2. (20 pts) An electromagnetic surface

wave propagates on a grounded dielectric

slab as shown below. (The structure is

infinite in the y direction.) In the air z

region above the slab (z > 0), the electric

field in the phasor domain has the

following form:

E(x,z)=yee [V/m],

E,

where k, and a are both positive real numbers. Note that there is no y variation of the fields of

this surface wave.

a) Find the magnetic field vector H, in the phasor domain, and the complex Poynting vector in

the air region.

b) Find the time average power in watts going (from left to right) through a surface S, which

extends from the top of the slab (z = 0) to infinity in the vertical z direction and is one meter

wide in the y direction.