[rollei_list] Re: OT Schneider 21mm f/3.4 Super Angulon for Leica M

  • From: "Richard Knoppow" <dickburk@xxxxxxxxxxxxx>
  • To: <rollei_list@xxxxxxxxxxxxx>
  • Date: Wed, 24 Feb 2010 18:57:23 -0800


----- Original Message ----- From: "Eric Goldstein" <egoldste@xxxxxxxxx>
To: <rollei_list@xxxxxxxxxxxxx>
Sent: Wednesday, February 24, 2010 1:57 PM
Subject: [rollei_list] Re: OT Schneider 21mm f/3.4 Super Angulon for Leica M


It certainly can be... my point is that they are two different effects with two different causes. Do we know which is at work on this particular lens?
Is it a combination of both?


Eric Goldstein


Mechanical vignetting is the obscuring of part of the aperture by the lens mount. You can see this effect by looking back at the lens from the corners of the film gate. Its easier to see in a view camera than in a smaller camera like a rollei but its there. After you stop down sufficiently the entire aperture will be visible. Part of the fall off is from the "distortion" of the aperture. If you look at the iris staight on from the center it is round shaped but as you move toward the periphery of the image the iris becomes cat's eye shaped. So its effective aperture becomes smaller. Since it is larger in one direction than the other the resolution limit due to diffraction will vary with whether you are seeing light coming through the long way (higher resolution) or the short way (lower resolution). Another factor is the inverse square law between the lens and film. At the center of the image the distance is least. It becomes larger as you move toward the periphery so there is some fall off due to this law. Because the angle of the cone of exiting light is smaller for a retrofocus lens the fall off due to this effect is less. Roosinov found that if he introduced some coma into the stop its shape would then be magnified for larger image angles. The amount of coma can vary in different designs but accounts for as much as one term of the cos^4 theta factor. Most photographic lenses are orthogonal. That means that if you view a cross-hatched surface like graph paper, it will be reproduced with the cross-hatches all the same size and with the stright lines staight. Since the lens is seeing the periphery of the _object_ at a greater distance than the center a true reproduction would be to see the outside squares diminish in size. Actually, the diminishing perspective seen by the eye is duplicated in the image provided that its viewed from the right distance. Then the outside squares will be seen as being smaller even though at a longer distance they will all be seen to be the same. This also results in a single term of diminishing light. This same effect shows up on three dimentional objects in a different way. When one photographs an array of golf balls only the one in the center will be reproduce round. Those toward the periphery will become increasingly egg-shaped. When seen by the eye at the correct distance the diminishing perspective will make them look right again. The reason for "distortion" in orthogonal wide angle lenses is from viewing at too great a distance for the eye to see the same perspective the lens does. Lenses which are not orthogonal, such as a fish eye lens also do not have as much fall off. They give a similar effect to viewing an image reflected by the surface of a sphere. These images can not be corrected by changing viewing distance but can be made orthogonal by a corrective printing lens. Such combinations were used in aerial mapping, the Zeiss Pleon being an example.

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