Cohn R W, Liang M
Appl Opt. 1994 Jul 10;33(20):4406-15. doi: 10.1364/AO.33.004406.
Any desired diffraction pattern can be produced in the Fourier plane by the specification of a corresponding input-plane transparency. Complex-valued transmittance is generally required, but in practice phase-only transmittance is used. Many design procedures use numerically intensive, constrained optimization. We instead introduce a noniterative procedure that directly translates the desired but unavailable complex transparency into an appropriate phase transparency. At each pixel the value of phase is pseudorandomly selected from a random distribution whose standard deviation is specified by the desired amplitude. We also derive statistical expressions and use them to evaluate the approximation errors between the desired and achieved diffraction patterns.
通过指定相应的输入平面透明度，可以在傅里叶平面中产生任何所需的衍射图案。通常需要复值透射率，但在实际中使用的是仅相位透射率。许多设计程序使用数值密集型的约束优化。相反，我们引入了一种非迭代程序，该程序直接将所需但不可用的复透明度转换为适当的相位透明度。在每个像素处，相位值从随机分布中伪随机选择，该随机分布的标准偏差由所需幅度指定。我们还推导了统计表达式，并使用它们来评估所需衍射图案和实现的衍射图案之间的近似误差。
