光学学报, 2004, 24 (5): 692, 网络出版: 2006-06-12
部分相干光照明下光栅的塔尔博特效应
Fresnel Diffraction of the Grating Illuminated by Partially Coherent Light
物理光学 菲涅耳衍射 互强度 塔尔博特效应 光栅自成像 physical optics Fresnel diffraction mutual intensity Talbot effect the self-imaging of the grating
摘要
首先利用部分相干光理论详细地分析了在部分相干光照明下光栅的菲涅耳衍射,给出了观察面上衍射光强分布的一般公式,并就光源的发光面积对光栅塔尔博特效应的影响进行了讨论,得到了光栅衍射光强的分布随着照明光源的发光尺寸的增加而逐渐变得平滑这一结论,并且,当光源发光尺寸增加到毫米量级时,光栅的塔尔博特效应将完全消失。在实验上对不同发光尺寸的扩展非相干光源照明光栅时的菲涅耳衍射光强进行了测量,实验结果与理论分析得出的结论相符合。
Abstract
The Fresnel diffraction of the grating illuminated by partially coherent light is analyzed based on the propagation of the mutual intensity in theory of partially coherent light. The general formulas of the intensity in the Fresnel diffraction field are obtained. Then the characteristics of the field diffracted by the grating is discussed in detail. Experimentally, the diffraction intensity of the grating illuminated by the light source (LED) with different illuminant area is measured in the Fresnel region respectively. Thus the basic characteristics and general rules of the grating diffraction are proved, for instance, the smoothness process of the source on to the diffraction intensity, namely, Talbot imaging, and the condition of gaining exact Talbot imaging. The experiment results conform to the theoretic ones very well
滕树云, 刘立人, 刘德安, 祖继锋, 栾竹. 部分相干光照明下光栅的塔尔博特效应[J]. 光学学报, 2004, 24(5): 692. 滕树云, 刘立人, 刘德安, 祖继锋, 栾竹. Fresnel Diffraction of the Grating Illuminated by Partially Coherent Light[J]. Acta Optica Sinica, 2004, 24(5): 692.