scholarly journals Normal waves in the electromagnetic metachiral isotropic medium with losses

2020 ◽  
pp. 38-43
Author(s):  
V.V. Fisanov ◽  
◽  
◽  
Keyword(s):  
Dielectric Permittivity ◽  
Magnetic Permeability ◽  
Isotropic Medium ◽  
Electromagnetic Waves ◽  
Wave Type ◽  
Normal Waves ◽  
Wave Numbers ◽  
Chirality Parameter ◽  
Analytical Expressions ◽  
Special Parameter

Plane electromagnetic waves in an isotropic absorbing chiral medium (chiral metamaterial) are considered. A system of constitutive Drude - Born - Fedorov relations with complex values of the dielectric permittivity, magnetic permeability, and the chirality parameter is used. A distinction is made between forward and backward normal waves by introducing a special parameter - the wave type identifier. Analytical expressions for real and imaginary parts of wave numbers of homogeneous normal waves are presented.

scholarly journals Oblique propagation of electromagnetic waves in a slowly-varying non-isotropic medium

1936 ◽  
Vol 155 (885) ◽  
pp. 235-257 ◽  
Keyword(s):  
Magnetic Field ◽  
Differential Equations ◽  
Electron Density ◽  
Isotropic Medium ◽  
Electromagnetic Waves ◽  
Mathematical Theory ◽  
Stratified Medium ◽  
Oblique Propagation ◽  
Isotropic Media ◽  
Mathematical Justification

The influence of the earth’s magnetic field on the propagation of wireless waves in the ionosphere has stimulated interest in the problem of the propagation of electromagnetic waves through a non-isotropic medium which is stratified in planes. Although the differential equations of such a medium have been elegantly deduced by Hartree,f it appears that no solution of them has yet been published for a medium which is both non-isotropic and non-homogeneous. Thus the work of Gans and Hartree dealt only with a stratified isotropic medium, while in the mathematical theory of crystal-optics the non-isotropic medium is always assumed to be homogeneous. In the same way Appleton’s magneto-ionic theory of propagation in an ionized medium under the influence of a magnetic field is confined to consideration of the “ characteristic ”waves which can be propagated through a homogeneous medium without change of form. In applying to stratified non-isotropic media these investigations concerning homogeneous non-isotropic media difficulty arises from the fact that the polarizations of the characteristic waves in general vary with the constitution of the medium, and it is not at all obvious that there exist waves which are propagated independently through the stratified medium and which are approximately characteristic at each stratum. The existence of such waves has usually been taken for granted, although for the ionosphere doubt has been cast upon this assumption by Appleton and Naismith, who suggest that we might “ expect the components ( i. e ., characteristic waves) to be continually splitting and resplitting”, even if the increase of electron density “ takes place slowly with increase of height”. It is clear that, until the existence of independently propagated approximately characteristic waves has been established, at any rate for a slowly-varying non-isotropic medium, no mathematical justification exists for applying Appleton's magnetoionic theory to the ionosphere. It is with the provision of this justification that we are primarily concerned in the present paper. This problem has been previously considered by Försterling and Lassen,f but we feel that their work does not carry conviction because they did not base their calculations on the differential equations for a non-homo-geneous medium, and were apparently unable to deal with the general case in which the characteristic polarizations vary with the constitution of the medium.

scholarly journals Electromagnetic Waves Through Disordered Systems: Comparison of Intensity, Transmission and Conductance

2001 ◽  
Vol 694 ◽  
Author(s):  
Fredy R Zypman ◽  
Gabriel Cwilich
Keyword(s):  
Probability Distribution ◽  
Disordered Systems ◽  
Electromagnetic Waves ◽  
Delta Function ◽  
Rayleigh Distribution ◽  
Dirac Delta Function ◽  
Universal Form ◽  
Dirac Delta ◽  
Diffusive Regime ◽  
Analytical Expressions

AbstractWe obtain the statistics of the intensity, transmission and conductance for scalar electromagnetic waves propagating through a disordered collection of scatterers. Our results show that the probability distribution for these quantities x, follow a universal form, YU(x) = xne−xμ. This family of functions includes the Rayleigh distribution (when α=0, μ=1) and the Dirac delta function (α →+ ∞), which are the expressions for intensity and transmission in the diffusive regime neglecting correlations. Finally, we find simple analytical expressions for the nth moment of the distributions and for to the ratio of the moments of the intensity and transmission, which generalizes the n! result valid in the previous case.

