Phase velocity greater than propagation velocity

Click For Summary
SUMMARY

The discussion centers on the relationship between phase velocity and propagation velocity in wave mechanics, specifically using a wavelength of 4 meters and a frequency of 30 cycles per second. The calculated wave propagation velocity is 120 m/s, which equals the phase velocity under the given conditions. The query posed is whether there are scenarios outside of electromagnetic waves where phase velocity can exceed propagation velocity, and if so, what numerical values would facilitate this condition.

PREREQUISITES
  • Understanding of wave mechanics concepts such as phase velocity and propagation velocity
  • Familiarity with angular frequency and wave number calculations
  • Knowledge of electromagnetic wave properties
  • Basic mathematical skills for manipulating wave equations
NEXT STEPS
  • Research conditions under which phase velocity exceeds propagation velocity in non-electromagnetic waves
  • Explore the mathematical derivation of phase velocity and propagation velocity in various wave types
  • Investigate the implications of phase velocity in dispersive media
  • Study examples of wave phenomena where phase and group velocities differ significantly
USEFUL FOR

Students and professionals in physics, particularly those focused on wave mechanics, as well as engineers working with wave propagation in various media.

Point Conception
Gold Member
Messages
1,159
Reaction score
1,884
With:
wavelength = 4 meters
frequency = 30 cycles/sec
period, T, = .033 sec/cycle
wave propagation velocity = 120 m/s
wave number ,k, = 2pi/wavelength = 1.57 radians/meter
angular frequency, w, = 2pi/T = 188.5 radians/sec
phase velocity = w/k = 120m/s
In the above propagation velocity equals phase velocity
Question: what values here would vary so that phase velocity is greater than propagation velocity ?
 
Physics news on Phys.org
atyy said:

I have a copy of the above but that is in reference to EM waves.
Is it only in the case of electromagnetic waves where phase velocity can be greater than propagation velocity ?

If not then I would like to see a numerical answer to my original question
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
7K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 18 ·
Replies
18
Views
6K
  • · Replies 8 ·
Replies
8
Views
6K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 17 ·
Replies
17
Views
2K
  • · Replies 21 ·
Replies
21
Views
20K
  • · Replies 5 ·
Replies
5
Views
6K