Question: Using the relation (S) = 1/2 Re{E s Ã H s } and Eqs. (106) through (108), show that the average power density in the

Using the relation (S) = 1/2 Re{E_sÃ— H^ˆ—_s} and Eqs. (106) through (108), show that the average power density in the TE10 mode in a rectangular waveguide is given by

βιο (S) Ε sin

Eq. (106)

E_ys = E₀ sin (Îº_mx) e^{ˆ’jÎ²m0z}

Eq. (108)

На, — ј—— Ео cos(к,m,x)е jвnoz

(S) sin"(0X )a, W/m- 2 , cos(,m,x) jnoz

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