Digital Image Analysis Of Single Rectangular Slit Fraunhofer Diffraction Patterns

Y. Yogaswara, F. Latief
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Abstract

Study of the single rectangular slit Fraunhofer diffraction pattern has been carried out through experiments. Data acquisition was done by manually measuring the distance of the bright and dark diffraction patterns using millimeter block paper and by means of digital images analysis of the diffraction patterns. The digital images were used to obtain the bright and dark intensity data of the pattern as the function of the distance from the center of the pattern. The process of obtaining the data was carried out as follows: image acquisition, image digitization, image quality enhancement, graphics plotting and chart normalization. The data processing is done analytically and computationally using ImageJ software. The results of the digital image analysis of diffraction patterns produce an intensity graph of the distance of the diffraction pattern (I-y chart). The results from the digital image analysis approach provide an alternative method that is more accurate in the process of calculating the physical magnitude of diffraction parameters such as the wavelength of the source. One of the advantages of this method is that intensity of the diffraction pattern can be visualized as a function of the distance from the center of the screen. Although accuracy of the calculation result is not very high, the magnitude of the intensity can be observed to decrease with increasing distance of the diffraction pattern to the center of the screen. The results of the calculation of the source wavelength by means of digital image analysis provides good results compared to the manual method using the millimeter block paper. The smallest mean error of the wavelength by means of digital image analysis is 1,72% and the manual method using the millimeter block paper is 3,84%. This method of measurement using digital image analysis can be used as an alternative for various position or distance-based measurement, such as the calculation of linear expansion coefficient with a single slit diffraction method.
单矩形狭缝夫琅和费衍射图样的数字图像分析
通过实验对单矩形狭缝夫琅和费衍射图样进行了研究。数据采集采用毫米方框纸手工测量明暗衍射图样的距离,并对衍射图样进行数字图像分析。利用数字图像获得图案的明暗强度数据,并将其作为距离图案中心距离的函数。数据的获取过程包括:图像采集、图像数字化、图像质量增强、图形绘制和图表归一化。使用ImageJ软件对数据进行分析和计算处理。衍射图样的数字图象分析结果产生衍射图样距离的强度图(I-y图)。数字图像分析方法的结果提供了一种在计算衍射参数(如光源波长)的物理大小的过程中更准确的替代方法。这种方法的优点之一是,衍射图案的强度可以可视化为距离屏幕中心的函数。虽然计算结果的精度不是很高,但可以观察到随着衍射图案距离屏幕中心的增加,强度的大小会减小。通过数字图像分析计算光源波长的结果,与使用毫米方框纸的手工方法相比,取得了较好的结果。用数字图像分析方法测得的波长最小平均误差为1.72%,用毫米块纸手工测得的波长最小平均误差为3.84%。这种使用数字图像分析的测量方法可以作为各种基于位置或距离的测量的替代方法,例如用单缝衍射方法计算线性膨胀系数。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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