分析光栅分数塔尔博特效应的一组新方程

New Equations for Analysing the Fractional Talbot Effect

对一维开口比为 1/M(这里 M为大于 1的正整数 )的矩形光栅 ,建立了一组新的在分数塔尔博特 (Talbot)距离上计算其菲涅耳衍射光场分布的简单方程。在该方程中考虑了光栅结构与分数塔尔博特距离的联系 ,显然比迭代方程和基于距离的方程更方便地描述分数塔尔博特效应。给出了一种研究光栅分数塔尔博特效应的新途径。

A new set of simple equations for analyzing the Fresnel diffraction field distribution of an one- dimensional rectangular grating with the opening ratio 1/M (where M is a positive integer) is derived.In the equations the connection of the structure of a grating with the fractional Talbot distance is considered.They are more convenient to describe the fractional Talbot effect than that of the distance- oriented equations and the step- by- step equation.A new way to study the fractional Talboteffectof a grating is presented.