scholarly journals Dielectric Function of a Quantum-Confined Thin Film with a Modified Pöschel–Teller Potential

2018 ◽  
Vol 63 (12) ◽  
pp. 1109 ◽  
Author(s):  
Kh. A. Gasanov ◽  
J. I. Guseinov ◽  
I. I. Abbasov ◽  
F. I. Mamedov ◽  
D. J. Askerov
Keyword(s):  
Dielectric Permittivity ◽  
Electron Gas ◽  
Two Dimensional ◽  
Quantum Nanostructures ◽  
Carrier Scattering ◽  
Scattering Potential ◽  
Quantum Confined ◽  
Charge Carrier Scattering ◽  
First Time ◽  
Analytical Expressions

The spatial and time dispersions of the dielectric permittivity of an electron gas in quasi-two-dimensional quantum nanostructures are studied. The screening of the charge-carrier scattering potential in a quantum-confined film with a modified P¨oschel–Teller potential is considered for the first time. Analytical expressions for the dielectric permittivity are obtained.

scholarly journals Propagation of electromagnetic waves in extremely dense media

2017 ◽  
Vol 32 (15) ◽  
pp. 1750081 ◽  
Author(s):  
Samina Masood ◽  
Iram Saleem
Keyword(s):  
Magnetic Permeability ◽  
Electromagnetic Waves ◽  
Chemical Potential ◽  
Longitudinal Component ◽  
Renormalization Scheme ◽  
Electromagnetic Properties ◽  
Electric Permittivity ◽  
Stellar Objects ◽  
Dense Media ◽  
Exotic Systems

We study the propagation of electromagnetic (EM) waves in extremely dense exotic systems with very unique properties. These EM waves develop a longitudinal component due to interactions with the medium. Renormalization scheme of QED is used to understand the propagation of EM waves in both longitudinal and transverse directions. The propagation of EM waves in a quantum statistically treatable medium affects the properties of the medium itself. The electric permittivity and the magnetic permeability of the medium are modified and influence the related behavior of the medium. All the electromagnetic properties of a medium become a function of temperature and chemical potential of the medium. We study in detail the modifications of electric permittivity and magnetic permeability and other related properties of a medium in the superdense stellar objects.

scholarly journals Maxwell’s Equations in Anisotropic Media and Carnot Groups as Variational Limits

2015 ◽  
Vol 15 (2) ◽  
Author(s):  
Annalisa Baldi ◽  
Bruno Franchi
Keyword(s):  
Dielectric Permittivity ◽  
Euclidean Space ◽  
Magnetic Permeability ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Carnot Group ◽  
Carnot Groups ◽  
Anisotropic Dielectric ◽  
Variational Functional ◽  
Simply Connected

AbstractLet G be a free Carnot group (i.e. a connected simply connected nilpotent stratified free Lie group) of step 2. In this paper, we prove that the variational functional generated by “intrinsic” Maxwell’s equations in G is the Γ-limit of a sequence of classical (i.e. Euclidean) variational functionals associated with strongly anisotropic dielectric permittivity and magnetic permeability in the Euclidean space.

Double passage of electromagnetic waves through magnetized plasma: approximation of independent normal waves

Open Physics ◽  
2010 ◽  
Vol 8 (3) ◽  
Author(s):  
Yury Kravtsov ◽  
Bohdan Bieg
Keyword(s):  
Electromagnetic Wave ◽  
Characteristic Feature ◽  
Electromagnetic Waves ◽  
Polarization State ◽  
Normal Modes ◽  
Practical Interest ◽  
Magnetized Plasma ◽  
Fast Wave ◽  
Circularly Polarized ◽  
Normal Waves

