A vector field characterizing a plane electromagnetic wave is given as A=Ae-(-x) where A = A...

 

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A vector field characterizing a plane electromagnetic wave is given as A=Ae-(-x) where A = A + A+ A-k is a real constant and it is the amlitude of A, also k=ki+k+ k_k is a constant wave vector, F = xi + yj + zk is the position of the wave, is the angular frequency and t is time. (a) Calculate the divergence of A, in Cartesian coordinates. (b) Calculate the curl of in Cartesian coordinates. A vector field characterizing a plane electromagnetic wave is given as A=Ae-(-x) where A = A + A+ A-k is a real constant and it is the amlitude of A, also k=ki+k+ k_k is a constant wave vector, F = xi + yj + zk is the position of the wave, is the angular frequency and t is time. (a) Calculate the divergence of A, in Cartesian coordinates. (b) Calculate the curl of in Cartesian coordinates.