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THz generation by self-focused Gaussian laser beam in the array of anharmonic VA-CNTs

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Abstract

In the present work, we have studied the effect of self-focusing and defocusing of Gaussian laser beam on the terahertz (THz) generation in the macroscopic dense array of anharmonic vertically aligned carbon nanotubes (VA-CNTs). The strong transverse nonlinear current is observed by the interaction of Gaussian laser beam with VA-CNTs as the transverse component of nonlinear ponderomotive force experienced by the plasma electrons of VA-CNTs is stronger which is further responsible for the THz generation at the modulation frequency. The anharmonic behavior of VA-CNTs also proved to be crucial in broadening the surface plasmon resonance peaks. The graphical anatomization shows that the self-focusing of the Gaussian laser beam is responsible for many fold enhancements in the THz generation. We have also studied the transient self-focusing of the Gaussian laser beam and its effect on the THz field amplitude.

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The data that support the findings of this study are available from the corresponding authors upon reasonable request.

References

  • Akhmanov, S.A., Sukhorukov, A.P., Khokhlov, R.V.: Self-focusing and diffraction of light in a nonlinear medium. Sov. Phys. Uspekhi 10(5), 609 (1968)

    Article  ADS  Google Scholar 

  • Castro-Camus, E., Koch, M., Mittleman, D.M.: Recent advances in terahertz imaging: 1999 to 2021. Appl. Phys. B 128(1), 12 (2022)

    Article  ADS  Google Scholar 

  • Dhillon, S.S., et al.: The 2017 terahertz science and technology roadmap”. J. Phys. D Appl. Phys. 50(4), 910–928 (2017)

    Article  Google Scholar 

  • Federici, J., Moeller, L.J.: Review of terahertz and subterahertz wireless communications. Appl. Phys. 107(11), 111101 (2010)

    Article  Google Scholar 

  • Ferguson, B., Zhang, X.-C.: Materials for terahertz science and technology. Nat. Mater. 1(1), 26–33 (2002)

    Article  ADS  Google Scholar 

  • Govind, M.M.S., Sharma, R.P.: Cross-focusing of two co-axial Gaussian electromagnetic beams in a magnetoplasma and plasma wave generation. Plasma Phys. 21(1), 13 (1979)

    Article  ADS  Google Scholar 

  • Hussain, S., Singh, M., Singh, R.K., Sharma, R.P.: THz generation by self-focusing by hollow Gaussian laser beam in magnetized plasma. EPL 107, 65002 (2014)

    Article  ADS  Google Scholar 

  • Jackson, J.B., Mourou, M., Whitaker, J.F., DulingIII, I.N., Williamson, S.L., Menu, M., Mourou, G.A.: Terahertz imaging for non-destructive evaluation of mural paintings. Opt. Commun. 281(4), 527–532 (2008)

    Article  ADS  Google Scholar 

  • Jackson, J.B., Bowen, J., Walker, G., Labaune, J., Mourou, G., Menu, M., Fukunaga, K.J.B.: A survey of terahertz applications in cultural heritage conservation science. IEEE Trans. Terahertz Sci. Technol. 1(1), 220–231 (2011)

    Article  ADS  Google Scholar 

  • Jain, S., Parashar, J., Kurchania, R.: Effect of magnetic field on terahertz generation via laser interaction with a carbon nanotube array. Int. Nano Lett. 3(1), 5326 (2013)

    Article  Google Scholar 

  • Kant, N., Vij, S., Chakravati, S.K., Kushwaha, J.P., Thakur, V.: Relativistic self-focusing of Hermite-cosh-Gaussian laser beam in magnetoplasma with exponential plasma density ramp. Commun. Theor. Phys. 71(12), 1469 (2019)

    Article  ADS  MathSciNet  Google Scholar 

  • Kumar, S., Vij, S., Kant, N., Mehta, A., Thakur, V.: Resonant terahertz generation from laser filaments in the presence of static electric field in a magnetized collisional plasma. Euro. Phys. J. plus 136, 148 (2021)

    Article  Google Scholar 

  • Kumar, S., Vij, S., Kant, N., Thakur, V.: Combined effect of transverse electric and magnetic fields on THz generation by beating of two amplitude-modulated laser beams in the collisional plasma. J. Astrophys. Astron. 43, 30 (2022a)

    Article  Google Scholar 

  • Kumar, S., Vij, S., Kant, N., Thakur, V.: Resonant excitation of THz radiations by interaction of amplitude-modulated lasers with an anharmonic CNTs in the presence of static D.C. electric and magnetic fields. Chin. J. Phys. 78, 453–462 (2022b)

    Article  MathSciNet  Google Scholar 

  • Kumar, S., Vij, S., Kant, N., Thakur, V.: Interaction of spatial-Gaussian lasers with the magnetized CNTs in the presence of DC electric field and enhanced THz emission. Phys. Scr. 98, 015015 (2022c)

    Article  ADS  Google Scholar 

  • Kumar, S., Vij, S., Kant, N., Thakur, V.: Resonant terahertz generation by the interaction of laser beams with magnetized anharmonic carbon nanotube array. Plasmonics 17, 381–388 (2022d)

    Article  Google Scholar 

  • Kumar, S., Vij, S., Kant, N., Thakur, V.: Resonant Terahertz generation by cross-focusing of Gaussian beams in the array of vertically aligned anharmonic and magnetized CNTs. Opt. Commun. 513, 128112 (2022e)

    Article  Google Scholar 

  • Kumar, S., Vij, S., Kant, N., Thakur, V.: Interaction of obliquely incident lasers with anharmonic CNTs acting as dipole antenna to generate resonant THz radiation. Waves Random Complex Media (2022f). https://doi.org/10.1080/17455030.2022.2155330

