Why does light take an extremum path according to Fermat's Principle?

Click For Summary
SUMMARY

Fermat's Principle states that light travels along paths that minimize or maximize travel time, known as extremum paths. This principle applies to various scenarios, including refraction and reflection, where light can take both the shortest and longest routes. The discussion emphasizes that while the shortest path is intuitive, the longest path also adheres to this principle, challenging conventional understanding. The community consensus is that these extremum paths are fundamental to the behavior of light, regardless of mathematical derivations.

PREREQUISITES
  • Understanding of Fermat's Principle
  • Basic knowledge of optics and light behavior
  • Familiarity with concepts of refraction and reflection
  • Awareness of extremum principles in physics
NEXT STEPS
  • Research the implications of Fermat's Principle in optics
  • Explore the concept of light paths in different media
  • Study the relationship between light speed and path length
  • Investigate applications of extremum principles in other areas of physics
USEFUL FOR

Students of physics, optical engineers, and anyone interested in the fundamental principles governing light behavior.

Nitin Gupta
Messages
9
Reaction score
0
According to Fermat's Principle (modified version) a light ray takes an extremum path. Can anyone explain the physical reason behind this? I mean, sure the light can take the least path but how can it take the longest path? And if it can indeed take the longest path, why not the paths shorter than longest? (Please, I don't want mathematical explanation. I am new here, if this is posted at wrong place or any other problem please PM me)
 
Science news on Phys.org
People can tell many different things but they all boil down to this: That's the way it is!
 

Similar threads

  • · Replies 42 ·
2
Replies
42
Views
5K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 20 ·
Replies
20
Views
5K
  • · Replies 8 ·
Replies
8
Views
1K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K