[pure-silver] Re: lens resolution

  • From: "Richard Knoppow" <dickburk@xxxxxxxxxxxxx>
  • To: <pure-silver@xxxxxxxxxxxxx>
  • Date: Sat, 12 Jan 2008 19:26:55 -0800


----- Original Message ----- From: "Vick Ko" <vick.ko@xxxxxxxxxxxx>
To: <pure-silver@xxxxxxxxxxxxx>
Sent: Saturday, January 12, 2008 6:13 PM
Subject: [pure-silver] Re: lens resolution


It was true in the 80's. Max aperture was degraded by spherical aberations, minimum aperture was degraded by diffraction. Sweet spot was in the middle.

Now, with modern computations and aspherical lens generation, maximum performation can be had at max aperture (e.g. all those Leica ASPH lenses). Minimum aperture still comes with diffration effects.

How times change.

As for f64, f64 on a huge lens (e.g. LF lens) can still be away from the point where diffraction degrades the image.

...Vick

Aspherical surfaces can improve lens correction especially for spherical aberration and can simplify the lens since any aspherical surface can be duplicated by two or more spherical surfaces. However, the fact remains that several aberrations are proportional to the stop. Spherical, and its relation oblique spherical, and coma for instance. Also, unless the lens is designed so that there is no mechanical vignetting from the mount the uniformity of illumination will still improve as it is stopped down from maximum. There are some other factors such as astigmatism. While astigmatism is not affected by the stop the increased depth of focus (I mean focus) is increased by stopping down which tends to mitigate this problem. Its easier to make lenses now that have minimal spherical when wide open but most lenses will still benefit from being stopped down part way. Typical lenses have their best performance when stopped down from 2 to 3 stops from maximum aperture but this is not a rigid rule. Diffraction at the aperture stop can limit resolution. The limit is dependant on the f/stop and the image angle and also is different for the radial and tangential fields. The difference between these has to do with the eliptical shape of the stop at an angle from the optical axis. The resolution limit due to diffraction is larger as the stop becomes larger so that when the stop is not round the resoluton is greater for lines in the longer dimension. The places on the lens that the light rays enters determines whether they are part of the radial or tangential field. In practice it means that the lens will have greater resolution for lines that lie along a tangent, i.e., a circle than for those which lie on a radius. This is a similar effect to astigmatism but comes from a different source. The reason Ansel Adams and Edward Weston pictures are sharp is because most of them were photographed on large format film. Also, very few were made at f/64 even through the famous group was named the f/64 group. All lenses will exhibit a noticable diffraction blure at f/64. Probably the smallest stop that can be used for large format lenses without noticable blur is f/45 and most are "optimum" at around f/22. Note that for lenses with very wide coverage like the Goerz Dagor or any wide angle lens, the "optimum" depends on the field angle the lens is intended to cover. A Dagor working at "normal" focal length, that is where the focal length is about the same as the format diagonal, will be optimum at around f/22. When used at its maximum coverage angle, around 87 degrees (claimed) it must be stopped down to f/45 to eliminate blur at the margins. Optimum usually means the stop where increase in resolution from reduction of aberrations is equalled by loss of resolution by diffraction blur. For many large format lenses of around f/4.5 to f/6.8 its around f/22. For lenses of he sort use in smaller cameras it is generally larger.

---
Richard Knoppow
Los Angeles, CA, USA
dickburk@xxxxxxxxxxxxx
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