For ππΈππ modes, extract a cut-off frequency formula of an empty cylindrical waveguide lying
along π§ direction (π is the radius of the waveguide).
Hint: Use a function π’(π, β
, π§) = π
(π)Ξ¦(β
)π(π§) for a solution of Helmholtz equation in
cylindrical coordinates.
(give detailed solution pls)
Z
For 𝑇𝐸𝑚𝑛 modes, extract a cut-off frequency formula of an empty cylindrical waveguide ly
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For 𝑇𝐸𝑚𝑛 modes, extract a cut-off frequency formula of an empty cylindrical waveguide ly
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