Eột, 2, 3, 4) = ýEo exp (iaz – tut – bc), with real parameters Eo, a,b,w, is a solution of the Maxwell equations in vacu

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Eột, 2, 3, 4) = ýEo exp (iaz – tut – bc), with real parameters Eo, a,b,w, is a solution of the Maxwell equations in vacuum (Gaus- sian units). (a) (8 marks) Determine the corresponding magnetic field; how are the parameters a, b, w related? (b) (4 marks) Explain when and why it is legitimate to use complex-valued electro- magnetic fields. (c) (8 marks) Calculate the energy transport by the electromagnetic fields • exactly; • time averaged over a period T = 27/W.