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Siberian Journal of Physics

Young’s Experiment on Slits with an Angle Between Them

A. Bogomyagkov, Viktor Dorokhov, O. Meshkov, Aleksandr Polygalov, Alexey Shcheglov

Published Jun 1, 2014• 0 citations
Publisher

Abstract

Here are proposed a modified version of Young’s experiment on slits with an arbitrary angle between them. Also here performed mathematical analysis of the proposed scheme, showing that the intensity distribution can be approximated by a hyperbolic function. Experimental data confirm theoretical calculations. Analysis of the experimental results has conducted using two different methods of processing the digital data of the interference pattern. Theoretical calculations and experimental results established a nontrivial fact, that the interference patterns for slits with different, but symmetrical respect to 90° angles have the same intensity distribution. This experiment may be used as a standard laboratory work in University on optics workshop

DOI
10.54362/1818-7919-2014-9-2-173-179

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Here are proposed a modified version of Young’s experiment on slits with an arbitrary angle between them. Also here performed mathematical analysis of the proposed scheme, showing that the intensity distribution can be approximated by a hyperbolic function. Experimental data confirm theoretical calculations. Analysis of the experimental results has conducted using two different methods of processing the digital data of the interference pattern. Theoretical calculations and experimental results established a nontrivial fact, that the interference patterns for slits with different, but symmetrical respect to 90° angles have the same intensity distribution. This experiment may be used as a standard laboratory work in University on optics workshop
In this paper, we theoretically investigate a particular experimental setup which coalesces the concepts of the double slit and single slit diffraction. In Thomas Young's classic double slit experiment, monochromatic plane light wave impinges on an opaque screen with two parallel, long and narrow slits and the resulting intensity pattern is observed on a screen placed at a great distance placed from the slits. We show, via theoretical calculations that the if another opaque screen with a single long narrow slit is placed at a distance from the two slits, the resulting intensity pattern on the observation screen is nontrivial and interesting.
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Young’s double slit experiment is the mystery of the quantum mechanics (Feynman). To explore the mystery, the double slit experiments have been extended to cross double slit experiments. In this article, utilize the fact that each slit of the cross double slit (e.g., one double slit crossing another double slit) is divided into three segments by other two slits crossing, we experimentally show the function of each segment of each slit in producing both non-interference patterns (including Pre-Particle patterns, Particle patterns and Transition Patterns) and the Interference patterns by eliminate the segments respectively and then, compare with the standard patterns of the cross double slit experiment. Although the non-interference patterns of different modified cross double slits are obviously different, the final interference patterns are surprisingly similar. This phenomenon is a new mystery and needs a consistent theoretical interpretation. In the case of applying the interference patterns of the cross double slit diaphragms, this phenomenon allows a bigger tolerance on the defect of making the cross double slit diaphragm.
Considering double-slit interference as an optical wave passing a through double-slit hard aperture, the intensity expression of Young's double-slit interference is derived based on Collins diffraction integral. The intensity distribution of Young's double-slit interference is graphically demonstrated. The interference fringes will be changes by adjusting the parameter of slit width, double-slit separation, incident wavelength, etc. Meanwhile, the causes for the different brightness at bright fringe center in Young's double-slit interference are discussed. Additionally, the interference fringe width is calculated. The result agrees well with optical interference theory. As an expanding teach method, it will be helpful to understand the double-slit interference characteristics.
In the traditional analysis of Young interference it is supposed that the two slits radiate in the same way for any distance between them. In this work, the phenomenon of interference is studied within the framework of the classical electromagnetic theory and in a context that takes into account the mutual interactions between the slits. The results obtained are in agreement with recent experimental values showing how the total transmitted power is enhanced or reduced as a function of the distance between the two slits.
Young's double-slit experiment is a classic and fundamentaldemonstration in physics that strongly supports the wave nature of light throughthe phenomenon of interference. The study aims to deeply analyze the formationof diffraction and interference patterns of light that arise due to the pathdifferences between two coherent light sources. The experiment uses a simple yeteffective setup involving a monochromatic light source, two narrow slits placedclose together, and a screen placed at a certain distance to capture the resultinginterference pattern. Several variables are analyzed in the study, including thewavelength of the light used,the distance between two gaps and the distance fromone gap to anotherThe experimental results confirm the occurrence ofconstructive and destructive interference, resulting in the formation of stripesmoving from bright to dark in the layer. These stripes arise due to the phasedifference between overlapping light waves, and their spacing and clarity areaffected by the physical parameters of the setup. The analysis shows that thespacing between the stripes increases with longer wavelengths and decreases withwider slit spacing. In addition, the cohesion of the light source plays an importantrole in producing a clear and stable interference pattern. This experiment not onlyserves as a concrete verification of the theoretical wave principle in physics, butalso has broader implications in modern optical technologies such as diffractiongratings, holography, and quantum mechanics. This experiment is also relevantfor educational purposes because it provides an experiential learning opportunityfor students to understand the behavior of light and wave interactions. Therefore,this study is expected to be a useful reference in supporting the teaching andlearning of wave optics, especially in demonstrating the dual nature of light andits applications in real-world phenomena.