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Shuxue de shijian yu renshi

Modeling and Simulation Based on the Conjecture of Wave-Particle Duality of Light

Lv Fangcheng

Published Jan 1, 2012• 0 citations
OpenAlex

Abstract

Based on the wave-particle duality of light,many scholars have proposed different guesses,to explain the linear propagation,diffraction and interference of light.In this article, mathematical modeling and simulation verification have been carried out on three guesses based on the wave-particle duality of light.With the Matlab tool,the optical phenomenon, such as diffraction,are used to verify the corresponding guess,and the results are compared with the book Optical Principle.

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Based on the wave-particle duality of light,many scholars have proposed different guesses,to explain the linear propagation,diffraction and interference of light.In this article, mathematical modeling and simulation verification have been carried out on three guesses based on the wave-particle duality of light.With the Matlab tool,the optical phenomenon, such as diffraction,are used to verify the corresponding guess,and the results are compared with the book Optical Principle.
Simulation researches are conducted by mathematical modeling approach through computer for verification wave-particle duality of light.Firsty,the following two models are established:the single slit diffraction simulation model based on Photon hydrogen-like structure,which light change in forward direction after passed the silt is explained.And the double slit interference simulation model based on Photon electromagnetic plane wave concept,whichblack hole effect likeis proposed.Then,the rationality of the models are verified by means of Matlab simulation.Finally,combined with mentioned two models,qualitative analysis show that wave-particle duality of light properly is explained by simulation result.
Light has wave-particle duality,but it is difficult to see these two properties in a particular optical phenomenon.Both properties of light can be a perfect unity,if we could explain the wave nature through the particle property.Base on the Mathematical modeling of Gong Zutong photon model and the forward electromagnetic photon model,we compared the MATLAB simulation results with the experimental results.Then we find both models are shortcomings,and propose an improved photon model.With this improved model,we explain the optical interference,diffraction and polarization phenomena which show the wave nature of light.
Gong Zutong academician guessed that the structure of the photon may be similar to the hydrogen atom which consists of a negative charge and a positive charge with the equal power, and the negative charge rotates around the positive charge in a spherical orbit. Based on this conjecture, to establish respectively the equation of photon movement for the dual-slit interference and single slit diffraction experiments. To get respectively the light intensity distribution model using complex integration method. Finally, to get that the width of the diffraction pattern of the conjecture is obviously wider than the results of Born through mathematical simulation in MATLAB software.
Based on the propagation property of light wave and the wave-particle duality of light,an innovative propagating model is offered in this paper.The model is to change a photon's position and its propagation,corresponding to discrete in time and space.Instead of the general mechanical movement,it can be verified by the interference and the diffraction experiments of light.Comparing the photon and the electron with a similar model,namely,the change position of an electron is also its propagation,corresponding discrete time and space.Instead of the general mechanical movement,it can be verified by the diffraction of Germer-Davison with the experiment of electron and the Josephson Effect.
The phenomenon of light duality is a fundamental concept in modern physics that states that light has a dual nature, namely as a wave and a particle. Understanding this concept often becomes a challenge in learning due to the limitations of laboratory facilities to directly observe interference and diffraction phenomena. This study aims to explore the concept of light duality through quantum interference simulations based on a virtual laboratory using PhET Interactive Simulations from the University of Colorado Boulder. The research was conducted in a descriptive-quantitative manner by varying three main parameters, namely the number of slits (1, 2, and 3), slit width (0.04–0.4 mm), and light wavelength (400–700 nm). Each configuration was systematically simulated to observe the resulting diffraction and interference patterns. Data analysis was carried out using descriptive and inferential statistics, including Shapiro-Wilk, Levene, Kruskal-Wallis tests, as well as one-way ANOVA to identify the relationship between optical variables and the characteristics of interference patterns. The research results indicate that with variations in the number and width of slits, light tends to behave like particles with concentrated intensity, whereas with variations in wavelength, the widening light-dark pattern demonstrates wave properties. These findings reinforce the concept of light duality and confirm the effectiveness of virtual laboratories as a learning medium for visually and interactively understanding complex quantum phenomena.