EEE445_Lectr02

EEE445_Lectr02 - EEE591/445 Lecture 02 1 1.2 Maxwell Equations Maxwell’s Equations consist of six/four Eqs Constituent eqs B E M t D H J t D B ρ

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Unformatted text preview: EEE591/445 Lecture 02 1 1.2 Maxwell Equations Maxwell’s Equations consist of six/four Eqs: Constituent eqs B E M t D H J t D B ρ- ∂ ∇ × = - ∂ ∂ ∇ × = + ∂ ∇ ⋅ = ∇ ⋅ = (1.1a) (1.1b) (1.1c) (1.1d) E D H B ε μ = = (1.2a) (1.2b) Continuity eq is obtained by taking and using vector identity EEE591/445 Lecture 02 2 = ∂ ∂ + ⋅ ∇ t J ρ ) 1 . 1 ( b ⋅ ∇ (1.3) 2 ) ( ∇ ≡ ∇ ⋅ ∇ ≡ ∇ × ⋅ ∇ ≡ ∇ × ∇ 1.3 Fields in media and boundary conditions Displacement flux EEE591/445 Lecture 02 3 0 0 (1 ) ' ( '' ) ' '' e e e D E D E P E J E E j D J j E E j E E j j j E ε ε ε χ σ ϖ ϖ σ ϖε ϖε σ σ ϖ ε ε ϖ = = + = + = ∇ × = + = + = + + = - - Polarization vector Electric susceptibility Ohm’s law (1.17) (1.20) (1.19) (1.15) The loss tangent, define as A complex permittivity The general tensor form of (1.15) for anisotropic material EEE591/445 Lecture 02 4 ' ' ' tan ϖ ε σ ϖ ε δ + = ) tan 1 ( ) tan 1 ( ' ' ' δ ε ε δ ε ε ε ε j j j r- =- =- = (1.21) [ ] x xx xy xz x x y yx yy yz y y z zx zy zz z z D E E D E E D E E ε ε ε ε ε ε ε ε ε ε = = (1.22) Analog to equations (1.15) through (1.22) for electric materials, the equations (1.23)-(1.26) are designated for magnetic materials. for magnetic materials....
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This note was uploaded on 12/14/2010 for the course EEE 445 taught by Professor Georgepan during the Fall '10 term at ASU.

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EEE445_Lectr02 - EEE591/445 Lecture 02 1 1.2 Maxwell Equations Maxwell’s Equations consist of six/four Eqs Constituent eqs B E M t D H J t D B ρ

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