Demo06Polarization

Demo06Polarization - ECE 3030: Electromagnetic Fields and...

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Unformatted text preview: ECE 3030: Electromagnetic Fields and Waves Fall 2009 DEMO 6 INSTRUCTOR NOTES: Wave Polarization and Media Effects Reminder: Fall Break next Monday and Tuesday: No Demo 7! Date: Tuesday 10/6 1. Tuesday demos: Review items 2 through 4. Then work through prob- lems. Please let the TAs and me know how far you get. If you don’t have time to get through Problem 11.1, try to save time to at least outline it. 2. Waves in different media: be careful with different approximations (a) General formulae: • Wave number (non-conductor): k = ω √ μ ² = ω c n • Index of refraction: n = r ² ² o • Wave length: λ = 2 πc ω n • Effective permitivity: ² eff ( ω ) = ² ‡ 1- j σ ω² · • Effective refractive index: n eff ( ω ) = r ² eff ² = r ² ² r 1- j σ ω² • Real part of wave number: k = 2 π λ • Characteristic Impedance: η eff ( ω ) = r μ ² eff ( ω ) • Complex wave number: k = ω n eff ( ω ) c = ω √ μ ² s ² eff ( ω ) ² = ω p μ ² eff ( ω ) (b) Lossless dielectric: σ = 0, k = 2 π λ is real • Useful formula: ² = ² r ² , ² = 8 . 85 × 10- 12 F/m (c) Good conductor: σ ω² >> 1-→ n eff = r ² ² r- j σ ω² = r σ 2 ω² (1- j ) • Useful formula: k = 1 δ (1- j ), k = k- jk 00 , k = k 00 = 1 δ k = k 00 = r ωμ σ 2 , and note k k 00 = ωμ σ 2 for all metals. (d) Poor conductor, lossy dielectric: σ ω² << 1 • Useful formula: λ = 2 π/k , k 00 = σ 2 r μ ² CORNELL UNIVERSITY c WES SWARTZ (09/8/12) 6–1 ECE 3030: Electromagnetic Fields and Waves Fall 2009 DEMO 6 INSTRUCTOR NOTES: Wave Polarization and Media Effects (e) Plasmas: Electrons and ions as a gas mixture • Useful formula: k = ω c r 1- ω 2 p ω 2 , ω p = s Ne 2 m e ² • More constants: e = 1 . 6 × 10- 19 C, m e = 9 . 1 × 10- 31 kg....
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This note was uploaded on 01/16/2010 for the course ECE 3030 at Cornell.

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Demo06Polarization - ECE 3030: Electromagnetic Fields and...

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