    Article  Google Scholar 

  • Lu, W., Wang, D., Chen, L.: Near-static dielectric polarization of individual carbon nanotubes. Nano Lett. 7, 2729 (2007)

    Article  ADS  Google Scholar 

  • Muñoz, E., Maser, W.K., Benito, A.M., Martínez, M.T., de la Fuente, G.F., Righi, A., Sauvajol, J.L., Anglaret, E., Maniette, Y.: Single-walled carbon nanotubes produced by cw CO2-laser ablation: study of parameters important for their formation. Appl. Phys. A 70, 145–151 (2000)

    Article  ADS  Google Scholar 

  • Niu, H.Y., He, X.T., Qiao, B., Zhou, C.T.: Resonant acceleration of electrons by intense circularly polarized Gaussian laser pulses. Laser Part. Beams 26, 51–59 (2008)

    Article  ADS  Google Scholar 

  • Reich, S., Thomson, C., Maultzsch, J.:Carbon nanotubes: basic concepts and physical properties. Wiley VCH 54–78 (2004).

  • Ren, Z.F., Huang, Z.P., Xu, J.W., Wang, J.H., Bush, P., Siegal, M.P., Provencio, P.N.: Synthesis of large arrays of well-aligned carbon nanotubes on glass. Science 282, 1105 (1998)

    Article  ADS  Google Scholar 

  • Sharma, A.K.: Transverse self-focusing and filamentation of a laser beam in a magnetoplasma. J. Appl. Phys. 49(4), 2396 (1978)

    Article  ADS  Google Scholar 

  • Sharma, R.P., Singh, R.K.: Terahertz generation by two cross focused laser beams in collisional plasmas. Phys. Plasmas 21(7), 073101 (2014)

    Article  ADS  Google Scholar 

  • Sharma, S., Vijay, A.: Terahertz generation via laser coupling to anharmonic carbon nanotube array. Phys. Plasmas. 25(2), 023114 (2018)

    Article  ADS  Google Scholar 

  • Sharma, S., Vijay, A.: Nonlinear mixing of lasers and terahertz generation on CNT embedded metal surface. Optik 199(1), 163381 (2019)

    Article  ADS  Google Scholar 

  • Siegel, P.H.: Terahertz technology in biology and medicine. IEEE Trans. Micro Theory Tech. 52(10), 2438–2447 (2004)

    Article  ADS  Google Scholar 

  • Sodha, M.S., Khanna, R.K., Tripathi, V.K.: The self-focusing of electromagnetic beams in a strongly ionized magnetoplasma. J. Phys. D Appl. Phys. 7(16), 2188 (1974)

    Article  ADS  Google Scholar 

  • Sodha, M.S., Ghatak, A.K., Tripathi, V.K.: V self focusing of laser beams in plasmas and semiconductors. Prog. Opt. 13, 171–265 (1976)

    ADS  Google Scholar 

  • Sodha, M.S., Salimullah, M., Sharma, R.P.: Generation of an ion-acoustic pulse by two electromagnetic pulses at difference frequencies in collisionless plasma. Phys. Rev. A 21, 1708–1716 (1980)

    Article  ADS  Google Scholar 

  • Sprangle, P., Esarey, E.: Stimulated backscattered harmonic generation from intense laser interactions with beams and plasmas. Phys. Rev. Lett. 67, 2021–2024 (1991)

    Article  ADS  Google Scholar 

  • Thakur, V., Kant, N.: Influence of linear absorption and density ramp on self-focusing of the Hermite-Gaussian chirped pulse laser in plasma. Opt. Quantum Electron. 53(1), 1–10 (2021)

    MathSciNet  Google Scholar 

  • Titova, L.V., Pint, C.L., Zhang, Q., Hauge, R.H., Kono, J., Hegmann, F.A.: Generation of terahertz Radiation by optical excitation of aligned carbon nanotubes. Nano Lett. 15(5), 3267–3272 (2015)

    Article  ADS  Google Scholar 

  • Tonouchi, M.: Cutting-edge terahertz technology. Nat. Photon. 1(1), 97–105 (2007)

    Article  ADS  Google Scholar 

  • Vij, S., Kant, N., Thakur, V.S.: Resonant enhancement of THz radiation through vertically aligned carbon nanotubes array by applying wiggler magnetic field. Plasmonics 14(1), 1051–1056 (2019)

    Article  Google Scholar 

  • Watanabe, S., Minami, N., Shimano, R.: Intense terahertz pulse induced exciton generation in carbon nanotubes. Opt. Express 19(2), 1528–1538 (2011)

    Article  ADS  Google Scholar 

  • Wu, H.C., Meyer-ter-Vehn, J., Ruhl, H., Sheng, Z.M.: Terahertz radiation from a laser plasma filament. Phys. Rev. E 83, 036407 (2011)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Department of Physics, Lovely Professional University, G.T. Road, Phagwara, Punjab, 144411, India

    Sandeep Kumar & Vishal Thakur

  2. Department of Physics, University of Allahabad, Prayagraj, U. P., 211002, India

    Niti Kant

Authors
  1. Sandeep Kumar
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  2. Niti Kant
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  3. Vishal Thakur
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Contributions

SK: derivation, methodology, analytical modeling and graph plotting; NK: numerical analysis and result discussion; VT: supervision, reviewing, and editing.

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Correspondence to Vishal Thakur.

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Kumar, S., Kant, N. & Thakur, V. THz generation by self-focused Gaussian laser beam in the array of anharmonic VA-CNTs. Opt Quant Electron 55, 281 (2023). https://doi.org/10.1007/s11082-023-04562-w

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