Abstract
An investigation is performed of the propagation of three-dimensional pulses with Mathieu and Bessel cross sections inside an array of semiconducting carbon nanotubes with impurities. Maxwell’s equations are used to obtain an effective equation for the vector potential of the electromagnetic field. An analysis is performed of the dependence of the shape of a pulse on the parameters of impurities and the Mathieu and Bessel functions.
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REFERENCES
Recami, E., Phys. A (Amsterdam, Neth.), 1998, vol. 252, p. 586.
Ziolkowski, R.W., Phys. Rev. A: At., Mol., Opt. Phys., 1989, vol. 39, p. 2005.
Zamboni-Rached, M., Recami, E., and Hernández-Figueroa, H.E., Eur. Phys. J. D, 2002, vol. 21, p. 217.
Durnin, J., Miceli, J.J., and Eberly, J.H., Phys. Rev. Lett., 1987, vol. 58, p. 1499.
Gutiérrez-Vega, J.C., Iturbe-Castillo, M.D., and Chávez-Cerda, S., Opt. Lett., 2000, vol. 25, p. 1493.
Mihalache, D., Rom. Rep. Phys., 2021, vol. 73, 403.
Saito, R. and Dresselhaus, M.S., Optical Properties of Carbon Nanotubes, Amsterdam: Elsevier, 2014.
Belonenko, M.B., Lebedev, N.G., and Popov, A.S., JETP Lett., 2010, vol. 91, no. 9, p. 461.
Belonenko, M.B., Dvuzhilov, I.S., Nevzorova, Yu.V., et al., J. Nano-Electron. Phys., 2016, vol. 8, no. 3, 03042.
Konobeeva, N.N. and Belonenko, M.B., Mod. Phys. Lett. A, vol. 31, no. 2, 1750005.
Belonenko, M.B. and Mostovaya, E.I., Opt. Spectrosc., 2019, vol. 126, p. 482.
Gutiérrez-Vega, J.C., Iturbe-Castillo, M.D., and Ramírez, G.A., Opt. Commun., 2001, vol. 195, p. 35.
Zhukov, A.V., Bouffanais, R., Fedorov, E.G., et al., J. Appl. Phys., 2013, vol. 114, 143016.
Zhukov, A.V., Bouffanais, R., Konobeeva, N.N., et al., Europhys. Lett., 2014, vol. 106, 37005.
Eletskii, A.V., Phys.—Usp., 1997, vol. 40, p. 899.
Dresselhaus, M.S., Dresselhaus, G., and Eklund, P.C., Science of Fullerenes and Carbon Nanotubes, New York: Academic, 1996.
Belonenko, M.B., Demushkina, E.V., and Lebedev, N.G., J. Russ. Laser Res., 2006, vol. 27, p. 457.
Abramovits, M. and Stigan, I., Spravochnik po spetsial’nym funktsiyam, s formulami, grafikami i matematicheskimi tablitsami (Reference for Special Functions, with Formulas, Graphs, and Math Tables), Moscow: Nauka, 1979.
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This work was supported by the RF Ministry of Science and Higher Education as part of State Task no. 0633-2020-0003.
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Translated by O. Zhukova
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Belonenko, M.B., Konobeeva, N.N. Three-Dimensional Mathieu and Bessel Pulses in an Array of Impurity Carbon Nanotubes. Bull. Russ. Acad. Sci. Phys. 86, 42–45 (2022). https://doi.org/10.3103/S1062873822010051
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DOI: https://doi.org/10.3103/S1062873822010051