1 / 10

Fields and Waves

Fields and Waves. Lesson 5.3. PLANE WAVE PROPAGATION Lossy Media. Wave Equations for a Conducting Medium. Homogenous wave equation for . Homogenous wave equation for . ; propagation constant is complex. Propagation Constant. Phase constant. Attenuation constant. [Np/m].

nalani
Télécharger la présentation

Fields and Waves

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Fields and Waves Lesson 5.3 PLANE WAVE PROPAGATION Lossy Media Lale T. Ergene

  2. Wave Equations for a Conducting Medium Homogenous wave equation for Homogenous wave equation for ; propagation constant is complex

  3. Propagation Constant Phase constant Attenuation constant [Np/m] (for a lossy medium) [rad/m]

  4. Solution of the Wave Equation The Electric Field in phasor form (only x component) General solution of the differential equation for a lossy medium backward traveling in -z direction forward traveling in +z direction

  5. Intrinsic Impedance, ηc The relationship between electric and magnetic field phasors is the same but the intrinsic impedance of lossy medium, ηc is different If +z is the direction of the propagation intrinsic impedance

  6. Skin Depth, δs shows how well an electromagnetic wave can penetrate into a conducting medium Skin Depth [m] Perfect dielectric: σ=0 α=0 δs=∞ Perfect Conductor: σ=∞ α=∞ δs=0

  7. Low-Loss Dielectric defined when ε’’/ε’<<1 practically if ε’’/ε’<10-2, the medium can be considered as a low-loss dielectric [Np/m] [rad/m] [Ω]

  8. Good Conductor defined when ε’’/ε’>>1 practically if ε’’/ε’>100 , the medium can be considered as a good conductor [Np/m] [rad/m] [Ω] • When 10-2≤ ε’’/ε’ ≤100, the medium is considered as a “Quasi-Conductor”. • Do Problem 1

  9. Average Power Density Average power density [W/m2]

  10. Average Power Density If ηc is written in polar form Average power density [W/m2] where Do Problem 2

More Related