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Journal of Guizhou University

Discussion on fringes shift of Young’s double-slit experiment and computer simulation

Jia Hui-kai

Published Jan 1, 2004• 0 citations
OpenAlex

Abstract

This paper gives an analysis equation of light relative intensity distribution of Young’s double-slit arrangement in which one slit was covered by transparent film.The light relative intensity distribution curves are drawn by C language compiler. The conditions of getting fringes shift are simulated.

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American Journal of Optics and Photonics•Jan 1, 2019•15 citations
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.
Employing with MatLab, the relative light density distribution of Thomas Young dual-slit interference experiment is presented. This paper analyzes the light density distribution of Thomas Young dual-slit interference under different wavelengths and slit widths, and explains the causes for the different light density distribution in Thomas Young dual-slit interference. It reaches that slit widths are the factors for the uneven intensity distribution of Thomas Young dual-slit interference experiment, and the fringe width is inversely proportional to slit widths. Various parameters impacting on the interference is visually analyzed by means of computer simulation. It has an important guiding role on the optical theoretical study and experimental teaching.
Abstract The double slit experiment was the first demonstrative proof of the wave nature of light. It was expounded by the English physician-physicist Thomas Young in 1801 and it soon helped lay to rest the then raging Newton–Huygens debate on whether light consisted of a fast-moving stream of particles or a train of progressive waves in the ether medium. In the experiment, light is made to pass through two very narrow slits spaced closely apart. A screen placed on the other side captures a pattern of alternating bright and dark bands called fringes which are formed as a result of the phenomenon of interference. In prior work by the same author, it was shown that the conventional analysis of Young’s experiment that is used in many introductory physics textbooks, suffers from a number of limitations in regards to its ability to accurately predict the positions of these fringes on the distant screen. This was owing to the adoption of some needless and paradoxical assumptions to help simplify the geometry of the slit barrier-screen arrangement. In the new analysis however, all such approximations were discarded and a hyperbola theorem was forwarded which was then suitably applied to determine the exact fringe positions on screens of varied shapes (linear, semi-circular, semi-elliptical). This paper further builds on that work by laying down the mathematical framework necessary for counting fringes and then comparing their distributions on differently shaped screens, using MATLAB software package for numerical–graphical simulation. In addition, a pair of equivalent laws of proportionality are predicted that govern the distribution of fringes independent of the shape of the detection screen employed.
tudying from the Huygens-Fresnel's principle,this research first obtains the formula about the light intensity distribution of double-slit interference through the theoretical calculation. Then it simulate the light intensity distribution on the receive screen with the help of Fortran powerstation 4. 0 and Origin 6. 0 Professional software. Lastly,an analysis and discussion is carried out on the impact of the slit width,the distance between the two slits,the light wave length and the distance of receive screen to slit on double-slit interference.
The double slit experiment was first conceived of by the English physician-physicist Thomas Young in 1801. It was the first demonstrative proof that light possesses a wave nature. In this experiment, light is made to pass through two very narrow slits that are spaced closely apart and a screen placed on the other side captures a pattern of alternating bright and dark stripes called fringes, formed as a result of the interference of ripples of light emanating from either slit. The relative positions and intensities of the fringes on the screen can be calculated by employing two assumptions that help simplify the geometry of the slit-screen arrangement. Firstly, the screen to slit distance is taken to be larger than the inter-slit distance (far field limit) and secondly, the inter-slit distance is taken to be larger than the wavelength of light. This conventional approach can account for the positions and intensities of the fringes located in the central portion of the screen with a fair degree of precision. It however, fails to account for those fringes located in the peripheral portions of the screen and also, is not applicable to the case wherein the screen to slit distance is made comparable to the inter-slit distance (near field limit). In this paper, the original analysis of Young’s Experiment is reformulated using an analytically derived hyperbola equation, which is formed from the locus of the points of intersections of two uniformly expanding circular wavefronts of light that emanate from either slit source. Additionally, the shape of the screen used to capture the interference pattern is varied (linear, semicircular, semielliptical) and the relative positions of the fringes is calculated for each case. This new approach bears the distinctive advantage that it is applicable in both the far field and the near field scenarios, and since no assumptions are made beyond the Huygens-Fresnel principle, it is therefore, a much more generalized approach. For these reasons, the author suggests that the new analysis ought to be introduced into the Wave Optics chapter of the undergraduate Physics curriculum.