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Self-Action of Nonparaxial Few-Cycle Optical Waves in Dielectric Media

  • Optics And Laser Physics
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Abstract

A mathematical model of evolution of the space–time spectra of nonparaxial few-cycle optical waves in isotropic dielectric media with an arbitrary dispersion of the refractive index and the inertialess third-order nonlinearity has been discussed. It has been shown that, at the self-focusing of a wave single-cycle at the input to a nonlinear medium into an optical filament with transverse dimensions comparable with the central radiation wavelength, the strength of the increased longitudinal component of its electric field can become larger than the initial longitudinal component by a factor of 7 and can be 18% of the transverse component of the input wave field. Errors of the calculations of the self-action of radiation with superwide time and spatial spectra within simplified mathematical models have been estimated.

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References

  1. M. B. Vinogradova, O. V. Rudenko, and A. P. Sukhorukov, Theory of Waves (Nauka, Moscow, 1990), p. 279 [in Russian].

    Google Scholar 

  2. S. A. Akhmanov, V. A. Vysloukh, and A. S. Chirkin, Optics of Femtosecond Pulses (Nauka, Moscow, 1988; AIP, New York, 1992).

    Google Scholar 

  3. R. W. Boyd, Nonlinear Optics (Academic, Springfield, VA, USA, 2008), p. 69.

    Book  Google Scholar 

  4. S. A. Iz’yurov and S. A. Kozlov, JETP Lett. 71, 453 (2000).

    Article  ADS  Google Scholar 

  5. M. D. Feit and J. A. Fleck, J. Opt. Soc. Am. B 5, 633 (1988).

    Article  ADS  Google Scholar 

  6. L. Novotny and B. Hecht, Principles of Nano-Optics (Cambridge Univ. Press, Cambridge, 2006; Fizmatlit, Moscow, 2009).

    Google Scholar 

  7. S. N. Vlasov and V. I. Talanov, Self-Focusing of Waves (Inst. Prikl. Fiz. RAN, N. Novgorod, 1997), p. 161 [in Russian].

    Google Scholar 

  8. R. Martnez-Herrero, P. M. Mejas, and A. Manjavacas, Eur. J. Phys. 33, 579 (2012).

    Google Scholar 

  9. D. A. Savel’ev and S. N. Khonina, Komp’yut. Opt. 36, 511 (2012).

    Google Scholar 

  10. T. Grosjean and D. Courjon, Opt. Expres. 14, 2203 (2006).

    Article  ADS  Google Scholar 

  11. X. S. Xie and R. C. Dunn, Science (Washington, DC, U. S.) 265, 361 (1994).

    Article  ADS  Google Scholar 

  12. S. V. Garnov and I. A. Shcherbakov, Phys. Usp. 54, 91 (2011).

    Article  ADS  Google Scholar 

  13. V. G. Bespalov, A. A. Gorodetskiy, I. Yu. Denisyuk, S. A. Kozlov, V. N. Krylov, G. V. Lukomskii, N. V. Petrov, and S. E. Putilin, J. Opt. Technol. 75, 636 (2008).

    Article  Google Scholar 

  14. A. I. Maimistov, Quantum Electron. 30, 287 (2000).

    Article  ADS  Google Scholar 

  15. C. V. Sazonov, Bull. Russ. Acad. Sci.: Phys. 75, 157 (2011).

    Article  Google Scholar 

  16. N. V. Vysotina, N. N. Rozanov, and V. E. Semenov, JETP Lett. 83, 279 (2006).

    Article  ADS  Google Scholar 

  17. S. A. Kozlov and V. V. Samartsev, Fundamentals of Femtosecond Optics (Fizmatlit, Moscow, 2009; Woodhead, UK, 2013).

    Book  Google Scholar 

  18. A. N. Berkovskii, S. A. Kozlov, and Yu. A. Shpolyanskii, J. Opt. Technol. 75, 631 (2008).

    Article  Google Scholar 

  19. S. A. Kozlov and P. A. Petroshenko, JETP Lett. 76, 206 (2002).

    Article  ADS  Google Scholar 

  20. V. N. Vasil’ev, S. A. Kozlov, P. A. Petroshenko, and N. N. Rozanov, Opt. Spectrosc. 96, 182 (2004).

    Article  ADS  Google Scholar 

  21. A. A. Ezerskaya, D. V. Ivanov, S. A. Kozlov, and Yu. S. Kivshar, J. Infrared, Millimeter, Terahertz Wave. 33, 926 (2012).

    Article  Google Scholar 

  22. V. G. Bespalov, S. A. Kozlov, Yu. A. Shpolyanskiy, and I. A. Walmsley, Phys. Rev. 66, 013811 (2002).

    Article  Google Scholar 

  23. A. A. Drozdov, Yu. S. Kivshar, S. A. Kozlov, and A. A. Sukhorukov, Phys. Rev. 86, 053822 (2012).

    Article  Google Scholar 

  24. R. W. Boyd, S. G. Lukishova, and Y. Shen, Self-Focusing: Past and Present (Springer, New York, 2009), p. 399.

    Book  Google Scholar 

  25. V. P. Kandidov, S. A. Shlenov, and O. G. Kosareva, Quantum Electron. 39, 205 (2009).

    Article  ADS  Google Scholar 

  26. M. Shalaby and C. P. Hauri, Nat. Commun. 6, 5976 (2015).

    Article  ADS  Google Scholar 

  27. Yu. A. Kapoyko, A. A. Drozdov, S. A. Kozlov, and X. Ch. Zhang, Phys. Rev. 94, 033803 (2016).

    Article  ADS  Google Scholar 

  28. E. A. Strepitov, E. P. Liakhov, N. S. Balbekin, M. K. Khodzitsky, O. A. Smolyanskaya, A. S. Trulyov, and M. K. Serebryakova, Proc. SPI. 9542, 95420M (2015).

    Google Scholar 

  29. K. Dolgaleva, D. V. Materikina, R. W. Boyd, and S. A. Kozlov, Phys. Rev. 92, 023809 (2015).

    Article  ADS  Google Scholar 

  30. M. A. Knyazev and S. A. Kozlov, Quantum Electron. 48, 119 (2018).

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. University of Information Technologies, Mechanics, and Optics (ITMO University), St. Petersburg, 197101, Russia

    D. A. Kislin, M. A. Knyazev, Yu. A. Shpolyanskii & S. A. Kozlov

Authors
  1. D. A. Kislin
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  2. M. A. Knyazev
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  3. Yu. A. Shpolyanskii
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  4. S. A. Kozlov
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Correspondence to D. A. Kislin.

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Original Russian Text © D.A. Kislin, M.A. Knyazev, Yu.A. Shpolyanskii, S.A. Kozlov, 2018, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2018, Vol. 107, No. 12, pp. 780–787.

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Kislin, D.A., Knyazev, M.A., Shpolyanskii, Y.A. et al. Self-Action of Nonparaxial Few-Cycle Optical Waves in Dielectric Media. Jetp Lett. 107, 753–760 (2018). https://doi.org/10.1134/S0021364018120093

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  • DOI: https://doi.org/10.1134/S0021364018120093

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