For the first two parts, ignore the mirror: In the figure on the next page, what

Question

For the first two parts, ignore the mirror: In the figure on the next page, what should s be if we want the second lens to form an image of the object on the detector? How does the image of the object move if the object moves to the right, +x direction? The mirror forms an image of the object. How far is that image from the optic axis? How far is that image from the lens surface, i.e. how far along the optic axis does the image seem to be? If we want to focus on the mirror image of the object, what should s be? Figure 2: Figure for mirror problem. Note that the mirror is at a 45 degree angle. Due to the symmetry of the 45 deg triangle, the mirror forms an image that it just as far off-axis as the object is along the axis.

Explanation / Answer

(1)

for lens 1

1/s1 + 1/s' = 1/f1

1/0.9f + 1/s1' = 1/f

s1 = -9f

s2 = 2f + s1' = 11f

for lens2

1/s2 + 1/s2' = 1/f

1/11f + 1/s2, = 1/f

s = s2' = 1.1 f <<--answer

(2)

image to the left of + x axis

(3)

x = 0.2 f

(4)

s1 = 0.9 + 0.2 = 1.1 f

(5)

1/s1 + 1/s1'= 1/f

1/(1.1f) + 1/s1 = 1/f

s1 = 11f

for lens 2

s2 = -(11f - 2f) = -9f

1/s2 + 1/s2' = 1/f2

-1/(9f) + 1/s2, = 1/f

s = s2' = 0.9 f

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