Принцип створення квазіперіодичних поверхонь під дією вібраційної діелектричної матриці

Maksym Olehovych Zoziuk; Alexander Ivanovych Yurikov; Dmytro Volodymyrovych Koroliouk; Yuri Ivanovych Yakymenko

doi:10.20535/2523-4455.mea.202632

Vol. 25 · Issue 1 · 2020 Jun 6, 2020 Microsystems and Physical Electronics

The Principle of Creating Quasiperiodic Surfaces under the Action of a Vibrating Dielectric Matrix

Maksym Olehovych Zoziuk Corresponding Національний технічний університет України "Київський політехнічний інститут імені Ігоря Сікорського" Ukraine

Alexander Ivanovych Yurikov Національний технічний університет України "Київський політехнічний інститут імені Ігоря Сікорського" Ukraine

Dmytro Volodymyrovych Koroliouk Національний технічний університет України "Київський політехнічний інститут імені Ігоря Сікорського" Ukraine

Yuri Ivanovych Yakymenko Національний технічний університет України "Київський політехнічний інститут імені Ігоря Сікорського" Ukraine

Pages5-10 PublishedJun 6, 2020

PDF (Ukrainian)

VOL 25 · ISS 1 · 2020 View issue

Abstract

A method for creating metasurfaces using a standing wave, formed in a dielectric, is proposed. Such metasurfaces are formed from metal suspensions, are deposited on a dielectric plate, is placed in a metal frame-screen. A method of creating standing waves is presented. The Chladni`s principle is used for creating acoustic figures was taken as the basis. Mathematical description of this model is proposed, as well as the main research methods.

