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Unformatted text preview: ECE 450 Homework 11 Due: Tue, Nov 10, 2009, 5 PM 1. The electric field phasor of TE m mode in air-filled parallel-plate waveguides is given as ˜ E = 2 j ˆ yE o e- jk z z sin( k x x ) for < x < a subject to constraints k x = mπ a and k z = k 2- k 2 x = ω 2 c 2- k 2 x . The guide consists of a pair of infinite conducting plates separated in x-direction by a distance a . a) Determine the magnetic field phasor ˜ H for the waveguide by using the phasor form of Faraday’s law, ∇× ˜ E =- jωμ o ˜ H . b) Determine the surface current phasor ˜ J s for the conducting plate surfaces at x = 0 and x = a by applying the tangential boundary condition appropriate for ˜ H on a dielectric-conductor interface. c) Find the expression for the time-averaged Poynting vector for TE 2 mode, assuming a = 3 cm, E o = 1 mV/m, and f = 12 GHz — make sure to use numerical values for all the parameters in your expression....
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- Fall '09
- Transverse mode, Normal mode, air-ﬁlled parallel-plate waveguides, electric ﬁeld phasor