Defining Plane of Incidence for Normal Polarized Wave

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The plane of incidence for a normally polarized wave is defined by the wave vector, which is perpendicular to the plane wave, and a point of incidence on the material surface. This creates a second vector, normal to the surface, which together with the wave vector establishes the plane of incidence. The reflection coefficient can involve ordinary, extraordinary, or a combination of both waves, depending on the context. However, when the wave vector is normal to the surface, a unique plane of incidence cannot be defined. Understanding these concepts is crucial for analyzing wave behavior at material interfaces.
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How to define the plane of incidence for normal incidence of a plane polarized wave?
Is the reflection coefficient defined by ordinary, extraordinary, or the combination of both waves?

Thanks for the help!
 
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The usual method is to define one line with the wave vector (normal to the plane wave), which is then fixed by a point of incidence at the material surface. The vector normal to the surface at that point gives you a second vector ... these then define the plane of incidence. The k-vector for the reflected wave will be in this plane.

If the wave vector is normal to the surface there is no unique plane of incidence.
 
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