Zhurnal Radioelektroniki - Journal of Radio Electronics. eISSN 1684-1719. 2023. №1
ContentsFull text in Russian (pdf)
DOI: https://doi.org/10.30898/1684-1719.2023.1.3
GENERALIZED IMPEDANCE METHOD
FOR CALCULATION REFLECTION AND PASSAGE OF WAVES
THROUGH MULTI-LAYER STRUCTURE.
PART 3. INCIDENCE OF WAVE ON THE STEPPED INCREASING BARRIER
I.V. Antonets 1, V.G. Shavrov 2, V.I. Shcheglov 2
1 Syktyvkar State University
167001, Russia, Syktyvkar, Oktyabr'skij pr-t, 55
2 Kotelnikov IRE RAS, 125009, Russia, Moscow, Mokhovaya, 11, b. 7
The paper was received September 27, 2022.
Abstract. The application of generalized impedance method in the variant of successive calculation of amplitude for calculation of coefficients of reflection, passage and absorption in the case of wave incidence on multi-layer structure is investigated. The slide configuration of structure is established as barrier which wave number is distributed in slides by stepped increasing manner. The forming of vibrations amplitude by different length of structure is investigated. It is shown that in the case when length of structure is less then half of maximum wave length the distribution of wave amplitude along the structure is monotony increased or decreased. In the case when length of structure is more then half of maximum wave length the distribution of wave amplitude along the structure is oscillated. The period of these oscillations is equal to the half of maximum wave length. For the medium without of dissipation the coefficient of reflection by changing of structure length is investigated. It is found the dependencies of reflection coefficient from the structure length by different meanings of maximum wave length. The coefficient of passage of wave by the changing of structure length is investigated. The reflection, passing and absorption of waves in stepped increased structure which slides have positive dissipation is investigated. It is shown that in this case the medium becomes absorbed and when the structure length is increased the absorption coefficient is also increased. The reflection, passing and absorption in medium with negative dissipation is investigated. It is mentioned that in the frame of energy balance maintained the increasing of reflection, passage and absorption by the increasing of structure length demands the additional energy from external source which in lasers is the pumping source.
Key words: wave propagation, multi-layers structure, impedance.
Financing: The work was carried out within the framework of the state assignment of the Kotelnikov Institute of Radio Engineering and Electronics of the Russian Academy of Sciences.
Corresponding author: Shcheglov Vladimir Ignat'evich, vshcheg@cplire.ru
References
1. Khvolson O.D. Kurs fiziki, T.2. [Corse of physics, Part 2]. Berlin, Gosizdat RSFSR. 1923. 776 p. (In Russian)
2. Born M., Wolf E. Principles of optics. Oxford, London, Edinburgh, New York, Paris, Frankfurt, Pergamon Press. 1964. 325 p.
3. Brekhovsky L.M. Volny v sloistykh sredakh [Waves in layer media]. Moscow, Nauka. 1973. 501 p. (In Russian)
4. Landsberg G.S. Optika [Optics]. Moscow, Nauka. 1976. 928 p. (In Russian)
5. Paul R.V. Vvedenie v optiku [Introduction to the optics]. Moscow-Leningrad, Gosudarstvennoe izdatel'stvo tekhniko-teoreticheskoj literatury. 1947. 484 p. (In Russian)
6. Kizel V.A. Otrazhenie sveta [Reflection of light]. Moscow, Nauka. 1973. 352 p. (In Russian)
7. Brekhovsky L.M., Godin O.A. Akustika sloistykh sred [Acoustic of layer media]. Moscow, Nauka. 1989. 416 p. (In Russian)
8. Rozenberg G.V. Optika tonkoslojnykh pokrytij [Optics of thin-layer surface]. Moscow, Gosudarstvennoe izdatel'stvo tekhniko-teoreticheskoj literatury. 1958. 570 p. (In Russian)
9. Oksanen M.I., Hanninen J., Tretyakov S.A. Vector circuit method for calculating reflection and transmission of electromagnetic waves in multilayered chiral structures. IEEE Proceedings. H. 1991. V.138. №7. P.513-520.
10. Sarychev A.K., Bergman D.J., Yagil Y. Theory of the optical and microwave properties of metal-dielectric films. PR(B). 1995. V.51. №8. P.5366-5385.
