Entropic analysis of random morphologies

When the random morphology of ramified or percolating clusters exhibit local fluctuations, the framework of the theory of random percolation with its critical exponents and fractal dimension is still not enough to describe the disorder and the optical properties. We propose an alternative concept: the configuration entropy, that we compare to the multifractal analysis on computer simulated morphologies. At the percolation threshold, the entropy undergoes a maximum and its optimum length a minimum. In contrast with the multifractal analysis, the configuration entropy gives unambiguous results, relatively independent of the finite size of the image.