Electron rest mass and energy levels of atoms in the photonic crystal medium

Gainutdinov, Renat Kh.; Khamadeev, M. A.; Салахов, М. Х.

doi:10.1103/physreva.85.053836

Cited by 35 publications

(4 citation statements)

References 18 publications

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“…So our purpose is to investigate the effect of concentration ratio of reactant and duration of the reaction on the particle size, making possible creation of PC with predetermined characteristics. Our results are relevant for the experimental verification of the effect predicted by the authors in [5]. …”

supporting

confidence: 77%

Synthesis optimization of photonic crystals based on silicon and vanadium dioxides

Akhmadeev

Sarandaev

Салахов

2013

J. Phys.: Conf. Ser.

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Abstract. The photonic crystal is the material which structure is characterized by periodic distribution of refraction index in the spatial directions, which have the photonic band gaps in a spectrum of own electromagnetic states. There are numerous approaches of the creation of photonic crystals. In the present the optimal conditions of synthesis of photonic crystals based on silicon dioxide as well as the inverse photonic crystals based on vanadium dioxide are investigated. It is known that the synthesis process is influenced by many different factors. We have studied the dependence of the particle size on the concentration of reagents, as well as on the duration of the reaction. These studies are important for the production of samples of photonic crystals with a definite structure. IntroductionOne of the most important areas of modern physics is the study of periodic optical nanostructures, known as photonic crystals (PC) in which the dielectric constant varies periodically in space with period allowing Bragg diffraction of light. It is known that crystals of all types can disperse some radiation, provided that the period of the crystal lattice is of the same order as the wavelength of the radiation. Similarly, photonic crystals do not transmit the light with a wavelength comparable to the period of the photonic crystal structure, at the same time PCs are transparent to a wide range of electromagnetic radiation spectrum. These spectral bands are called "photonic band gap" (PBG) [1]. The works on photonic crystals are motivated by a number of promising applications, such as high-performance light emitting diodes, lowthreshold lasers, optical waveguides with sharp bends and optical microchips. Nowadays there are numerous approaches to the creation of PC by using the lithography [2], interferential holography [3] and self-assembly of colloidal particles [4]. One of the first materials that have been considered as photonic crystals were synthetic opals, consisting of close-packed spherical particles of silica. Self-assembly techniques are very promising, since they are quite simple in terms of hardware design and have no fundamental restrictions both on the sample size and the number of photonic crystals produced in one cycle of synthesis. However, the synthesis process is influenced by the factors like setting of the concentration ratio of the reactants, reaction temperature, sequence of blending and more. So our purpose is to investigate the effect of concentration ratio of reactant and duration of the reaction on the particle size, making possible creation of PC with predetermined characteristics. Our results are relevant for the experimental verification of the effect predicted by the authors in [5].

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supporting

confidence: 77%

Synthesis optimization of photonic crystals based on silicon and vanadium dioxides

Akhmadeev

Sarandaev

Салахов

2013

J. Phys.: Conf. Ser.

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“…We do not, as a rule, use QM to discuss the orbit of the Moon. Surprisingly, even the proposition P 2 above is contextual: the effective mass of an electron in vacuo is measurably different to the effective mass of an electron in a crystal [14]. We point out that physicists such as Dirac have explored the notion that physical 'constants' depend on time.…”

Section: Contextmentioning

confidence: 84%

Contextual completeness and a classification scheme for theories

Jaroszkiewicz

2015

Preprint

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We discuss the role of propositions, truth, context and observers in scientific theories. We introduce the concept of generalized proposition and use it to define an algorithm for the classification of any scientific theory. The algorithm assigns a number 0, 1, 2 or 3 to a given theory, thereby classifying it as of metaphysical, mathematical, classical or quantum class. The objective is to provide an impartial method of assessing the scientific status of any theory.

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“…In Ref. [16], it has been shown that a strong modification of the electromagnetic interaction in photonic crystals results in the fact that the electron mass changes its value. Actually in this case, we deal with a quantum electrodynamical (QED) effect that does not manifest itself in the free space.…”

Section: Introductionmentioning

confidence: 99%

Modification of the Electromagnetic Field in the Photonic Crystal Medium and New Ways of Applying the Photonic Band Gap Materials

Gainutdinov¹,

Khamadeev²,

Akhmadeev³

et al. 2018

Theoretical Foundations and Application of Photonic Crystals

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Photonic crystals (PCs) are periodic systems that consist of dielectrics with different refractive indices. Photonic crystals have many potential technological applications. These applications are mainly based on the photonic bang gap effect. However the band gap is not only effect that follows from the periodic changing of the refractive index in the photonic crystal. The periodic change of the photon-matter interaction in photonic crystal medium gives rise to the fact that the mass of an electron in the photonic crystal must differ from its mass in vacuum. Anisotropy of a photonic crystal results in the dependence of the electromagnetic mass correction on the orientation of the electron momentum in a photonic crystal. This orientation dependence in turn gives rise to the significant correction to the transition frequencies in an atom placed in air voids of a photonic crystal. These corrections are shown to be comparable to the atomic optical frequencies. This effect allows one to control the structure of the atomic energy levels and hence to control resonance processes. It can serve as the basis for new line spectrum sources. The effect provides new ways of realization of quantum interference between decay channels that can be important for quantum information science.

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Electron rest mass and energy levels of atoms in the photonic crystal medium

Cited by 35 publications

References 18 publications

Synthesis optimization of photonic crystals based on silicon and vanadium dioxides

Synthesis optimization of photonic crystals based on silicon and vanadium dioxides

Contextual completeness and a classification scheme for theories

Modification of the Electromagnetic Field in the Photonic Crystal Medium and New Ways of Applying the Photonic Band Gap Materials

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