Ch 3 Maxwells Equations in Differential Form Faradays

Ch 3. Maxwell’s Equations in Differential Form • Faraday’s Law and Ampere’s Circuital Law (法拉第定律與安培迴路定律) • Gauss’ Laws and the Continuity equation (高斯定律與電流連續方程) • Curl and Divergence (旋度與散度) • Uniform Plane Waves in Time Domain in Free Space (自由空間時域平面波) • Sinusoidally Time-Varying Uniform Plane Waves in Free Space (自由空間正弦時變平面波) • Polarization of Sinusoidally Time-Varying Vector Fields (正弦時變向量場的偏振) • Power Flow and Energy Storage (功率流與能量貯藏)

Ch 3. Maxwell’s Equation in Differential Form • Faraday’s Law and Ampere’s Circuital Law (法拉第定律與安培迴路定律) • Gauss’ Laws and the Continuity equation (高斯定律與電流連續方程) • Curl and Divergence (旋度與散度) • Uniform Plane Waves in Time Domain in Free Space (自由空間時域平面波) • Sinusoidally Time-Varying Uniform Plane Waves in Free Space (自由空間正弦時變平面波) • Polarization of Sinusoidally Time-Varying Vector Fields (正弦時變向量場的偏振) • Power Flow and Energy Storage (功率流與能量貯藏)

Ch 3. Maxwell’s Equation in Differential Form • Faraday’s Law and Ampere’s Circuital Law (法拉第定律與安培迴路定律) • Gauss’ Laws and the Continuity equation (高斯定律與電流連續方程) • Curl and Divergence (旋度與散度) • Uniform Plane Waves in Time Domain in Free Space (自由空間時域平面波) • Sinusoidally Time-Varying Uniform Plane Waves in Free Space (自由空間正弦時變平面波) • Polarization of Sinusoidally Time-Varying Vector Fields (正弦時變向量場的偏振) • Power Flow and Energy Storage (功率流與能量貯藏)

Ch 3. Maxwell’s Equation in Differential Form • Faraday’s Law and Ampere’s Circuital Law (法拉第定律與安培迴路定律) • Gauss’ Laws and the Continuity equation (高斯定律與電流連續方程) • Curl and Divergence (旋度與散度) • Uniform Plane Waves in Time Domain in Free Space (自由空間時域平面波) • Sinusoidally Time-Varying Uniform Plane Waves in Free Space (自由空間正弦時變平面波) • Polarization of Sinusoidally Time-Varying Vector Fields (正弦時變向量場的偏振) • Power Flow and Energy Storage (功率流與能量貯藏)

C. Stokes’ 定理

散度(divergence)定理

Ch 3. Maxwell’s Equation in Differential Form • Faraday’s Law and Ampere’s Circuital Law (法拉第定律與安培迴路定律) • Gauss’ Laws and the Continuity equation (高斯定律與電流連續方程) • Curl and Divergence (旋度與散度) • Uniform Plane Waves in Time Domain in Free Space (自由空間時域平面波) • Sinusoidally Time-Varying Uniform Plane Waves in Free Space (自由空間正弦時變平面波) • Polarization of Sinusoidally Time-Varying Vector Fields (正弦時變向量場的偏振) • Power Flow and Energy Storage (功率流與能量貯藏)

James Clerk Maxwell (1831 -1879) Maxwell’s Equations, Prediction of electromagnetic waves Heinrich Rudolf Hertz (1857 -1894) Experimental verification of electromagnetic waves

均勻平面波 (Uniform Plane Waves) 電磁波:

Ch 3. Maxwell’s Equation in Differential Form • Faraday’s Law and Ampere’s Circuital Law (法拉第定律與安培迴路定律) • Gauss’ Laws and the Continuity equation (高斯定律與電流連續方程) • Curl and Divergence (旋度與散度) • Uniform Plane Waves in Time Domain in Free Space (自由空間時域平面波) • Sinusoidally Time-Varying Uniform Plane Waves in Free Space (自由空間正弦時變平面波) • Polarization of Sinusoidally Time-Varying Vector Fields (正弦時變向量場的偏振) • Power Flow and Energy Storage (功率流與能量貯藏)

Sinusoidally Time-Varying Uniform Plane Waves in Free Space , 在z=0處 若 向 z 傳遞 其中

正弦電磁波 x E z y H x E H z y 線偏振電磁波 (linearly polarized EM wave)

Ch 3. Maxwell’s Equation in Differential Form • Faraday’s Law and Ampere’s Circuital Law (法拉第定律與安培迴路定律) • Gauss’ Laws and the Continuity equation (高斯定律與電流連續方程) • Curl and Divergence (旋度與散度) • Uniform Plane Waves in Time Domain in Free Space (自由空間時域平面波) • Sinusoidally Time-Varying Uniform Plane Waves in Free Space (自由空間正弦時變平面波) • Polarization of Sinusoidally Time-Varying Vector Fields (正弦時變向量場的偏振) • Power Flow and Energy Storage (功率流與能量貯藏)

時變向量場的 “偏振” 形式 Linear polarization (線偏振) Circular polarization (圓偏振) Elliptical polarization (橢圓偏振)

Ch 3. Maxwell’s Equation in Differential Form • Faraday’s Law and Ampere’s Circuital Law (法拉第定律與安培迴路定律) • Gauss’ Laws and the Continuity equation (高斯定律與電流連續方程) • Curl and Divergence (旋度與散度) • Uniform Plane Waves in Time Domain in Free Space (自由空間時域平面波) • Sinusoidally Time-Varying Uniform Plane Waves in Free Space (自由空間正弦時變平面波) • Polarization of Sinusoidally Time-Varying Vector Fields (正弦時變向量場的偏振) • Power Flow and Energy Storage (功率流與能量貯藏)

Power Flow (功率流) in an Electromagnetic Field Poynting vector