Article
Article name Computation of the Amplitude and Phase of a Plane Electromagnetic Wave, Reflected from the Interface between Media in the Presence of a Nanostructured Heterogeneous, Moistened Dispersed or Diamagnetic Layer
Authors Lukyanov P.Y. , lukyanovpu@yandex.ru
Gurulev A.A. Candidate of Physics and Mathematics Science, Senior Researcher,, lgc255@mail.ru
Tsyrenzhapov S.V. Junior Researcher, lgc255@mail.ru
Bibliographic description Lukyanov P. Yu.,Gurulev A. А. Tsyrenzhapov S. V. Computation of the Amplitude and Phase of a Plane Electromagnetic Wave, Reflected from the Interface between Media in the Presence of a Nanostructured Heterogeneous, Moistened Dispersed or Diamagnetic Layer // Scholarly Notes of Transbaikal State University. 2021. Vol. 16, No. 3. PP. 75-88. DOI: 10.21209/2308-8761-20121-16-3-75-88.
Section PROBLEMS OF MATHEMATICAL PHYSICS. ANALYTICAL METHODS
UDK 556.5.07; 556.047
DOI 10.21209/2308-8761-2021-16-4-75-88
Article type
Annotation The paper presents the formulas for calculating the amplitude and phase of a plane electromagnetic wave reflected from the interface in the presence of a transition layer, taking into account specific effects in the case of nanostructured heterogeneous and moistened dispersed media, including near critical temperatures at Widom-line. In contrast to the well-known solutions for similar systems, the derivation is based on the symmetric form of Fresnel formulas, which allows to take into account the influence of magnetic effects in the transition layer on the amplitude and phase of the reflected wave. The final formulas are adapted for carrying out calculations in the systems MathCad, MathLab and for programming the algorithm in high- level languages (C, Pascal, etc.), allowing the code to be structured as functions and the string notation of algebraic expressions.
Key words dielectric permeability, magnetic permeability, Fresnel formulas, interface, nanostructured heterogeneous medium, wet dispersion medium
Article information
References 1. Lukyanov, Р. Yu., Tsyrenzhapov, S. V., Kharin, Yu. V., Schegrina, K. A. Peculiarities of using Freyen^ formulas for calculating the amplitude and phase of refracted and reflected plane electromagnetic waves at the interface of nanostructured heterogeneous and humidified dispersed waters. ZabGU Scientific Notes, no. 4, p. 118-126, 2018. (In Engl.) 2. Klepikov I. N., Sharkov E. A. Thermal radiation of layered inhomogeneous non-isothermal media. M: IKI, Pr-801. (In Rus.) 3. Hippel A. R. Dielectrics and waves. M: IL, 1960. (In Rus.) 4. Matzler, C. Eddy currents in heterogeneous mixtures. J. of Electromagnetic Waves and application, no. 5/6, pp. 473—479, 1998. (In Engl.) 5. Nikolsky, V. V., Nikolskaya, T. I. Electrodynamics and radio wave propagation. M: Science, 1989. (In Rus.) 6. Stratton, J. The theory of magnetism. M: GTII, 1948. (In Rus.) 7. Gurulev, A. A., Orlov, A. 0., Tsyrenzhapov, S. V. Thermal radiation of a three-layer medium with a thin intermediate layer. Exploration of the Earth from space, no. 4, p. 5-11, 2011. (In Rus.) 8. Bordonsky, G. S., Gurulev, A. A., Krylov, S. D. Reasons for the change in the phase of the reflection coefficient from the air-ice interface in the microwave range. Proceedings of universities. Radiophysics, no. 3, pp. 260-266, 2009. (In Rus.) 9. Bordonsky, G. S., Orlov, A. O. Investigation of ferroelectric phase transitions of water in nanoporous silicates with joint electrical noise and calorimetric measurements. Solid State Physics, no. 8, p. 1575, 2014. (In Rus.) 10. Landau, L. D., Lifshits, E. M. Continuous media electrodynamics. M: Nauka, 1982. (In Rus.)
Full articleComputation of the Amplitude and Phase of a Plane Electromagnetic Wave, Reflected from the Interface between Media in the Presence of a Nanostructured Heterogeneous, Moistened Dispersed or Diamagnetic Layer