A glass optical fiber is used to transport a light ray across a long distance. The fiber has an index of refraction of 1.540 and is submerged in water, which has an index of refraction of 1.333. What is the critical angle (in degrees) for the light ray to remain inside the fiber?

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A glass optical fiber is used to transport a light ray across a long distance. The fiber has an index of refraction of 1.540 and is submerged in water, which has an index of refraction of
1.333. What is the critical angle (in degrees) for the light ray to remain inside the fiber?
O
Transcribed Image Text:A glass optical fiber is used to transport a light ray across a long distance. The fiber has an index of refraction of 1.540 and is submerged in water, which has an index of refraction of 1.333. What is the critical angle (in degrees) for the light ray to remain inside the fiber? O
You are working in a fiber optics manufacturing facility. Your supervisor shows you a design for an optical fiber of the construction shown in the figure below.
Glass or
plastic core
Cladding
Jacket
= 1.59 and n clad
core
The indices of refraction for the fiber are n
1.58, and the radius of the fiber is 60.0 µm. While you think about these values, your supervisor asks you to
calculate the modal dispersion for a length L = 20.0 km of this optical fiber, and then leaves to go to lunch. You've heard about dispersion, but what's modal dispersion for an optical
fiber? Grabbing your smartphone, you look up modal dispersion and find that it is the time interval between arrivals of two light pulses at the far end of an optical fiber that are
incident simultaneously on the near end. The first pulse enters the near end of the fiber at normal incidence to the flat end of the fiber. The second pulse enters at an incidence angle
that will result in the pulse always reflecting from the core-cladding interface of the perfectly straight fiber at the critical angle for the interface. (Enter the modal dispersion in
seconds.)
Transcribed Image Text:You are working in a fiber optics manufacturing facility. Your supervisor shows you a design for an optical fiber of the construction shown in the figure below. Glass or plastic core Cladding Jacket = 1.59 and n clad core The indices of refraction for the fiber are n 1.58, and the radius of the fiber is 60.0 µm. While you think about these values, your supervisor asks you to calculate the modal dispersion for a length L = 20.0 km of this optical fiber, and then leaves to go to lunch. You've heard about dispersion, but what's modal dispersion for an optical fiber? Grabbing your smartphone, you look up modal dispersion and find that it is the time interval between arrivals of two light pulses at the far end of an optical fiber that are incident simultaneously on the near end. The first pulse enters the near end of the fiber at normal incidence to the flat end of the fiber. The second pulse enters at an incidence angle that will result in the pulse always reflecting from the core-cladding interface of the perfectly straight fiber at the critical angle for the interface. (Enter the modal dispersion in seconds.)
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