分数傅立叶变换计算全息图的算法研究

Method study on fractional fourier computer-generated holograms

传统的计算机产生全息图方法由于在标量衍射的光场描述中没有一个统一的数值计算方法,从而计算复杂度高而且重构的3D图像的体积和视场都比较小,离市场化的要求距离远。因此,在目前的计算机硬件条件下,算法和显示系统的研究仍有很大的空间。将分数傅里叶变换引入到全息图的计算中,提出一种分数傅立叶变换产生计算全息图的方法。实验结果表明,分数傅里叶变换相对于传统的傅里叶变换在记录全息数据方面的优越性,并用计算机模拟效果表明了算法的优越性。

Typical algorithm and display system cannot generate image to meet the requirement of the market. Then new algorithm and display system still has a large space. Making use of fi＇actional Fourier transform as center tool to get new computing methods of holograms. At same time, the experimental show that the fractional Fourier transform is better than Fourier transform in holography datum recording and the computer simulation holographic generation and digital reconstruction are realized.