Phase and Group Velocities of Electromagnetic Waves in a Monoclinic Crystal

Tleukenov, S. K.; Zhalgasbekova, Z. K.; Sirenko, Yurii Konstantinovich

doi:10.1615/telecomradeng.v78.i1.10

Cited by 3 publications

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“…Based on the presentation of decisions: ( , , , (3) the system of equations (1) is reduced to the matrix equation [12][13][14][15][16][17][18] ;…”

Section: Matrix Equationmentioning

confidence: 99%

“…In the framework of the matrix method in the case of homogeneous media, the equations of the surface of wave vectors can be determined from the condition [12][13][14]16]. Here I is the identity matrix.…”

Section: Matrix Equationmentioning

confidence: 99%

“…Moreover, the study of the laws of electromagnetic wave processes taking into account the anisotropy of the dielectric and magnetic permeability tensors shows their significantly different influence on the propagation of TE and TM polarization waves [12][13][14].…”

Section: Introductionmentioning

confidence: 99%

“…Formulas (18)-(23) have the form of Fresnel formulas[1][2][3]. The difference lies in obtaining values k based on indicatrixes of wave vectors in an anisotropic medium[12][13][14]. From (19) follows the equation of the indicatrix k…”

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confidence: 99%

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Laws of reflection and refraction of TE and TM polarization waves on the border of rhombic crystals

Tleukenov¹,

Balabekov²,

Zhalgasbekova³

2020

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The article analytically solves the problem of reflection and refraction of electromagnetic plane waves of different polarization at the boundary of anisotropic half-spaces of rhombic symmetry. Based on the matrix method, the angles of refraction of electromagnetic waves of different polarization, the amplitudes of the reflected and refracted waves, the angles that determine the direction of the group velocities and vectors of the flow of electromagnetic energy, the magnitudes of the flows of electromagnetic energy and their components depending on the direction of the wave vector of the incident wave are determined. The determination of the angles of total internal reflection and the refractive index of electromagnetic waves of different polarization is considered. A significantly different dependence of the kinematic and energy characteristics of electromagnetic waves of different polarization on the anisotropy of the magnetic and dielectric tensors is shown. For electromagnetic waves, the polarization of which is determined by the component of the electric tension vector perpendicular to the wave propagation plane (TE wave), the characteristics of the reflected and refracted waves, the velocity indicatrix, the propagation angles, etc. determined primarily by the components of the magnetic permeability tensor. In the case of electromagnetic waves, when the polarization is determined by the component of the magnetic field (TM wave), perpendicular to the plane of wave propagation, all characteristics depend mainly on the components of the dielectric constant. The validity of the Fresnel formulas for determining the coefficients of reflected and refracted waves at the boundary of anisotropic media of rhombic symmetry is shown. However, in this case, the components of the wave vectors included in the Fresnel formulas are determined by their indicatrices. In addition, it is necessary to take into account the dependence of these components on the angle of refraction in the second medium

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“…Based on the presentation of decisions: ( , , , (3) the system of equations (1) is reduced to the matrix equation [12][13][14][15][16][17][18] ;…”

Section: Matrix Equationmentioning

confidence: 99%

Section: Matrix Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

See 2 more Smart Citations

Laws of reflection and refraction of TE and TM polarization waves on the border of rhombic crystals

Tleukenov¹,

Balabekov²,

Zhalgasbekova³

2020

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On the measurements of magnetic nanoparticle concentration in a biological medium using a superconducting quantum magnetometer

Бондаренко

Аврунін

Бондаренко

et al. 2020

Low Temperature Physics

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Magnetic nano-particles are used in medicine both as medical means, and for the transport of medicines in the pathological area of an organism. Simultaneous influence on these particles of ultrasonic radiation and a constant magnetic field allows summarising a magnetic field of an nano-particles ensemble to the value, sufficient for its registration by the remote magnetic detector. The parity connecting the measured magnetic flux of the nanoparticles with parameters of the particles, ultrasound, and the measuring system using as the magnetic detector superconducting quantum magnetometer is received. Calculations have shown, that such a system can measure a concentration of the nano-particles in colloidal solution, modeling the biological medium, in the unattainable earlier dynamic range of values (from 1 vol % to 10−7 vol %).

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Angles of Refraction and Directions of Group Velocity Vectors of TE and TM Polarization Waves at the Interface between an Isotropic Medium and a Semi-Space with the Magnetoelectric Effect

Tleukenov

Suierkulova

Mozhaev

2020

Bull. Russ. Acad. Sci. Phys.

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Phase and Group Velocities of Electromagnetic Waves in a Monoclinic Crystal

Cited by 3 publications

References 0 publications

Laws of reflection and refraction of TE and TM polarization waves on the border of rhombic crystals

Laws of reflection and refraction of TE and TM polarization waves on the border of rhombic crystals

On the measurements of magnetic nanoparticle concentration in a biological medium using a superconducting quantum magnetometer

Angles of Refraction and Directions of Group Velocity Vectors of TE and TM Polarization Waves at the Interface between an Isotropic Medium and a Semi-Space with the Magnetoelectric Effect

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