Soliton Theory: Spatial & Temporal Overview

  • Thread starter Thread starter saravanan13
  • Start date Start date
Click For Summary
Spatial solitons occur when nonlinear effects counteract diffraction, allowing the electromagnetic field to alter the medium's refractive index and maintain a stable structure during propagation. This creates a scenario akin to graded-index fiber, where the soliton remains confined and retains its shape. Temporal solitons, on the other hand, involve sending spatially confined pulses that maintain their shape due to nonlinear effects balancing dispersion. These temporal solitons were the first to be discovered and are commonly referred to simply as "solitons" in the field of optics. Understanding both types is crucial for advancements in optical communication and related technologies.
saravanan13
Messages
52
Reaction score
0
In the case of soliton theory, what is meant by spatial and temporal solitons?
Thanks in well advance...
 
Physics news on Phys.org
spatial solitons: the nonlinear effect can balance the diffraction. The electromagnetic field can change the refractive index of the medium while propagating, thus creating a structure similar to a graded-index fiber. If the field is also a propagating mode of the guide it has created, then it will remain confined and it will propagate without changing its shape
temporal solitons: if the electromagnetic field is already spatially confined, it is possible to send pulses that will not change their shape because the nonlinear effects will balance the dispersion. Those solitons were discovered first and they are often simply referred as "solitons" in optics.

Reference : wikipedia
 

Similar threads

Graduate Is M-Theory more fundamental than String Theory?
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Bright, dark soliton for cubic-quintic nonlinear Schrodinger
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Time rondeau crystals, experimental observations
  • · Replies 1 ·
Replies
1
Views
2K
Solitons, instantons etc. -- Studying the general theory of solitons in QFT
  • · Replies 2 ·
Replies
2
Views
1K
Coherence of Planar Wavefronts - Spatial & Temporal
  • · Replies 3 ·
Replies
3
Views
974
Conserved quantity due to invariance under temporal rotations
  • · Replies 3 ·
Replies
3
Views
2K
What are Soliton Particle Models?
  • · Replies 7 ·
Replies
7
Views
8K
Why is the solution of the phi^6 potential not a soliton?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Size of nuclei wave function in a crystal
  • · Replies 1 ·
Replies
1
Views
3K
Undergrad What is time in string/M-theory and Four-dimensionalism?
  • · Replies 1 ·
Replies
1
Views
3K