Need some help regarding phase and group velocity of a wave

AI Thread Summary
The discussion centers on the relationship between group velocity (v_g) and phase velocity (v_p) in the context of lasers and fiber optics. The formula v_g = v_p * sin(A) is presented, where A is the incident angle, suggesting a trigonometric basis for understanding these velocities. The user questions whether this interpretation aligns with the conventional definition of group velocity as the speed of the amplitude wave in a wave packet. Clarification is sought on whether there are multiple meanings of group velocity or if the presented formula accurately represents its general concept. The conversation emphasizes the importance of understanding how group velocity relates to energy flow in fiber optics.
ehj
Messages
79
Reaction score
0
I'm currently working with lasers and in relation to that, fiber optics. In the book I'm reading there's a section regarding modes and their "group velocity". The text claims that there is the following relation:
v_g=v_p * sin(A)
where v_g is the group velocity and
where v_p is the phase velocity and A is the incident angel as showed on the picture, although denoted as theta there.
From the picture you can see that the relation is reached by using trigonometry, and v_g is in this case simply the velocity in the direction along the fiber. My question is, if this is the general idea of group velocity? I thought group velocity was the velocity of the "amplitude wave" in a wave packet? Am I wrong, or are there just different meanings of group velocity?
 
Physics news on Phys.org
Here is the picture!
 

Attachments

  • Unavngivet.JPG
    Unavngivet.JPG
    19.3 KB · Views: 518
v_g found that way would be the velocity of the envelope of a wave packet.
It is the velocity of energy flow along the fiber direction.
 
The rope is tied into the person (the load of 200 pounds) and the rope goes up from the person to a fixed pulley and back down to his hands. He hauls the rope to suspend himself in the air. What is the mechanical advantage of the system? The person will indeed only have to lift half of his body weight (roughly 100 pounds) because he now lessened the load by that same amount. This APPEARS to be a 2:1 because he can hold himself with half the force, but my question is: is that mechanical...
Hello everyone, Consider the problem in which a car is told to travel at 30 km/h for L kilometers and then at 60 km/h for another L kilometers. Next, you are asked to determine the average speed. My question is: although we know that the average speed in this case is the harmonic mean of the two speeds, is it also possible to state that the average speed over this 2L-kilometer stretch can be obtained as a weighted average of the two speeds? Best regards, DaTario
Some physics textbook writer told me that Newton's first law applies only on bodies that feel no interactions at all. He said that if a body is on rest or moves in constant velocity, there is no external force acting on it. But I have heard another form of the law that says the net force acting on a body must be zero. This means there is interactions involved after all. So which one is correct?
Back
Top