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Revision of Plane Wave Propagation

# Revision of Plane Wave Propagation - NUS/ECE EE4101...

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Hon Tat Hui Revision of Plane Wave Propagation NUS/ECE EE4101 1 Revision of Plane Wave Propagation 1 Plane Waves in Lossless Media In a source free lossless medium, . 0 = = = σ ρ J 0 0 = = = × = × H E E H H - E μ ε ε μ t t Maxwell’s equations: See animation “Plane Wave Viewer”

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Hon Tat Hui Revision of Plane Wave Propagation NUS/ECE EE4101 2 Take the curl of the first equation and make use of the second and the third equations, we have: E H E 2 2 2 t t = × = με μ ( ) E E E 2 : Note = × × This is called the wave equation : 0 2 2 2 = E E t με A similar equation for H can be obtained: 0 2 2 2 = H H t με
Hon Tat Hui Revision of Plane Wave Propagation NUS/ECE EE4101 3 In free space, the wave equation for E is: 0 2 2 0 0 2 = E E t ε μ where 2 0 0 1 c = ε μ c being the speed of light in free space (~ 3 × 10 8 (m/s)). Hence the speed of light can be derived from Maxwell’s equation.

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