Multipath dispersion of a pulse of light in an optical fiber.

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SUMMARY

The discussion focuses on the issue of multipath dispersion in optical fibers and solutions to mitigate it. Key strategies include narrowing the fiber core and adjusting the cladding's refractive index to closely match that of the core. These methods enhance light transmission efficiency by ensuring that only light at optimal angles reaches the receiver. The participant expresses uncertainty regarding the mathematical calculations related to path differences in relation to fiber width and length.

PREREQUISITES
  • Understanding of optical fiber structure and function
  • Knowledge of refractive index concepts
  • Familiarity with light propagation and angles in optical systems
  • Basic mathematical skills for analyzing path differences
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  • Research the impact of fiber core diameter on multipath dispersion
  • Study the relationship between refractive indices in optical fibers
  • Learn about mathematical modeling of light propagation in fibers
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Optical engineers, physics students, and professionals involved in telecommunications and fiber optics who are looking to understand and mitigate multipath dispersion in optical fibers.

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Homework Statement


Multipath dispersion of a pulse of light in an optical fiber.
How is this problem solved?
 
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Multipath dispersion is can be solved by:

1) Making the fibre (core) very narrow.

2) By making the cladding which surrounds the core very close to the core refractive index. The closer the two refractive indexes the better as any light that is less than a certain angle will be lost therefore only light that is at the right angle, preferably straight to the optical fibre, reaches the receiver.
 
Why does making the core narrower reduce multipath dispersion?
 
I've been thinking about this problem today, and I found this page as part of a search for more information.

At first I thought that it was obvious why reducing the width of the fibre would reduce the multipath dispersion. But having tried the problem with maths, I'm not so sure.

I've tried to calculate the maximum possible path difference along a fibre of length l and width d that has a maximim transmission angle of \theta to the normal of the core cladding boundary. I've come up with an expression for this path difference in terms of the length of the fibre... <Attached are my scribbles>


The problem with this formulae is that the path difference becomes a larger fraction of the total length of the fibre as the width of the fibre gets smaller.

Can anyone tell me where my maths has gone wrong?

Thanks
 

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