The Fourier transform of linearly varying functions with polygonal support
The Fourier transform of linearly varying functions with polygonal support
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DOI：
10.1109/8.99058
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发表时间：
1991-09
影响因子：
5.7
通讯作者：
K. McInturff;P. Simon
中科院分区：
文献类型：
--
作者：
K. McInturff;P. Simon
具有多边形支持和线性幅度变化的函数的二维傅立叶变换的新公式是从常数函数的相应公式推导出来的。这些表达式对变换变量 k 的所有非零值都有效，优于先前报告的表达式，当 k 垂直或平行于多边形的任何边时，这些表达式会失败。这些变换在衍射理论和计算电磁学中具有应用。 >
New formulas for the two-dimensional Fourier transform of functions with polygonal support and linear amplitude variation are derived from the corresponding formula for a constant function. These expressions, valid for all nonzero values of the transform variable k, are superior to those previously reported, which fail when k is perpendicular or parallel to any edge of the polygon. These transforms have applications in diffraction theory and computational electromagnetics. >