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Shuxue de shijian yu renshi

The Mathematical Simulation Based on the Wave-Particle Duality

Jie Xiang

Published Jan 1, 2012• 0 citations
OpenAlex

Abstract

In the basis of photon's inwardness and two kinds of wave-particle duality guesses, this paper establishes the probability model of optical diffraction,two-slit interference of optical magnetic field and the polarization model of optical magnetic field.We also design Monte Carlo algorithm and write simulation program to do experimentation.It is fully answered the questions of the competition in this paper.

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In the basis of photon's inwardness and two kinds of wave-particle duality guesses, this paper establishes the probability model of optical diffraction,two-slit interference of optical magnetic field and the polarization model of optical magnetic field.We also design Monte Carlo algorithm and write simulation program to do experimentation.It is fully answered the questions of the competition in this paper.
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.
According to the intensity distribution function of Young two-sit interference and diffraction,and the theory of De Broglie matter wave,the program selects the electrons in the way of Monte Carlo's acceptance-rejection sampling to show on the picture box in the Visual Basic program,resulting in the sima lation of two-sit interference and diffraction of electrons in the Visual Basic environment.It is helpful in teaching for students to vividly understand the wave-particle duality and probability wave.