The skin depth 
of a substance is the distance to which incident electromagnetic radiation penetrates. In cgs,
where H is the magnetic field in matter, B is the magnetic field,
is the permeability,c is the speed of light,J is the volume current,D is the electric field in matter,
is the electrical conductivity,and 
is the electric field.
For a conductor,
, so
This is a diffusion equation. Write
where is the angular frequency. Then
So the skin depth is given by
A transverse electromagnetic wave therefore satisfies
of a substance is the distance to which incident electromagnetic radiation penetrates. In cgs,(1)
where H is the magnetic field in matter, B is the magnetic field,
is the permeability,c is the speed of light,J is the volume current,D is the electric field in matter, is the electrical conductivity,and is the electric field.For a conductor,
, so(2)
(3)
(4)
This is a diffusion equation. Write
(5)
where is the angular frequency. Then
(6)
(7)
(8)
So the skin depth
is given by (9)
A transverse electromagnetic wave therefore satisfies
(10)
(11)
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