Question
A surface wave with frequency ω = 3 × 10−5 rad s−1 is propagating at a metal-free space boundary. The plasma frequency of metal is 9 × 1015 rad and εr = 7. Estimate k. If the amplitude of the wave is 105 Vm−1 at the surface, what will be its value at
the depth of 0.2 µm in the metal? Ignore the collision effect.
Answer :
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To estimate the wave number \( k \), we can use the dispersion relation for a surface wave at the boundary between a dielectric and a conductor:
\[ k^2 = \frac{\omega^2}{c^2} - \frac{\omega_p^2}{c^2} \]
where:
- \( k \) is the wave number,
- \( \omega \) is the angular frequency of the wave,
- \( c \)
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