161_1_Class2

161_1_Class2 - EE161 Electromagnetic Waves Spring 2010 Prof...

Info iconThis preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: EE161 Electromagnetic Waves Spring, 2010 Prof. Y. Ethan Wang Electrical Engineering Dept. UCLA Lesson 2 • Boundary Conditions in PEC • Complex Variable & Phasor • Time-harmonic Maxwell’s equations • Wave Equations Summary of Boundary Conditions ) ( ) ( ) ( ) ( 2 1 2 1 2 1 2 1 = − ⋅ = − ⋅ = − × = − × B B i D D i J H H i E E i n S n S n n ρ n i Unit normal to the surface 1 2 boundary In scalar forms 2 1 2 1 2 1 2 1 = − = − = − = − n n S n n S t t t t B B ρ D D J H H E E In vector forms Application of boundary conditions are essential in solving Maxwell equations in differential form Boundary Conditions on Dielectrics n i Unit normal to the surface 1 2 boundary 2 1 2 1 2 1 2 1 = − = − = − = − n n S n n S t t t t B B ρ D D J H H E E 1 σ 2 σ , 2 1 = ⇒ s J finite σ σ 2 1 t t E E = 2 1 t t H H = The conclusion is: Boundary Conditions on PEC n i Unit normal to the surface 1 2 boundary 2 1 2 1 2 1 2 1 = − = − = − = − n n S n n S t t t t B B ρ D D J H H E E 1 σ 2 σ ∞ → 2 σ S n J H i = × 1 ∞ → 2 σ 2 1 = = t t E E ∞ → 2 σ 2 1 = = n n B B ∞ → 2 σ S n D ρ = 1 2 2 2 2 = = = = D B H E (inside PEC) Maxwell’s Equations and Boundary Conditions in One Glance Integral Form Differential Form Boundary Conditions ∫ ∫ ⋅ − = ⋅ S C dS dt d dl B E ∫ ∫ ∫ ⋅ + ⋅ = ⋅ S S C dS dt d dS dl D J H ∫ ∫ = ⋅ V S dv dS ρ D ∫ = ⋅ S dS B t ∂ ∂ −...
View Full Document

{[ snackBarMessage ]}

Page1 / 16

161_1_Class2 - EE161 Electromagnetic Waves Spring 2010 Prof...

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online