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 + The indices of refraction for the fiber are ncore = 1.56 and nclad = 1.55, and the radius of the fiber is 50.0 μm. While you think about these values, your supervisor asks you to calculate the modal dispersion for a length L = 18.0 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 f the perfectly straight fiber the critical angle for the interface. (Enter the modal dispersion in seconds.)

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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
i
The indices of refraction for the fiber are ncore = 1.56 and nclad = 1.55, and the radius of the fiber is 50.0 μm. While you think about these values, your supervisor asks you to calculate the modal dispersion for a
length L = 18.0 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.)
x
Write equations for the time intervals required for the two beams of light to travel the length of the optical fiber and then subtract. s
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 i The indices of refraction for the fiber are ncore = 1.56 and nclad = 1.55, and the radius of the fiber is 50.0 μm. While you think about these values, your supervisor asks you to calculate the modal dispersion for a length L = 18.0 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.) x Write equations for the time intervals required for the two beams of light to travel the length of the optical fiber and then subtract. s
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