By Dr. Leo Louis Martello
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Extra info for It's Written in the Cards - An Atomic Age Approach to Card Reading
The formula for lens extension in the previous paragraph is interesting in another way. The amount of extension needed to focus a lens from infinity to some defined distance scales as the square of focal length. A lens twice as long in focal length as a normal lens needs to be extended by four times as much as a normal lens. Similarly, a lens of half the focal length of a normal lens needs only one-quarter of the extension. This explains why wide angle lenses hardly seem to move at all in focusing from infinity to a near distance of a meter or so.
Well, let’s suppose we are photographing a person indoors. He is seated in a high backed rocker about 10 feet from our camera. About three feet behind him is a window. Through the window we can see part of the house next door and beyond that the mountains. We use a variety of lenses from 300 mm to 20 mm in focal length. 2 mm closer to the lens than it is supposed to be. What objects will be in focus? Using the basic lens formula, Equation (1), we obtain the answers shown in the table below. f is the focal length of our lens, D is the distance from the lens to the object actually in focus.
The sketch I used to help solve this little problem looked something that shown in Figure 14. Note that Figure 14 is not drawn to scale. The drawing simply helps us to recall how to calculate the various diameters. Object Field Rules of Thumb It might help to write down a few preliminary “rules-of-thumb” to help us in our photography. Later, in Chapter 10, we’ll add to this list. For now, twelve of them which apply to the object field are as follows: 1. If we want an object to be resolved, we make sure that the disk-of-confusion is smaller than the object.