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基于分析和设计复合缝阵列天线的需要，采用全域正弦基Ｇａｌｅｒｋｉｎ法，对矩形波导宽边复合辐射单缝的谐振特性和散射特性进行了分析。通过引入等效平行四边形概念和格林函数的谱域表达式，大大简化了问题的复杂程度，显著提高了运算速度（在Ｐｅｎｔｉｕｍ－９０ＭＨｚ微机上分析一个复合单缝，截取５个缝隙口面电场模式，仅需约５ｓ）。计算结果表明，随着缝的倾角和横向偏置的增大，在谐振时其口面基模电场幅度和相位的变化趋于平缓；而在横向偏置相同的条件下，倾角越大，基模电场的相位随频率的变化越平缓，幅度则正好相反。与已发表的文献相比较，所得数值结果更接近于实验数据。
Based on the analysis and design of the composite slot array antenna, the global sinusoidal Galerkin method is used to analyze the resonance and scattering characteristics of the rectangular waveguide wide-brim composite radiation single-slit. By introducing the concept of equivalent parallelogram and Greenland function, the complexity of the problem is greatly simplified and the computational speed is greatly improved (one composite single slit is analyzed on a Pentium-90MHz microcomputer, and five slit electric field modes are intercepted , Only about 5s). The calculated results show that the amplitude and phase change of the electric field of the oral fundamental mode tends to be gentle with the increase of the dip and lateral bias of the slot. In the same condition of lateral offset, The phase of the mode electric field changes more slowly with the frequency, and the amplitude is the opposite. Compared with the published literature, the numerical results obtained are closer to the experimental data.