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  本文選題：分形粗糙面　切入點：Weierstrass-Mandelbrot函數(shù)　出處：《物理學報》2016年07期

【摘要】：研究了分形粗糙面的成像問題.分形粗糙面能夠較好的逼近真實環(huán)境,采用帶限形式的WeierstrassMandelbrot函數(shù)建立了分形粗糙面幾何模型,對分形粗糙面參數(shù)的選取進行了討論.對大尺度粗糙面散射問題提出了一種基于大面元的Kirchhoff近似方法,采用面元模型來計算粗糙面總的后向散射場以及每一個面元的后向散射場,并對面元的尺寸選取進行了研究,通過與解析解進行對比證明了該方法的正確性.在分形理論建立的確定性粗糙面幾何模型與面元的Kirchhoff方法獲取的散射場的基礎上,采用正側視條帶式成像模式,并選用距離多普勒算法對不同分形參數(shù)的粗糙面進行合成孔徑雷達(SAR)成像模擬,結果顯示從SAR像中可以清晰地觀察到不同分形參數(shù)對粗糙面幾何輪廓的影響.該研究包括了從環(huán)境模型、電磁模型到SAR成像技術在內(nèi)的完整的分形環(huán)境SAR像模擬過程,仿真結果顯示出分形環(huán)境的SAR像特點,這對基于分形理論的自然環(huán)境的遙感探測以及參數(shù)反演具有一定的理論支撐作用.
[Abstract]:The imaging problem of fractal rough surface is studied. The fractal rough surface can approach the real environment well, and the geometric model of fractal rough surface is established by using the WeierstrassMandelbrot function in the form of band limit. The selection of parameters of fractal rough surface is discussed, and a Kirchhoff approximation method based on large scale rough surface scattering is proposed. The total backward scattering field of rough surface and the backward scattering field of each surface are calculated by using the surface element model, and the size selection of the opposite element is studied. The correctness of the method is proved by comparing with the analytical solution. On the basis of the deterministic rough surface geometric model established by fractal theory and the scattering field obtained by the Kirchhoff method of the plane, the orthotropic strip imaging mode is adopted. The synthetic Aperture Radar (SAR) imaging of rough surfaces with different fractal parameters is simulated using range Doppler algorithm. The results show that the effects of different fractal parameters on the geometric profile of rough surface can be clearly observed from the SAR image. This study includes the complete simulation process of the fractal environment SAR image from the environmental model, the electromagnetic model to the SAR imaging technology. The simulation results show that the SAR image of fractal environment has some theoretical support for remote sensing detection and parameter inversion of natural environment based on fractal theory.
【作者單位】： 空軍工程大學防空反導學院;
【基金】：國家自然科學基金(批準號:61372033)資助的課題~~
【分類號】：TN957.52

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