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Unformatted text preview: 22 Imperfect dielectrics, good conductors Condition β α  η  τ λ = 2 π β δ = 1 α Perfect dielectric σ = 0 ω √ μ μ 2 π ω √ μ ∞ Imperfect dielectric σ ω 1 ∼ ω √ μ β 1 2 σ ω = σ 2 μ ∼ μ ∼ σ 2 ω ∼ 2 π ω √ μ 2 σ μ Good conductor σ ω 1 ∼ √ πfμσ ∼ √ πfμσ ωμ σ 45 ◦ ∼ 2 π √ πfμσ ∼ 1 √ πfμσ Perfect conductor σ = ∞ ∞ ∞ • The table above summarizes TEM wave parameters in homogeneous conducting media where the propagation velocity xpolarized phasor ˜ E = ˆ xE o e ∓ αz e ∓ jβz accompanied by ˜ H = ± ˆ y E o η e ∓ αz e ∓ jβz . v p = ω β (note that it can be frequency dependent) and field phasors can be expressed in formats similar to that shown in the margin, keeping in mind that propagation direction coincides with vector ˜ S ≡ ˜ E × ˜ H * such that S = E × H = 1 2 Re { ˜ S } is the average energy flux per unit area (timeaverage Poynting vector). 1 Example 1: Consider the plane TEM wave ˜ E = ˆ y 2 e αz e jβz V m , in an imperfect dielectric . Determine ˜ H and timeaverage Poynting vector S . Compute S at z = 0 and z = 10 m, if...
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This note was uploaded on 07/19/2010 for the course ECE ECE329 taught by Professor Kudeki during the Summer '10 term at University of Illinois at Urbana–Champaign.
 Summer '10
 KUDEKI

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