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本文计算单一材料的消色差N-棱镜光束扩展器的最优棱镜结构,讨论调节高倍率M≥[2-1/(2~(N-1)-1)]~N。一般说“上-上……-下”的结构是最优的,其对给定的放大率能最大限度地增大透过率;同时推导出用任意材料制作的最优非消色差N-棱镜光束扩展器的入射角和顶角的精确表达式。对于要求结构紧凑、消色差和温度稳定的应用,建议采用简单的3-棱镜(上-上-下)和4-棱镜(上-上-上-下)单-材料色差光束扩展器。
In this paper, we calculate the optimal prism structure of a single material achromatic N-prism beam expander and discuss how to adjust the high magnification M≥ [2-1 / (2 ~ (N-1) -1)] ~ N. In general, the structure of “up-up ... down” is optimal, which maximizes the transmittance for a given magnification; at the same time, derives the optimal non-achromatic N- Prism beam expander angle of incidence and vertex accurate expression. For applications requiring compactness, achromaticity and temperature stability, the simple 3-prisms (up-up-down) and 4-prisms (up-up-up- down) single-material chromatic aberrant beam expander are recommended.