Modification of the Coulomb's Law in an Optical Near-Field Atomic Dipole Model

Dmytro Vasylenko; Petro Kravchuk; Valerii Grygoruk

doi:doi:10.11648/j.ajop.20180602.11

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Modification of the Coulomb's Law in an Optical Near-Field Atomic Dipole Model

Dmytro Vasylenko, Petro Kravchuk, Valerii Grygoruk

Published in American Journal of Optics and Photonics (Volume 6, Issue 2)

Received: 4 September 2018 Accepted: 25 September 2018 Published: 26 October 2018

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Abstract

In this paper, a model of a dipole with an atomic structure was considered, instead of the standard dipole model with point unlike charges and the Hertzian dipole model, which have significant drawbacks. It is shown that in the atomic dipole the Coulomb's law in the classical formulation does not work. Therefore, the Coulomb's law needs to be modified. A formula is proposed for the force of the dipole that arises between unlike charges in the process of dipole oscillations and the decompensation/compensation of their fields. The representation of the dependence of the interaction force between unlike charges on the distance between them was shown for three zones: the oscillation zone in which the proposed dipole force formula works, the ionization zone with electron shell detachment from the nucleus and coverage zone of the Coulomb's law between the divided charges formed as a result of ionization of the atom. The dynamics of the process of oscillation of the atomic dipole in four phases (quarters of the period) is investigated. It is shown that the reactive energy flows first emerge from the dipole, and then return to it, while the active energy flows always propagate from the dipole to the far zone. The mechanism of wave propagation of the radiation field is shown.

Published in	American Journal of Optics and Photonics (Volume 6, Issue 2)
DOI	10.11648/j.ajop.20180602.11
Page(s)	20-24
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2018. Published by Science Publishing Group

Keywords

Coulomb's Law, Intra-Dipole Vectors, Compensation, Lines of Force

References

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[3]	Ch. Christakis, K. Ioannidi, S. Sautbekov, P. Frangos, S. K. Atanov, (2014). The radiation problem from a vertical short dipole antenna above flat and lossy ground. Novel formulation in the spectral domain with closed form analytical solution in the high frequency regime. Elektronika ir Elektrotechnika, 20 (9), 35-38.
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[8]	K. Staliunas, P. Markoš, V. Kuzmiak, (2017). Scattering properties of a PT dipole. Physical Review A, 96 (4), 043852.
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[11]	E. Tucker, J. D’Archangel and G. Boreman, (2017). Near- and far-field investigation of dark and bright higher order resonances in square loop elements at mid-infrared wavelengths. Optics Express, 25 (5), 5594-5608.
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APA Style

Dmytro Vasylenko, Petro Kravchuk, Valerii Grygoruk. (2018). Modification of the Coulomb's Law in an Optical Near-Field Atomic Dipole Model. American Journal of Optics and Photonics, 6(2), 20-24. https://doi.org/10.11648/j.ajop.20180602.11

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ACS Style

Dmytro Vasylenko; Petro Kravchuk; Valerii Grygoruk. Modification of the Coulomb's Law in an Optical Near-Field Atomic Dipole Model. Am. J. Opt. Photonics 2018, 6(2), 20-24. doi: 10.11648/j.ajop.20180602.11

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AMA Style

Dmytro Vasylenko, Petro Kravchuk, Valerii Grygoruk. Modification of the Coulomb's Law in an Optical Near-Field Atomic Dipole Model. Am J Opt Photonics. 2018;6(2):20-24. doi: 10.11648/j.ajop.20180602.11

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@article{10.11648/j.ajop.20180602.11,
  author = {Dmytro Vasylenko and Petro Kravchuk and Valerii Grygoruk},
  title = {Modification of the Coulomb's Law in an Optical Near-Field Atomic Dipole Model},
  journal = {American Journal of Optics and Photonics},
  volume = {6},
  number = {2},
  pages = {20-24},
  doi = {10.11648/j.ajop.20180602.11},
  url = {https://doi.org/10.11648/j.ajop.20180602.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajop.20180602.11},
  abstract = {In this paper, a model of a dipole with an atomic structure was considered, instead of the standard dipole model with point unlike charges and the Hertzian dipole model, which have significant drawbacks. It is shown that in the atomic dipole the Coulomb's law in the classical formulation does not work. Therefore, the Coulomb's law needs to be modified. A formula is proposed for the force of the dipole that arises between unlike charges in the process of dipole oscillations and the decompensation/compensation of their fields. The representation of the dependence of the interaction force between unlike charges on the distance between them was shown for three zones: the oscillation zone in which the proposed dipole force formula works, the ionization zone with electron shell detachment from the nucleus and coverage zone of the Coulomb's law between the divided charges formed as a result of ionization of the atom. The dynamics of the process of oscillation of the atomic dipole in four phases (quarters of the period) is investigated. It is shown that the reactive energy flows first emerge from the dipole, and then return to it, while the active energy flows always propagate from the dipole to the far zone. The mechanism of wave propagation of the radiation field is shown.},
 year = {2018}
}

