Photon Localization Revisited

Saari, Peeter

doi:10.5772/29895

Cited by 15 publications

(16 citation statements)

References 40 publications

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“…For quasi-nondiffracting light fields at pulse durations where approximations like slowly varying envelope approximation and narrow bandwidth models break down [2] it is expected that the limits of localization have to be redefined and standardized quantitative measures like the beam propagation factor have to be replaced by more adequate parameters in future.…”

Section: Discussionmentioning

confidence: 99%

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Ultrashort highly localized wavepackets

Böck¹,

Das²,

Grünwald³

2012

Opt. Express

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The recently introduced concept of radially non-oscillating, temporally stable ultrashort-pulsed Bessel-like beams we referred to as needle beams is generalized to a particular class of highly localized wavepackets (HLWs). Spatio-temporally quasi-nondiffracting pulses propagating along extended zones are shaped from Ti:sapphire oscillator radiation with a spatial light modulator and characterized with spatially resolved second order autocorrelation. Few-cycle wavepackets tailored to resemble circular disks, rings and bars of light represent the closest approximation of linear-optical light bullets known so far. By combining multiple HLWs, complex pulsed nondiffracting patterns are obtained.

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Section: Discussionmentioning

confidence: 99%

“…The confinement of light in space and time is a fundamental challenge in physics [1][2][3] with various practical implications, e.g. for high-resolution microscopy, manipulation and acceleration of particles or cells, precision metrology, or nanostructuring.…”

Section: Introductionmentioning

confidence: 99%

Ultrashort highly localized wavepackets

Böck¹,

Das²,

Grünwald³

2012

Opt. Express

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“…Apparently, the first works in which the idea of a possible photon "localization" described by a probability density, defined by the normalized per unit wave function, has been proposed are [20][21][22][23]. Further development of the theory and justification of building of coordinate single-particle wave function of the photon was performed in [24][25][26][27][28][29][30][31][32] and others.…”

Section: Photon Wave Function In Coordinatementioning

confidence: 99%

The Young's Interference Experiment in the Light of the Single-photon Modeling of the Laser Radiation

Davydov¹,

Zlydneva²

2016

Proceedings of the 2016 Conference on Information Technologies in Science, Management, Social Sphere and Medicine

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Abstract-The basic principles of quantum mechanics of the photon, describing its single-particle states by means of the wave function in the coordinate representation are given. This wave function is a wave packet constructed by the superposition of the basic bivectors which are eigenfunctions of the operators of energy, momentum and helicity. The results of modeling in the space-time of such wave packet with a Gaussian distribution on the momentum of the photon corresponding femtosecond laser radiation are discussed. On the basis of the general ideas about the evolution of this packet and within the framework of the constructed photon quantum mechanics the quantum-mechanical approach is proposed to explain the wave phenomena exhibited by light such as the light interference in Young's experiment. It is emphasized that actually the photon isn't some "created" quantum corpuscle, but it's a quasi-particle that is a result of the propagation of spin waves in physical vacuum, the nature of which should be considered at the Planck distances simultaneously with the structure of the leptons and other fundamental particles.

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“…The average values of the coordinates of the detection point of the photon in state (1) get the following -6, 46, 47] the analysis is carried out of the evolution of the considered wave packet by calculation of an electric intensity taking into account (1), (42), (51), (59) -(62). Practically, not equal to zero in this case is only the projection of electric field intensity x E which characterizes, definitely, a space probability density.…”

Section: Advances In Computer Science Research (Acsr) Volume 72mentioning

confidence: 99%

“…Hence, the need for constructing the wave function of a photon in the coordinate representation becomes again urgent. In [35][36][37][38][39][40][41][42][43][44][45] and others the single-partial wave function of the photon got further development in theoretical substantiation.…”

Section: Photon Wave Function In Coordinate Representationmentioning

confidence: 99%

The Modeling of the Young's Interference Experiment in terms of Single-photon wave function in the coordinate representation

Davydov¹,

Zlydneva²

2017

Proceedings of the IV International Research Conference "Information Technologies in Science, Management, Social Sphere and Med

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Abstract-The main principles of photon quantum mechanics describing its one-particle states with the help of the wave function in coordinate representations are given. This wave function (packet) is the superposition of the basic bivectors that are generalized eigenfunctions of energy, momentum, and helicity operators. The quantum-mechanical approach is offered for an explanation of the interference Young's experiment. This explanation is especially important for new interpretation of the non-laser method of obtaining the interference by the amplitude division, as in this case it is traditionally assumed that the radiation of one light train of a single atom interferes with itself. In our explanation, not both "halves" of some real train ("scrap") of the electromagnetic wave interfere with each other, but the both terms of the photon's wave function do this. Nevertheless, the wave function is not directly measured by experience, and therefore it does not exist as a physical object. The attraction of the wave function to the explanation of single-photon interference obtained "by the division of the wave front" is obviously also necessary. Therefore, the situation for the photons emitted by individual atoms (and also, obviously, by laser), is absolutely similar to the situation with the particles having mass, whose distribution in space is described by wave function in coordinate representation. It is pointed out that in fact the photon is not some "formed" quantum particle, but it is a quasi-particle arising when a certain spin wave propagates in a physical vacuum at Planck distances.

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Photon Localization Revisited

Cited by 15 publications

References 40 publications

Ultrashort highly localized wavepackets

Ultrashort highly localized wavepackets

The Young's Interference Experiment in the Light of the Single-photon Modeling of the Laser Radiation

The Modeling of the Young's Interference Experiment in terms of Single-photon wave function in the coordinate representation

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