2. In a certain 2D radiation problem (all fields independent of z), the only non-zero compo- nents of fields are di H=2jweo; E= -x- +y The media constants are (eo, po). As usual the radian frequency is w. Let us expand the potential as (x, y) 1 2T 1 + at the theo thuyt ch - < x < , y 0. 88 If the r-component of electric field is given at y = 0+ to be E(x, 0): = Eo sin [k(-x)], -1/2 xl/2, (i) Determine & by specializing the field expressions to y = 0. Evaluate the relevant integral in a closed form. (15 points) (ii) Find expressions for all components of fields for y 0. (You may leave the field expressions in the form of integrals over kr.) (10 points) (iii) What is the expression for real part of power flow per unit width (in the z direction)? (Your answer can be left in terms of one integral.) (10 points)