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本文改变了传统的零位光栅优化设计方法,用亮域设计代替亮线设计,采用“积分型总极值”的最优化方法,进行了零位光栅结构的最优设计。优化设计变量是各条亮域沿横向坐标轴上的上、下限值,优化目标综合了光亮比、光通量主峰值及描述主峰徒峭程度的因子β。实例表明:采用文中介绍的数学模型和最优化方法不仅能得到各项指标均为良好的零位光栅结构,而且在满足一定的零位精度前提下,设计的亮条数目明显减少,使光栅结构有所简化。所采用的最优化方法在迭代过程中收敛速度也相当快。
In this paper, we change the traditional zero-raster optimization design method, replacing the bright-line design with the bright-area design, and using the “integral total extremum” optimization method, the optimal design of the zero-raster structure is carried out. The optimization design variable is the upper and lower limits along the horizontal axis of each bright field. The optimization goal combines the light ratio, the main peak of luminous flux, and the factor β, which describes the degree of extremity of the main peak. The example shows that the mathematic model and the optimization method introduced in this paper can not only get the good zero-point grating structure, but also reduce the number of bright-bands in the design under certain premise of zero precision. Some simplification. The optimization method used in the iteration process convergence speed is quite fast.