Enlarge the optical system of Figure 18-15 to include an object space to the left and an image space to the right of the lens. Let the new input plane be located at distance 5 in object space and the new output plane at distance s′ in image space.
a. Recalculate the system matrix for the enlarged system.
b. Examine element B to determine the general relationship between object and image distances for the lens. Also determine the general relationship for the lateral magnification.
c. From the results of (b), calculate the image distance and lateral magnification for an object 20 cm to the left of the lens.
d. What information can you find for the system by setting matrix elements A and D equal to zero? (See Figure 18-9.)
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