AbstractPolarization properties of electromagnetic waves, double-passed through magnetized plasma, are studied. Analyses are performed in the case of non-interacting normal modes, propagating in homogeneous and weakly inhomogeneous plasmas, and for three kinds of reflectors: metallic plane, 2D corner retro-reflector (2D-CR), and cubic corner retro-reflector (CCR). It is shown that an electromagnetic wave, reflected from a metallic plane and from a CCR, contains only “velocity-preserving” channels, whose phases are doubled in comparison with those of a single-passage propagation. At the same time, an electromagnetic wave reflected from a 2D-CR is shown to contain both “velocity-preserving” and “velocity-converting” channels, the latter converting the fast wave into the slow one and vice-versa. One characteristic feature of “velocity-converting” channels is that they reproduce the initial polarization state near the source, which might be of practical interest for plasma interferometry. In the case of circularly polarized modes, “velocity-preserving” channels completely disappear, and only “velocity-converting” channels are to be found.

scholarly journals Analytical expressions for spectral dependences of silver, gold, copper and aluminum dielectric permittivity

2020 ◽  
Vol 50 (2) ◽  
Author(s):  
Volodymyr Fitio ◽  
Iryna Yaremchuk ◽  
Oleksandr Vernyhor ◽  
Yaroslav Bobitski
Keyword(s):  
Experimental Data ◽  
Dielectric Permittivity ◽  
Spectral Range ◽  
Measurement Methods ◽  
Specific Function ◽  
Wide Spectral Range ◽  
Valid Data ◽  
Production Techniques ◽  
Analytical Expressions ◽  
Several Intervals

In this work, the analytical expressions describing experimental data of silver, gold, copper and aluminum dielectric permittivity in a wide spectral range are presented. A comparison of samples production techniques, the measurement methods and the experimental data of different authors led to the conclusion that the most valid data are given by McPeak et al. (ACS Photonics 2(3), 2015, pp. 326–333) and Babar et al.(Appl. Opt. 54(3), 2015, pp. 477–481), which are close to each other. Thus, the analytical expressions for silver, gold, copper and aluminum dielectric permittivity spectral dependences are based on it. The spectral range in which the dielectric permittivity is represented by the corresponding analytical expression is divided into several intervals. There is a specific function for each wavelength range.

scholarly journals Mathematical modeling of the electromagnetic fields interaction with small dispersed particles of different geometry and its dynamics.

2014 ◽  
Vol 2014 (3) ◽  
pp. 127-130
Author(s):  
Олег Калуцков ◽  
Oleg Kalutskov ◽  
Людмила Уварова ◽  
Lyudmila Uvarova
Keyword(s):  
Mathematical Modeling ◽  
Molecular Dynamics ◽  
Dielectric Permittivity ◽  
Electromagnetic Waves ◽  
Water Clusters ◽  
Small Particles ◽  
Dispersed Particles ◽  
Electric And Magnetic Fields ◽  
Molecular Dynamics Methods ◽  
Waves Interaction

The model of the electromagnetic waves interaction with small particles and clusters is proposed in the case when the dielectric permittivity of the material depends both on the electric and magnetic fields. We consider the class of the differential equations solutions that is obtained in the framework of the model and allows take into account the geometric structure of the small dispersed particles or clusters. The motion and precipitation of water clusters in narrow tubes is investigated by molecular dynamics methods.

The effect of boundaries on wave propagation in a liquid-filled porous solid: III. Reflection of plane waves at a free plane boundary (general case)

1962 ◽  
Vol 52 (3) ◽  
pp. 595-625 ◽  
Author(s):  
H. Deresiewicz ◽  
J. T. Rice
Keyword(s):  
Electromagnetic Waves ◽  
Plane Waves ◽  
Body Waves ◽  
Porous Solid ◽  
Plane Boundary ◽  
Field Equations ◽  
Attenuation Coefficients ◽  
Reflected Waves ◽  
Three Body ◽  
Analytical Expressions

abstract A general solution is derived of Biot's field equations governing small motions of a porous solid saturated with a viscous liquid. The solution is then employed to study some of the phenomena attendant upon the reflection from a plane, traction-free boundary of each of the three body waves predicted by the equations. The problem, though more complex, bears some similarity to that of electromagnetic waves in a conducting medium, in that some of the reflected waves are inhomogeneous, planes of constant amplitude not coinciding with planes of constant phase. Analytical expressions are displayed for the phase velocities, attenuation coefficients, angles of reflection and the amplitude ratios, and explicit formulas are given for the limiting cases of low and high frequencies, representing first-order corrections for porosity of the solid and viscosity of the liquid, respectively. The paper concludes with a presentation of results of numerical calculations pertinent to a kerosene-saturated sandstone.

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