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对分数相关级次对输出面能量分布的影响进行了理论分析 ,并通过对 Zalevsky等所提出的实时结构的考察 ,讨论了分数傅里叶变换 (fractional Fourier transform ,FRT)分立光学元件实现特点 .按照分数相关优化原则 ,提出了一种实用化的光电混合 FRT结构 ,并通过数值方法对此系统特性进行了研究 ,结果表明 :与传统相关比较 ,FRT提高了相关器的模式识别性能 .
The influence of fractional correlation level on the energy distribution of the output surface is analyzed theoretically and the realization of the fractional Fourier transform (FRT) discrete optical element is discussed through the investigation of the real-time structure proposed by Zalevsky et al. According to the principle of fractional correlation optimization, a practical hybrid optoelectronic FRT structure is proposed, and the characteristics of the system are studied numerically. The results show that compared with the traditional correlation, the FRT improves the pattern recognition performance of the correlator.