Keywords

#standing wave #metasurfaces #Chladni figures #discrete diffusion model

References

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Z. Liu, H. Zhong, H. Zhang, Z. Huang, G. Liu, X. Liu, G. Fu, C. Tang, “Silicon multi-resonant metasurface for full-spectrum perfect solar energy absorption,” Solar Energy, vol. 199, pp. 360–365, March 2020, DOI: 10.1016/j.solener.2020.02.053.
M. S. Islam, J. Sultana, M. Biabanifard, Z. Vafapour, M. J. Nine, A. Dinovitser, C. M. B. Cordeiro, B. W.-H. Ng, D. Abbott, “Tunable localized surface plasmon graphene metasurface for multiband superabsorption and terahertz sensing,” Carbon, vol. 158, pp. 559 – 567, March 2020, DOI: 10.1016/j.carbon.2019.11.026.
M. Faraday, “On a Peculiar Class of Acoustical Figures; and on Certain Forms Assumed by Groups of Particles upon Vibrating Elastic Surfaces,” Philosophical Transactions of the Royal Society of London, vol. 121, pp. 299–340, 1831, DOI: 10.1098/rspl.1830.0024.
M. Houssa, “High-k Gate Dielectrics”, CRC Press, 601 p., 2004, https://www.routledge.com/High-k-Gate-Dielectrics/Houssa/p/book/9780367454449 .
A. M. Prokhorov, "Fiziceskij encyklopediceskij slovar", Ed. Sovetskaya Encyclopedia, 1983, http://www.libex.ru/detail/book138229.html .
L. D. Landau, E. M. Lifshitz, “Course of Theoretical Physics. Electrodynamics of Continuous Media. 2nd edition,” Butterworth-Heinemann, vol. 8, pp. 460, 1979, https://www.sciencedirect.com/book/9780080302751/electrodynamics-of-continuous-media .
P. C. Clemmow, “An introduction to electromagnetic theory,” University Press. pp. 183., 1973, https://www.cambridge.org/ua/academic/subjects/physics/general-and-classical-physics/introduction-electromagnetic theory?format=PB&isbn=9780521098151.
V.L Kuznetsov, I.A. Simonova, A.I. Stadnichenko, A.V. Ishchenko, “Oxidation behavior of multiwall carbon nanotubes with different diameters and morphology”, Appl. Surf. Sci., vol. 12, pp. 258–298, 2012, DOI: 10.1016/j.apsusc.2012.03.021.
Tae-In Jeon, Joo-Hiuk Son, Kay Hyeok An, Young Hee Lee, and Young Seak Lee, Terahertz absorption and dispersion of fluorine-doped single-walled carbon nanotube. Journal of Applied Physics - v. 10.- p. 3-4, 1998, DOI: 10.1063/1.2001751.
A. C. Lasaga, R. T. Cygan, “Electronic and ionic polarizabilities of silicate minerals,” American Mineralogist, vol. 67, pp. 328–334, 1982, https://www.sandia.gov/geo/Pubs/Lasaga1982AM.pdf .
D. R. Lide CRC Handbook of Chemistry and Physics (87th ed.). Boca Raton, FL: CRC Press. 2006, https://academia.edu/33987940/Handbook_of_Chemistry_and_Physics_84th_David_R_Lide .
Y. V. Tolstobrov, N. A Manakov, M. V. Pletneva, “The phenomenon of thermal magnetization of highly anisotropic single crystals,” Tech. Phys. Lett., vol. 32, pp. 332 – 327, April 2006, DOI: 10.1134/S106378500604016X.
M. V. Strikha, A. I. Kurchak, A. N. Morozovska, “Influence of Domain Structure in Ferroelectric Substrate on Graphene Conductance,” (Authors' Review), Ukr. J. Phys, vol.63, pp. 49–69, 2018, DOI: 10.15407/ujpe63.01.0049.
D. Koroliouk, “Stationary statistical experiments and the optimal estimator for a predictable component,” Journal of Mathematical Sciences, vol. 214(2), pp. 220–228, 2016, https://www.dspace.nbuv.gov.ua/handle/123456789/140874 .
D. Koroliouk, V.S. Koroliuk, and N. Rosato, “Equilibrium Processes in Biomedical Data Analysis: The Wright–Fisher Model”, Cybernetics and Systems Analysis, vol. 50, n. 6, 890–897, 2014, DOI: 10.1007/s10559-014-9680-y
D. Koroliouk, “Statistical experiments in a balanced Markov random environment,” Cybernetics and Systems Analysis, vol. 51, pp. 766–771, 2015, DOI: 10.1007/s10559-015-9769-y.
D. Koroliouk, “The problem of discrete Markov diffusion leaving an interval”, Cybernetics and Systems Analysis, vol. 52, n. 4, 571-576. 2016, DOI: 10.1007/s10559-016-9859-5.
D. Koroliouk, “Two component binary statistical experiments with persistent linear regression,” Theory of Probability and Mathematical Statistics, vol. 90, pp. 103–114, 2015, DOI: 10.1090/tpms/952.

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[1] M. I. Hossaina, N. Yumnam, W. Qarony, A. Salleo, V. Wagner, D. Knipp, Y.H. Tsang, “Non-resonant metal-oxide metasurfaces for efficient perovskite solar cells”, Solar Energy, vol. 198, pp. 570–577, March 2020, DOI: 10.1016/j.solener.2020.01.082.

[2] Z. Liu, H. Zhong, H. Zhang, Z. Huang, G. Liu, X. Liu, G. Fu, C. Tang, “Silicon multi-resonant metasurface for full-spectrum perfect solar energy absorption,” Solar Energy, vol. 199, pp. 360–365, March 2020, DOI: 10.1016/j.solener.2020.02.053.

[3] M. S. Islam, J. Sultana, M. Biabanifard, Z. Vafapour, M. J. Nine, A. Dinovitser, C. M. B. Cordeiro, B. W.-H. Ng, D. Abbott, “Tunable localized surface plasmon graphene metasurface for multiband superabsorption and terahertz sensing,” Carbon, vol. 158, pp. 559 – 567, March 2020, DOI: 10.1016/j.carbon.2019.11.026.

[4] M. Faraday, “On a Peculiar Class of Acoustical Figures; and on Certain Forms Assumed by Groups of Particles upon Vibrating Elastic Surfaces,” Philosophical Transactions of the Royal Society of London, vol. 121, pp. 299–340, 1831, DOI: 10.1098/rspl.1830.0024.

