Abstract

Speckle image contrasts from a fractal rough-surface object are investigated in simulation, where the image surface is conjugate to the object surface. It is observed that the Hurst exponent H of fractal roughness affects speckle contrast and statistics dramatically. For example, a strong rough surface $({\sigma }_h>\lambda )$ exhibits Rayleigh statistics over increasing ranges of point spread function widths as H decreases. Conceptual explanations are also presented for effects of H and the coherence factor on speckle in imaging systems.

© 2009 Optical Society of America

Estimation of statistical properties of rough surface profiles from the Hurst exponent of speckle patterns

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