本文给出了一种直接求解夫琅禾费单缝衍射各级明纹中心相对光强的近似方法，并进行了深入的误差分析. 将半波带法和振幅矢量法相结合，简洁直观地得到了各级明纹中心相对光强. 通过振幅矢量图形的对比，分析了误差原因，通过公式推导和定量计算得出了各级明纹中心精确位置的限制条件. 对误差的变化进行了分析，发现本方法相对误差最大值小于5 %，且级数大于或等于3时，相对误差均小于1%.

An approximation method for directly solving the relative light intensity of centers of bright stripes in Fraunhofer single slit diffraction is presented，and an in-depth error analysis is conducted. By combining half-wave zone method and amplitude vector method，the central light intensity of bright stripes can be calculated simply and directly. By comparing different amplitude vector graphics，the error cause is analyzed. The accurate positions of bright center are obtained through quantitative analysis. It is found that the maximum relative error of this method is less than 5 %，and when the fringe order is greater than or equal to 3，the relative error is less than 1%.