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Self-focusing of super-Gaussian laser beams propagating in an array of carbon nanotubes

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Russian Physics Journal Aims and scope

Propagation of a monochromatic laser beam in an array of carbon semiconductor nanotubes is considered. Initial distribution of the field intensity in the beam incident on the system is chosen in the form of a super-Gaussian profile in the plane perpendicular to the wave vector. The electromagnetic field of laser radiation in the nanotube array is described semiclassically by the Maxwell equations. In the approximation of slowly varying amplitudes and phases, the effective equation is derived and solved numerically that allows the intensity distribution of the beam field in the system to be determined. The phenomenon of laser beam self-focusing onto a waist region with increased field intensity is revealed. Dependences of the characteristics of the waist region on the amplitude and frequency of the laser radiation field incident on the system are obtained.

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References

  1. P. J. F. Harris, Carbon Nanotubes and Related Structures: New Materials for the Twenty-First Century [Russian translation], Tekhnosfera, Moscow (2003).

    Google Scholar 

  2. S. A. Maksimenko and G. Ya. Slepyan, Radiotekh. Elektron., 47, No. 3, 261–280 (2002).

    Google Scholar 

  3. S. A. Maksimenko and G. Ya. Slepyan, in: Handbook of Nanotechnology. Nanometer Structure: Theory, Modeling, and Simulation, SPIE Press, Bellingham (2004), pp. 145–206.

    Chapter  Google Scholar 

  4. A. A. Grigor’kin and S. M. Dunaevskii, Fiz. Tverd. Tela, 51, No. 2, 403–409 (2009).

    Google Scholar 

  5. M. B. Belonenko, E. V. Demushkina, and N. G. Lebedev, Fiz. Tverd. Tela, 50, No. 3, 368–374 (2008).

    Google Scholar 

  6. M. B. Belonenko and N. G. Lebedev, Khim. Fiz., 29, No. 2, 71–76 (2010).

    Google Scholar 

  7. M. B. Belonenko, S. Yu. Glazov, and N. E. Meshcheryakova, Fiz. Tekh. Poluprovodn., 44, No. 9, 1248–1253 (2010).

    Google Scholar 

  8. M. B. Belonenko, N. G. Lebedev, and A. S. Popov, Pis’ma Zh. Eksp. Teor. Fiz., 91, No. 9, 506–510 (2010).

    Google Scholar 

  9. M. B. Belonenko, N. G. Lebedev, and E. V. Sochneva, Izv. Ross. Akad. Nauk. Ser. Fizich., 75, No. 2, 183–186 (2011).

    Google Scholar 

  10. L. D. Landau and E. M. Lifshits, Electrodynamics of Continuous Media [in Russian], Nauka, Moscow (1982).

    Google Scholar 

  11. É. M. Épshtein, Fiz. Tverd. Tela, 19, No. 11, 3456–3458 (1977).

    Google Scholar 

  12. G. Korn and T. Korn, Handbook in Mathematics (for Scientific Workers and Engineers) [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  13. N. N. Akhmediev and A. Ankevich, Solitons [in Russian], Fizmatlit, Moscow (2003).

    Google Scholar 

  14. A. V. Volodenko, O. V. Gurin, A. V. Degtyarev, et al., Kvant. Elektron., 37, No. 11, 1065–1070 (2007).

    Article  ADS  Google Scholar 

  15. V. M. Verzhbitskii, Numerical Methods (Linear Algebra and Nonlinear Equations) [in Russian], Vysshaya Shkola, Moscow (2000).

    Google Scholar 

  16. S. A. Akhmanov, A. P. Sukhorukov, and R. V. Khokhlov, Zh. Eksp. Teor. Fiz., 50, No. 6, 1537–1549 (1966).

    Google Scholar 

  17. S. A. Akhmanov, A. P. Sukhorukov, and R. V. Khokhlov, Usp. Fiz. Nauk, 93, No. 1, 19–70 (1967).

    Google Scholar 

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Correspondence to M. B. Belonenko.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 83–89, April, 2012.

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Belonenko, M.B., Fedorov, É.G. Self-focusing of super-Gaussian laser beams propagating in an array of carbon nanotubes. Russ Phys J 55, 436–443 (2012). https://doi.org/10.1007/s11182-012-9830-5

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  • DOI: https://doi.org/10.1007/s11182-012-9830-5

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