Relationship between the phase and group velocity in a conducting medium

AI Thread Summary
The relationship v_{\varphi}v_{g}=v^{2}=\frac{1}{\mu \varepsilon} is examined in the context of electromagnetic wave propagation in plasma and other conducting media. It is discussed whether this equation holds true universally in such environments. Factors influencing the phase and group velocities, including the medium's properties, are considered. The discussion highlights the complexities of wave behavior in plasmas compared to non-conducting media. Overall, the validity of the equation in various conditions remains a key point of inquiry.
megaflop
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Is the relation v_{\varphi }v_{g}=v^{2}=\frac{1}{\mu \varepsilon } always true in a plasma ?
Where v_{\varphi }, v_{g} are respectively the phase and group velocity of the electromagnetic wave that is propagating in the plasma.
 
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megaflop said:
Is the relation v_{\varphi }v_{g}=v^{2}=\frac{1}{\mu \varepsilon } always true in a plasma ?
Where v_{\varphi }, v_{g} are respectively the phase and group velocity of the electromagnetic wave that is propagating in the plasma.

I said in a plasma but it could be in any conducting medium.
 

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