danДоклады Национальной академии наук БеларусиDoklady of the National Academy of Sciences of Belarus1561-83232524-2431The Republican Unitary Enterprise Publishing House "Belaruskaya Navuka"10.29235/1561-8323-2018-62-1-33-40dan-487Research ArticleФИЗИКАPHYSICSСТИМУЛИРОВАННОЕ ИЗЛУЧЕНИЕ ЧЕРЕНКОВСКОГО ТИПА В ГРАФЕНОВЫХ СИСТЕМАХCHERENKOV-TYPE STIMULATED EMISSION IN GRAPHENE-BASED SYSTEMSБатраковК. Г.BatrakovKonstantin G.

канд. физ.-мат. наук, доцент

ул. Бобруйская, 11, 220030, Минск

Ph. D. (Physics and Mathematics), Assistant Professor

11, Bobruiskaya Str., 220030, Minsk

kgbatrakov@gmail.comМаксименкоС. А.MaksimenkoSergey A.

д-р физ.-мат. наук, профессор, директор

ул. Бобруйская, 11, 220030, Минск

D. Sc. (Physics and Mathematics), Professor, Director

11, Bobruiskaya Str., 220030, Minsk

sergey.maksimenko@gmail.comИнститут ядерных проблем Белорусского государственного университетаInstitute for Nuclear Problems of the Belarusian State University2018040320186213340Copyright © Батраков К.Г., Максименко С.А., 20182018Батраков К.Г., Максименко С.А.Batrakov K.G., Maksimenko S.A.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://doklady.belnauka.by/jour/article/view/487

Теоретически рассматривается механизм стимулированной эмиссии электромагнитного излучения электронным пучком, взаимодействующим с графеном и металлическими углеродными нанотрубками. Базовые физические свойства таких углеродных наноструктур: сильное замедление поверхностных электромагнитных волн, аномально большая длина свободного пробега и экстремально большая достижимая плотность тока электронов, позволяют предложить их в качестве кандидатов для разработки наноразмерных излучателей черенковского типа, подобных лампе бегущей волны и лазеру на свободных электронах. При использовании внешнего электронного пучка в графен/ полимерных слоистых структурах возможна макроскопическая генерация, причем частота генерации может перестраиваться путем допирования графена или изменением числа слоев в структуре и расстояния между слоями. 

A mechanism of stimulated emission of electromagnetic radiation by an electron beam in metal carbon nanotubes and graphene is theoretically considered. Three basic properties of graphene and carbon nanotubes: strong slowing down of surface electromagnetic waves, anomalously large electron free path length, and extremely high electron current density to be reached in the structures considered allow us to propose them as candidates for the development of Cherenkovtype nanoscale emitters analogous to a traveling-wave tube and a free electron-based laser. In graphene/polymer multi-layered structures exposed to an external electron beam, the generation is possible on a macroscopic scale, and the generation frequency tuning is proposed by varying the graphene doping, the number of graphene sheets, a distance between sheets, etc. 

