Assuming that a metallic rectangular waveguide whose cross-section is a × b such that a > b and it supports TE² mode of propagation. The field components can be expressed for TE² mode as: Ex Ey == = 1a4e є ду 1 де ε dx E₂ = 0 H₂ = Hy = jωμε ðydz 1 2² jωμε 0z2 Find the eigenfunction e for TE² mode. Show all steps. H₂ 1 a²e jωμε ðxdz 1 a²e = +K² Ve

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Assuming that a metallic rectangular waveguide whose cross-section is a × b such that a > b and it
supports TEZ mode of propagation. The field components can be expressed for TEZ mode as:
1d4e
Ex
Hx =
ε dy
1a4e
1 a²e
jωμε δxdz
1 a²e
Ey
Hy
ε dx
jωμε ðydz
1
E₂ = 0
H₂ =
Ve
jane (Jz² + K²) 4₂
jωμε
Find the eigenfunction e for TEZ mode. Show all steps.
==
=
=
Transcribed Image Text:Assuming that a metallic rectangular waveguide whose cross-section is a × b such that a > b and it supports TEZ mode of propagation. The field components can be expressed for TEZ mode as: 1d4e Ex Hx = ε dy 1a4e 1 a²e jωμε δxdz 1 a²e Ey Hy ε dx jωμε ðydz 1 E₂ = 0 H₂ = Ve jane (Jz² + K²) 4₂ jωμε Find the eigenfunction e for TEZ mode. Show all steps. == = =
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