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 orplastic coreCladdingJacket= 1.60 and n =cladThe indices of refraction for the fiber are ncore1.59, and the radius of the fiber is 50.0 µm. While you think about these values, your supervisor asks you to calculate the modaldispersion for a length L = 10.0 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, youlook 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 entersthe 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 ofthe perfectly straight fiber at the critical angle for the interface. (Enter the modal dispersion in seconds.)S

The refractive indices of core and cladding isThe radius of the fiber is (r) =50mlength of the fiber…

Answered: You are working in a fiber optics…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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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
= 1.60 and n =
clad
The indices of refraction for the fiber are ncore
1.59, 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 = 10.0 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.)
S

Expert Solution

Step 1: Given data

The refractive indices of core and cladding is

$n subscript c o r e end subscript equals 1.60 space a n d space n subscript c l a d end subscript equals 1.59$

The radius of the fiber is (r) =50 $mu$ m

length of the fiber (L) = 10km

speed of the light(c) = 3x108m/s

We have formula for the model dispersion is

$increment t subscript m o d end subscript equals fraction numerator n subscript c o r e end subscript L over denominator c end fraction cross times fraction numerator open parentheses n subscript c o r e end subscript minus n subscript c l a d end subscript close parentheses over denominator n subscript c l a d end subscript end fraction$

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