13.07.2015 Views

EE 438/538 Optoelectronic Devices & Applications

EE 438/538 Optoelectronic Devices & Applications

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Obtaining EM Wave from Maxwell Equations• These waves can also be derived from Maxwell’s equations∇∇××rErHr∂ H= − μ∂ tr∂ E= ε∂ tsolving in Cartesiancoordinate system∇rE=2 1c2∂∂rE2t2solving in sphericalcoordinate systemrEr r= E ⋅cos( ω ⋅t− k ⋅)oPlane waveSpherical waver ErorE = r ⋅cos( ω ⋅t− k ⋅)There are two periods.T : temporal periodλ : spatial periodf (or ν) ≡ 1/T(temporal) frequencyω ≡ 2π fangular frequency

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