it is often necessary to convey or relay the image of an object while keeping th

Question

it is often necessary to convey or relay the image of an object while keeping the image size unchanged (unit magnification). Consider an object for which an image of the same size is desired, exactly 1m away

a)What is the focal length and the location of the single lens that will accomplish this?

b) the image of the object, using one lens, will be inverted. A relay system using two identical convex lenses will invert the inversion, yielding an upright image. Design such a system for the same intial situation as in the previous part.

Explanation / Answer

Part A)

For the magnification to be 1, the object and image distances must be the same. The focal length is half of that dustance, shown here by formula

1/f = 1/1 + 1/1

1/f = 2

f = .5m

Part B)

To use two lenses, you will need two 50 cm focal length lenses separated by 2 meters. Place the object 1 meter in front of the first and a final upright image will be formed 1 meter behind the last

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