Relation between phase velocity and group velocity

  • Thread starter iVenky
  • Start date
  • #1
212
12
I know the physical meaning of phase as well as the group velocity.

I want to know the mathematical relationship between the phase velocity and group velocity.

Thanks a lot.
 

Answers and Replies

  • #2
3,788
443
If you know the definitions, you can easily find a relationship.
 
  • #3
212
12
If you know the definitions, you can easily find a relationship.

It looks as if the group velocity is the derivative of phase velocity but I don't think I am correct.

What's the exact relationship?

Thanks a lot.
 
  • #4
3,788
443
It looks as if the group velocity is the derivative of phase velocity but I don't think I am correct.
The group velocity can be related to the derivative of phase velocity (in respect to k or λ
). It is not just equal to the derivative, it won't even make sens dimensionally. What relationship did you find?
 
  • #5
212
12
The group velocity can be related to the derivative of phase velocity (in respect to k or λ
). It is not just equal to the derivative, it won't even make sens dimensionally. What relationship did you find?

Could not find anything.
 
  • #7
3,788
443
Could not find anything.
I did not mean to look it up but to find it by direct calculation.
 

Related Threads on Relation between phase velocity and group velocity

Replies
3
Views
18K
Replies
2
Views
2K
  • Last Post
Replies
4
Views
5K
  • Last Post
Replies
4
Views
829
  • Last Post
Replies
2
Views
6K
  • Last Post
Replies
1
Views
3K
  • Last Post
Replies
5
Views
3K
Replies
2
Views
18K
Replies
10
Views
7K
Replies
1
Views
604
Top