In this work, a generalized and accurate calculation model of the multi-pass cell is proposed. This novel calculation model without any errors can describe the ray’s propagation、reflection and refraction in the multi-pass cell, which will be suitable for kinds of multi-pass cells, such as the plane mirror multi-pass cell, ring multi-pass cell and the traditional multi-pass cell consisted by different optical elements including spherical mirror, lens or cylindrical mirror. By the numerical calculation, it is found that the non-paraxial ray can create a set of intricate spot patterns with respect to a standard Herriot circle spot pattern from the traditional ABCD matrix. The detailed numerical calculations of the different multi-pass cells are carried out, thus the improvement of the utilization efficiency of the mirror surface and production of a longer total optical path length by non-paraxial ray in a compact volume can be verified.

在这项工作中，提出了一种通用且准确的多通小区计算模型。这种新颖无误的计算模型可以描述射线在多通道像元中的传播，反射和折射，适用于各种多通道像元，例如平面镜多通道像元，环形多通道像元传统的多通盒由不同的光学元件组成，包括球面镜，透镜或柱面镜。通过数值计算发现，相对于传统ABCD矩阵中的标准Herriot圆斑图案，非傍轴射线可以创建一组复杂的斑图案。进行了不同的多次通过单元的详细数值计算，