[5] M. Houssa, “High-k Gate Dielectrics”, CRC Press, 601 p., 2004, https://www.routledge.com/High-k-Gate-Dielectrics/Houssa/p/book/9780367454449 .

[6] A. M. Prokhorov, "Fiziceskij encyklopediceskij slovar", Ed. Sovetskaya Encyclopedia, 1983, http://www.libex.ru/detail/book138229.html .

[7] L. D. Landau, E. M. Lifshitz, “Course of Theoretical Physics. Electrodynamics of Continuous Media. 2nd edition,” Butterworth-Heinemann, vol. 8, pp. 460, 1979, https://www.sciencedirect.com/book/9780080302751/electrodynamics-of-continuous-media .

[8] P. C. Clemmow, “An introduction to electromagnetic theory,” University Press. pp. 183., 1973, https://www.cambridge.org/ua/academic/subjects/physics/general-and-classical-physics/introduction-electromagnetic theory?format=PB&isbn=9780521098151.

[9] V.L Kuznetsov, I.A. Simonova, A.I. Stadnichenko, A.V. Ishchenko, “Oxidation behavior of multiwall carbon nanotubes with different diameters and morphology”, Appl. Surf. Sci., vol. 12, pp. 258–298, 2012, DOI: 10.1016/j.apsusc.2012.03.021.

[10] Tae-In Jeon, Joo-Hiuk Son, Kay Hyeok An, Young Hee Lee, and Young Seak Lee, Terahertz absorption and dispersion of fluorine-doped single-walled carbon nanotube. Journal of Applied Physics - v. 10.- p. 3-4, 1998, DOI: 10.1063/1.2001751.

[11] A. C. Lasaga, R. T. Cygan, “Electronic and ionic polarizabilities of silicate minerals,” American Mineralogist, vol. 67, pp. 328–334, 1982, https://www.sandia.gov/geo/Pubs/Lasaga1982AM.pdf .

[12] D. R. Lide CRC Handbook of Chemistry and Physics (87th ed.). Boca Raton, FL: CRC Press. 2006, https://academia.edu/33987940/Handbook_of_Chemistry_and_Physics_84th_David_R_Lide .

[13] Y. V. Tolstobrov, N. A Manakov, M. V. Pletneva, “The phenomenon of thermal magnetization of highly anisotropic single crystals,” Tech. Phys. Lett., vol. 32, pp. 332 – 327, April 2006, DOI: 10.1134/S106378500604016X.

[14] M. V. Strikha, A. I. Kurchak, A. N. Morozovska, “Influence of Domain Structure in Ferroelectric Substrate on Graphene Conductance,” (Authors' Review), Ukr. J. Phys, vol.63, pp. 49–69, 2018, DOI: 10.15407/ujpe63.01.0049.

[15] D. Koroliouk, “Stationary statistical experiments and the optimal estimator for a predictable component,” Journal of Mathematical Sciences, vol. 214(2), pp. 220–228, 2016, https://www.dspace.nbuv.gov.ua/handle/123456789/140874 .

[16] D. Koroliouk, V.S. Koroliuk, and N. Rosato, “Equilibrium Processes in Biomedical Data Analysis: The Wright–Fisher Model”, Cybernetics and Systems Analysis, vol. 50, n. 6, 890–897, 2014, DOI: 10.1007/s10559-014-9680-y

[17] D. Koroliouk, “Statistical experiments in a balanced Markov random environment,” Cybernetics and Systems Analysis, vol. 51, pp. 766–771, 2015, DOI: 10.1007/s10559-015-9769-y.

[18] D. Koroliouk, “The problem of discrete Markov diffusion leaving an interval”, Cybernetics and Systems Analysis, vol. 52, n. 4, 571-576. 2016, DOI: 10.1007/s10559-016-9859-5.

[19] D. Koroliouk, “Two component binary statistical experiments with persistent linear regression,” Theory of Probability and Mathematical Statistics, vol. 90, pp. 103–114, 2015, DOI: 10.1090/tpms/952.

The Principle of Creating Quasiperiodic Surfaces under the Action of a Vibrating Dielectric Matrix

Abstract

Keywords

References

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