(iii) Figure 1 shows an incident light ray passing through multiple translucent slabs with doubling indices of refraction, i.e., n, 2n, 4n, . Intuitively, the the incident light at an angle 0 will get refracted multiple times until the ray appears horizontal. Provide an equality expression that predicts the number of slabs, k, needed so that the outgoing beam is almost horizontal, i.e., the angle between the outgoing beam and the x-axis, 0,, is less than e (e is a small number close to zero)? Assume that the region outside the multiple slabs has the index of refraction, n = 1. INCIDENT BEAM n 2n 4n 8n . Figure 1

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Chapter25: Geometric Optics
Section: Chapter Questions
Problem 24PE: Suppose you are using total internal reflection to make an efficient corner reflector. If there is...
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q3(iii)
(iii)
translucent slabs with doubling indices of refraction, i.e., n, 2n, 4n, .
Intuitively, the the incident light at an angle 0, will get refracted multiple
times until the ray appears horizontal. Provide an equality expression that
predicts the number of slabs, k, needed so that the outgoing beam is almost
horizontal, i.e., the angle between the outgoing beam and the x-axis, 0, is
less than e (e is a small number close to zero)? Assume that the region
outside the multiple slabs has the index of refraction, n = 1.
Figure 1 shows an incident light ray passing through multiple
INCIDENT
п 2n 4n 8п...
BEAM
Figure 1
Transcribed Image Text:(iii) translucent slabs with doubling indices of refraction, i.e., n, 2n, 4n, . Intuitively, the the incident light at an angle 0, will get refracted multiple times until the ray appears horizontal. Provide an equality expression that predicts the number of slabs, k, needed so that the outgoing beam is almost horizontal, i.e., the angle between the outgoing beam and the x-axis, 0, is less than e (e is a small number close to zero)? Assume that the region outside the multiple slabs has the index of refraction, n = 1. Figure 1 shows an incident light ray passing through multiple INCIDENT п 2n 4n 8п... BEAM Figure 1
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