Reflection on a metal
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A detailed solution is then proposed to you.
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A MPPW is normally sent to a perfectly conductor plane, located in the half-space . The space being vacuum.
The polarization of this wave is circular and the associated electric field can be written in real notation :
Determining the resultant wave structure in vacuum (for ).
The total electric field must be zero at the surface (for ), therefore the reflected electric field is :
The structure of the total electric field above metal is :
A standing wave is obtained.
The magnetic field is obtained with Maxwell-Faraday equation :
We can calculate Poynting vector and verify that its average value is zero : a standing wave does not transport energy.