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Formulation of the moire fringes formed by superimposing linear gratings with slowly varying parameters

机译：通过将线性光栅与缓慢变化的参数叠加而形成的莫尔条纹的公式化

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摘要

In this report we present formulation of moire fringes that are formed by superimposing two basically similar linear amplitude gratings but with slowly varying parameters. We show that the resulting fringes, in general, in the first approximation satisfy quadratic functions, and they represent phase contours in the neighborhood of the phase singularity associated with the superposition of two exactly similar linear gratings with parallel rulings. By fabricating linear gratings with slowly varying parameters and superimposing them on similar gratings with fixed parameters, it is verified that quadratic functions fit satisfactorily on the traces of the resulting moire fringes, and the deflections in the parameters are deduced from the fitting. Having in mind that changes in many physical quantities are convertible into the changes of grating parameters, the technique provides a useful means for accurate and reliable studies of many physical effects.
机译：在本报告中，我们介绍了莫尔条纹的形成方法，该莫尔条纹由两个基本相似的线性振幅光栅叠加而成，但参数变化缓慢。我们表明，所得的条纹通常在第一近似中满足二次函数，并且它们表示与两个完全相似的具有平行规则的线性光栅的叠加相关的相位奇异性附近的相位轮廓。通过制造具有缓慢变化的参数的线性光栅并将其叠加在具有固定参数的相似光栅上，可以证明二次函数令人满意地拟合到了产生的莫尔条纹的轨迹上，并且可以从拟合中推导出参数的偏差。考虑到许多物理量的变化都可以转换成光栅参数的变化，该技术为准确而可靠地研究许多物理效应提供了有用的手段。

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