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宽角抛物方程的格林函数及其应用 被引量:9

Green Function of Wide-Angle Parabolic Equation and Its Application
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摘要 基于分部傅立叶变换法,建立了宽角抛物方程在二维无界空间的格林函数.提出了计算宽角抛物方程初始场的格林函数法.在此基础上,用宽角抛物方程法计算了高斯电流源辐射在海平面上传播衰减情况,并与几何光学双射线模型以及格林函数本身的计算结果作了比较,验证了此格林函数的正确性,从而为建立求解抛物方程的新方法———辅助位函数法奠定了基础. The Green function of wide-angle parabolic equation (WAPE) in boundless plane is constructed based on the split-step Fourier transform (SSFF) algorithm. A method for calculating the initial fields of WAPE by using the Green function is presented. Based on this method, wave propagation on sea surface by a Gaussian current source is calculated by using the WAPE. Results comparison between the WAPE, the two ray model of geometrical optics (GO) and the Green function itself testifies the correctness of the Green function. Accordingly, the groundwork of a new approach so-called assistant potential function method for calculating the PE is established.
出处 《电子学报》 EI CAS CSCD 北大核心 2006年第3期517-520,共4页 Acta Electronica Sinica
关键词 分部傅立叶变换 宽角抛物方程 格林函数 初始场 SSFT WAPE Green function initial fields
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