按自相似原理构成的一种随机粒子模型及其应用
A MODEL OF RANDOM PARTICLES CONSTRUCTED BY THE PRINCIPLE OF SELF-SIMILARITY AND ITS APPLICATION
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摘要: 本文按分形几何的自相似原理构造出一种具有自相似分布结构的随机粒子模型,求得了其数密度相关函数孔子。这种模型有确定的构造方法,在结构上具有自相似性,并可按其结构特征求得其相关函数,因而便于应用于随机介质与波的相互作用的研究和计算机模拟。本文应用此模型分析了雷达回波功率与距离的关系。结果与Rastogi等人(1990)的数值模拟结果完全一致。Abstract: A model of random panicles constructed by the operation of self-similarity in fractal geometry is presented, and the correlation function of its number density is obtained. The model, which can be constructed with a definite method, has the characteristic of self-similarity in structure, and its correlation functions can be obtained accordingly. Therefore, it can be used conveniently in theoretical study and digital simulations of wave interaction in random media. As an example, this model has been applied to analyse the range dependence of volume scattering in radar echoes. The results agree well with Rastogi's (1990) simulation results.
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P. K. Rastogi, K. F. Scheucher, Radio Sci, 25(1990), 1057-1063.[2]李后强,程光钺,分形与分维,四川教育出版社,成都, 1990年.[3]R. E. Collin, Antennas and Radiowave Propagation, McGraw-Hill, New York, (1985), pp. 508-510.[4]R. J. Doviak, D. Zernic, Doppler Kadar arid Weather Observations, Academic Press, San Diego, Calif., (1984), pp. 458-460.[5]P. K. Rastogi, S. A. Bowhill, J. Asmos Terr. Phys., 88(1976), 449-462.[6]K. S. Gage et al., Radio Sci., 20(1955), 1493-1501.[7]A. Ishimaru, Wave Propagation and Scattering in Random Media, Academic Press, New York, (1978). -
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