Show that the vector wave equation of (3- 53) reduces, when E has a solution of the form (3-47), to the three scalar wave equations 3-54a through 3-54c. V(V.E) - V x V x E = -8E (3-53) E(0,0,z) = , E (,0,z) yEp(0,0,z) , E2 (0,0,z) (3-47) (3-54a) vie, (1 - 2 ) --FE, v Es (5 ) = -8E = (3-54b) V2E2 = -B'E (3-54c)