Question: There is a medium in the vacuum space with permetivity and permeability e and u respectively. Mediums also have a conductivity. Review the surface

There is a medium in the vacuum space with permetivity and permeability e and u respectively. Mediums also have a conductivity. Review the surface of the medium. There are electromagnetic waves with a frequency of w that enter perpendicular to the surface according to figure 3 right. Known Ho/4ew < 1. (a) Look for em wave equations through Maxwell's four equations on the medium! (Hint: Use Ohm's Law) (b) With the following ansatz. ik-F-iwt Exe Look for em field solutions with any electric field amplitude in the vacuum space! (c) Using the previous method, look for EM field solutions in the medium! (Hint: Use Ohm's law and pay attention to reflection) (d) Write down the terms of the boundary between the vacuum space and the medium! (Hint: Notice Maxwell's equations) (e) State the amplitude of reflection and transmission in amplitude comes El and the magnitude above! Egle E E L Interface Figure 3: (Left) The EM field propagates along the z axis. (Right) the EM field on the surface between the two mediums.
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