графенуглеродные нанотрубкичеренковское излучениестимулированное излучениетерагерцовый диапазон частотgraphenecarbon nanotubesCherenkov radiationstimulated emissionteragertz frequency rangeРабота выполнена при поддержке проектов БРФФИ (Ф17Арм-025) и U.S. Air Force through CRDF Global Agreement grant (AF20- 15-61804-1).The work was sponsored by the Projects of the Belarusian Republican Foundation for Fundamental Research (Ф17Arm-025) and the U.S. Air Force through CRDF Global Agreement grant (AF20-15-61804-1).ReferencesTerahertz lasers based on optically pumped multiple graphene structures with slot-line and dielectric waveguides / V. Ryzhii [et al.] // J. Appl. Phys. – 2010. – Vol. 107, N 5. – P. 054505 (1–6). doi.org/10.1063/1.3327212Ryzhii V., Dubinov A., Otsuji T., Mitin V., Shur M. S. Terahertz lasers based on optically pumped multiple graphene structures with slot-line and dielectric waveguides. Journal of Applied Physics, 2010, vol. 107, no. 5, art. 054505 (1–6). doi. org/10.1063/1.3327212The gain enhancement effect of surface plasmon polaritons on terahertz stimulated emission in optically pumped monolayer graphene / T. Watanabe [et al.] // New J. Physics. – 2013. – Vol. 15, N 7. – P. 075003 (1–11). doi.org/10.1088/1367- 2630/15/7/075003Watanabe T., Fukushima T., Yabe Y., Tombet S. A. B., Satou A., Dubinov A. A., Aleshkin V. Ya., Mitin V., Ryzhii V., Otsuji T. The gain enhancement effect of surface plasmon polaritons on terahertz stimulated emission in optically pumped monolayer graphene. New Journal of Physics, 2013, vol. 15, no. 7, art. 075003 (1–11). doi: 10.1088/1367-2630/15/7/075003Multiwalled carbon nanotubes are ballistic conductors at room temperature / C. Berger [et al.] // Appl. Phys. A. – 2002. – Vol. 74, N 3. – P. 363–365. doi.org/10.1007/s003390201279Berger C., Yi Y., Wang Z. L., de Heer W. A., Multiwalled carbon nanotubes are ballistic conductors at room temperature. Applied Physics A: Materials Science & Processing, 2002, vol. 74, no. 3, pp. 363–365. doi.org/10.1007/s003390201279Katsnelson, M. I. Chiral tunnelling and the Klein paradox in graphene / M. I. Katsnelson, K. S. Novoselov, A. K. Geim // Nature Phys. – 2006. – Vol. 2, N 9. – P. 620–625. doi.org/10.1038/nphys384Katsnelson M. I., Novoselov K. S. Geim A. K. Chiral tunnelling and the Klein paradox in graphene. Nature Physics, 2006, vol. 2, no. 9, pp. 620–625. doi.org/10.1038/nphys384Electrodynamics of carbon nanotubes: Dynamic conductivity, impedance boundary conditions and surface wave propagation / G. Y. Slepyan [et al.] // Phys. Rev. B. – 1999. – Vol. 60, N 24. – P. 17136–17149. doi.org/10.1103/physrevb.60.17136Slepyan G. Y., Maksimenko S. A., Lakhtakia A., Yevtushenko O., Gusakov A. V. Electrodynamics of carbon nanotubes: Dynamic conductivity, impedance boundary conditions and surface wave propagation. Physical Review B, 1999, vol. 60, no. 24, pp. 17136–17149. doi.org/10.1103/physrevb.60.17136Experimental evidence of localized plasmon resonance in composite materials containing single-wall carbon nanotubes / M. V. Shuba [et al.] // Phys. Rev. B. – 2012. – Vol. 85, N 16. – P. 165435 (1–6). doi.org/10.1103/physrevb.85.165435Shuba M. V., Paddubskaya A. G., Plyushch A. O., Kuzhir P. P., Slepyan G. Ya., Maksimenko S. A., Ksenevich V. K., Buka P., Seliuta D., Kasalynas I., Macutkevic J., Valusis G., Thomsen C., Lakhtakia A. Experimental evidence of localized plasmon resonance in composite materials containing single-wall carbon nanotubes. Physical Review B, 2012, vol. 85, no. 16, art. 165435 (1–6). doi.org/10.1103/physrevb.85.165435Yao, Z. High-Field Electrical Transport in Single-Wall Carbon Nanotubes / Z. Yao, C. L. Kane, C. Dekker // Phys. Rev. Lett. – 2000. – Vol. 84, N 13. – P. 2941–2944. doi.org/10.1103/physrevlett.84.2941Yao Z., Kane C. L., Dekker C. High-field electrical transport in single-wall carbon nanotubes. Physical Review Letters, 2000, vol. 84, no. 13, pp. 2941–2944. doi.org/10.1103/physrevlett.84.2941Batrakov, K. G. Toward the nano-FEL: Undulator and Cherenkov mechanisms of light emission in carbon nanotubes / K. G. Batrakov, P. P. Kuzhir, S. A. Maksimenko // Physica E. – 2008. – Vol. 40, N 5. – P. 1065–1068. doi.org/10.1016/j. physe.2007.08.003Batrakov K., Kuzhir P., Maksimenko S. Toward the nano-FEL: Undulator and Cherenkov mechanisms of light emission in carbon nanotubes. Physica E: Low-dimensional Systems and Nanostructures, 2008, vol. 40, no. 5, pp. 1065–1068. doi. org/10.1016/j.physe.2007.08.003Carbon nanotube as a Cherenkov-type light emitter and free electron laser / K. G. Batrakov [et al.] // Phys. Rev. B. – 2009. – Vol. 79, N 12. – P. 125408 (1–12). doi.org/10.1103/physrevb.79.125408Batrakov K. G., Maksimenko S. A., Kuzhir P. P., Thomsen C. Carbon nanotube as a Cherenkov-type light emitter and free electron laser. Physical Review B, 2009, vol. 79, no. 12, pp. 125408 (1–12). doi.org/10.1103/physrevb.79.125408Batrakov, K. G. Cherenkov synchronism: non-relativistic electron beam in multi-walled nanotube and multi-layer graphene / K. G. Batrakov, P. P. Kuzhir, S. A. Maksimenko // Physica B. – 2010. – Vol. 405, N 14. – P. 3050–3053. doi. org/10.1016/j.physb.2010.01.047Batrakov K., Kuzhir P., Maksimenko S., Cherenkov synchronism: non-relativistic electron beam in multi-walled nanotube and multi-layer graphene. Physica B: Condensed Matter, 2010, vol. 405, no. 14, pp. 3050–3053. doi.org/10.1016/j. physb.2010.01.047Electric field effect in atomically thin carbon films / K. Novoselov [et al.] // Science. – 2004. – Vol. 306, N 5696. – P. 666–669. doi.org/10.1126/science.1102896Novoselov K., Geim A., Morozov S., Jiang D., Zhang Y., Dubonos S., Grigorieva I., Firsov A. Electric field effect in atomically thin carbon films. Science, 2004, vol. 306, no. 5696, pp. 666–669. doi.org/10.1126/science.1102896Flexible transparent graphene/polymer multilayers for efficient electromagnetic field absorption / K. Batrakov [et al.] // Scientific Reports. – 2014. – Vol. 4, N 1. – P. 7191 (1–5). doi.org/10.1038/srep07191Batrakov K., Kuzhir P., Maksimenko S., Paddubskaya A., Voronovich S., Lambin Ph., Kaplas T., Svirko Yu. Flexible transparent graphene/polymer multilayers for efficient electromagnetic field absorption. Scientific Reports, 2014, vol. 4, no. 1, art. 7191 (1–5). doi.org/10.1038/srep07191Graphene Doping: A Review / B. Guo [et al.] // Insciences J. – 2011. – Vol. 1, N 2. – P. 80–89. doi.org/10.5640/ insc.010280Guo B., Fang L., Zhang B., Gong J. R. Graphene Doping: A Review. Insciences Journal, 2011, vol. 1, no. 2, pp. 80–89. doi.org/10.5640/insc.010280Enhanced microwave-to-terahertz absorption in graphene / K. Batrakov [et al.] // Appl. Phys. Lett. – 2016. – Vol. 108, N 12. – P. 123101 (1–4). doi.org/10.1063/1.4944531Batrakov K., Kuzhir P., Maksimenko S., Volynets N., Voronovich S., Paddubskaya A., Valusis G., Kaplas T., Svirko Yu., Lambin Ph. Enhanced microwave-to-terahertz absorption in graphene. Applied Physics Letters, 2016, vol. 108, no. 12, art. 123101 (1–4). doi.org/10.1063/1.4944531Кузелев, М. В. Вынужденное излучение сильноточных релятивистских электронных пучков / М. В. Кузелев, А. А. Рухадзе // УФН. – 1987. – Т. 152. – С. 285–316.Kuzelev M. V., Rukhadze A. A. Stimulated radiation from high-current relativistic electron beams. Soviet Physics Uspekhi, 1987, vol. 30, no. 6, pp. 507–524. doi.org/10.1070/pu1987v030n06abeh002853

The authors declare that there are no conflicts of interest present.