scholarly journals Особенности распространения стоячих электромагнитных и электронных волн в металлическом проводнике с электрическим переменным током проводимости

2021 ◽  
Vol 57 (6) ◽  
pp. 72-78
Author(s):  
М. И. Баранов ◽  
Keyword(s):  
Magnetic Field ◽  
Electric Field ◽  
Electromagnetic Waves ◽  
Average Velocity ◽  
Axial Flow ◽  
Electromagnetic Energy ◽  
Azimuthal Magnetic Field ◽  
Metallic Conductor ◽  
Velocity Of Propagation ◽  
Basic Features

The paper demonstrates the results of approximate calculations on the establishment of basic features of the propagation of standing transversal electromagnetic waves (EMWs) and standing longitudinal de Broglie electronic waves in a homogeneous not massive non-magnetic metallic conductor of finite dimensions (the radius r0 and the length l0 >>r0) with the alternating axial-flow current of conductivity of i0(t) of different peak-temporal parameters. The correlation for the rated estimation of the average velocity of propagation of the standing transversal EMWs and standing longitudinal de Broglie electronic waves in a metal (alloy) of the indicated conductor is presented. It is shown that quantized standing transversal EMWs arising in a metallic conductor of finite dimensions substantially differ from ordinary transversal EMWs, propagated in the conducting environments of unlimited dimensions. An important feature of the standing transversal EMWs in the examined conductor is the fact that their tension of an axial-flow electric-field advances by a phase their tension of an azimuthal magnetic-field on the corner of π/2. It was established that in the standing transversal EMWs of the used conductor the energy of their electric field only passes into the energy of their magnetic field and vice versa. Therefore the standing transversal EMWs do not transfer the flows of the electromagnetic energy on the surface of the studied conductor.

Electromagnetic Scattering: The Mie Solution

2017 ◽  
Author(s):  
John A. Adam
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Field ◽  
Electromagnetic Wave ◽  
Electric Field ◽  
Electromagnetic Scattering ◽  
Scattered Radiation ◽  
Electromagnetic Waves ◽  
Rayleigh Scattering ◽  
Electromagnetic Theory ◽  
Electromagnetic Energy

This chapter focuses on the mathematics underlying the scattering of electromagnetic waves. An electromagnetic wave is comprised of an electric field and a magnetic field, both of which are functions of time and space as the wave propagates. The direction of propagation and the directions of these fields form a mutually orthogonal triad. When an electromagnetic field encounters an electron bound to a molecule, the electron is accelerated by the electric field of the wave. An accelerated electron will also radiate electromagnetic energy in the form of waves in all directions (to some extent)—this is known as scattered radiation. The chapter first considers Maxwell's equations of electromagnetic theory before discussing the vector Helmholtz equation for electromagnetic waves, the Lorentz-Mie solution and its construction, the Rayleigh scattering limit, and the radiation field generated by a Hertzian dipole.

Using Compressibility and Electric Field to Characterize Circularly-Polarized Waves Near the Proton Cyclotron Frequency Observed by Solar Orbiter

2021 ◽  
Author(s):  
Yuri Khotyaintsev ◽  
Daniel B Graham ◽  
Konrad Steinvall ◽  
Andris Vaivads ◽  
Milan Maksimovic ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Solar Wind ◽  
Electric Field ◽  
Electromagnetic Waves ◽  
Cyclotron Frequency ◽  
Density Fluctuations ◽  
Background Magnetic Field ◽  
The Waves ◽  
The Magnetic Field ◽  
Proton Cyclotron

<p>We report Solar Orbiter observations of electromagnetic waves near the proton cyclotron frequency during the first perihelion. The waves have polarization close to circular and have wave vectors closely aligned with the background magnetic field. Such waves are potentially important for heating of the solar wind as their frequency and polarization allows effective energy exchange with solar wind protons. The Radio and Plasma Waves (RPW) instrument provides a high-cadence measurement of plasma density and electric field which we use together with the magnetic field measured by MAG to characterize these waves. In particular we compute the compressibility and the phase between the density fluctuations and the parallel component of the magnetic field, and show that these have a distinct behavior for the waves compared to the Alfvénic turbulence. We compare the observations to multi-fluid plasma dispersion and identify the waves modes corresponding to the observed waves. We discuss the importance of the waves for solar wind heating.</p>

Identities between reflexion and transmission coefficients and electric field components for certain anisotropic modes of oblique propagation

1971 ◽  
Vol 6 (2) ◽  
pp. 257-270 ◽  
Author(s):  
J. Heading
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Differential Equations ◽  
Electric Field ◽  
Electromagnetic Waves ◽  
Electric Polarization ◽  
Stratified Medium ◽  
Transmission Coefficients ◽  
Oblique Propagation ◽  
Integral Identities

A wide-ranging investigation is rendered possible by a judicious combination of products of electric field components and electric polarization components for two distinct modes of propagation of electromagnetic waves in an anisotropic, ionized, stratified medium. The differential equations, governing oblique propagation in these two distinct modes in such a medium, are combined to yield various integral identities when integrated throughout the medium. These lead to a large number of relations between the reflexion and transmission coefficients (for incidence from below and from above) and the fields throughout the medium, each containing as a factor just one of the components of the external magnetic field pervading the medium.

