Non-Monochromatic Electromagnetic Radiation of Inhomogeneous Media

Grinchik, Nicolay N.; Andrejev, Vladimir G.; Zayats, G. M.; Grinchik, Yury N.

doi:10.4236/jemaa.2018.102002

Cited by 3 publications

(7 citation statements)

References 10 publications

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“…Appendix A to this article describes the equations that can be used to take into account the surface current and charge at the interface between adjacent medium when simulating the process of propagation of electromagnetic waves in slowly moving medium. This issue is described in more detail in [7]. In most works on the electrodynamics of inhomogeneous layered structures, the surface current and charge at the interface between adjacent medium are not taken into account [4].…”

Section: Analysis Of Applicability Of Maxwell's Equations and Minkows...mentioning

confidence: 99%

“…In what follows, the electromagnetic wave speed v will be determined by the Fresnel formula. In high-frequency electrodynamics, to take into account the medium motion, the state changes of which are sufficiently slow compared to the frequency of an electromagnetic wave propagating through it, when v(t) and it is possible to recommend using the hyperbolic "aeroacoustics" equation derived by D. Blokhintsev [8, p. 40, 84-87] for electrodynamics [7,9,12]. In this case, the telegraph equation will be as follows:…”

Section: Equations For Description Of Electromagnetic Waves Propagati...mentioning

confidence: 99%

“…where c -speed of disturbance transmission in a medium at rest; h0, -the length of the difference cell and the time step in the Lagrange frame of reference. In fact, Equation (7), if there is no conduction current, we solved numerically for acoustic tasks in this paper. For the onedimensional case, instead of E, we used the sound pressure P [9].…”

Section: Equations For Description Of Electromagnetic Waves Propagati...mentioning

confidence: 99%

“…We have considered in more detail the issues of agreement in work [7] and presented in Appendix B to this article. Note that in order to fulfill the matching conditions, we proposed to use a soliton-like electromagnetic wave packet, which can be used to take into account the broadening of spectral lines, the temporal and spatial dispersion of signals in a material moving medium.…”

Section: Numerical Simulation Of Electromagnetic Wave Propagation In ...mentioning

confidence: 99%

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High-Frequency Electrodynamics of Slow Moving Media Taking into Account the Specular Reflection

Grinchik

Boiprav

2021

AEM

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The paper presents the results of constructing the physical and mathematical model of high-frequency electromagnetic waves propagation in slowly moving media of finite dimensions, which takes into account the phenomena of specular reflection of these waves. The constructed model is based on formulas designed to determine the speed of electromagnetic waves propagation in slowly moving media of finite dimensions, as well as on equations designed to describe these waves. The advantageous feature of these equations is that they take into account the Fresnel drag coefficient for electromagnetic waves propagation speed. The approach to solving of these equations, as well as the approach to modeling of the process of electromagnetic waves propagation in slowly moving media of finite dimensions, based on the use of a difference scheme, in which the motion of these media is taken into account, is proposed. It has been determined that the proposed model and approaches can be used in solving problems related to the construction of receiving-transmitting paths, as well as in solving problems of aeroacoustics.

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Section: Analysis Of Applicability Of Maxwell's Equations and Minkows...mentioning

confidence: 99%

Section: Equations For Description Of Electromagnetic Waves Propagati...mentioning

confidence: 99%

Section: Equations For Description Of Electromagnetic Waves Propagati...mentioning

confidence: 99%

Section: Numerical Simulation Of Electromagnetic Wave Propagation In ...mentioning

confidence: 99%

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High-Frequency Electrodynamics of Slow Moving Media Taking into Account the Specular Reflection

Grinchik

Boiprav

2021

AEM

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“…[7] [19], the following conditions are met at the interface ofadjacent media: − the equality of the normal components of the total current; − the equality of tangential projections of the electric field vortex; − the conservation of electric charge; − the equality of the tangential components of the electric field and their derivatives in the tangential direction; − the equality of the derivatives of the normal components of the total current in the direction tangential to the interface of adjacent media, with account for the influence of surface currents without the introduction of a surface charge σ . Thus, in each section of the layered medium, a numerical solution requires a use of through-counting schemes and, at the same time, sampling of the medium in such a way that the boundaries of layers could have common nodes.…”

mentioning

confidence: 99%

Regularities of Nanofocusing of the Electromagnetic Field of a Fractal Rough Surface

Grinchik¹,

Zayats²,

Boiprav³

et al. 2019

JEMAA

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A consistent physical and mathematical model of the propagation of electromagnetic waves in an inhomogeneous medium with strong discontinuities of the electromagnetic field at the interface of two media, which is a rough surface, was developed. Mathematical modeling of rough surfaces and their profiles was carried out using fractal geometry, which allows us to display the topology of the object as close as possible to reality. For real heterogeneous rough structures, we have developed a through-counting method that takes into account the continuity of the total current at the interfaces of adjacent media, the effect of induced surface charge and surface current. This approach lets one avoid the necessity to set surface impedances depending on the structure of the field being determined and on the material properties.

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Modeling the Interaction of Solit-Like Pulse Signals with Electromagnetic Shields in the Form of Heterogeneous Media

Aliseyko

Boiprav

Grinchik

et al. 2020

ECS

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Modeling of electromagnetic radiation interaction with electromagnetic shields is an important problem that is solved during their development. By solving this problem, as a rule, it is possible to reduce the time and financial costs necessary to obtain electromagnetic shields, characterized by the required electromagnetic radiation attenuation and reflection coefficient. Currently, electromagnetic shields are usually developed in the form of heterogeneous media, which is due to lower the values of electromagnetic radiation reflection coefficient of such shields in comparison with the shields in the form of homogeneous media made in the form of continuous materials sheets. The authors of the article have proposed a new approach to modeling of electromagnetic radiation interaction with electromagnetic shields in the form of heterogeneous media. This approach is based on the use of difference schemes of end-to-end counting without explicitly distinguishing the interface between adjacent media, fulfilling the conditions of equality of full currents and charge flows on this boundary, and also on describing electromagnetic waves in the form of soliton-like signals, characterized by a greater penetration depth compared to other waves used in currently in the process of modeling (rectangular, sawtooth, etc). When using soliton-like signals that take into account broadening of spectral lines, the matching conditions for the first initial-boundary-value problem are satisfied. The existing software packages for electrodynamic tasks solving don’t take into account the matching conditions. On the base of the proposed approach, using the COMSOL Multiphysics software package, the authors first simulated the electromagnetic radiation interaction with a silver-based shield, the surface of which is rough and characterized by roughness sizes significantly smaller than the length of electromagnetic waves interacting with them, and with a shield in the form of a copper plate, the surface of which has slots, diameters and the depth of which is much less than the length of the electromagnetic waves interacting with them. The selection of these objects of study is due to the wide use of copper and silver for the electromagnetic shields manufacture, as well as the prospects for the development of shields formation technology, which consists in the heterogenization of the solid sheet metal materials surface.

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Non-Monochromatic Electromagnetic Radiation of Inhomogeneous Media

Cited by 3 publications

References 10 publications

High-Frequency Electrodynamics of Slow Moving Media Taking into Account the Specular Reflection

High-Frequency Electrodynamics of Slow Moving Media Taking into Account the Specular Reflection

Regularities of Nanofocusing of the Electromagnetic Field of a Fractal Rough Surface

Modeling the Interaction of Solit-Like Pulse Signals with Electromagnetic Shields in the Form of Heterogeneous Media

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