1. The electric field of a plane electromagnetic wave propagating in free space is described by

Determine the corresponding magnetic field and the time average Poynting vector for the wave.

1. The electric field of a plane electromagnetic wave propagating in free space is described by

Determine the corresponding magnetic field and the time average Poynting vector for the wave.

2. Show that an s –polarized wave cannot be totally transmitted to another medium.

3. An electromagnetic wave given by

is incident on the surface of a perfect conductor and is totally reflected. The incident and the reflected waves combine and form a pattern. What is the average Poynting vector?