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## Main Question or Discussion Point

I understand application of Snell's law for transition from one medium to another but I have a question regarding this model. When an electromagnetic wave transitions from air into a conductive medium does the wavelength change instantaneously as the theory seems to imply or is there a boundary layer which is ignored because at usual wavelengths the boundary transition is so small it doesn't matter?

The case I am interested in is a low frequency wave which has a wavelength of 3000 km into a medium that reduces the wavelength to 158 m. So is there a transition region? If so, can someone point me to a resource that discusses the behavior in the boundary layer as the wavelength changes.

The case I am interested in is a low frequency wave which has a wavelength of 3000 km into a medium that reduces the wavelength to 158 m. So is there a transition region? If so, can someone point me to a resource that discusses the behavior in the boundary layer as the wavelength changes.