Fractal analysis of the signal scattered from the sea surface

Abstract

This paper deals with the problem of the electromagnetic scattering from a sea fractal surface. The paper demonstrates that the sea-scattered signal retains some fractal characteristic of the sea surface. In detail, we analyze the signal scattered from a sea surface modeled by the one-dimensional (1-D) sea-surface fractal profile proposed by Berizzi, Mese, Pinelli and Andreoli (see Inst. Electr. Eng. Proc. Radar Sonar, Navigat., vol.146, p.55-66, 1999). The results show the graphs of the in-phase and quadrature components of the received signal are fractal curves with box-counting fractal dimension equal to the one of the sea profile. These results are validated by presenting and discussing some numerical examples.