(Dove Prism) A new type of prism inverts an image that comes in through one end (see Figure 1). The prism will be shaped like a trapezoid with a square cross-section and sides cut at a 45° angle, and that the prism will be made of a plastic called BK7 that has an index of refraction of 1.517. Decide on the dimensions of the prism in order to maximize the size of the image that can be inverted (see incoming/outgoing rays in the side view in Figure 2). How long (length B in Figure 1) should the prism be in terms of its height (length A in Figure 1)? What happens to an image that enters the prism on one side of its long face (see figure 3)? Make a drawing tracing the path of rays 4, 5, and 6 in figure 3 to find out. Figure 1
(Dove Prism) A new type of prism inverts an image that comes in through one end (see Figure 1). The prism will be shaped like a trapezoid with a square cross-section and sides cut at a 45° angle, and that the prism will be made of a plastic called BK7 that has an index of refraction of 1.517. Decide on the dimensions of the prism in order to maximize the size of the image that can be inverted (see incoming/outgoing rays in the side view in Figure 2). How long (length B in Figure 1) should the prism be in terms of its height (length A in Figure 1)? What happens to an image that enters the prism on one side of its long face (see figure 3)? Make a drawing tracing the path of rays 4, 5, and 6 in figure 3 to find out. Figure 1
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Transcribed Image Text:(Dove Prism)
A new type of prism inverts an image that comes in through one end (see Figure 1).
The prism will be shaped like a trapezoid with a square cross-section and sides cut
at a 45° angle, and that the prism will be made of a plastic called BK7 that has an
index of refraction of 1.517.
Decide on the dimensions of the prism in order to maximize the size of the image
that can be inverted (see incoming/outgoing rays in the side view in Figure 2). How
long (length B in Figure 1) should the prism be in terms of its height (length A in
Figure 1)?
What happens to an image that enters the prism on one side of its long face (see
figure 3)? Make a drawing tracing the path of rays 4, 5, and 6 in figure 3 to find out.
Figure 1
Figure 2
1
3
2
45°
3
1
Figure 2
Figure 3
45°
Figure 3
4 5 6
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