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The electric and magnetic fields for the TE mode propagating down a rectangular waveguide are given by: mnx пл CoS nny |sin ()eilkez-we) Amn E = -Amn Mny cos -sin Amn mak, sin aw cos e!(kgz-wt) B = Amn' nak, mnx |sin COS e!(kgz-wt) k² – k; max плу cos iAmn lei(kaz-wt) Cos (a) Show that the electric field satisfies V. E = 0. (b) Show that applying 7 x E = at leads to the condition: + k = k² (To do this, you only need to set the z-components of V × E and is no need to consider the x and y components]. as being equal. There at

The electric and magnetic fields for the TE mode propagating down a rectangular waveguide are given by: mnx пл CoS nny |sin ()eilkez-we) Amn E = -Amn Mny cos -sin Amn mak, sin aw cos e!(kgz-wt) B = Amn' nak, mnx |sin COS e!(kgz-wt) k² – k; max плу cos iAmn lei(kaz-wt) Cos (a) Show that the electric field satisfies V. E = 0. (b) Show that applying 7 x E = at leads to the condition: + k = k² (To do this, you only need to set the z-components of V × E and is no need to consider the x and y components]. as being equal. There at

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The electric and magnetic fields for the TE mode propagating down a rectangular waveguide are given by: nn cos Amn E = |sin () ei(kzz-wt) -Amn MA •sin (et(kz-wt) cos mak, Amn sin cos aw B = Amn nnk, mny sin cos le!(kzz-wt) k² – k? iAmn Nny Cos leilkzz-wt) cos (a) Show that the electric field satisfies V. E = 0. (b) Show that applying V × E = leads to the condition: at (=) + 4) + k = k² as being equal. There (To do this, you only need to set the z-components of ▼ × E and is no need to consider the x and y components]. at
Transcribed Image Text:The electric and magnetic fields for the TE mode propagating down a rectangular waveguide are given by: nn cos Amn E = |sin () ei(kzz-wt) -Amn MA •sin (et(kz-wt) cos mak, Amn sin cos aw B = Amn nnk, mny sin cos le!(kzz-wt) k² – k? iAmn Nny Cos leilkzz-wt) cos (a) Show that the electric field satisfies V. E = 0. (b) Show that applying V × E = leads to the condition: at (=) + 4) + k = k² as being equal. There (To do this, you only need to set the z-components of ▼ × E and is no need to consider the x and y components]. at
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