For the derivation of the Maxwell Garnett equation we start with an array of polarizable particles. By using the Lorentz local field concept, we obtain the Clausius-Mossotti relation : ε ε − − 1 ε ε + 2 = 4 π π 3 ∑ ∑ j N j α α j Where N j is the number of particles per unit volume. By using elementary electrostatics, we get for a spherical inclusion with dielectric constant ε ε i and a radius a a polarisability α α : α α = ( ε ε i − − 1 ε ε i + 2 ) a 3 If we combine α α with the Clausius Mosotti equation, we get: ( ε ε e f f − − 1 ε ε e f f + 2 ) = δ δ i ( ε ε i − − 1 ε ε i + 2 ) Where ε ε e f f is the effective dielectric constant of the medium, ε ε i of the inclusions; δ δ i is the volume fraction of the inclusions. As the model of Maxwell Garnett is a composition of a matrix medium with inclusions we enhance the equation: