Взаимодействие высокочастотного электромагнитного излучения со слоистым цилиндром
DOI :
https://doi.org/10.15587/2313-8416.2015.56361Mots-clés :
слоистый цилиндр, электромагнитная энергия, решение Ми, плоская волна, трансляционные матрицыRésumé
Решена задача электродинамики для бесконечно длинного кругового цилиндра и построено обобщение решения Ми на слоистые цилиндры с произвольным числом слоев. Для гармонического электромагнитного поля найдены частотные зависимости напряженностей и энергии в слоях. Подробно рассмотрен случай взаимодействия плоской волны с цилиндрическим объектом. В нулевом приближении получены замкнутые формулы для электрически тонких слоев
Références
Born, M., Wolf, E. (1999). Principles of optics. 7th ed. Cambridge University Press. Cambridge, 987.
Rothwell, E. J., Cloud, M. J. (2009). Electromagnetics. 2nd ed. CRC Press, Taylor & Francis Group, 540.
Bohren C, Huffman, D. (1983). Absorption and Scattering of Light by Small Particles. New York: Wiley, 545.
Chew, W. C. (1990). Waves and fields in inhomogenejus anisotropic media. New York: Van Nostrand, 611.
Tai, C. T. (1994). Dyadic Green’s functions in electromagnetic theory. 2nd ed. New Jork, IEEE Press, Piscataway.
Aden, A. L., Kerker, M. (1951). Scattering of electromagnetic waves from two concentric spheres. Journal of Applied Physics, 22 (10), 1242−1246. doi: 10.1063/1.1699834
Wu, Z. S., Wang, Y. P. (1991). Electromagnetic scattering for multilayered sphere: Recursive algorithms. Radio Science, 26 (6), 1393–1401. doi: 10.1029/91rs01192
Tarento, R. J., Bennemann, K. H., Joyes, P., Van de Wabble, J. (2004). Mie scattering of magnetic spheres. Physical Review E, 69 (2), 026606, 1−5. doi: 10.1103/physreve.69.026606
Barber, P. W., Hill S. C. (1990). Light scattering by particles: comptation mrthods. Singapore, New Jersey, London, Hong Hong: World Scientific, 261.
Brehovskih, L. M. (1973). Volny v sloistyh sredah. Moscow: Nauka, 343.
Afanas’ev, A. M., Podgorny, V. V., Sipliwy, B. N., Yacyshen, V. V. (2001) Matematicheskoe modelirovanie vsaimodeistviya SVC islucheniya s wlagosoderzhaschimi ploskimi sloistymi sredami. Chast 1. Isvestiya wusov. Electrotechnika, 2, 14–21.
Gurwich, I., Kleiman, M., Shiloah, N., Cohen, A. (2000). Scattering of electromagnetic radiation by multilayered spheroidal particles: recursive procedure. Applied Optics, 39 (3), 470–477. doi: 10.1364/ao.39.000470
Roth, J., Dignam, M. J. (1973). Scattering and extinction cross sections for a spherical particle coated with an oriented molecular layer. Journal of the Optical Society of America, 63 (3), 308–311. doi: 10.1364/josa.63.000308
Lopatin, V. N., Sidko, F. Ya. (1988). Wvedenie v optiku vsvesey kletok. Novosibirsk: Nauka, 240.
Velichko, E, A., Nikolayenko, A. P. (2013). Vliyanie dielectricheskogo pokrytiya na rassseyanie ploskoy electromagnitnoy volny metallicheskim cylindrom. Radiophysika i radioastronomiya, 16 (1), 67–74.
Afanas’ev, A. M., Podgorny, V. V., Siplivi, B. N. (2013). Sloisty cylinder vo vneshnem garmonicheskom electromagnitnom pole. Isvestiya wusov. Electrotechnika, 3, 5–11.
Tricarico, S., Bilotti, F., Vegni, L. (2009). Scattering cancellation by metamaterial cylindrical multilayers. Journal of the European Optical Society: Rapid Publications, 4, 0921-1–0921-10. doi: 10.2971/jeos.2009.09021
Qiu, C.-W., Yao, H.-Y., Burokur, S.-N., Zouhdi, S., Li, L.-W. (2007). Electromagnetic Scattering Properties in a Multilayered Metamaterial Cylinder. IEICE Transactions on Communications, E90-B (9), 2423–2429. doi: 10.1093/ietcom/e90-b.9.2423
Grechko, L. G., Lerman, L. B., Shkoda, N. G. (2004). Rossiyuvannya electromagnitnogo vyprominuvannya na bagatosharoviy kuli. Visn. Kyivs. un-tu. Ser.: phys.-math., 3, 376–384.
Grechko, L. G., Lerman, L. B., Shkoda, N. G. (2004). Bagatisharovy elipsoid v electrychnomu poli. Visn. Kyivs. un-tu. Ser.: phys.-math., 1, 386–394.
Grechko, L. G., Lerman, L. B., Vodopyanov, S. V., Sostak, S. V. (2007). Polyarisovnost strukturno-neodnorodnych kulyovych chastinok. Visn. Kyivs. un-tu. Ser. : phys.-math., 1, 207–212.
He, B., Rui, X., Zhang, H. (2012). Transfer Matrix Method for Natural Vibration Analysis of Tree System. Mathematical Problems in Engineering, 2012, 1–19. doi: 10.1155/2012/393204
Khorasani, S., Adibi, A. (2003). Analytial solution of linear ordinary differential equations by differential transfer matrix method. Electronic J. of Differential Equatios, 2003 (79), 1–18.
Porodko, L. V., Lerman, L. B. (2013). Electrodynamic energy in spherical nanoparticles layered. Technology audit and production reserves, 6/1 (14), 41–44. Available at: http://journals.uran.ua/tarp/article/view/19549/17221
Cherenkov, V. S., Ivanicky, A. M. (2006). Tehnicheskaya electrodynamica: Konspekt lekcy. Odesaa: ONAS im. A.S. Popova, 160.
Silveirinha, M. G., Alu, A., Engheta, N. (2007). Parallel Plate Metamaterials for Cloaking Structures. Physical Review E, 75 (036603), 1–16. doi: 10.1103/physreve.75.036603
Abromovich, A., Stigan, I. (Eds.) (1979). Spravochnik po special'nym funkcijam. Moscow: Nauka, 832.
Téléchargements
Publié-e
Numéro
Rubrique
Licence
(c) Tous droits réservés Леонид Борисович Лерман 2015
Cette œuvre est sous licence Creative Commons Attribution 4.0 International.
Our journal abides by the Creative Commons CC BY copyright rights and permissions for open access journals.
Authors, who are published in this journal, agree to the following conditions:
1. The authors reserve the right to authorship of the work and pass the first publication right of this work to the journal under the terms of a Creative Commons CC BY, which allows others to freely distribute the published research with the obligatory reference to the authors of the original work and the first publication of the work in this journal.
2. The authors have the right to conclude separate supplement agreements that relate to non-exclusive work distribution in the form in which it has been published by the journal (for example, to upload the work to the online storage of the journal or publish it as part of a monograph), provided that the reference to the first publication of the work in this journal is included.
