Equations for Electromagnetic Waves: Propagation, Attenuation, Polarization, Reflection, Study notes of Computer Science

Download Equations for Electromagnetic Waves: Propagation, Attenuation, Polarization, Reflection and more Study notes Computer Science in PDF only on Docsity! EEE 171 Chapters 4 & 5 Equations 1 CHAPTER 4: WAVE PROPAGATION, ATTENUATION, POLARIZATION, REFLECTION, REFRACTION, AND DIFFRACTION Wave Equation: 2 2 2 2 1y yE E t xµε ∂ ∂ = ∂ ∂ Characteristic Impedance: Z µ ε = [Ω] Velocity of an EM Wave: 1 v fλ µε = = [m/s] Impedance of a Conducting Medium: j Z j ωµ σ ωε = + [Ω] Conductive Medium w/ Conductive, Magnetic, & Dielectric Losses: " j ' Z " j ' ωµ ωµ σ ωε ωε + = + + [Ω] Complex Permittivity and Permiability: ε = ε' − jε" [F/m] ; µ = µ' − jµ" [H/m] VSWR: 1 1 VSWR ρ ρ + = − ; 1 1 VSWR VSWR ρ − = + Conductors & Dielectrics: Conductors 100 σ ωε > ; ωε <<σ Quasi-Conductors 1 100 100 σ ωε < < ; ωε ≈σ Dielectrics 1 100 σ ωε < ; ωε >>σ Attenuation & Propagation Constant: ( )22 2j jγ ωµσ ω µε α β= − = + For Conductors: ( )1 2 j j j ωµσ γ ωµσ α β= = + = + Depth of Penetration (Skin Depth): 1 f δ πµσ = ; Depth for 1/e decrease in E in conductor Docsity.com EEE 171 Chapters 4 & 5 Equations 2 Loss Tangent: ' tan ' σ δ ωε = Reflection and Transmission Coefficient: See Table posted on webpage. Index of Refraction: r r c n v µ ε= = Poynting Vector: S E H= × ur ur uur [Wm-2 ] Average Poynting Vector Magnitude: { } { }2 21 1 1 1 2 2 2 * avS Re HH Z H Re Z E Re Z  = = =     Snell's Law: 2 1t in sin n sinθ θ= Critical Angle: 1 2 1 ic sin ε θ ε −  =      Diffraction from an Edge: 2 2 2 1 1 2 2 4av r S ; a ra λ κ λκ λπ   = = =    Docsity.com