5. (27%) A uniform plane wave in a nonmagnetic simple medium 1
is incident upon a nonmagnetic simple medium 2
of half-space as shown in Fig. 1, where
denote the free-space permeability and the absolute permittivity, respectively. According to the experimental data there is no reflection at some incident angle. Assume a time dependence of
, answer the following questions:
(d) (9%) Assume the direction of the H field does not change upon retlection and transmission at the interface and the magnetic field amplitudes of the reflected and transmitted waves are denoted by
and
, respectively. Obtain the relation that the tangential components of the electric fields in media 1 and 2 must satisfy at x= 0.