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Light transmission in inhomogeneous photonic media is strongly influenced bythe distribution of the diffractive elements in the medium. Here it is showntheoretically that, in a pillar photonic crystal structure, light transmissionand homogeneity of the pillar distribution are correlated by a simple linearlaw once the grade of homogeneity of the photonic structure is measured by theShannon index, widely employed in statistics, ecology and information entropy.The statistical analysis shows that the transmission of light in such mediadepends linearly from their homogeneity: the more is homogeneous the structure,the more is the light transmitted. With the found linear relationship it ispossible to predict the transmission of light in random photonic structures.The result can be useful for the study of electron transport in solids, sincethe similarity with light in photonic media, but also for the engineering ofscattering layers for the entrapping of light to be coupled with photovoltaicdevices.

Transmission of Light in Crystals with different homogeneity: Using Shannon Index in Photonic Media