11. Kozar’ A.V. Optical properties of aperiodic thin layer structures: effective refraction index. Vestnik Moskovskogo Universiteta. Seriya 3. Fizika. Astronomiya [Moscow University Physics Bulletin. Series 3. Physics. Astronomy]. 2009. V.64. №3. P.54-56. (In Russian)
12. Kozar’ A.V. Optical properties of aperiodic thin-layer structures: The effective optical thickness. Vestnik Moskovskogo Universiteta. Seriya 3. Fizika. Astronomiya [Moscow University Physics Bulletin. Series 3. Physics. Astronomy]. 2018. V.73. №6. P.61-66. (In Russian)
13. Brillouin L., Parodi M. Rasprostranenie voln v periodicheskikh strukturakh [Wave propagation in periodic structure]. Moscow, Izdatel'stvo inostrannoj literatury. 1959. 457 p. (In Russian)
14. Shavrov V.G., Shcheglov V.I. Magnitostaticheskie i ehlektromagnitnye volny v slozhnykh strukturakh [Magnetostatic and electromagnetic waves in complex structures]. Moscow, Fizmatlit. 2017. 358 p. (In Russian)
15. Tihonov A.N., Samarsky A.A. Uravneniya matematicheskoj fiziki [Equations of mathematical physics]. Moscow, Nauka. 1972. 736 p. (In Russian)
16. Antonets I.V., Shcheglov V.I. Rasprostranenie voln cherez tonkie sloi i plenki [Propagation of waves through thin layers and films]. Syktivkar, SyktSU. 2010. 132 p. (In Russian)
17. Antonets I.V., Shcheglov V.I. Rasprostranenie voln cherez mnogoslojnye struktury. Chast' pervaya. Pryamoj metod [Propagation of waves through multi-layer structure. Part first. Direct method]. Syktivkar, SyktSU. 2011. 132 p. (In Russian)
18. Antonets I.V., Shcheglov V.I. Rasprostranenie voln cherez mnogoslojnye struktury Chast' vtoraya. Metod matricy [Propagation of waves through multi-layer structure. Part second. Matrix method]. Syktivkar, SyktSU. 2012. 123 p. (In Russian)
19. Antonets I.V., Shcheglov V.I. Rasprostranenie voln cherez mnogoslojnye struktury Chast' tret'ya. Metod impedansa [Propagation of waves through multi-layer structure. Part third. Impedance method]. Syktivkar, SyktSU. 2012. 123 p. (In Russian)
20. Antonets I.V., Shavrov V.G., Shcheglov V.I. Matrix algorithm for calculating reflection and transmission coefficients when two oncoming waves fall on a multilayer structure. Radiotekhnika i ehlektronika [Radio engineering and electronics]. 2022. V.67. №9. P.908-915. (In Russian)
21. Antonets I.V., Shavrov V.G., Shcheglov V.I. Algorithmic calculation method of wave reflection and passage through multi-layer structure. Part 1. Matrix algorithm. Zhurnal radioelektroniki [Journal of Radio Electronics] [online]. 2022. №8. https://doi.org/10.30898/1684-1719.2022.8.8 (In Russian)
22. Antonets I.V., Shavrov V.G., Shcheglov V.I. Algorithmic calculation method of wave reflection and passage through multi-layer structure. Part.2. Incidence of wave on the inclined barrier. Zhurnal radioelektroniki [Journal of Radio Electronics] [online]. 2022. №8. https://doi.org/10.30898/1684-1719.2022.8.9 (In Russian)
23. Antonets I.V., Shavrov V.G., Shcheglov V.I. Generalized impedance method for calculation reflection and passage of waves through multi-layer structure. Part 1. Successive calculation of impedances and amplitudes. Zhurnal radioelektroniki [Journal of Radio Electronics] [online]. 2023. №1. https://doi.org/10.30898/1684-1719.2023.1.1 (In Russian)
24. Antonets I.V., Shavrov V.G., Shcheglov V.I. Generalized impedance method for calculation reflection and passage of waves through multi-layer structure. Part 2. Incidence of wave on rectangular barrier. Zhurnal radioelektroniki [Journal of Radio Electronics] [online]. 2023. №1. https://doi.org/10.30898/1684-1719.2023.1.1 (In Russian)
25. Antonets I.V., Shcheglov V.I. Rasprostranenie voln cherez mnogoslojnye struktury. Chast' sed'maya. Balans ehnergij [Wave propagation through multilayer structures. Part seven. Energy balance]. Syktyvkar, SyktSU. 2015. 108 p. (In Russian)
26. Antonets I.V., Kotov L.N., Shavrov V.G., Shcheglov V.I. Energy characteristics of wave propagation through boundary between media with complex parameters. Radiotekhnika i ehlektronika [Radio engineering and electronics]. 2009. V.54. №10. P.1171-1183.
27. Nikolsky V.V., Nikolskaya T.I. Ehlektrodinamika i rasprostranenie radiovoln [Electrodynamics and propagation of radio waves]. Moscow, Nauka. 1989. 544 p. (In Russian)
28. Harkevich A.A. Osnovy radiotekhniki [Fundamentals of radio engineering]. Moscow, Fizmatlit. 2007. 512 p. (In Russian)
For citation:
Antonets I.V., Shavrov V.G., Shcheglov V.I. Generalized impedance method for calculation reflection and passage of waves through multi-layer structure. Part 3. Incidence of wave on the stepped increasing barrier. Zhurnal radioelektroniki [Journal of Radio Electronics] [online]. 2023. №1. https://doi.org/10.30898/1684-1719.2023.1.3 (In Russian)