按自相似原理構(gòu)成的一種隨機(jī)粒子模型及其應(yīng)用
A MODEL OF RANDOM PARTICLES CONSTRUCTED BY THE PRINCIPLE OF SELF-SIMILARITY AND ITS APPLICATION
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摘要: 本文按分形幾何的自相似原理構(gòu)造出一種具有自相似分布結(jié)構(gòu)的隨機(jī)粒子模型,求得了其數(shù)密度相關(guān)函數(shù)孔子。這種模型有確定的構(gòu)造方法,在結(jié)構(gòu)上具有自相似性,并可按其結(jié)構(gòu)特征求得其相關(guān)函數(shù),因而便于應(yīng)用于隨機(jī)介質(zhì)與波的相互作用的研究和計算機(jī)模擬。本文應(yīng)用此模型分析了雷達(dá)回波功率與距離的關(guān)系。結(jié)果與Rastogi等人(1990)的數(shù)值模擬結(jié)果完全一致。
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關(guān)鍵詞:
- 電波傳播; 分形幾何; 自相似; 相關(guān)函數(shù)
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. -
P. K. Rastogi, K. F. Scheucher, Radio Sci, 25(1990), 1057-1063.[2]李后強,程光鉞,分形與分維,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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