PHY2061 R. D. Field Department of Physics chp38_12.doc University of Florida Electromagnetic Plane Waves (1) We have the following two differential equationsfor Ey(x,t)and Bz(x,t): ∂BtExzy=−(1)and ∂µεEtBxyz100(2) Taking the time derivative of (2)and using (1)gives 2222111EttBxxBtExyzzy=−=which implies µε22220ExEtyy−=. Thus Ey(x,t)satisfies the wave equation with speed v=1/εµand has a solution in the form of traveling waves as follows: Ey(x,t) = E0sin(kx-ωt),where E0is the amplitude of the electric field oscillationsand where the wave has a unique speedvckfms== = ==×ωλ
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This note was uploaded on 05/31/2011 for the course PHY 2061 taught by Professor Fry during the Spring '08 term at University of Florida.