[rollei_list] Re: Contrast and Resolution

  • From: "Richard Knoppow" <dickburk@xxxxxxxxxxxxx>
  • To: <rollei_list@xxxxxxxxxxxxx>
  • Date: Thu, 8 Nov 2007 19:37:51 -0800


----- Original Message ----- From: <Choiliefan@xxxxxxx>
To: <rollei_list@xxxxxxxxxxxxx>
Sent: Thursday, November 08, 2007 6:56 PM
Subject: [rollei_list] Re: Contrast and Resolution



In what ways, if any does refraction affect this as the lens is stopped down? This distribution of energy must give individual lenses their signature bokeh
then, no?
I'm trying to get a grasp on this...
Health, Peace
Lance
Selma, NC 27576


I think you mean diffraction. The usual limit given for the resolution of a lens is the "diffraction limit", that is, what an aperture the same size as the entrance pupil with no aberrations would deliver. There are exceptions to this rule but it is close enough for our purposes. The larger the aperture the higher the resolution, however, in practical lenses the aperture size also affects several of the aberrations, notably spherical and coma, which are proportional to the stop and have an indirect effect on others such as astigmatism and field curvature. The smaller the stop or aperture size the more coma and spherical will be reduced. The other aberrations remain constant but the increase in depth of focus aleviates them to some extent. The problem is that there is a point of diminishing returns, that is, making the stop smaller will improve lens performance to the point where the increasing blur from diffraction becomes larger than the blur from the aberrations. This is often called the optimum stop. Since coma varies with the image angle the optimum stop varies with the angle of coverage required of the lens, the wider the angle the smaller the stop required. This is why wide angle lenses, especially older ones, need to be worked at very small stops. There are two kinds of chromatic aberration: longitudinal chromatic is the difference in focus with variation in color. Most lenses are corrected for this for two colors, typically blue-green and orange, these are called acromatic lenses. Some lenses are corrected for three colors and are called apochromatic. Note that many current lenses with APO in their names are actually acromats. This kind of chromatic is constant with aperture, but like curvature of field the increasing depth of focus with stopping down reduces the effect somewhat. The other kind of chromatic aberarration is called lateral chromatic or chromatic variation of magnification. In lenses with this fault the colors _focus_ at the same point but the images are of different sizes. Stopping down here does not help. Lateral chromatic can be corrected by symmetry which automatically cancels it where the overall optical path is symmetrical, that is, 1:1 object and image distance, but nearly symmetrical lenses have a great reduction in the aberration. Lateral chromatic can also be corrected in completely non-symmetrical lenses, like the Tessar, by careful choice of glass and design, I don't know the exact technique. The Kodak Commercial Ektar is an example of a Tessar type lens with excellent correction for lateral chromatic. Bokeh is a description of the character of the out of focus parts of the image. Its seems to be an artifact of the balance of higher order aberrations in the lens. Probably color also affects bokeh in both color and B&W images. There are many scientific and technical papers written about the "unsharp" image, mostly beyond me. But, Bokeh is certainly affected by color correction.

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Richard Knoppow
Los Angeles, CA, USA
dickburk@xxxxxxxxxxxxx
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