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Progress In Electromagnetics Research Letters

THE CLASSICAL STRUCTURE MODEL OF SINGLE PHOTON AND CLASSICAL POINT OF VIEW WITH REGARD TO WAVE-PARTICLE DUALITY OF PHOTON

Dong-Lin Zu

Published Jan 1, 2008• 16 citations
Publisher

Abstract

The enigma of the wave-particle duality of photon has remained unimpressively explained for a century since Einstein presents the concept of the photon in 1905. This article establishes a classical geometric structure model of a single photon based on fleld matter, educes a formula for the size of a photon; assumes that there only are two kinds of photon of right hand and left hand circular polarized, and suggests the frequency ! of photon polarization rotated to be its spin frequency. It ascribes the wavelike of photon to its spin motion and the particle-like to its translation motion. From the point of photon particle instead of wave view to re-analyze Young's double-slit interference and polarizer experiments, gives reasonable mechanism. It deflnes the phase velocity and the group velocity of a photon. It gives a unifled and consistent understanding of quantum particle of light and classical electromagnetic waves fleld. Evidently, such a precisely deflned conceptual model is reasonable, objective and easy to accept for classical physicists. The puzzle (1) of the wave-particle duality of light has remained unsatisfactorily explained nearly a century since Albert Einstein flrst proposed the photon, the quantum unit of light ‡ E=~!; ~=~ ~ ·

DOI
10.2528/pierl07111101

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The enigma of the wave-particle duality of photon has remained unimpressively explained for a century since Einstein presents the concept of the photon in 1905. This article establishes a classical geometric structure model of a single photon based on fleld matter, educes a formula for the size of a photon; assumes that there only are two kinds of photon of right hand and left hand circular polarized, and suggests the frequency ! of photon polarization rotated to be its spin frequency. It ascribes the wavelike of photon to its spin motion and the particle-like to its translation motion. From the point of photon particle instead of wave view to re-analyze Young's double-slit interference and polarizer experiments, gives reasonable mechanism. It deflnes the phase velocity and the group velocity of a photon. It gives a unifled and consistent understanding of quantum particle of light and classical electromagnetic waves fleld. Evidently, such a precisely deflned conceptual model is reasonable, objective and easy to accept for classical physicists. The puzzle (1) of the wave-particle duality of light has remained unsatisfactorily explained nearly a century since Albert Einstein flrst proposed the photon, the quantum unit of light ‡ E=~!; = ~ ·
Ever since behavior of photons were explained in terms of the matter-wave duality, mystery about the size of such a photon as it behaves like a particle has never slipped out from the scientific discussions. It is normally believed that the size of the photons is of the order of the wavelength of the electromagnetic wave. This paper addresses this scientific concern and attempts at opening the issue up for discussion after making a completely theoretical but consistent proposition. The argument presented here borrows the idea from the way particles have been conceptualized in quantum mechanics. In quantum mechanics it is argued that a particle gets represented not by a single wave but a group of waves in a way that the group velocity of such a group of waves exactly gives the velocity of the particle. Based on the same argument it is explained how the coherence length instead of the wavelength of the electromagnetic wave, must estimate the linear dimension of a photon. In the end, the discussion on the size of a photon in view of the special theory of relativity is also initiated in this paper.
This letter attempts to propose explanations for the century-old puzzle which thousands of physicists, including Einstein, Plank, Feynman …have been trying to resolve. A ‘particle’ is first mathematically characterized here as an impulse-function in space; and then Fourier-transformed into wave-number-domain; showing that a ‘particle’ contains a ‘set’ of waves, and not just a single frequency. Then a small ‘set’ of waves is taken and its sum is plotted showing that at most of the places the wave-amplitudes mutually nullify each-other and constructively add only at discrete points in space and time; agreeing with our mathematical characterization. Then we show that in the experiments performed so far the red lasers had at least a few thousand Hz wide line-width; means the sources have been producing a wide set of waves, and not just a pure single frequency. Similarly, in the single-particle interference-experiments incandescent filament-lamps were used with green filters inserted to isolate single photons; but it is obvious that at the frequencies of light very narrow-band-filters are not yet technically feasible, so the green filters used allowed significantly wide band of waves. This wide band of waves passed from both the slits, interfered like waves, and whenever and wherever they got coherently added, a ‘particle’ called ‘photon’ got detected.
Abstract The general results of constructing and modeling the photon wave function in the coordinate representation in the framework of quantum mechanics are presented in order to explain single-photon interference phenomena, in particular Young’s experiment. The relevance of this function is emphasized in connection with modern single-photon and two-photon experiments. The necessity of replacing the explanation of obtaining coherent light sources using the concept of a train of supposedly real electromagnetic waves emitted by one atom, by the conditional emission by this atom of the photon wave function in the coordinate representation, which then experiences diffraction and interference, is substantiated. A single-photon wave function is simulated based on the consideration of the electric dipole radiation of an atom in classical electrodynamics, and a conclusion is drawn on the possibility to explain Young’s experiment. It is argued that although the photon wave function (as well as of particles having mass) is not a physical object, the application of this function significantly weakens the problem of wave-particle duality of light. It is assumed the “nature” of this function reflects the properties of a physical vacuum, but new experiments are required to clarify it.
We model the Photon as a space lattice oscillation, in a plane perpendicular to its line of propagation. This propagation is at the light velocity c. This plane is vertical or horizontal or rotating clockwise or anticlockwise. This oscillation occupies a finite space volume of a defined shape, structure and size. Papers [1] and [2] model electromagnetism as the geometrodynamics of space; we show that the elastic space lattice oscillating displacement vector is the oscillating electric field, pointing in the opposite direction. For simplicity we ignore the magnetic field. We also show that our photons and ground state photons-the photoms, condense when they are in phase and disperse when in anti-phase. This feature explains the double slit experiment, both for an ensemble of photons (classical EM wave) and single photons. It dispels the need for attributing a dualistic nature to single photons that arrive at the screen one at a time.
The interpretation of single photon double slits Wheeler's delayed choice experiment leads to a weird inference: "what the observer does now can change what happened in the past". It subverts our cognitions. Other interpretations are also in dispute. Is there another possible way that can better explain experiments? For this purpose, we try to reacquaint what is a photon? What structure does it have? How does the structure influence the photon behavior? In 1905 Einstein supposed that the photon is a quantum of EM radiation; according to the quantum interpretation, the probability density of a coherent state undergoes a sinusoidal vibration with time. It will also excite a quantized EM wave. So, our research object must be an EM wave beams. We discover and prove that under the Quantification Law of Charge, there is a kind of axial symmetric EM-wave beam it is a quantum of circularly polarized light. Its energy is concentrated in a very small packet; this energy packet will be proved having the photon properties, like , , spin , obeying B-E statistics and so on; On the other hand, the width of the sodium spectral lines identifies that the energy packet carries a long EM wave beam. They form a wave-particle hybrid structure. It exhibits both wave property and particle property at the time in all experiments. Its interpretation for the single photon double slits Wheeler's delayed choice experiment does not lead to the above strange inference.
Light is quantum which indicates the duality of particles and waves. Therefore, it is not possible to make a model of light to explain two antithetical characters at the same time. But, I succeeded to draw a model of light having simultaneously both characteristics of particles and waves based on “energy body theory”. The reason why light makes interference fringes in Young double slit experiment became clear by this. Particularly, the reason why interference fringes are made, even when photons are emitted one by one, if many photons are emitted, were also made clear. More, this photon model gives the reason to the phenomena such as reflection, refraction and invariable velocity of light.