Dielectric tensor of a superlattice

3 Dielectric tensor of superlattices with anisotropic layers 8.3.1 Dielectric tensor of a superlattice 

Formulas (8.4) and (8.6) can be generalized to the case of an anisotropic dielectric constant in the layers (5). 

Let us assume that the dielectric properties of the layers are determined by tensors (w), p is the layer number, p = 1,2. a, a being the number of the layers in a unit cell the lattice period is L = and tp is the thickness of 

Then substitution of this equation into the first two equations (8.37) gives 

Equations (8.38) and (8.39) provide a starting point for the averaging procedure similar to one used above. With an accuracy of order L/X c 1 the fields E 1 and DM inside the layers can be considered as constant and due to the continuity of El E%, Dg we have for average fields E 2 and )  

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