Intermediate EM Waves: Understanding Magnetic Current and Its Role in Maxwell's Equations , Study notes of Electrical and Electronics Engineering

Download Intermediate EM Waves: Understanding Magnetic Current and Its Role in Maxwell's Equations and more Study notes Electrical and Electronics Engineering in PDF only on Docsity! Prof. David R. Jackson Dept. of ECE. Fall 2008 Notes 5 ECE 6340 Intermediate EM Waves 1 Magnetic Current Maxwell’s Equations: 0 ρ∇⋅ = ∇ ⋅ = vD B 0 ∂ ∇× = + ∂ ∂ ∇× = − ∂ t t D H J B E Missing terms corresponding to , mvρ M q D qm B + + (north magnetic pole) 2 Magnetic Current Maxwell’s Equations: ρ ρ ∇⋅ = ∇ ⋅ = v m v D B ∂ ∇× = + ∂ ∂ ∇× = − − ∂ t t D H J B E M 5 Usefulness of magnetic current concept: radiation from a waveguide b Ey TE10 mode n̂ Waveguide with infinite baffle Magnetic current ˆ apsM n E= − × Equivalence Principle Magnetic Current (cont.) 6 Image Theory We can now remove the ground plane Magnetic current Magnetic current Magnetic Current (cont.) ˆ apsM n E= − × ˆ2 apsM n E= − × 7