利用广义函数给出了一种精确积分方法，可以得到有关矩阵的显式表达，得到提高了求解精度和效率。

By using generalized function, an accurate integration method is developed to get the explicit formulation of the matrixes involved. This can improve the accuracy and efficiency of the method.

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从光线矩阵元表达的衍射积分出发，导出了复杂光学系统的光学传递函数。

Starting from the diffraction integration in terms of ray matrix elements, the optical transfer functions have been derived for complicated optical system.

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计算积分的方法、复数方法、无线级数、奇殊函数、微分方程、向量及矩阵、群论。

Methods in evaluating integrals, some complex variable methods, infinite series, special function, ordinary differential equations, vector and materials, groups and group representations.

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