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 grating's 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.