Optical diffraction of fractal figures: random Sierpinski carpets

Denise Berger , Stéphane Chamaly , Michel Perreau , Daniel Mercier , Pascal Monceau , Jean-Claude Serge Levy

The optical diffraction patterns of random Sierpinski carpets of different fractal dimensions at different levels of iteration are shown and analyzed. The sensitivity of such an analysis to long range correlations, is demonstrated theoretically by means of the transfer matrix formalism of fractals, T.M.F. The relation between the subdimensions defined in T.M.F. and diffraction patterns is outlined. Finally an analysis of experimental diffraction patterns is proposed in order to measure these new theoretical subdimensions.

Domaines: Articles anciens

Denise Berger, Stéphane Chamaly, Michel Perreau, Daniel Mercier, Pascal Monceau, et al.. Optical diffraction of fractal figures: random Sierpinski carpets. Journal de Physique I, 1991, 1 (10), pp.1433-1450. ⟨10.1051/jp1:1991217⟩. ⟨jpa-00246426⟩