TEXTURE ANALYSIS OF SPECKLES DUE TO RANDOM KOCH FRACTALS BY LACUNARITY

We analyzed the textures of speckles produced from random Koch fractals to quantitatively confirm the existence of speckle clustering which we investigated in a previous paper. The texture analysis involved using the lacunarity of these speckles, which is defined as fluctuations of the intensity integrated within a box, and comparing this quantity with that for ordinary fully-developed speckles. The lacunarity of clustered speckles was found to be greater than that of ordinary speckles throughout the whole range of the size of the box under examination, indicating the existence of long correlation tails in speckles. We also discuss the physical origin of these long correlation tails.