The polarization angular correlation function for detection of object buried in forest above rough surface

Significant effort has been devoted toward the development of scattering models for forest canopies. However little theoretical modeling has previously been done to analyze coupling scattering between the deterministic object and its forest surroundings. With the introduction of fractal geometry, a new tool for modeling the forest has become available such as L-system. The correlation of scattering by different branches included using their relative positions as given by the growth procedure. The memory effect of wave scattering from random media was discovered by Feng. The angular correlation function (ACF) has been used to detection buried target under a rough surface. In the present paper, forest canopies are modeled as fractal trees generated using stochastic L-system. The scattering matrix of finite length multi-layer dielectric cylinder modeling the trunks and sphere are calculated using the iterative algorithm and spherical vector wave function, respectively. The second order analysis which takes into account the scattering from adjacent two trunks and sphere-trunks pairs above rough surface is calculated by using the reciprocity theorem. Based on Foldy´s approximation, the effect of attenuation and phase change of the coherent wave propagating in the discrete random medium is considered. The polarization angular correlation function (PACF) by using azimuthal averaging correlation is discussed at L-band, C-band, X-band for detection of a target buried in fractal trees