Abstract
A theoretical study is performed on the dynamics of extremely short three-dimensional optical pulses in a medium based on carbon nanotubes. The medium has a spatially modulated refractive index and contains a defect (an imperfect photonic crystal). The dynamics of the pulses are modeled numerically. Stable propagation of a pulse in such a medium is established. The effect the parameters of the photonic crystal’s index of propagation (depth and period of modulation, depth and width of the defect) have on the shape of the envelope and the group velocity of the pulse wave packet is determined.
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REFERENCES
Joannopoulos, J., Meade, R., and Winn, J., Photonic Crystals, Princeton: Princeton Univ. Press, 1995.
Shabanov, V.F., Vetrov, S.Ya., and Shabanov, A.V., Optika real’nyh fotonnyh kristallov. Zhidkokristallicheskie defekty, neodnorodnosti (Optics of Real Photonic Crystals: Liquid Crystal Defects, Inhomogeneities), Novosibirsk: Sib. Otd. Ross. Akad. Nauk, 2005.
John, S., Phys. Rev. Lett., 1987, vol. 58, p. 2486.
Yannopapas, V., Modinos, A., and Stefanou, N., Phys. Rev. B: Condens. Matter Mater. Phys., 2002, vol. 65, 235201.
Harris, P.J.F., Carbon Nanotubes and Related Structures: New Materials for the Twenty-First Century, Cambridge: Cambridge Univ. Press, 1999.
D’yachkov, P.N., Uglerodnye nanotrubki: stroenie, svoistva, primeneniya (Carbon Nanotubes: Structure, Properties, Applications), Moscow: BINOM, 2005.
Mihalache, D., Rom. J. Phys., 2021, vol. 73, p. 403.
Sazonov, S.V., and Sobolevskii, A.F., Quantum Electron., 2005, vol. 35, no. 11, p. 1019.
Li, P., Mihalache, D., and Malomed, B.A., Philos. Trans. R. Soc., A, 2018, vol. 376, 20170378.
Matveev, V.I. and Makarov, D.N., JETP Lett., 2016, vol. 103, no. 4, p. 286.
Dvuzhilova, Y.V., Dvuzhilov, I.S., Konobeeva, N.N., and Belonenko, M.B., Int. J. Mod. Phys. B, 2020, 2150017.
Zhukov, A.V., Bouffanais, R., Belonenko, M.B., et al., Eur. Phys. J. D, 2015, vol. 69, no. 5, p. 129.
Zhukov, A.V., Bouffanais, R., Belonenko, M.B., et al., Appl. Phys. B, 2017, vol. 123, no. 7, p. 196.
Belonenko, M., Demushkina, E.V., and Lebedev, N.G., J. Russ. Laser Res., 2006, vol. 27, p. 457.
Dresselhaus, M.S., Dresselhaus, G., and Eklund, P.C., Science of Fullerenes and Carbon Nanotubes, San Diego: Academic, 1996.
Konobeeva, N.N. and Skvortsov, D.S., Math. Phys. Comput. Simul., 2020, vol. 23, no. 3, p. 36.
Zhukov, A.V., Bouffanais, R., Fedorov, E.G., and Belonenko, M.B., J. Appl. Phys., 2013, vol. 114, 143106.
Bakhvalov, N.S., Chislennye metody (analiz, algebra, obyknovennye differentsial’nye uravneniya) (Numerical Methods: Analysis, Algebra, Ordinary Differential Equations), Moscow: Nauka, 1975.
Zhukov, A.V., Bouffanais, R., Malomed, B.A., et al., Phys. Rev. A, 2016, vol. 94, no. 5, 053823.
Funding
Our numerical modeling was supported by the RF Ministry of Science and Higher Education as part of a State Task, project no. 0633-2020-0003.
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Translated by N. Petrov
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Dvuzhilova, Y.V., Dvuzhilov, I.S. & Belonenko, M.B. Three-Dimensional Few-Cycle Optical Pulses in a Non-Ideal Photonic Crystal Made of Carbon Nanotubes. Bull. Russ. Acad. Sci. Phys. 85, 1354–1358 (2021). https://doi.org/10.3103/S1062873821120054
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DOI: https://doi.org/10.3103/S1062873821120054