Understanding Phase Velocity in Optical Fibers

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Homework Help Overview

The discussion revolves around the concept of phase velocity in optical fibers, including its definition and distinction from group velocity. Participants explore the mathematical representation of phase velocity and its implications in wave behavior.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the definition and equations related to phase velocity, including its relationship to group velocity. Questions arise regarding the implications of differing wave velocities and the nature of group velocity.

Discussion Status

Some participants have provided definitions and equations related to phase and group velocity, while others seek further clarification on the implications of different wave velocities. The discussion is ongoing with multiple aspects being explored.

Contextual Notes

There are references to external resources for further reading, indicating a desire for deeper understanding. Participants are encouraged to ask specific questions to guide the discussion.

dervast
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Hi do u know what phase velocity is>? I have found it a boot for optical fibers
vp=1/(srqt(em) m denotes greek m letter
 
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Yes that is correct, note that the equation you quote is equivalent to;

v_p = 1/(n*sqrt(e_0*m_0))

v_p = c/n

Phase velocity however is normally written as

v_g = w/k

Where w stands for the angular frequency (omega) and k is the wave-vector (or wave-number in 1D).

Phase velocity is just the velocity of the individual wave components (the velocity of the nodes, crests etc), not to be confused with group velocity which is the speed of the collective wave (or wave-packet).

Claude.
 
Thx a lot.. but what do u understand if the wave velocity of one signal is larger than the wave velocity of another wave?
And what is the group velocity?
thx a lot
 
Can anyone help me to this ?? If u have sometime please reply...
 

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