How Do Different Wavelengths Affect Pulse Timing in Fiber Optics?

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SUMMARY

The discussion focuses on the effect of different wavelengths on pulse timing in fiber optics, specifically analyzing light pulses at 500 nm and 600 nm sent through a 1 km fiber. The refractive indices provided are n(500 nm) = 1.45 and n(600 nm) = 1.400, which directly influence the group velocity of the light pulses. To determine when the two pulses exit the fiber relative to each other, the group velocity formula must be applied, despite the participant's unfamiliarity with the concept. This analysis is crucial for understanding pulse timing in optical communications.

PREREQUISITES
  • Understanding of refractive index and its significance in optics
  • Familiarity with the concept of group velocity
  • Basic knowledge of fiber optic technology
  • Ability to perform calculations involving light propagation in media
NEXT STEPS
  • Research the formula for group velocity in optical fibers
  • Study the impact of refractive index on light propagation
  • Explore the differences in pulse timing for various wavelengths in fiber optics
  • Learn about dispersion in fiber optics and its effects on signal integrity
USEFUL FOR

Students in optics courses, optical engineers, and professionals involved in fiber optic communications who seek to understand the timing and behavior of light pulses in different wavelengths.

mmanu
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Homework Statement


I'm taking an introduction course in optics and I came across this exercise which I can't find how to solve:
"Two light pulses with different wave lengths 500 and 600 nm is sent into a 1 km long fiber.
n(610 nm) = 1.399, n(600 nm) = 1.400, n(510 nm) = 1.448, n(500) = 1.45.
When will the two pulses come out of the fiber relative to each other?"
(Hopefully the translation is OK..)

Homework Equations


I suspect that I might need to use group velocity (http://en.wikipedia.org/wiki/Group_velocity), but this has not been taught in the class so far, so perhaps there is an easier way to tackle the problem??

The Attempt at a Solution


Nothing that has ended up embarrassingly wrong... :/

Thanks in advance!

BR
/Manu
 
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Welcome to Physics Forums, mmanu.

So you have been given the refractive index of the fibre optic cable for a range of frequencies. How is the refractive index defined?
 

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