tsl323 - Energy Transport in Electromagnetic Plane Wave...

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Energy Transport in Electromagnetic Plane Wave Fields: E y ( x, t ) = E max sin( kx - ωt ) , B z ( x, t ) = B max sin( kx - ωt ) . Energy density: u ( x, t ) = 1 2 ² 0 E 2 y ( x, t ) + 1 2 μ 0 B 2 z ( x, t ) . [J/m 3 ] Use the amplitude relations ² 0 E 2 max = ² 0 c 2 B 2 max = 1 μ 0 B 2 max . u ( x, t ) = ² 0 E 2 max sin 2 ( kx - ωt ) = 1 μ 0 B 2 max sin 2 ( kx - ωt ) = E max B max 0 sin 2 ( kx - ωt ) . Energy transported across area A in time dt : dU ( x, t ) = u ( x, t ) Acdt. [J] Power transported per unit area:
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