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TY  - JOUR
T1  - Modification of the Coulomb's Law in an Optical Near-Field Atomic Dipole Model
AU  - Dmytro Vasylenko
AU  - Petro Kravchuk
AU  - Valerii Grygoruk
Y1  - 2018/10/26
PY  - 2018
N1  - https://doi.org/10.11648/j.ajop.20180602.11
DO  - 10.11648/j.ajop.20180602.11
T2  - American Journal of Optics and Photonics
JF  - American Journal of Optics and Photonics
JO  - American Journal of Optics and Photonics
SP  - 20
EP  - 24
PB  - Science Publishing Group
SN  - 2330-8494
UR  - https://doi.org/10.11648/j.ajop.20180602.11
AB  - In this paper, a model of a dipole with an atomic structure was considered, instead of the standard dipole model with point unlike charges and the Hertzian dipole model, which have significant drawbacks. It is shown that in the atomic dipole the Coulomb's law in the classical formulation does not work. Therefore, the Coulomb's law needs to be modified. A formula is proposed for the force of the dipole that arises between unlike charges in the process of dipole oscillations and the decompensation/compensation of their fields. The representation of the dependence of the interaction force between unlike charges on the distance between them was shown for three zones: the oscillation zone in which the proposed dipole force formula works, the ionization zone with electron shell detachment from the nucleus and coverage zone of the Coulomb's law between the divided charges formed as a result of ionization of the atom. The dynamics of the process of oscillation of the atomic dipole in four phases (quarters of the period) is investigated. It is shown that the reactive energy flows first emerge from the dipole, and then return to it, while the active energy flows always propagate from the dipole to the far zone. The mechanism of wave propagation of the radiation field is shown.
VL  - 6
IS  - 2
ER  -

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Author Information

Dmytro Vasylenko

Faculty of Radio Physics, Electronics and Computer Systems, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
Petro Kravchuk

Faculty of Radio Physics, Electronics and Computer Systems, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
Valerii Grygoruk

Faculty of Radio Physics, Electronics and Computer Systems, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

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Plain Text BibTeX RIS

APA Style

Dmytro Vasylenko, Petro Kravchuk, Valerii Grygoruk. (2018). Modification of the Coulomb's Law in an Optical Near-Field Atomic Dipole Model. American Journal of Optics and Photonics, 6(2), 20-24. https://doi.org/10.11648/j.ajop.20180602.11

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ACS Style

Dmytro Vasylenko; Petro Kravchuk; Valerii Grygoruk. Modification of the Coulomb's Law in an Optical Near-Field Atomic Dipole Model. Am. J. Opt. Photonics 2018, 6(2), 20-24. doi: 10.11648/j.ajop.20180602.11

Copy | Download

AMA Style

Dmytro Vasylenko, Petro Kravchuk, Valerii Grygoruk. Modification of the Coulomb's Law in an Optical Near-Field Atomic Dipole Model. Am J Opt Photonics. 2018;6(2):20-24. doi: 10.11648/j.ajop.20180602.11

Copy | Download

@article{10.11648/j.ajop.20180602.11,
  author = {Dmytro Vasylenko and Petro Kravchuk and Valerii Grygoruk},
  title = {Modification of the Coulomb's Law in an Optical Near-Field Atomic Dipole Model},
  journal = {American Journal of Optics and Photonics},
  volume = {6},
  number = {2},
  pages = {20-24},
  doi = {10.11648/j.ajop.20180602.11},
  url = {https://doi.org/10.11648/j.ajop.20180602.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajop.20180602.11},
  abstract = {In this paper, a model of a dipole with an atomic structure was considered, instead of the standard dipole model with point unlike charges and the Hertzian dipole model, which have significant drawbacks. It is shown that in the atomic dipole the Coulomb's law in the classical formulation does not work. Therefore, the Coulomb's law needs to be modified. A formula is proposed for the force of the dipole that arises between unlike charges in the process of dipole oscillations and the decompensation/compensation of their fields. The representation of the dependence of the interaction force between unlike charges on the distance between them was shown for three zones: the oscillation zone in which the proposed dipole force formula works, the ionization zone with electron shell detachment from the nucleus and coverage zone of the Coulomb's law between the divided charges formed as a result of ionization of the atom. The dynamics of the process of oscillation of the atomic dipole in four phases (quarters of the period) is investigated. It is shown that the reactive energy flows first emerge from the dipole, and then return to it, while the active energy flows always propagate from the dipole to the far zone. The mechanism of wave propagation of the radiation field is shown.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - Modification of the Coulomb's Law in an Optical Near-Field Atomic Dipole Model
AU  - Dmytro Vasylenko
AU  - Petro Kravchuk
AU  - Valerii Grygoruk
Y1  - 2018/10/26
PY  - 2018
N1  - https://doi.org/10.11648/j.ajop.20180602.11
DO  - 10.11648/j.ajop.20180602.11
T2  - American Journal of Optics and Photonics
JF  - American Journal of Optics and Photonics
JO  - American Journal of Optics and Photonics
SP  - 20
EP  - 24
PB  - Science Publishing Group
SN  - 2330-8494
UR  - https://doi.org/10.11648/j.ajop.20180602.11
AB  - In this paper, a model of a dipole with an atomic structure was considered, instead of the standard dipole model with point unlike charges and the Hertzian dipole model, which have significant drawbacks. It is shown that in the atomic dipole the Coulomb's law in the classical formulation does not work. Therefore, the Coulomb's law needs to be modified. A formula is proposed for the force of the dipole that arises between unlike charges in the process of dipole oscillations and the decompensation/compensation of their fields. The representation of the dependence of the interaction force between unlike charges on the distance between them was shown for three zones: the oscillation zone in which the proposed dipole force formula works, the ionization zone with electron shell detachment from the nucleus and coverage zone of the Coulomb's law between the divided charges formed as a result of ionization of the atom. The dynamics of the process of oscillation of the atomic dipole in four phases (quarters of the period) is investigated. It is shown that the reactive energy flows first emerge from the dipole, and then return to it, while the active energy flows always propagate from the dipole to the far zone. The mechanism of wave propagation of the radiation field is shown.
VL  - 6
IS  - 2
ER  -

Copy | Download