Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Advanced materials research

Mathematical Modeling and Simulation Based on the Light Particles Doctrine

Duan Yin Shi, Xiao Peng Zhang, Hong Xia Du

Published Jun 1, 2012• 0 citations
Publisher

Abstract

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.

DOI
10.4028/www.scientific.net/amr.529.148

Related papers

A Conjecture of the Photon Structure and its Mathematical Simulation

Xue Min-di

This paper studies the photon structure through the phenomenon of Wave Particle Duality and proposes a photon model.This model has the following features:(1)Attractiveforce exists between the photon and nucleus;(2)The altering electromagnetic and magnetic fields equips the photon with phase and light intensity is determined by the number and phase of photons.Based on these hypotheses,the paper takes the celestial body movement for reference and analyses the photon distributionprobability.Then,according to the central limit theorem,we get the conclusion that the photons obey a Gaussian distribution. Besides,the superposition effects of photon phase are analyzed.Finally,computer simulation is carrier out to compare with the present optical experimental phenomena such as the single slit diffraction,double slit interference and multi-slit interference.

Shuxue de shijian yu renshi•Jan 1, 2012•0 citations

Research on wave-particle duality of light simulation

Liu Shu-re

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.

Jisuanji gongcheng yu sheji•Jan 1, 2014•0 citations

Light Wave-particle Duality Exploration

Zhongliang Liu

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.

Shuxue de shijian yu renshi•Jan 1, 2012•0 citations

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

Lv Fangcheng

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.

Shuxue de shijian yu renshi•Jan 1, 2012•0 citations

Research on light intensity distribution of photon single-slit and multiple-slit diffraction with quantum theory

WU Yi-heng

The single-slit and multiple-slit diffraction of photon is researched with quantum theory.First,the Schrdinger equation is adopted to calculate light intensity distribution expression of photon.Then the Kirchhoff formula is adopted to calculate quality relationship between light intensity distribution and slit width,length,thickness,light wavelength.Finally,theoretical result is compared with experimental data and classical theory,the result shows that they are almost similar to the same.

Journal of Northwest Normal University•Jan 1, 2011•0 citations

A quantum-mathematical model to state single photon (electron) double slit experiment, Fraunhofer and Fresnel diffractions

Akbar Rahmani Nejad, M. A. Olia

This paper provides a complete physical model associated with mathematical analysis and formulation that is based on Schrödinger equation and Feynman path integral. This model answers to single Photon (electron) double slit experiment with high degree of accuracy. It also gives a new method of analysis and formulation for Fresnel and Fraunhofer diffractions that are completely according to the Schrödinger equation and Feynman path concept. The results of these methods are precisely in agreement with the near field and far field diffraction experiments. In other words the new formulation in all above mentioned phenomena i.e. single photon (electron) double slit experiment, Fresnel and Fraunhofer diffractions are completely confirmed by lab experiments(measurements). Lab experiments mean common intensity and pattern experiments resulting from Fresnel (near field) diffraction, Fraunhofer (far field) diffraction and patterns resulting in single photon (electron) lab experiment. The resultant formulas are sketched and calculated by matlab program, the resultant graphs and values are compared with lab experiments in each section. This analysis substitutes wave function and probability density function concepts instead of interference of light beams emitted from infinitesimal pinholes or classical interpretation of near field diffraction and far field diffraction phenomena. The ultimate goal of this paper is to give a very accurate answer to the single particle double slit experiment and also to unify diffraction concept of classical optics in to quantum mechanics, deleting the traditional concept of phases in classical optics and substituting the concept of deflection of Feynman paths. The above mentioned analysis may be a glad tiding to a reliable method to unify classical optics in to quantum mechanics.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Aug 20, 2009•0 citations
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.
This paper studies the photon structure through the phenomenon of Wave Particle Duality and proposes a photon model.This model has the following features:(1)Attractiveforce exists between the photon and nucleus;(2)The altering electromagnetic and magnetic fields equips the photon with phase and light intensity is determined by the number and phase of photons.Based on these hypotheses,the paper takes the celestial body movement for reference and analyses the photon distributionprobability.Then,according to the central limit theorem,we get the conclusion that the photons obey a Gaussian distribution. Besides,the superposition effects of photon phase are analyzed.Finally,computer simulation is carrier out to compare with the present optical experimental phenomena such as the single slit diffraction,double slit interference and multi-slit interference.
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.
This paper provides a complete physical model associated with mathematical analysis and formulation that is based on Schrödinger equation and Feynman path integral. This model answers to single Photon (electron) double slit experiment with high degree of accuracy. It also gives a new method of analysis and formulation for Fresnel and Fraunhofer diffractions that are completely according to the Schrödinger equation and Feynman path concept. The results of these methods are precisely in agreement with the near field and far field diffraction experiments. In other words the new formulation in all above mentioned phenomena i.e. single photon (electron) double slit experiment, Fresnel and Fraunhofer diffractions are completely confirmed by lab experiments(measurements). Lab experiments mean common intensity and pattern experiments resulting from Fresnel (near field) diffraction, Fraunhofer (far field) diffraction and patterns resulting in single photon (electron) lab experiment. The resultant formulas are sketched and calculated by matlab program, the resultant graphs and values are compared with lab experiments in each section. This analysis substitutes wave function and probability density function concepts instead of interference of light beams emitted from infinitesimal pinholes or classical interpretation of near field diffraction and far field diffraction phenomena. The ultimate goal of this paper is to give a very accurate answer to the single particle double slit experiment and also to unify diffraction concept of classical optics in to quantum mechanics, deleting the traditional concept of phases in classical optics and substituting the concept of deflection of Feynman paths. The above mentioned analysis may be a glad tiding to a reliable method to unify classical optics in to quantum mechanics.