Cross-field plasma acceleration and potential formation induced by electromagnetic waves in a magnetized plasma

2001 ◽  
Vol 66 (3) ◽  
pp. 143-155 ◽  
Author(s):  
R. SUGAYA
Keyword(s):  
Magnetic Field ◽  
Particle Acceleration ◽  
Electric Field ◽  
Electromagnetic Waves ◽  
Collisionless Plasma ◽  
Magnetized Plasma ◽  
Propagating Waves ◽  
Potential Formation ◽  
Dynamo Effect ◽  
The Magnetic Field

A single-particle theory is developed to investigate particle acceleration along and across a magnetic field and the generation of an electric field transverse to the magnetic field induced by electromagnetic waves in a magnetized plasma. The almost perpendicularly propagating waves accelerate particles via their Landau and cyclotron damping, and the ratio of parallel and perpendicular drift velocities vs∥/vd can be proved to be proportional to k∥/k⊥. Simultaneously, an intense cross-field electric field E0 = B0×vd/c is generated via the dynamo effect owing to perpendicular particle acceleration to satisfy the generalized Ohm’s law. This means that this cross-field particle drift in a collisionless plasma is identical to E×B drift. It is verified that the transport equations obtained are exactly equivalent to those derived from the θ-dependent quasilinear velocity-space diffusion equation obtained from the Vlasov–Maxwell equations.

BIREFRINGENCE IN CRYSTALS AND IN THE IONOSPHERE

1954 ◽  
Vol 32 (1) ◽  
pp. 16-34 ◽  
Author(s):  
C. H. M. Turner
Keyword(s):  
Magnetic Field ◽  
Dielectric Constant ◽  
Electromagnetic Waves ◽  
Plane Waves ◽  
Diagonal Matrix ◽  
Effective Dielectric Constant ◽  
Normal Velocity ◽  
Electron Collisions ◽  
Velocity Of Propagation ◽  
The Magnetic Field

Propagation of plane electromagnetic waves in a homogeneous ionized gas in a uniform magnetic field is compared with the propagation of light in an optically inactive birefringent crystal. It is well known that propagation in a crystal may be described by using a system of real orthogonal axes for which the dielectric constant is given by a diagonal matrix. This paper shows that propagation of plane waves in the ionosphere may be described in a similar manner, the medium having an effective dielectric constant given by a diagonal matrix, provided that a system of "complex" orthogonal axes is used for the description of the components of the field vectors. This set of component axes (which is quite different from and not to be confused with coordinate axes) is equivalent to resolving the field vectors into components parallel to the magnetic field and two contrarotating circular components in a plane perpendicular to the magnetic field. An expression giving the velocity of each of the two modes of propagation in a given direction and expressions for the amplitude of each component of the field vectors are obtained (equations 43 and 44). Provided that one accepts the concept of a complex velocity of propagation, the results hold when electron collisions are included. When electron collisions are neglected, it is possible to form a double-sheeted surface, called the normal velocity surface, which is of some assistance in visualizing the manner in which the velocity of propagation of the plane waves in each mode changes with direction.

ASONIKA-EMC: modeling of electromagnetic processes in electronics designs

2020 ◽  
pp. 3-13
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Electric Field ◽  
Electromagnetic Waves ◽  
Electronic Devices ◽  
Functional Capabilities ◽  
Electromagnetic Processes ◽  
Electric And Magnetic Fields ◽  
Calculation Results ◽  
Intensity Magnetic Field

The information about the ASONIKA-EMC program, intended for calculating the distribution of electric and magnetic fields intensity inside and outside of the electronic devices housings, as well as for determining the ef¬fectiveness of shielding electric and magnetic fields at effect of the electromagnetic waves in the frequency range 10...30 000 MHz, is adduced. Functional capabilities are described, an example of calculation and analysis of calculation results is adduced. Keywords: radio engineering device; modeling; electric field; magnetic field; electric field intensity; magnetic field strength; shielding.

scholarly journals ANALYSES OF RADIATION OF ELECTROMAGNETIC WAVES IN THE HIGH-VOLTAGE AIR DUCT (150 kV) CONSTRUCTION ON HEALTH

2017 ◽  
Vol 3 (4) ◽  
pp. 152-159
Author(s):  
Erwin Azizi Jayadipraja
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Wave ◽  
Field Strength ◽  
Electric Field ◽  
Magnetic Field Strength ◽  
High Voltage ◽  
Electromagnetic Waves ◽  
Wave Radiation ◽  
Strength Analysis ◽  
The Government

Background: High-voltage air ducts is the government program to supply electricity needs. However, in practice, obstacles have been identified in the form of rejection from the community due to the outstanding issues that high-voltage air ducts have an impact on health.Aim: This research aims to analysis the magnitude of electromagnetic wave radiation of high-voltage air ducts construction on health.Methods: The study was conducted by measuring electromagnetic wave radiation prior to high-voltage air ducts (150 kV) construction and predicting the amount of radiation generated after this operation and its impact on health.Result: The field measurement result showed that the highest strength of magnetic field in the absence of construction and operation activity of high-voltage air ducts 150 kV was 0.00085 mT and the highest electric field was 0.004241251 V/m. The results of the magnetic field strength analysis showed that the highest strength of magnetic field and electric field when the high-voltage air ducts is completed and operated was magnetic field of 0.00415 mT and electric field of 38.4 V/m. The value was far lower than the standard limits recommended by IRPA / INIRC, WHO1990 and SNI 04-6950-2003. The allowed electric field strength is 5 kV / m and the allowed magnetic field strength is 0.1 mT.Conclusion: Electromagnetic wave radiation of High-Voltage Air Ducts is not exceeded the allowed limit, so it will not cause a direct risk to health.

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