Analysis of Talbot Array Illuminator by A Multiple Phase Grating and A Fractional Fourier Transformation under Spherical Wave Illumination
In this paper we analyse in case of sphere ligfhtwave illumination how to use a multiple phase grating and an optical fractional Fourier transformation to fulfil Talbot array illumination. The characteristic of array illumination is its parallel processing. Our calculation depends on the scalar theory of Fresnel diffraction and the optical fractional Fourier transformation. We first transform the diffraction of a multiple phase grating and an optical fractional Fourier transformation under sphere lightwave illumination into that of a single effective multiple phase grating under a parallel lightwave illumination. Then we put forwards the illumination condition of the whole optical system under a sphere lightwave illumination. We find that the array illumination relates to the structure of the multiple phase grating, the diffraction distance and the order of the fractional Fourier transformation and the distance of sphere lightwave field. Compared with the Talbot array illuminator which uses a single multiple phase grating, in our method the distance of illumination can be longer because a lens in fractional transformation has a convergent effect. The distance of illumination is also connected with the distance of sphere lightwave field. This will add the convenience of the adjustment of the distance of illumination. Our analysis will be helpful to the application of Talbot array illumination.
Multiple phase grating Talbot array illumination Sphere lightwave Optical fractional Fourier transformation
Wang Huaisheng
Dept. of mathematics and physics Shanghai University of electric power Shanghai, 200090, China
国际会议
2010 Second Asia-Pacific Conference on Information Processing(2010年第二届亚太地区信息处理国际会议 APCIP 2010)
南昌
英文
634-635
2010-09-17（万方平台首次上网日期，不代表论文的发表时间）