Optical Diffraction from Fractals with a Structural Transition

Abstract

A macroscopic characterization of fractals showing up a structural transition from dense to multibranched growth is made using optical diffraction theory. Such fractals are generated via the numerical solution of the 2D Poisson and Biharmonic equations and are compared to more 'regular'irreversible clusters such as diffusion limited and Laplacian aggregates. The optical diffraction method enables to identify a decrease of the fractal dimension above the structural point.Comment: LaTex file; 6 figures upon request to [email protected]**. IC/94/7