中文摘要：

基于台阶型微闪耀光栅衍射效率高、特征尺度小、集成度高和加工容易等特点,提出了利用台阶型微闪耀光栅面阵实现二维全混洗变换的方法。讨论了一维和二维全混洗的变换规则和数学定义;通过对刻蚀过程中各单元光栅的刻槽取向和周期的控制,使信号光满足所需要方向的闪耀输出,制作出一维和二维的微闪耀光栅面阵,在自由空间分别实现信号光的一维和二维全混洗变换。最后,比较与讨论了微闪耀光栅实现全混洗变换的方法。理论分析和实验结果均表明：该方法与传统的通过信号光矩阵的分割成像、放大、重组、叠加操作不同,它利用单一器件的衍射特性来控制信号光的取向和光强的分布,从而实现二维全混洗变换。因此,该方法具有光能量利用率高、控制简便、易操作和易集成的特点,充分体现了二维全混洗变换在光通信和光信息处理中具有的高空间带宽积和多自由度的特点。

英文摘要：

Based on some interesting properties of a micro-blazed grating planar-array such as high diffraction efficiency, small size, high degree of integration and easy to fabricate, a 2D Perfect Shuffle （PS） transform method was proposed. The mathematic principles and the mapping rule of 1D and 2D PS transform were defined, respectively. Then, 1D and 2D PS transforms were realized in free space using micro-blazed grating arrays by controling and modulating the gratings etching direction and period to direct the signal beams to reach to the desired position. Finally, compared with the conventional method （depend on the operation of dividing, magnification, interlacing and superimposing）, this method mainly relying on the diffractive properties of signal beams and the distribution of light intensity presents a single diffractive element to perform 1D and 2D PS transform. The theoretical analysis and experimental results show this method has the advantages of more higher energy efficiency, high feasibility, compact structure, easy to integrate etc. , which should be helpful in a optical interconnection network, especially, in a perfect shuffle omega network.