I do not understand some things about the Skin Effect.
Its Wikipedia definition is:
Skin effect is the tendency of an alternating electric current (AC) to become distributed within a conductor such that the current density is largest near the surface of the conductor, and decreases with greater depths in the conductor. The electric current flows mainly at the "skin" of the conductor, between the outer surface and a level called the skin depth. The skin effect causes the effective resistance of the conductor to increase at higher frequencies where the skin depth is smaller, thus reducing the effective cross-section of the conductor.
Now I have two questions:
Can you explain me step by step the “vectorial” reason of the skin effect? If I look at this image and at the electric and magnetic field lines, I do not see the cause of the skin effect.
To quantify the skin effect we use the skin depth δ. But from basic electromagnetism courses I know that it is defined as the depth below the surface of the conductor at which an electromagnetic incident wave has been reduced by $1/e$, and it is $0$ for a perfect electric conductor, which acts as a perfect reflecting surface.
So, I do not understand why the skin depth defined in this way is related to the skin effect, according to the initial definition of the last one. Which is the bond between these two phenomena (the penetration of an incident EM wave in a real conductor, and the tendency of an AC current to flow near the surface of a conductor).