, crystal clear polymer ones, I am repeatedly discovering the need to re-evaluate a number of images from the more recent decades of my archives regarding the “sharp-soft dichotomy”. It is thus very much a case of “each to his own” or, as Miss Bibiana Stark, my high school Latin mentor would intone:
“De gustibus non est disputandum”.
...and so it goes!
Dave