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本文概括介绍单边Z变换理论讨论辐射元为等间距排列、激励相位呈线性变化的阵列方向图问题,对于阵列函数S(z)=F(z)-G(z)进行了简化处理,即利用G(z)=z~(-n)Y[f(ζ+nd)]公式,把求S(z)的过程全部归结为单边Z变换问题,大大简化阵列函数的求得。方法简便易懂,物理涵义明确。文中还分别以正弦律和三角形幅度激励的X波段波导缝隙阵为实例,进行了计算和实验对比,验证了结果的实用性。
In this paper, we briefly introduce the unilateral Z-transform theory to discuss the array pattern with the radiation elements being equidistantly arranged and the excitation phase changing linearly. The simplified array function S (z) = F (z) -G (z) Using the formula of G (z) = z ~ (-n) Y [f (ζ + nd)], the process of finding S (z) can be reduced to the problem of unilateral Z transform, which greatly simplifies the calculation of the array function. The method is simple and easy to understand, the physical meaning is clear. In this paper, we also take the X-band waveguides and slot arrays excited by the sine and the triangular amplitude as an example, and compare the calculated and experimental results to verify the practicability of the results.