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

Click For Summary

Homework Help Overview

The discussion centers around the concept of multipath dispersion of a pulse of light in an optical fiber, specifically exploring how various factors influence this phenomenon.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss potential solutions such as narrowing the fiber core and adjusting the refractive index of the cladding. Questions are raised regarding the underlying reasons for these approaches, particularly how core width affects multipath dispersion.

Discussion Status

The conversation is ongoing, with some participants providing insights into potential solutions while others express uncertainty and seek clarification on the mathematical aspects of the problem. There is an active exploration of the implications of core width on path differences.

Contextual Notes

One participant mentions attempting to derive a mathematical expression related to path differences, indicating a deeper inquiry into the problem's quantitative aspects. There is a suggestion that the relationship between fiber width and path difference may not be as straightforward as initially assumed.

Sauk
Messages
6
Reaction score
0

Homework Statement


Multipath dispersion of a pulse of light in an optical fiber.
How is this problem solved?
 
Physics news on Phys.org
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 [tex]\theta[/tex] 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
 

Attachments

  • photo.jpg
    photo.jpg
    29.9 KB · Views: 999

Similar threads

  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 22 ·
Replies
22
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 25 ·
Replies
25
Views
4K
  • · Replies 7 ·
Replies
7
Views
3K
Replies
1
Views
3K