Fermat's Principle, Fourier Analysis, Standing waves, Normal Modes

  • Thread starter Sidnv
  • Start date
  • #1
20
0

Main Question or Discussion Point

Can someone provide me a link that explains and provides a proof for the following principles:

1. Fermat's Principle that light always takes the path that minimizes the time taken

2. Solution to a Fourier Series and why all periodic motion can be represented as an infinite sum of sines and cosines

3. Why only standing waves of wavelength integral multiples of half the length of a closed pipe are found

4. Why the motion of coupled oscillators is the superposition of their normal modes

Thanks,
Sid
 

Answers and Replies

Related Threads on Fermat's Principle, Fourier Analysis, Standing waves, Normal Modes

Replies
4
Views
3K
Replies
12
Views
1K
Replies
1
Views
569
  • Last Post
Replies
9
Views
718
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
2
Views
4K
  • Last Post
Replies
2
Views
3K
  • Last Post
Replies
17
Views
7K
  • Last Post
2
Replies
38
Views
3K
Top