Description of the longitudinal electromagnetic waves by the Maxwell equations
DOI:
https://doi.org/10.24144/2415-8038.2019.45.116-124Keywords:
The Maxwell equations, Electromagnetic field, Classical electrodynamics, Longitudinal electromagnetic wavesAbstract
Purpose. The long time discussion on existence, or not existence, of longitudinal electromagnetic waves both in nature and in Maxwell classical electrodynamics is under consideration. The modern experiments on the existence of such waves are reviewed briefly. The link between the longitudinal electromagnetic waves and the system of Maxwell equations is demonstrated.
Methods. Maxwell classical electrodynamics, Fourier method, Fourier transform, amplitude analysis.
Results. The longitudinal wave component of the electric field strength vector is found as an exact solution of the standard Maxwell equations with specific currents and charges of the gradient type. The corresponded scalar wave component, which is propagated in the same direction, is found as well. The longitudinal components of both electric and magnetic field strengths, together with two corresponded scalar waves, are found as the exact solution of generalized Maxwell equations, which are characterized by the maximally high symmetry properties.
Conclusions. The analysis of found solutions demonstrates that longitudinal components are located near the corresponded current and charge densities, which are the sources of such fields. It follows from the fact that current and charge densities and the corresponded longitudinal components in the solutions are determined by the same amplitudes. The best examples of corresponding physical reality are such big charges as the whole water area of closed sea, the planet Earth in general, their oscillations and corresponding longitudinal electric and scalar waves.
References
Cheney M. Tesla, master of lightning/ M. Cheney, R. Uth. – New York: Barnes and Noble Books, 1999. – 198 p.
Nedic S. Longitudinal waves in electromagnetism – toward a consistent theory / S. Nedic // Galilean Electrodynamics. – 2017. – V. 28, № 5. – P. 91–96.
Ferraro V.C.A. Longitudinal electromagnetic waves between parallel plates / V.C.A. Ferraro, Flint H.T. Ferraro // Proceedings of the Physical Society. – 1941. – V. 53, № 2. – P. 170–181.
Khvorostenko N.P. Longitudinal electromagnetic waves / N.P. Khvorostenko // Russian Physical Journal. – 1992. – V. 35, № 3. – P. 223–227.
Simulik V.M. Connection between the symmetry properties of the Dirac and Maxwell equations. Conservation laws / V.M. Simulik // Theoretical and Mathematical Physics. – 1991. – V. 87, № 1. – P. 386–393.
Krivsky I.Yu. General solution of the Maxwell equations with gradient-like sources and longitudinal electromagnetic waves / I.Yu. Krivsky, V.M. Simulik // Non-Euclidean geometry in modern physics. BGL-1: The 1-st International Conference, 13–16 August 1997: Proceedings. – Uzhgorod, 1997. – P. 193–199.
Кривський І.Ю. Про повздовжні електромагнітні хвилі / І.Ю. Кривський, В.М. Симулик // Науковий вісник Ужгородського університету. Серія Фізика. – 1998. – № 2. – С. 121–125.
Simulik V.M. Longitudinal electromagnetic waves in the framework of standard classical electrodynamics [Електронний ресурс] / V.M. Simulik V.M. // arXiv:1606.01738 [physics.class-ph]. – 2016. – 3 pp .– Режим доступу: https://arxiv.org/abs/1606.01738.
Simulik V.M. Slightly generalized Maxwell classical electrodynamics can be applied to inneratomic phenomena / V.M. Simulik, I.Yu. Krivsky // Annales de la Fondation Louis de Broglie. – 2002. – V. 27, № 2. – P. 303–328.
Simulik V.M. Relationship between the Maxwell and Dirac equations: symmetries, quantization, models of atom / V.M. Simulik, I.Yu. Krivsky // Reports on Mathematical Physics. – 2002. – V. 50, № 3. – P. 315–328.
Simulik V.M. Classical electrodynamical aspect of the Dirac equation / V.M. Simulik, I.Yu. Krivsky // Electromagnetic Phenomena. – 2003. – V. 3, № 1(9). – P. 103–114.
Krivsky I.Yu. Fermi-Bose duality of the Dirac equation and extended real Clifford-Dirac algebra / I.Yu. Krivsky, V.M. Simulik // Condensed Matter Physics. – 2010. – V. 13, № 4. – P. 43101(1–15).
Simulik V.M. Bosonic symmetries, solutions and conservation laws for the Dirac equation with nonzero mass / V.M. Simulik, I.Yu. Krivsky, I.L. Lamer // Ukrainian Journal of Physics. – 2013. – V. 58, № 6. – P. 523–533.
Tidwell S.C. Generating radially polarized beams interferometrically / S.C. Tidwell, D.H. Ford, W.D. Kimura // Applied Optics. – 1990. – V. 29, № 15. – P. 2234–2239.
Dorn R. Sharper focus for a radially polarized light beam / R. Dorn, S. Quabis, G. Leuchs // Physical Review Letters. – 2003. – V. 91, № 23. – P. 233901(1–4).
Miyaji G. Intense longitudinal electric fields generated from transverse electromagnetic waves / G. Miyaji, N. Miyanaga, K. Tsubakimoto, K. Sueda, K. Ohbayashi // Applied Physics Letters. – 2004. – V. 84, № 19. – P. 3855–3857.
Niziev V.G. Generation of polarisation-nonuniform modes in a high-power CO2-laser / V.G. Niziev, V.P. Yakunin, N.G. Turkin // Quantum Electronics. – 2009. – V. 39, № 6. – P. 505–514.
Kovrizhnykh L.M. Interaction of longitudinal and transverse waves in plasma / L.M. Kovrizhnykh, V.N. Tsytovich // Soviet Physics – JETP. – 1964. V. 19, № 6. – P. 1494–1499.
Bogdankevich L.S. Excitation of longitudinal electromagnetic waves in a restricted plasma by injection of relativistic electron beams / L.S. Bogdankevich, A.A. Rukhadze // Soviet Physics – JETP. – 1972. – V. 35, № 1. – P. 126–132.
Petrov E.Yu. Plasmons in QED vacuum / E.Yu. Petrov, A.V. Kudrin // Physical Review. – 2016. – V. A94, № 3. – P. 032107(1–8).
Datsyuk V.V. Properties of longitudinal electromagnetic oscillations in metals and their excitation at planar and spherical surfaces / V.V. Datsyuk, O.R. Pavlyniuk // Nanoscale Research Letters. – 2017. – V. 12, № 1. – P. 473(1–8).
Monstein C. Observation of scalar longitudinal electrodynamic waves / C. Monstein, J.P. Wesley // Europhysics Letters. – 2002. – V. 59, № 4. – P. 514–520.
Rebilas K. On the origin of longitudinal electrodynamic waves / K. Rebilas // Europhysics Letters. – 2008. – V. 83, № 6. – P. 60007(1–5).
Downloads
Published
Issue
Section
License
Copyright (c) 2019 Scientific Herald of Uzhhorod University.Series Physics
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Authors who publish with this journal agree to the following terms:- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
