基于矢量瑞利索末菲衍射积分，建立了非傍轴条件下四瓣高斯光束经过偏心圆孔光阑在自由空间传输的矢量场模型。选取倾斜光轴作为参考光轴，借助于硬边圆孔的复高斯级数分解，得到了近场模型下衍射场分布的矢量解析式。通过数值计算和模拟，详细讨论了f参数、光束阶次、衍射孔位置和截断参数对像场分布的影响，包括衍射场主瓣强度的位置和光束宽度。这些结论有助于更好地理解四瓣高斯光束在离轴非对称光学系统中的传输特性。

Based on the vectorial Rayleigh-Sommerfeld diffraction integrals, the model for four-petal Gaussian beams propagating through an eccentric circular aperture is built. By choosing oblique optical axis as the reference optical axis and expanding the hard-edged circular aperture function as a finite sum of complex Gaussian functions, an analytical solution is performed. Furthermore, the detailed numerical calculation for the two-dimensional beams is presented. The simulation also shows that f parameters, beam order, location of aperture and truncation parameter affect the diffracted field, including location of center intensity and beam width. All these characteristics help us understand four-petal Gaussian beams propagation better.